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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationMon, 19 Oct 2009 14:19:53 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Oct/19/t1255983878yb0cssuhnup0vr5.htm/, Retrieved Thu, 31 Oct 2024 22:50:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=48235, Retrieved Thu, 31 Oct 2024 22:50:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [WS3 robustness ce...] [2009-10-19 20:19:53] [87085ce7f5378f281469a8b1f0969170] [Current]
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Dataseries X:
87.28
87.28
87.09
86.92
87.59
90.72
90.69
90.3
89.55
88.94
88.41
87.82
87.07
86.82
86.4
86.02
85.66
85.32
85
84.67
83.94
82.83
81.95
81.19
80.48
78.86
69.47
68.77
70.06
73.95
75.8
77.79
81.57
83.07
84.34
85.1
85.25
84.26
83.63
86.44
85.3
84.1
83.36
82.48
81.58
80.47
79.34
82.13
81.69
80.7
79.88
79.16
78.38
77.42
76.47
75.46
74.48
78.27
80.7
79.91
78.75
77.78
81.14
81.08
80.03
78.91
78.01
76.9
75.97
81.93
80.27
78.67
77.42
76.16
74.7
76.39
76.04
74.65
73.29
71.79
74.39
74.91
74.54
73.08
72.75
71.32
70.38
70.35
70.01
69.36
67.77
69.26
69.8
68.38
67.62
68.39
66.95
65.21
66.64
63.45
60.66
62.34
60.32
58.64
60.46
58.59
61.87
61.85
67.44
77.06
91.74
93.15
94.15
93.11
91.51
89.96
88.16
86.98
88.03
86.24
84.65
83.23
81.7
80.25
78.8
77.51
76.2
75.04
74
75.49
77.14
76.15
76.27
78.19
76.49
77.31
76.65
74.99
73.51
72.07
70.59
71.96
76.29
74.86
74.93
71.9
71.01
77.47
75.78
76.6
76.07
74.57
73.02
72.65
73.16
71.53
69.78
67.98
69.96
72.16
70.47
68.86
67.37
65.87
72.16
71.34
69.93
68.44
67.16
66.01
67.25
70.91
69.75
68.59
67.48
66.31
64.81
66.58
65.97
64.7
64.7
60.94
59.08
58.42
57.77
57.11
53.31
49.96
49.4
48.84
48.3
47.74
47.24
46.76
46.29
48.9
49.23
48.53
48.03
54.34
53.79
53.24
52.96
52.17
51.7
58.55
78.2
77.03
76.19
77.15
75.87
95.47
109.67
112.28
112.01
107.93
105.96
105.06
102.98
102.2
105.23
101.85
99.89
96.23
94.76
91.51
91.63
91.54
85.23
87.83
87.38
84.44
85.19
84.03
86.73
102.52
104.45
106.98
107.02
99.26
94.45
113.44
157.33
147.38
171.89
171.95
132.71
126.02
121.18
115.45
110.48
117.85
117.63
124.65
109.59
111.27
99.78
98.21
99.2
97.97
89.55
87.91
93.34
94.42
93.2
90.29
91.46
89.98
88.35
88.41
82.44
79.89
75.69
75.66
84.5
96.73
87.48
82.39
83.48
79.31
78.16
72.77
72.45
68.46
67.62
68.76
70.07
68.55
65.3
58.96
59.17
62.37
66.28
55.62
55.23
55.85
56.75
50.89
53.88
52.95
55.08
53.61
58.78
61.85
55.91
53.32
46.41
44.57
50
50
53.36
46.23
50.45
49.07
45.85
48.45
49.96
46.53
50.51
47.58
48.05
46.84
47.67
49.16
55.54
55.82
58.22
56.19
57.77
63.19
54.76
55.74
62.54
61.39
69.6
79.23
80
93.68
107.63
100.18
97.3
90.45
80.64
80.58
75.82
85.59
89.35
89.42
104.73
95.32
89.27
90.44
86.97
79.98
81.22
87.35
83.64
82.22
94.4
102.18




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=48235&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=48235&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=48235&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean77.53816666666670.99356098102303378.0406720348745
Geometric Mean75.4064875707584
Harmonic Mean73.3492143886423
Quadratic Mean79.7907197541725
Winsorized Mean ( 1 / 120 )77.54155555555550.9931945414466778.072877286065
Winsorized Mean ( 2 / 120 )77.46277777777780.97304243254629479.6088384091023
Winsorized Mean ( 3 / 120 )77.38036111111110.95504485665294781.0227504729972
Winsorized Mean ( 4 / 120 )77.21869444444440.92460964806097583.5149131380815
Winsorized Mean ( 5 / 120 )77.12744444444440.90972589686944684.7809705207424
Winsorized Mean ( 6 / 120 )77.10844444444450.90598950254026785.1096444586204
Winsorized Mean ( 7 / 120 )77.04252777777780.89628343921014785.9577722931841
Winsorized Mean ( 8 / 120 )76.97741666666670.8856166880301386.9195643070897
Winsorized Mean ( 9 / 120 )76.98041666666670.88411977236000287.0701222541161
Winsorized Mean ( 10 / 120 )76.92236111111110.87630122503259287.780729860614
Winsorized Mean ( 11 / 120 )76.86308333333330.86873895646374588.4766163200615
Winsorized Mean ( 12 / 120 )76.83408333333330.86335986476863488.994272804103
Winsorized Mean ( 13 / 120 )76.82505555555560.8621810558130289.1054785274898
Winsorized Mean ( 14 / 120 )76.8060.85803368055507289.513968671152
Winsorized Mean ( 15 / 120 )76.77933333333330.85380461104091489.926116983285
Winsorized Mean ( 16 / 120 )76.74688888888890.84955361280880190.3378994942387
Winsorized Mean ( 17 / 120 )76.757750.84779738136942690.5378474701292
Winsorized Mean ( 18 / 120 )76.677750.8387364212063191.4205560427654
Winsorized Mean ( 19 / 120 )76.67088888888890.8362720713810791.6817522822087
Winsorized Mean ( 20 / 120 )76.6420.83234230003399192.0799051025883
Winsorized Mean ( 21 / 120 )76.643750.83172994140585292.1498026997213
Winsorized Mean ( 22 / 120 )76.59180555555560.82451682073161392.892956977632
Winsorized Mean ( 23 / 120 )76.58094444444440.81665648752912393.77375385353
Winsorized Mean ( 24 / 120 )76.56961111111110.8155513310519493.8869304674516
Winsorized Mean ( 25 / 120 )76.54947222222220.81307753656603694.1478134367387
Winsorized Mean ( 26 / 120 )76.529250.81113188459802594.348713758091
Winsorized Mean ( 27 / 120 )76.452750.7976685986451295.8452546958208
Winsorized Mean ( 28 / 120 )76.42163888888890.79394943780345496.2550450319828
Winsorized Mean ( 29 / 120 )76.42647222222220.7888245794302496.8865248562923
Winsorized Mean ( 30 / 120 )76.49230555555560.78265086425573597.7349020476663
Winsorized Mean ( 31 / 120 )76.50436111111110.7765078783181798.5236122482249
Winsorized Mean ( 32 / 120 )76.425250.757250506810145100.924660086310
Winsorized Mean ( 33 / 120 )76.39958333333330.754857678510186101.210579832901
Winsorized Mean ( 34 / 120 )76.41563888888890.75167843477487101.660012252148
Winsorized Mean ( 35 / 120 )76.37188888888890.746746624268885102.272827766261
Winsorized Mean ( 36 / 120 )76.36688888888890.746148739300877102.348077355787
Winsorized Mean ( 37 / 120 )76.269250.737239165366731103.452520678362
Winsorized Mean ( 38 / 120 )76.27030555555560.73286586279089104.071303396646
Winsorized Mean ( 39 / 120 )76.21722222222220.725254082107508105.090373294754
Winsorized Mean ( 40 / 120 )76.16388888888890.719305581529136105.885302220199
Winsorized Mean ( 41 / 120 )76.15933333333330.710294828738455107.222142484972
Winsorized Mean ( 42 / 120 )76.11966666666660.69920593507719108.865876057335
Winsorized Mean ( 43 / 120 )76.13997222222220.694585948750852109.619223307285
Winsorized Mean ( 44 / 120 )76.08986111111110.687817299633067110.625105172119
Winsorized Mean ( 45 / 120 )76.08986111111110.681634744260152111.628495688991
Winsorized Mean ( 46 / 120 )76.096250.680489556952096111.825742544579
Winsorized Mean ( 47 / 120 )76.10930555555560.678982503620495112.093176406937
Winsorized Mean ( 48 / 120 )76.08663888888890.675599264192376112.620961746967
Winsorized Mean ( 49 / 120 )76.026750.67052950118423113.383154455886
Winsorized Mean ( 50 / 120 )75.98786111111110.666386411920811114.029727725212
Winsorized Mean ( 51 / 120 )76.00769444444440.661630003652437114.879455322241
Winsorized Mean ( 52 / 120 )76.08136111111110.654403588220279116.260611158968
Winsorized Mean ( 53 / 120 )76.12847222222220.64963361730725117.186780662271
Winsorized Mean ( 54 / 120 )76.02197222222220.62691939195975121.26275434642
Winsorized Mean ( 55 / 120 )76.00516666666670.625748110543662121.462878410663
Winsorized Mean ( 56 / 120 )76.06116666666670.619123056382654122.853067548588
Winsorized Mean ( 57 / 120 )76.08808333333330.616256688088322123.46816643786
Winsorized Mean ( 58 / 120 )76.10902777777780.614586949281793123.837689470495
Winsorized Mean ( 59 / 120 )76.10738888888890.613493788213614124.055679700523
Winsorized Mean ( 60 / 120 )75.99238888888890.604343645807638125.743671528694
Winsorized Mean ( 61 / 120 )76.01102777777780.602104334417477126.242286316236
Winsorized Mean ( 62 / 120 )76.00069444444440.596838805138381127.338728296702
Winsorized Mean ( 63 / 120 )76.01994444444440.595053027755498127.753226853054
Winsorized Mean ( 64 / 120 )76.01105555555560.592108264976506128.373576340083
Winsorized Mean ( 65 / 120 )76.21688888888890.575772991889226132.373157411927
Winsorized Mean ( 66 / 120 )76.18572222222220.569949114645801133.671094953044
Winsorized Mean ( 67 / 120 )76.21922222222220.566844583887636134.462292467332
Winsorized Mean ( 68 / 120 )76.19466666666670.55760913523203136.645298386227
Winsorized Mean ( 69 / 120 )76.28091666666670.551076628342768138.421614605692
Winsorized Mean ( 70 / 120 )76.34508333333330.542686868673236140.679805870340
Winsorized Mean ( 71 / 120 )76.33127777777780.541761563091016140.894598247743
Winsorized Mean ( 72 / 120 )76.31927777777780.540394145651254141.228912992390
Winsorized Mean ( 73 / 120 )76.34766666666670.528876227256766144.358287878953
Winsorized Mean ( 74 / 120 )76.24488888888890.521265827083413146.268726871075
Winsorized Mean ( 75 / 120 )76.28030555555560.518646047195635147.075844823285
Winsorized Mean ( 76 / 120 )76.40486111111110.507780550872865150.468270160747
Winsorized Mean ( 77 / 120 )76.41983333333330.501102533954626152.503386343389
Winsorized Mean ( 78 / 120 )76.66250.480084930956597159.685287032954
Winsorized Mean ( 79 / 120 )76.63616666666670.478352125567853160.208688475444
Winsorized Mean ( 80 / 120 )76.64283333333330.475489264953848161.187305334375
Winsorized Mean ( 81 / 120 )76.73058333333330.46914369613728163.554544087662
Winsorized Mean ( 82 / 120 )76.69869444444440.464305286086242165.190224498539
Winsorized Mean ( 83 / 120 )76.804750.453740460255789169.270225442762
Winsorized Mean ( 84 / 120 )76.804750.45064876011655170.431512959530
Winsorized Mean ( 85 / 120 )76.80711111111110.449553717933252170.851909454156
Winsorized Mean ( 86 / 120 )76.85488888888890.444164428541761173.032516676790
Winsorized Mean ( 87 / 120 )76.86213888888890.443683873439305173.236269087440
Winsorized Mean ( 88 / 120 )76.88169444444440.436294722290048176.215045739961
Winsorized Mean ( 89 / 120 )76.89158333333330.434997783655332176.763161152697
Winsorized Mean ( 90 / 120 )76.94658333333330.428468424855271179.585189642211
Winsorized Mean ( 91 / 120 )76.99713888888890.424866592503677181.226625598299
Winsorized Mean ( 92 / 120 )77.00736111111110.422549979215991182.244385040540
Winsorized Mean ( 93 / 120 )77.01252777777780.418872585956862183.856691413338
Winsorized Mean ( 94 / 120 )77.00730555555550.416170368180146185.037935046403
Winsorized Mean ( 95 / 120 )76.94133333333330.41053730485223187.416179781830
Winsorized Mean ( 96 / 120 )76.9680.407458435504251188.8977949487
Winsorized Mean ( 97 / 120 )76.92488888888890.404686420202919190.085174714578
Winsorized Mean ( 98 / 120 )76.90583333333330.398245173381078193.111777552525
Winsorized Mean ( 99 / 120 )76.86458333333330.388280228948572197.961620506601
Winsorized Mean ( 100 / 120 )76.956250.380017586594581202.507075237284
Winsorized Mean ( 101 / 120 )76.88330555555560.375070736817405204.983481803819
Winsorized Mean ( 102 / 120 )76.89180555555560.373822804363409205.690516089558
Winsorized Mean ( 103 / 120 )76.88322222222220.372566849611933206.360878060687
Winsorized Mean ( 104 / 120 )76.90344444444440.370570331020731207.527257329573
Winsorized Mean ( 105 / 120 )76.90344444444440.369108178566174208.349337430509
Winsorized Mean ( 106 / 120 )76.9270.364318527496121211.153137142659
Winsorized Mean ( 107 / 120 )76.900250.362278640057109212.268241892146
Winsorized Mean ( 108 / 120 )76.828250.354455834187868216.749853126355
Winsorized Mean ( 109 / 120 )76.94330555555550.346549433859355222.026926140593
Winsorized Mean ( 110 / 120 )76.92802777777780.341830081849195225.047565625649
Winsorized Mean ( 111 / 120 )76.94344444444440.338600419308836227.239660841249
Winsorized Mean ( 112 / 120 )76.95277777777780.334200698607936230.259176890752
Winsorized Mean ( 113 / 120 )76.974750.329775595665591233.415543817427
Winsorized Mean ( 114 / 120 )76.93358333333330.326085655181052235.930597102217
Winsorized Mean ( 115 / 120 )76.91761111111110.324327754448249237.160126002674
Winsorized Mean ( 116 / 120 )76.93050.320000617914716240.407348277380
Winsorized Mean ( 117 / 120 )76.842750.313486202775661245.123228134511
Winsorized Mean ( 118 / 120 )76.85586111111110.312286658009559246.10677126257
Winsorized Mean ( 119 / 120 )76.82280555555550.308287796411395249.191847519774
Winsorized Mean ( 120 / 120 )76.78613888888890.305682842846176251.195448766252
Trimmed Mean ( 1 / 120 )77.36653631284920.95911915708821480.6641549603971
Trimmed Mean ( 2 / 120 )77.18955056179780.92284587191372183.642949392761
Trimmed Mean ( 3 / 120 )77.05062146892660.8956494734280386.027652284572
Trimmed Mean ( 4 / 120 )76.93821022727270.87385052782810588.0450463519172
Trimmed Mean ( 5 / 120 )76.86608571428570.85980818305301889.3991092773141
Trimmed Mean ( 6 / 120 )76.81201149425290.84862631755706290.513350699954
Trimmed Mean ( 7 / 120 )76.76060693641620.83772536349364491.6297993130998
Trimmed Mean ( 8 / 120 )76.71845930232560.82804895972127792.6496657011068
Trimmed Mean ( 9 / 120 )76.68438596491230.81960871691540993.562189349954
Trimmed Mean ( 10 / 120 )76.64955882352940.81104744601632494.5068740429603
Trimmed Mean ( 11 / 120 )76.62050295857990.80313448855820495.4018337528125
Trimmed Mean ( 12 / 120 )76.5968750.79579045299930896.2525683882094
Trimmed Mean ( 13 / 120 )76.5968750.7887420668110697.1127041691671
Trimmed Mean ( 14 / 120 )76.55475903614460.78154442404355197.9531766602158
Trimmed Mean ( 15 / 120 )76.53518181818180.77446414600572998.8234022361258
Trimmed Mean ( 16 / 120 )76.51731707317070.76749248097437999.6978067798492
Trimmed Mean ( 17 / 120 )76.5014723926380.760616892112443100.578192761631
Trimmed Mean ( 18 / 120 )76.48472222222220.753617633463439101.490091030272
Trimmed Mean ( 19 / 120 )76.47273291925470.747060309484031102.364871949993
Trimmed Mean ( 20 / 120 )76.4610.740433440532594103.265190109460
Trimmed Mean ( 21 / 120 )76.45075471698110.733834035941838104.179897596138
Trimmed Mean ( 22 / 120 )76.44028481012660.727017028713808105.14235814443
Trimmed Mean ( 23 / 120 )76.43238853503180.72042553649169106.093391563048
Trimmed Mean ( 24 / 120 )76.42493589743590.714093804227907107.023664741172
Trimmed Mean ( 25 / 120 )76.4179354838710.707580161186524107.998979727933
Trimmed Mean ( 26 / 120 )76.4179354838710.700960352376692109.018912731322
Trimmed Mean ( 27 / 120 )76.40647058823530.694191700535534110.065376075933
Trimmed Mean ( 28 / 120 )76.40444078947370.687963469128034111.058863178176
Trimmed Mean ( 29 / 120 )76.40370860927150.68169979760143112.078232791177
Trimmed Mean ( 30 / 120 )76.40276666666670.675474890577047113.109706567178
Trimmed Mean ( 31 / 120 )76.39916107382550.669342414247238114.140624361518
Trimmed Mean ( 32 / 120 )76.39503378378380.663297254494715115.174657012533
Trimmed Mean ( 33 / 120 )76.39387755102040.658051260744696116.091073915074
Trimmed Mean ( 34 / 120 )76.39366438356160.652712987442241117.040208871777
Trimmed Mean ( 35 / 120 )76.39286206896550.647316643495638118.014673091717
Trimmed Mean ( 36 / 120 )76.39361111111110.641947387615581119.00291610324
Trimmed Mean ( 37 / 120 )76.39454545454550.636378472056591120.045772773646
Trimmed Mean ( 38 / 120 )76.3988380281690.63102184164364121.071622226532
Trimmed Mean ( 39 / 120 )76.40315602836880.625652380462062122.117582245820
Trimmed Mean ( 40 / 120 )76.40928571428570.620425052681766123.156351253079
Trimmed Mean ( 41 / 120 )76.41723021582730.615257601163317124.203634496086
Trimmed Mean ( 42 / 120 )76.42543478260870.610298424246716125.226334767191
Trimmed Mean ( 43 / 120 )76.4350.605646172752605126.204050217324
Trimmed Mean ( 44 / 120 )76.4440808823530.60100416308521127.193929056885
Trimmed Mean ( 45 / 120 )76.45481481481480.596465745591069128.179724284169
Trimmed Mean ( 46 / 120 )76.46570895522390.592006914092867129.163540382619
Trimmed Mean ( 47 / 120 )76.47657894736840.587396063275608130.195933763835
Trimmed Mean ( 48 / 120 )76.48723484848480.582641658817966131.276632370672
Trimmed Mean ( 49 / 120 )76.48723484848480.577819035516275132.372300230892
Trimmed Mean ( 50 / 120 )76.51203846153850.572996658861515133.529641540249
Trimmed Mean ( 51 / 120 )76.52666666666670.568130496392898134.699100211202
Trimmed Mean ( 52 / 120 )76.52666666666670.563249841386019135.866290664820
Trimmed Mean ( 53 / 120 )76.55350393700790.558469004047475137.077444553217
Trimmed Mean ( 54 / 120 )76.56496031746030.553675597237758138.284874210524
Trimmed Mean ( 55 / 120 )76.579440.549651039667196139.323742653826
Trimmed Mean ( 56 / 120 )76.59459677419350.545476102016566140.417878053744
Trimmed Mean ( 57 / 120 )76.60853658536590.541390026073028141.503413243583
Trimmed Mean ( 58 / 120 )76.62200819672130.537226586254322142.625123471549
Trimmed Mean ( 59 / 120 )76.63516528925620.532927234481041143.800429647553
Trimmed Mean ( 60 / 120 )76.64858333333330.528455753336589145.042575181339
Trimmed Mean ( 61 / 120 )76.66512605042020.524144706552887146.26709969966
Trimmed Mean ( 62 / 120 )76.68148305084750.519709813565343147.546729057881
Trimmed Mean ( 63 / 120 )76.68148305084750.515273513072799148.817047850107
Trimmed Mean ( 64 / 120 )76.71508620689660.510683321454534150.220465372544
Trimmed Mean ( 65 / 120 )76.73230434782610.505977354181655151.651657359111
Trimmed Mean ( 66 / 120 )76.74482456140350.501774394090386152.946873067379
Trimmed Mean ( 67 / 120 )76.75831858407080.497596819829531154.258056975458
Trimmed Mean ( 68 / 120 )76.771250.493331456415312155.617990707185
Trimmed Mean ( 69 / 120 )76.7850.489237379276313156.948351153343
Trimmed Mean ( 70 / 120 )76.79695454545450.485214443772572158.274254880695
Trimmed Mean ( 71 / 120 )76.80761467889910.481343192278728159.569338282908
Trimmed Mean ( 72 / 120 )76.81879629629630.477290445087174160.947693562702
Trimmed Mean ( 73 / 120 )76.83046728971960.473064351801941162.410181610739
Trimmed Mean ( 74 / 120 )76.84169811320750.469115664878895163.801177121307
Trimmed Mean ( 75 / 120 )76.85552380952380.465263001259857165.187267419527
Trimmed Mean ( 76 / 120 )76.8687980769230.461304009171525166.633709112945
Trimmed Mean ( 77 / 120 )76.87946601941750.457614443560102168.000523369233
Trimmed Mean ( 78 / 120 )76.890.454003356396236169.359981411445
Trimmed Mean ( 79 / 120 )76.8951980198020.451125953511553170.451727330808
Trimmed Mean ( 80 / 120 )76.90110.448140915730486171.600265230521
Trimmed Mean ( 81 / 120 )76.90696969696970.445093310110218172.788419753883
Trimmed Mean ( 82 / 120 )76.91096938775510.442138324694538173.952279393312
Trimmed Mean ( 83 / 120 )76.91577319587630.43920576294788175.124690258228
Trimmed Mean ( 84 / 120 )76.918281250.436556647278521176.193128038494
Trimmed Mean ( 85 / 120 )76.92084210526320.433866347377724177.291561261136
Trimmed Mean ( 86 / 120 )76.92340425531920.431041902843514178.459225768696
Trimmed Mean ( 87 / 120 )76.92494623655910.428270857099177179.617512986052
Trimmed Mean ( 88 / 120 )76.92635869565220.425329434335582180.863002852885
Trimmed Mean ( 89 / 120 )76.92736263736260.422526498911457182.065178954571
Trimmed Mean ( 90 / 120 )76.92816666666670.419585215914513183.343368042644
Trimmed Mean ( 91 / 120 )76.92775280898880.416742555183588184.592986370446
Trimmed Mean ( 92 / 120 )76.92619318181820.413863964939035185.873136341189
Trimmed Mean ( 93 / 120 )76.9243678160920.410885318649921187.216150893024
Trimmed Mean ( 94 / 120 )76.92238372093020.407865535362539188.597410302286
Trimmed Mean ( 95 / 120 )76.92047058823530.404753643702255190.042688398426
Trimmed Mean ( 96 / 120 )76.920.401689607680064191.491137757452
Trimmed Mean ( 97 / 120 )76.91891566265060.398546208277207192.998739080087
Trimmed Mean ( 98 / 120 )76.91891566265060.395302449383711194.582441324534
Trimmed Mean ( 99 / 120 )76.9190740740740.392139503391394196.152321836602
Trimmed Mean ( 100 / 120 )76.92031250.389242455098642197.615423221259
Trimmed Mean ( 101 / 120 )76.9194936708860.386538061466049198.995910982603
Trimmed Mean ( 102 / 120 )76.92032051282050.383865298738306200.383626146055
Trimmed Mean ( 103 / 120 )76.9209740259740.381031560695428201.875597616072
Trimmed Mean ( 104 / 120 )76.9209740259740.378023957465234203.481743701517
Trimmed Mean ( 105 / 120 )76.92226666666670.374869166100343205.197635929535
Trimmed Mean ( 106 / 120 )76.92270270270270.371524707816399207.045994746375
Trimmed Mean ( 107 / 120 )76.9226027397260.368164901835762208.935187347220
Trimmed Mean ( 108 / 120 )76.9231250.364628440016867210.963042258694
Trimmed Mean ( 109 / 120 )76.9231250.361240021082387212.941868316568
Trimmed Mean ( 110 / 120 )76.92492857142860.358018563546746214.862960762046
Trimmed Mean ( 111 / 120 )76.92485507246380.354783264945283216.822107109048
Trimmed Mean ( 112 / 120 )76.92441176470590.35144178239492218.882374316737
Trimmed Mean ( 113 / 120 )76.92373134328360.348057592773596221.008628860227
Trimmed Mean ( 114 / 120 )76.92250.344628192356518223.204316147251
Trimmed Mean ( 115 / 120 )76.92250.341103356602257225.510826883171
Trimmed Mean ( 116 / 120 )76.922343750.337345774115623228.022253877813
Trimmed Mean ( 117 / 120 )76.92214285714290.333507356614663230.646015242235
Trimmed Mean ( 118 / 120 )76.92411290322580.32973001958112233.294235693032
Trimmed Mean ( 119 / 120 )76.92581967213110.32564714347501236.224457095643
Trimmed Mean ( 120 / 120 )76.92841666666670.321428272551474239.333074393284
Median76.775
Midrange108.26
Midmean - Weighted Average at Xnp76.8713259668508
Midmean - Weighted Average at X(n+1)p76.9281666666666
Midmean - Empirical Distribution Function76.8713259668508
Midmean - Empirical Distribution Function - Averaging76.9281666666666
Midmean - Empirical Distribution Function - Interpolation76.9281666666666
Midmean - Closest Observation76.8713259668508
Midmean - True Basic - Statistics Graphics Toolkit76.9281666666666
Midmean - MS Excel (old versions)76.9273626373626
Number of observations360

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 77.5381666666667 & 0.993560981023033 & 78.0406720348745 \tabularnewline
Geometric Mean & 75.4064875707584 &  &  \tabularnewline
Harmonic Mean & 73.3492143886423 &  &  \tabularnewline
Quadratic Mean & 79.7907197541725 &  &  \tabularnewline
Winsorized Mean ( 1 / 120 ) & 77.5415555555555 & 0.99319454144667 & 78.072877286065 \tabularnewline
Winsorized Mean ( 2 / 120 ) & 77.4627777777778 & 0.973042432546294 & 79.6088384091023 \tabularnewline
Winsorized Mean ( 3 / 120 ) & 77.3803611111111 & 0.955044856652947 & 81.0227504729972 \tabularnewline
Winsorized Mean ( 4 / 120 ) & 77.2186944444444 & 0.924609648060975 & 83.5149131380815 \tabularnewline
Winsorized Mean ( 5 / 120 ) & 77.1274444444444 & 0.909725896869446 & 84.7809705207424 \tabularnewline
Winsorized Mean ( 6 / 120 ) & 77.1084444444445 & 0.905989502540267 & 85.1096444586204 \tabularnewline
Winsorized Mean ( 7 / 120 ) & 77.0425277777778 & 0.896283439210147 & 85.9577722931841 \tabularnewline
Winsorized Mean ( 8 / 120 ) & 76.9774166666667 & 0.88561668803013 & 86.9195643070897 \tabularnewline
Winsorized Mean ( 9 / 120 ) & 76.9804166666667 & 0.884119772360002 & 87.0701222541161 \tabularnewline
Winsorized Mean ( 10 / 120 ) & 76.9223611111111 & 0.876301225032592 & 87.780729860614 \tabularnewline
Winsorized Mean ( 11 / 120 ) & 76.8630833333333 & 0.868738956463745 & 88.4766163200615 \tabularnewline
Winsorized Mean ( 12 / 120 ) & 76.8340833333333 & 0.863359864768634 & 88.994272804103 \tabularnewline
Winsorized Mean ( 13 / 120 ) & 76.8250555555556 & 0.86218105581302 & 89.1054785274898 \tabularnewline
Winsorized Mean ( 14 / 120 ) & 76.806 & 0.858033680555072 & 89.513968671152 \tabularnewline
Winsorized Mean ( 15 / 120 ) & 76.7793333333333 & 0.853804611040914 & 89.926116983285 \tabularnewline
Winsorized Mean ( 16 / 120 ) & 76.7468888888889 & 0.849553612808801 & 90.3378994942387 \tabularnewline
Winsorized Mean ( 17 / 120 ) & 76.75775 & 0.847797381369426 & 90.5378474701292 \tabularnewline
Winsorized Mean ( 18 / 120 ) & 76.67775 & 0.83873642120631 & 91.4205560427654 \tabularnewline
Winsorized Mean ( 19 / 120 ) & 76.6708888888889 & 0.83627207138107 & 91.6817522822087 \tabularnewline
Winsorized Mean ( 20 / 120 ) & 76.642 & 0.832342300033991 & 92.0799051025883 \tabularnewline
Winsorized Mean ( 21 / 120 ) & 76.64375 & 0.831729941405852 & 92.1498026997213 \tabularnewline
Winsorized Mean ( 22 / 120 ) & 76.5918055555556 & 0.824516820731613 & 92.892956977632 \tabularnewline
Winsorized Mean ( 23 / 120 ) & 76.5809444444444 & 0.816656487529123 & 93.77375385353 \tabularnewline
Winsorized Mean ( 24 / 120 ) & 76.5696111111111 & 0.81555133105194 & 93.8869304674516 \tabularnewline
Winsorized Mean ( 25 / 120 ) & 76.5494722222222 & 0.813077536566036 & 94.1478134367387 \tabularnewline
Winsorized Mean ( 26 / 120 ) & 76.52925 & 0.811131884598025 & 94.348713758091 \tabularnewline
Winsorized Mean ( 27 / 120 ) & 76.45275 & 0.79766859864512 & 95.8452546958208 \tabularnewline
Winsorized Mean ( 28 / 120 ) & 76.4216388888889 & 0.793949437803454 & 96.2550450319828 \tabularnewline
Winsorized Mean ( 29 / 120 ) & 76.4264722222222 & 0.78882457943024 & 96.8865248562923 \tabularnewline
Winsorized Mean ( 30 / 120 ) & 76.4923055555556 & 0.782650864255735 & 97.7349020476663 \tabularnewline
Winsorized Mean ( 31 / 120 ) & 76.5043611111111 & 0.77650787831817 & 98.5236122482249 \tabularnewline
Winsorized Mean ( 32 / 120 ) & 76.42525 & 0.757250506810145 & 100.924660086310 \tabularnewline
Winsorized Mean ( 33 / 120 ) & 76.3995833333333 & 0.754857678510186 & 101.210579832901 \tabularnewline
Winsorized Mean ( 34 / 120 ) & 76.4156388888889 & 0.75167843477487 & 101.660012252148 \tabularnewline
Winsorized Mean ( 35 / 120 ) & 76.3718888888889 & 0.746746624268885 & 102.272827766261 \tabularnewline
Winsorized Mean ( 36 / 120 ) & 76.3668888888889 & 0.746148739300877 & 102.348077355787 \tabularnewline
Winsorized Mean ( 37 / 120 ) & 76.26925 & 0.737239165366731 & 103.452520678362 \tabularnewline
Winsorized Mean ( 38 / 120 ) & 76.2703055555556 & 0.73286586279089 & 104.071303396646 \tabularnewline
Winsorized Mean ( 39 / 120 ) & 76.2172222222222 & 0.725254082107508 & 105.090373294754 \tabularnewline
Winsorized Mean ( 40 / 120 ) & 76.1638888888889 & 0.719305581529136 & 105.885302220199 \tabularnewline
Winsorized Mean ( 41 / 120 ) & 76.1593333333333 & 0.710294828738455 & 107.222142484972 \tabularnewline
Winsorized Mean ( 42 / 120 ) & 76.1196666666666 & 0.69920593507719 & 108.865876057335 \tabularnewline
Winsorized Mean ( 43 / 120 ) & 76.1399722222222 & 0.694585948750852 & 109.619223307285 \tabularnewline
Winsorized Mean ( 44 / 120 ) & 76.0898611111111 & 0.687817299633067 & 110.625105172119 \tabularnewline
Winsorized Mean ( 45 / 120 ) & 76.0898611111111 & 0.681634744260152 & 111.628495688991 \tabularnewline
Winsorized Mean ( 46 / 120 ) & 76.09625 & 0.680489556952096 & 111.825742544579 \tabularnewline
Winsorized Mean ( 47 / 120 ) & 76.1093055555556 & 0.678982503620495 & 112.093176406937 \tabularnewline
Winsorized Mean ( 48 / 120 ) & 76.0866388888889 & 0.675599264192376 & 112.620961746967 \tabularnewline
Winsorized Mean ( 49 / 120 ) & 76.02675 & 0.67052950118423 & 113.383154455886 \tabularnewline
Winsorized Mean ( 50 / 120 ) & 75.9878611111111 & 0.666386411920811 & 114.029727725212 \tabularnewline
Winsorized Mean ( 51 / 120 ) & 76.0076944444444 & 0.661630003652437 & 114.879455322241 \tabularnewline
Winsorized Mean ( 52 / 120 ) & 76.0813611111111 & 0.654403588220279 & 116.260611158968 \tabularnewline
Winsorized Mean ( 53 / 120 ) & 76.1284722222222 & 0.64963361730725 & 117.186780662271 \tabularnewline
Winsorized Mean ( 54 / 120 ) & 76.0219722222222 & 0.62691939195975 & 121.26275434642 \tabularnewline
Winsorized Mean ( 55 / 120 ) & 76.0051666666667 & 0.625748110543662 & 121.462878410663 \tabularnewline
Winsorized Mean ( 56 / 120 ) & 76.0611666666667 & 0.619123056382654 & 122.853067548588 \tabularnewline
Winsorized Mean ( 57 / 120 ) & 76.0880833333333 & 0.616256688088322 & 123.46816643786 \tabularnewline
Winsorized Mean ( 58 / 120 ) & 76.1090277777778 & 0.614586949281793 & 123.837689470495 \tabularnewline
Winsorized Mean ( 59 / 120 ) & 76.1073888888889 & 0.613493788213614 & 124.055679700523 \tabularnewline
Winsorized Mean ( 60 / 120 ) & 75.9923888888889 & 0.604343645807638 & 125.743671528694 \tabularnewline
Winsorized Mean ( 61 / 120 ) & 76.0110277777778 & 0.602104334417477 & 126.242286316236 \tabularnewline
Winsorized Mean ( 62 / 120 ) & 76.0006944444444 & 0.596838805138381 & 127.338728296702 \tabularnewline
Winsorized Mean ( 63 / 120 ) & 76.0199444444444 & 0.595053027755498 & 127.753226853054 \tabularnewline
Winsorized Mean ( 64 / 120 ) & 76.0110555555556 & 0.592108264976506 & 128.373576340083 \tabularnewline
Winsorized Mean ( 65 / 120 ) & 76.2168888888889 & 0.575772991889226 & 132.373157411927 \tabularnewline
Winsorized Mean ( 66 / 120 ) & 76.1857222222222 & 0.569949114645801 & 133.671094953044 \tabularnewline
Winsorized Mean ( 67 / 120 ) & 76.2192222222222 & 0.566844583887636 & 134.462292467332 \tabularnewline
Winsorized Mean ( 68 / 120 ) & 76.1946666666667 & 0.55760913523203 & 136.645298386227 \tabularnewline
Winsorized Mean ( 69 / 120 ) & 76.2809166666667 & 0.551076628342768 & 138.421614605692 \tabularnewline
Winsorized Mean ( 70 / 120 ) & 76.3450833333333 & 0.542686868673236 & 140.679805870340 \tabularnewline
Winsorized Mean ( 71 / 120 ) & 76.3312777777778 & 0.541761563091016 & 140.894598247743 \tabularnewline
Winsorized Mean ( 72 / 120 ) & 76.3192777777778 & 0.540394145651254 & 141.228912992390 \tabularnewline
Winsorized Mean ( 73 / 120 ) & 76.3476666666667 & 0.528876227256766 & 144.358287878953 \tabularnewline
Winsorized Mean ( 74 / 120 ) & 76.2448888888889 & 0.521265827083413 & 146.268726871075 \tabularnewline
Winsorized Mean ( 75 / 120 ) & 76.2803055555556 & 0.518646047195635 & 147.075844823285 \tabularnewline
Winsorized Mean ( 76 / 120 ) & 76.4048611111111 & 0.507780550872865 & 150.468270160747 \tabularnewline
Winsorized Mean ( 77 / 120 ) & 76.4198333333333 & 0.501102533954626 & 152.503386343389 \tabularnewline
Winsorized Mean ( 78 / 120 ) & 76.6625 & 0.480084930956597 & 159.685287032954 \tabularnewline
Winsorized Mean ( 79 / 120 ) & 76.6361666666667 & 0.478352125567853 & 160.208688475444 \tabularnewline
Winsorized Mean ( 80 / 120 ) & 76.6428333333333 & 0.475489264953848 & 161.187305334375 \tabularnewline
Winsorized Mean ( 81 / 120 ) & 76.7305833333333 & 0.46914369613728 & 163.554544087662 \tabularnewline
Winsorized Mean ( 82 / 120 ) & 76.6986944444444 & 0.464305286086242 & 165.190224498539 \tabularnewline
Winsorized Mean ( 83 / 120 ) & 76.80475 & 0.453740460255789 & 169.270225442762 \tabularnewline
Winsorized Mean ( 84 / 120 ) & 76.80475 & 0.45064876011655 & 170.431512959530 \tabularnewline
Winsorized Mean ( 85 / 120 ) & 76.8071111111111 & 0.449553717933252 & 170.851909454156 \tabularnewline
Winsorized Mean ( 86 / 120 ) & 76.8548888888889 & 0.444164428541761 & 173.032516676790 \tabularnewline
Winsorized Mean ( 87 / 120 ) & 76.8621388888889 & 0.443683873439305 & 173.236269087440 \tabularnewline
Winsorized Mean ( 88 / 120 ) & 76.8816944444444 & 0.436294722290048 & 176.215045739961 \tabularnewline
Winsorized Mean ( 89 / 120 ) & 76.8915833333333 & 0.434997783655332 & 176.763161152697 \tabularnewline
Winsorized Mean ( 90 / 120 ) & 76.9465833333333 & 0.428468424855271 & 179.585189642211 \tabularnewline
Winsorized Mean ( 91 / 120 ) & 76.9971388888889 & 0.424866592503677 & 181.226625598299 \tabularnewline
Winsorized Mean ( 92 / 120 ) & 77.0073611111111 & 0.422549979215991 & 182.244385040540 \tabularnewline
Winsorized Mean ( 93 / 120 ) & 77.0125277777778 & 0.418872585956862 & 183.856691413338 \tabularnewline
Winsorized Mean ( 94 / 120 ) & 77.0073055555555 & 0.416170368180146 & 185.037935046403 \tabularnewline
Winsorized Mean ( 95 / 120 ) & 76.9413333333333 & 0.41053730485223 & 187.416179781830 \tabularnewline
Winsorized Mean ( 96 / 120 ) & 76.968 & 0.407458435504251 & 188.8977949487 \tabularnewline
Winsorized Mean ( 97 / 120 ) & 76.9248888888889 & 0.404686420202919 & 190.085174714578 \tabularnewline
Winsorized Mean ( 98 / 120 ) & 76.9058333333333 & 0.398245173381078 & 193.111777552525 \tabularnewline
Winsorized Mean ( 99 / 120 ) & 76.8645833333333 & 0.388280228948572 & 197.961620506601 \tabularnewline
Winsorized Mean ( 100 / 120 ) & 76.95625 & 0.380017586594581 & 202.507075237284 \tabularnewline
Winsorized Mean ( 101 / 120 ) & 76.8833055555556 & 0.375070736817405 & 204.983481803819 \tabularnewline
Winsorized Mean ( 102 / 120 ) & 76.8918055555556 & 0.373822804363409 & 205.690516089558 \tabularnewline
Winsorized Mean ( 103 / 120 ) & 76.8832222222222 & 0.372566849611933 & 206.360878060687 \tabularnewline
Winsorized Mean ( 104 / 120 ) & 76.9034444444444 & 0.370570331020731 & 207.527257329573 \tabularnewline
Winsorized Mean ( 105 / 120 ) & 76.9034444444444 & 0.369108178566174 & 208.349337430509 \tabularnewline
Winsorized Mean ( 106 / 120 ) & 76.927 & 0.364318527496121 & 211.153137142659 \tabularnewline
Winsorized Mean ( 107 / 120 ) & 76.90025 & 0.362278640057109 & 212.268241892146 \tabularnewline
Winsorized Mean ( 108 / 120 ) & 76.82825 & 0.354455834187868 & 216.749853126355 \tabularnewline
Winsorized Mean ( 109 / 120 ) & 76.9433055555555 & 0.346549433859355 & 222.026926140593 \tabularnewline
Winsorized Mean ( 110 / 120 ) & 76.9280277777778 & 0.341830081849195 & 225.047565625649 \tabularnewline
Winsorized Mean ( 111 / 120 ) & 76.9434444444444 & 0.338600419308836 & 227.239660841249 \tabularnewline
Winsorized Mean ( 112 / 120 ) & 76.9527777777778 & 0.334200698607936 & 230.259176890752 \tabularnewline
Winsorized Mean ( 113 / 120 ) & 76.97475 & 0.329775595665591 & 233.415543817427 \tabularnewline
Winsorized Mean ( 114 / 120 ) & 76.9335833333333 & 0.326085655181052 & 235.930597102217 \tabularnewline
Winsorized Mean ( 115 / 120 ) & 76.9176111111111 & 0.324327754448249 & 237.160126002674 \tabularnewline
Winsorized Mean ( 116 / 120 ) & 76.9305 & 0.320000617914716 & 240.407348277380 \tabularnewline
Winsorized Mean ( 117 / 120 ) & 76.84275 & 0.313486202775661 & 245.123228134511 \tabularnewline
Winsorized Mean ( 118 / 120 ) & 76.8558611111111 & 0.312286658009559 & 246.10677126257 \tabularnewline
Winsorized Mean ( 119 / 120 ) & 76.8228055555555 & 0.308287796411395 & 249.191847519774 \tabularnewline
Winsorized Mean ( 120 / 120 ) & 76.7861388888889 & 0.305682842846176 & 251.195448766252 \tabularnewline
Trimmed Mean ( 1 / 120 ) & 77.3665363128492 & 0.959119157088214 & 80.6641549603971 \tabularnewline
Trimmed Mean ( 2 / 120 ) & 77.1895505617978 & 0.922845871913721 & 83.642949392761 \tabularnewline
Trimmed Mean ( 3 / 120 ) & 77.0506214689266 & 0.89564947342803 & 86.027652284572 \tabularnewline
Trimmed Mean ( 4 / 120 ) & 76.9382102272727 & 0.873850527828105 & 88.0450463519172 \tabularnewline
Trimmed Mean ( 5 / 120 ) & 76.8660857142857 & 0.859808183053018 & 89.3991092773141 \tabularnewline
Trimmed Mean ( 6 / 120 ) & 76.8120114942529 & 0.848626317557062 & 90.513350699954 \tabularnewline
Trimmed Mean ( 7 / 120 ) & 76.7606069364162 & 0.837725363493644 & 91.6297993130998 \tabularnewline
Trimmed Mean ( 8 / 120 ) & 76.7184593023256 & 0.828048959721277 & 92.6496657011068 \tabularnewline
Trimmed Mean ( 9 / 120 ) & 76.6843859649123 & 0.819608716915409 & 93.562189349954 \tabularnewline
Trimmed Mean ( 10 / 120 ) & 76.6495588235294 & 0.811047446016324 & 94.5068740429603 \tabularnewline
Trimmed Mean ( 11 / 120 ) & 76.6205029585799 & 0.803134488558204 & 95.4018337528125 \tabularnewline
Trimmed Mean ( 12 / 120 ) & 76.596875 & 0.795790452999308 & 96.2525683882094 \tabularnewline
Trimmed Mean ( 13 / 120 ) & 76.596875 & 0.78874206681106 & 97.1127041691671 \tabularnewline
Trimmed Mean ( 14 / 120 ) & 76.5547590361446 & 0.781544424043551 & 97.9531766602158 \tabularnewline
Trimmed Mean ( 15 / 120 ) & 76.5351818181818 & 0.774464146005729 & 98.8234022361258 \tabularnewline
Trimmed Mean ( 16 / 120 ) & 76.5173170731707 & 0.767492480974379 & 99.6978067798492 \tabularnewline
Trimmed Mean ( 17 / 120 ) & 76.501472392638 & 0.760616892112443 & 100.578192761631 \tabularnewline
Trimmed Mean ( 18 / 120 ) & 76.4847222222222 & 0.753617633463439 & 101.490091030272 \tabularnewline
Trimmed Mean ( 19 / 120 ) & 76.4727329192547 & 0.747060309484031 & 102.364871949993 \tabularnewline
Trimmed Mean ( 20 / 120 ) & 76.461 & 0.740433440532594 & 103.265190109460 \tabularnewline
Trimmed Mean ( 21 / 120 ) & 76.4507547169811 & 0.733834035941838 & 104.179897596138 \tabularnewline
Trimmed Mean ( 22 / 120 ) & 76.4402848101266 & 0.727017028713808 & 105.14235814443 \tabularnewline
Trimmed Mean ( 23 / 120 ) & 76.4323885350318 & 0.72042553649169 & 106.093391563048 \tabularnewline
Trimmed Mean ( 24 / 120 ) & 76.4249358974359 & 0.714093804227907 & 107.023664741172 \tabularnewline
Trimmed Mean ( 25 / 120 ) & 76.417935483871 & 0.707580161186524 & 107.998979727933 \tabularnewline
Trimmed Mean ( 26 / 120 ) & 76.417935483871 & 0.700960352376692 & 109.018912731322 \tabularnewline
Trimmed Mean ( 27 / 120 ) & 76.4064705882353 & 0.694191700535534 & 110.065376075933 \tabularnewline
Trimmed Mean ( 28 / 120 ) & 76.4044407894737 & 0.687963469128034 & 111.058863178176 \tabularnewline
Trimmed Mean ( 29 / 120 ) & 76.4037086092715 & 0.68169979760143 & 112.078232791177 \tabularnewline
Trimmed Mean ( 30 / 120 ) & 76.4027666666667 & 0.675474890577047 & 113.109706567178 \tabularnewline
Trimmed Mean ( 31 / 120 ) & 76.3991610738255 & 0.669342414247238 & 114.140624361518 \tabularnewline
Trimmed Mean ( 32 / 120 ) & 76.3950337837838 & 0.663297254494715 & 115.174657012533 \tabularnewline
Trimmed Mean ( 33 / 120 ) & 76.3938775510204 & 0.658051260744696 & 116.091073915074 \tabularnewline
Trimmed Mean ( 34 / 120 ) & 76.3936643835616 & 0.652712987442241 & 117.040208871777 \tabularnewline
Trimmed Mean ( 35 / 120 ) & 76.3928620689655 & 0.647316643495638 & 118.014673091717 \tabularnewline
Trimmed Mean ( 36 / 120 ) & 76.3936111111111 & 0.641947387615581 & 119.00291610324 \tabularnewline
Trimmed Mean ( 37 / 120 ) & 76.3945454545455 & 0.636378472056591 & 120.045772773646 \tabularnewline
Trimmed Mean ( 38 / 120 ) & 76.398838028169 & 0.63102184164364 & 121.071622226532 \tabularnewline
Trimmed Mean ( 39 / 120 ) & 76.4031560283688 & 0.625652380462062 & 122.117582245820 \tabularnewline
Trimmed Mean ( 40 / 120 ) & 76.4092857142857 & 0.620425052681766 & 123.156351253079 \tabularnewline
Trimmed Mean ( 41 / 120 ) & 76.4172302158273 & 0.615257601163317 & 124.203634496086 \tabularnewline
Trimmed Mean ( 42 / 120 ) & 76.4254347826087 & 0.610298424246716 & 125.226334767191 \tabularnewline
Trimmed Mean ( 43 / 120 ) & 76.435 & 0.605646172752605 & 126.204050217324 \tabularnewline
Trimmed Mean ( 44 / 120 ) & 76.444080882353 & 0.60100416308521 & 127.193929056885 \tabularnewline
Trimmed Mean ( 45 / 120 ) & 76.4548148148148 & 0.596465745591069 & 128.179724284169 \tabularnewline
Trimmed Mean ( 46 / 120 ) & 76.4657089552239 & 0.592006914092867 & 129.163540382619 \tabularnewline
Trimmed Mean ( 47 / 120 ) & 76.4765789473684 & 0.587396063275608 & 130.195933763835 \tabularnewline
Trimmed Mean ( 48 / 120 ) & 76.4872348484848 & 0.582641658817966 & 131.276632370672 \tabularnewline
Trimmed Mean ( 49 / 120 ) & 76.4872348484848 & 0.577819035516275 & 132.372300230892 \tabularnewline
Trimmed Mean ( 50 / 120 ) & 76.5120384615385 & 0.572996658861515 & 133.529641540249 \tabularnewline
Trimmed Mean ( 51 / 120 ) & 76.5266666666667 & 0.568130496392898 & 134.699100211202 \tabularnewline
Trimmed Mean ( 52 / 120 ) & 76.5266666666667 & 0.563249841386019 & 135.866290664820 \tabularnewline
Trimmed Mean ( 53 / 120 ) & 76.5535039370079 & 0.558469004047475 & 137.077444553217 \tabularnewline
Trimmed Mean ( 54 / 120 ) & 76.5649603174603 & 0.553675597237758 & 138.284874210524 \tabularnewline
Trimmed Mean ( 55 / 120 ) & 76.57944 & 0.549651039667196 & 139.323742653826 \tabularnewline
Trimmed Mean ( 56 / 120 ) & 76.5945967741935 & 0.545476102016566 & 140.417878053744 \tabularnewline
Trimmed Mean ( 57 / 120 ) & 76.6085365853659 & 0.541390026073028 & 141.503413243583 \tabularnewline
Trimmed Mean ( 58 / 120 ) & 76.6220081967213 & 0.537226586254322 & 142.625123471549 \tabularnewline
Trimmed Mean ( 59 / 120 ) & 76.6351652892562 & 0.532927234481041 & 143.800429647553 \tabularnewline
Trimmed Mean ( 60 / 120 ) & 76.6485833333333 & 0.528455753336589 & 145.042575181339 \tabularnewline
Trimmed Mean ( 61 / 120 ) & 76.6651260504202 & 0.524144706552887 & 146.26709969966 \tabularnewline
Trimmed Mean ( 62 / 120 ) & 76.6814830508475 & 0.519709813565343 & 147.546729057881 \tabularnewline
Trimmed Mean ( 63 / 120 ) & 76.6814830508475 & 0.515273513072799 & 148.817047850107 \tabularnewline
Trimmed Mean ( 64 / 120 ) & 76.7150862068966 & 0.510683321454534 & 150.220465372544 \tabularnewline
Trimmed Mean ( 65 / 120 ) & 76.7323043478261 & 0.505977354181655 & 151.651657359111 \tabularnewline
Trimmed Mean ( 66 / 120 ) & 76.7448245614035 & 0.501774394090386 & 152.946873067379 \tabularnewline
Trimmed Mean ( 67 / 120 ) & 76.7583185840708 & 0.497596819829531 & 154.258056975458 \tabularnewline
Trimmed Mean ( 68 / 120 ) & 76.77125 & 0.493331456415312 & 155.617990707185 \tabularnewline
Trimmed Mean ( 69 / 120 ) & 76.785 & 0.489237379276313 & 156.948351153343 \tabularnewline
Trimmed Mean ( 70 / 120 ) & 76.7969545454545 & 0.485214443772572 & 158.274254880695 \tabularnewline
Trimmed Mean ( 71 / 120 ) & 76.8076146788991 & 0.481343192278728 & 159.569338282908 \tabularnewline
Trimmed Mean ( 72 / 120 ) & 76.8187962962963 & 0.477290445087174 & 160.947693562702 \tabularnewline
Trimmed Mean ( 73 / 120 ) & 76.8304672897196 & 0.473064351801941 & 162.410181610739 \tabularnewline
Trimmed Mean ( 74 / 120 ) & 76.8416981132075 & 0.469115664878895 & 163.801177121307 \tabularnewline
Trimmed Mean ( 75 / 120 ) & 76.8555238095238 & 0.465263001259857 & 165.187267419527 \tabularnewline
Trimmed Mean ( 76 / 120 ) & 76.868798076923 & 0.461304009171525 & 166.633709112945 \tabularnewline
Trimmed Mean ( 77 / 120 ) & 76.8794660194175 & 0.457614443560102 & 168.000523369233 \tabularnewline
Trimmed Mean ( 78 / 120 ) & 76.89 & 0.454003356396236 & 169.359981411445 \tabularnewline
Trimmed Mean ( 79 / 120 ) & 76.895198019802 & 0.451125953511553 & 170.451727330808 \tabularnewline
Trimmed Mean ( 80 / 120 ) & 76.9011 & 0.448140915730486 & 171.600265230521 \tabularnewline
Trimmed Mean ( 81 / 120 ) & 76.9069696969697 & 0.445093310110218 & 172.788419753883 \tabularnewline
Trimmed Mean ( 82 / 120 ) & 76.9109693877551 & 0.442138324694538 & 173.952279393312 \tabularnewline
Trimmed Mean ( 83 / 120 ) & 76.9157731958763 & 0.43920576294788 & 175.124690258228 \tabularnewline
Trimmed Mean ( 84 / 120 ) & 76.91828125 & 0.436556647278521 & 176.193128038494 \tabularnewline
Trimmed Mean ( 85 / 120 ) & 76.9208421052632 & 0.433866347377724 & 177.291561261136 \tabularnewline
Trimmed Mean ( 86 / 120 ) & 76.9234042553192 & 0.431041902843514 & 178.459225768696 \tabularnewline
Trimmed Mean ( 87 / 120 ) & 76.9249462365591 & 0.428270857099177 & 179.617512986052 \tabularnewline
Trimmed Mean ( 88 / 120 ) & 76.9263586956522 & 0.425329434335582 & 180.863002852885 \tabularnewline
Trimmed Mean ( 89 / 120 ) & 76.9273626373626 & 0.422526498911457 & 182.065178954571 \tabularnewline
Trimmed Mean ( 90 / 120 ) & 76.9281666666667 & 0.419585215914513 & 183.343368042644 \tabularnewline
Trimmed Mean ( 91 / 120 ) & 76.9277528089888 & 0.416742555183588 & 184.592986370446 \tabularnewline
Trimmed Mean ( 92 / 120 ) & 76.9261931818182 & 0.413863964939035 & 185.873136341189 \tabularnewline
Trimmed Mean ( 93 / 120 ) & 76.924367816092 & 0.410885318649921 & 187.216150893024 \tabularnewline
Trimmed Mean ( 94 / 120 ) & 76.9223837209302 & 0.407865535362539 & 188.597410302286 \tabularnewline
Trimmed Mean ( 95 / 120 ) & 76.9204705882353 & 0.404753643702255 & 190.042688398426 \tabularnewline
Trimmed Mean ( 96 / 120 ) & 76.92 & 0.401689607680064 & 191.491137757452 \tabularnewline
Trimmed Mean ( 97 / 120 ) & 76.9189156626506 & 0.398546208277207 & 192.998739080087 \tabularnewline
Trimmed Mean ( 98 / 120 ) & 76.9189156626506 & 0.395302449383711 & 194.582441324534 \tabularnewline
Trimmed Mean ( 99 / 120 ) & 76.919074074074 & 0.392139503391394 & 196.152321836602 \tabularnewline
Trimmed Mean ( 100 / 120 ) & 76.9203125 & 0.389242455098642 & 197.615423221259 \tabularnewline
Trimmed Mean ( 101 / 120 ) & 76.919493670886 & 0.386538061466049 & 198.995910982603 \tabularnewline
Trimmed Mean ( 102 / 120 ) & 76.9203205128205 & 0.383865298738306 & 200.383626146055 \tabularnewline
Trimmed Mean ( 103 / 120 ) & 76.920974025974 & 0.381031560695428 & 201.875597616072 \tabularnewline
Trimmed Mean ( 104 / 120 ) & 76.920974025974 & 0.378023957465234 & 203.481743701517 \tabularnewline
Trimmed Mean ( 105 / 120 ) & 76.9222666666667 & 0.374869166100343 & 205.197635929535 \tabularnewline
Trimmed Mean ( 106 / 120 ) & 76.9227027027027 & 0.371524707816399 & 207.045994746375 \tabularnewline
Trimmed Mean ( 107 / 120 ) & 76.922602739726 & 0.368164901835762 & 208.935187347220 \tabularnewline
Trimmed Mean ( 108 / 120 ) & 76.923125 & 0.364628440016867 & 210.963042258694 \tabularnewline
Trimmed Mean ( 109 / 120 ) & 76.923125 & 0.361240021082387 & 212.941868316568 \tabularnewline
Trimmed Mean ( 110 / 120 ) & 76.9249285714286 & 0.358018563546746 & 214.862960762046 \tabularnewline
Trimmed Mean ( 111 / 120 ) & 76.9248550724638 & 0.354783264945283 & 216.822107109048 \tabularnewline
Trimmed Mean ( 112 / 120 ) & 76.9244117647059 & 0.35144178239492 & 218.882374316737 \tabularnewline
Trimmed Mean ( 113 / 120 ) & 76.9237313432836 & 0.348057592773596 & 221.008628860227 \tabularnewline
Trimmed Mean ( 114 / 120 ) & 76.9225 & 0.344628192356518 & 223.204316147251 \tabularnewline
Trimmed Mean ( 115 / 120 ) & 76.9225 & 0.341103356602257 & 225.510826883171 \tabularnewline
Trimmed Mean ( 116 / 120 ) & 76.92234375 & 0.337345774115623 & 228.022253877813 \tabularnewline
Trimmed Mean ( 117 / 120 ) & 76.9221428571429 & 0.333507356614663 & 230.646015242235 \tabularnewline
Trimmed Mean ( 118 / 120 ) & 76.9241129032258 & 0.32973001958112 & 233.294235693032 \tabularnewline
Trimmed Mean ( 119 / 120 ) & 76.9258196721311 & 0.32564714347501 & 236.224457095643 \tabularnewline
Trimmed Mean ( 120 / 120 ) & 76.9284166666667 & 0.321428272551474 & 239.333074393284 \tabularnewline
Median & 76.775 &  &  \tabularnewline
Midrange & 108.26 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 76.8713259668508 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 76.9281666666666 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 76.8713259668508 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 76.9281666666666 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 76.9281666666666 &  &  \tabularnewline
Midmean - Closest Observation & 76.8713259668508 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 76.9281666666666 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 76.9273626373626 &  &  \tabularnewline
Number of observations & 360 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=48235&T=1

[TABLE]
[ROW][C]Central Tendency - Ungrouped Data[/C][/ROW]
[ROW][C]Measure[/C][C]Value[/C][C]S.E.[/C][C]Value/S.E.[/C][/ROW]
[ROW][C]Arithmetic Mean[/C][C]77.5381666666667[/C][C]0.993560981023033[/C][C]78.0406720348745[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]75.4064875707584[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]73.3492143886423[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]79.7907197541725[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 120 )[/C][C]77.5415555555555[/C][C]0.99319454144667[/C][C]78.072877286065[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 120 )[/C][C]77.4627777777778[/C][C]0.973042432546294[/C][C]79.6088384091023[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 120 )[/C][C]77.3803611111111[/C][C]0.955044856652947[/C][C]81.0227504729972[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 120 )[/C][C]77.2186944444444[/C][C]0.924609648060975[/C][C]83.5149131380815[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 120 )[/C][C]77.1274444444444[/C][C]0.909725896869446[/C][C]84.7809705207424[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 120 )[/C][C]77.1084444444445[/C][C]0.905989502540267[/C][C]85.1096444586204[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 120 )[/C][C]77.0425277777778[/C][C]0.896283439210147[/C][C]85.9577722931841[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 120 )[/C][C]76.9774166666667[/C][C]0.88561668803013[/C][C]86.9195643070897[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 120 )[/C][C]76.9804166666667[/C][C]0.884119772360002[/C][C]87.0701222541161[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 120 )[/C][C]76.9223611111111[/C][C]0.876301225032592[/C][C]87.780729860614[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 120 )[/C][C]76.8630833333333[/C][C]0.868738956463745[/C][C]88.4766163200615[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 120 )[/C][C]76.8340833333333[/C][C]0.863359864768634[/C][C]88.994272804103[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 120 )[/C][C]76.8250555555556[/C][C]0.86218105581302[/C][C]89.1054785274898[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 120 )[/C][C]76.806[/C][C]0.858033680555072[/C][C]89.513968671152[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 120 )[/C][C]76.7793333333333[/C][C]0.853804611040914[/C][C]89.926116983285[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 120 )[/C][C]76.7468888888889[/C][C]0.849553612808801[/C][C]90.3378994942387[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 120 )[/C][C]76.75775[/C][C]0.847797381369426[/C][C]90.5378474701292[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 120 )[/C][C]76.67775[/C][C]0.83873642120631[/C][C]91.4205560427654[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 120 )[/C][C]76.6708888888889[/C][C]0.83627207138107[/C][C]91.6817522822087[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 120 )[/C][C]76.642[/C][C]0.832342300033991[/C][C]92.0799051025883[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 120 )[/C][C]76.64375[/C][C]0.831729941405852[/C][C]92.1498026997213[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 120 )[/C][C]76.5918055555556[/C][C]0.824516820731613[/C][C]92.892956977632[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 120 )[/C][C]76.5809444444444[/C][C]0.816656487529123[/C][C]93.77375385353[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 120 )[/C][C]76.5696111111111[/C][C]0.81555133105194[/C][C]93.8869304674516[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 120 )[/C][C]76.5494722222222[/C][C]0.813077536566036[/C][C]94.1478134367387[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 120 )[/C][C]76.52925[/C][C]0.811131884598025[/C][C]94.348713758091[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 120 )[/C][C]76.45275[/C][C]0.79766859864512[/C][C]95.8452546958208[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 120 )[/C][C]76.4216388888889[/C][C]0.793949437803454[/C][C]96.2550450319828[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 120 )[/C][C]76.4264722222222[/C][C]0.78882457943024[/C][C]96.8865248562923[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 120 )[/C][C]76.4923055555556[/C][C]0.782650864255735[/C][C]97.7349020476663[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 120 )[/C][C]76.5043611111111[/C][C]0.77650787831817[/C][C]98.5236122482249[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 120 )[/C][C]76.42525[/C][C]0.757250506810145[/C][C]100.924660086310[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 120 )[/C][C]76.3995833333333[/C][C]0.754857678510186[/C][C]101.210579832901[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 120 )[/C][C]76.4156388888889[/C][C]0.75167843477487[/C][C]101.660012252148[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 120 )[/C][C]76.3718888888889[/C][C]0.746746624268885[/C][C]102.272827766261[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 120 )[/C][C]76.3668888888889[/C][C]0.746148739300877[/C][C]102.348077355787[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 120 )[/C][C]76.26925[/C][C]0.737239165366731[/C][C]103.452520678362[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 120 )[/C][C]76.2703055555556[/C][C]0.73286586279089[/C][C]104.071303396646[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 120 )[/C][C]76.2172222222222[/C][C]0.725254082107508[/C][C]105.090373294754[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 120 )[/C][C]76.1638888888889[/C][C]0.719305581529136[/C][C]105.885302220199[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 120 )[/C][C]76.1593333333333[/C][C]0.710294828738455[/C][C]107.222142484972[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 120 )[/C][C]76.1196666666666[/C][C]0.69920593507719[/C][C]108.865876057335[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 120 )[/C][C]76.1399722222222[/C][C]0.694585948750852[/C][C]109.619223307285[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 120 )[/C][C]76.0898611111111[/C][C]0.687817299633067[/C][C]110.625105172119[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 120 )[/C][C]76.0898611111111[/C][C]0.681634744260152[/C][C]111.628495688991[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 120 )[/C][C]76.09625[/C][C]0.680489556952096[/C][C]111.825742544579[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 120 )[/C][C]76.1093055555556[/C][C]0.678982503620495[/C][C]112.093176406937[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 120 )[/C][C]76.0866388888889[/C][C]0.675599264192376[/C][C]112.620961746967[/C][/ROW]
[ROW][C]Winsorized Mean ( 49 / 120 )[/C][C]76.02675[/C][C]0.67052950118423[/C][C]113.383154455886[/C][/ROW]
[ROW][C]Winsorized Mean ( 50 / 120 )[/C][C]75.9878611111111[/C][C]0.666386411920811[/C][C]114.029727725212[/C][/ROW]
[ROW][C]Winsorized Mean ( 51 / 120 )[/C][C]76.0076944444444[/C][C]0.661630003652437[/C][C]114.879455322241[/C][/ROW]
[ROW][C]Winsorized Mean ( 52 / 120 )[/C][C]76.0813611111111[/C][C]0.654403588220279[/C][C]116.260611158968[/C][/ROW]
[ROW][C]Winsorized Mean ( 53 / 120 )[/C][C]76.1284722222222[/C][C]0.64963361730725[/C][C]117.186780662271[/C][/ROW]
[ROW][C]Winsorized Mean ( 54 / 120 )[/C][C]76.0219722222222[/C][C]0.62691939195975[/C][C]121.26275434642[/C][/ROW]
[ROW][C]Winsorized Mean ( 55 / 120 )[/C][C]76.0051666666667[/C][C]0.625748110543662[/C][C]121.462878410663[/C][/ROW]
[ROW][C]Winsorized Mean ( 56 / 120 )[/C][C]76.0611666666667[/C][C]0.619123056382654[/C][C]122.853067548588[/C][/ROW]
[ROW][C]Winsorized Mean ( 57 / 120 )[/C][C]76.0880833333333[/C][C]0.616256688088322[/C][C]123.46816643786[/C][/ROW]
[ROW][C]Winsorized Mean ( 58 / 120 )[/C][C]76.1090277777778[/C][C]0.614586949281793[/C][C]123.837689470495[/C][/ROW]
[ROW][C]Winsorized Mean ( 59 / 120 )[/C][C]76.1073888888889[/C][C]0.613493788213614[/C][C]124.055679700523[/C][/ROW]
[ROW][C]Winsorized Mean ( 60 / 120 )[/C][C]75.9923888888889[/C][C]0.604343645807638[/C][C]125.743671528694[/C][/ROW]
[ROW][C]Winsorized Mean ( 61 / 120 )[/C][C]76.0110277777778[/C][C]0.602104334417477[/C][C]126.242286316236[/C][/ROW]
[ROW][C]Winsorized Mean ( 62 / 120 )[/C][C]76.0006944444444[/C][C]0.596838805138381[/C][C]127.338728296702[/C][/ROW]
[ROW][C]Winsorized Mean ( 63 / 120 )[/C][C]76.0199444444444[/C][C]0.595053027755498[/C][C]127.753226853054[/C][/ROW]
[ROW][C]Winsorized Mean ( 64 / 120 )[/C][C]76.0110555555556[/C][C]0.592108264976506[/C][C]128.373576340083[/C][/ROW]
[ROW][C]Winsorized Mean ( 65 / 120 )[/C][C]76.2168888888889[/C][C]0.575772991889226[/C][C]132.373157411927[/C][/ROW]
[ROW][C]Winsorized Mean ( 66 / 120 )[/C][C]76.1857222222222[/C][C]0.569949114645801[/C][C]133.671094953044[/C][/ROW]
[ROW][C]Winsorized Mean ( 67 / 120 )[/C][C]76.2192222222222[/C][C]0.566844583887636[/C][C]134.462292467332[/C][/ROW]
[ROW][C]Winsorized Mean ( 68 / 120 )[/C][C]76.1946666666667[/C][C]0.55760913523203[/C][C]136.645298386227[/C][/ROW]
[ROW][C]Winsorized Mean ( 69 / 120 )[/C][C]76.2809166666667[/C][C]0.551076628342768[/C][C]138.421614605692[/C][/ROW]
[ROW][C]Winsorized Mean ( 70 / 120 )[/C][C]76.3450833333333[/C][C]0.542686868673236[/C][C]140.679805870340[/C][/ROW]
[ROW][C]Winsorized Mean ( 71 / 120 )[/C][C]76.3312777777778[/C][C]0.541761563091016[/C][C]140.894598247743[/C][/ROW]
[ROW][C]Winsorized Mean ( 72 / 120 )[/C][C]76.3192777777778[/C][C]0.540394145651254[/C][C]141.228912992390[/C][/ROW]
[ROW][C]Winsorized Mean ( 73 / 120 )[/C][C]76.3476666666667[/C][C]0.528876227256766[/C][C]144.358287878953[/C][/ROW]
[ROW][C]Winsorized Mean ( 74 / 120 )[/C][C]76.2448888888889[/C][C]0.521265827083413[/C][C]146.268726871075[/C][/ROW]
[ROW][C]Winsorized Mean ( 75 / 120 )[/C][C]76.2803055555556[/C][C]0.518646047195635[/C][C]147.075844823285[/C][/ROW]
[ROW][C]Winsorized Mean ( 76 / 120 )[/C][C]76.4048611111111[/C][C]0.507780550872865[/C][C]150.468270160747[/C][/ROW]
[ROW][C]Winsorized Mean ( 77 / 120 )[/C][C]76.4198333333333[/C][C]0.501102533954626[/C][C]152.503386343389[/C][/ROW]
[ROW][C]Winsorized Mean ( 78 / 120 )[/C][C]76.6625[/C][C]0.480084930956597[/C][C]159.685287032954[/C][/ROW]
[ROW][C]Winsorized Mean ( 79 / 120 )[/C][C]76.6361666666667[/C][C]0.478352125567853[/C][C]160.208688475444[/C][/ROW]
[ROW][C]Winsorized Mean ( 80 / 120 )[/C][C]76.6428333333333[/C][C]0.475489264953848[/C][C]161.187305334375[/C][/ROW]
[ROW][C]Winsorized Mean ( 81 / 120 )[/C][C]76.7305833333333[/C][C]0.46914369613728[/C][C]163.554544087662[/C][/ROW]
[ROW][C]Winsorized Mean ( 82 / 120 )[/C][C]76.6986944444444[/C][C]0.464305286086242[/C][C]165.190224498539[/C][/ROW]
[ROW][C]Winsorized Mean ( 83 / 120 )[/C][C]76.80475[/C][C]0.453740460255789[/C][C]169.270225442762[/C][/ROW]
[ROW][C]Winsorized Mean ( 84 / 120 )[/C][C]76.80475[/C][C]0.45064876011655[/C][C]170.431512959530[/C][/ROW]
[ROW][C]Winsorized Mean ( 85 / 120 )[/C][C]76.8071111111111[/C][C]0.449553717933252[/C][C]170.851909454156[/C][/ROW]
[ROW][C]Winsorized Mean ( 86 / 120 )[/C][C]76.8548888888889[/C][C]0.444164428541761[/C][C]173.032516676790[/C][/ROW]
[ROW][C]Winsorized Mean ( 87 / 120 )[/C][C]76.8621388888889[/C][C]0.443683873439305[/C][C]173.236269087440[/C][/ROW]
[ROW][C]Winsorized Mean ( 88 / 120 )[/C][C]76.8816944444444[/C][C]0.436294722290048[/C][C]176.215045739961[/C][/ROW]
[ROW][C]Winsorized Mean ( 89 / 120 )[/C][C]76.8915833333333[/C][C]0.434997783655332[/C][C]176.763161152697[/C][/ROW]
[ROW][C]Winsorized Mean ( 90 / 120 )[/C][C]76.9465833333333[/C][C]0.428468424855271[/C][C]179.585189642211[/C][/ROW]
[ROW][C]Winsorized Mean ( 91 / 120 )[/C][C]76.9971388888889[/C][C]0.424866592503677[/C][C]181.226625598299[/C][/ROW]
[ROW][C]Winsorized Mean ( 92 / 120 )[/C][C]77.0073611111111[/C][C]0.422549979215991[/C][C]182.244385040540[/C][/ROW]
[ROW][C]Winsorized Mean ( 93 / 120 )[/C][C]77.0125277777778[/C][C]0.418872585956862[/C][C]183.856691413338[/C][/ROW]
[ROW][C]Winsorized Mean ( 94 / 120 )[/C][C]77.0073055555555[/C][C]0.416170368180146[/C][C]185.037935046403[/C][/ROW]
[ROW][C]Winsorized Mean ( 95 / 120 )[/C][C]76.9413333333333[/C][C]0.41053730485223[/C][C]187.416179781830[/C][/ROW]
[ROW][C]Winsorized Mean ( 96 / 120 )[/C][C]76.968[/C][C]0.407458435504251[/C][C]188.8977949487[/C][/ROW]
[ROW][C]Winsorized Mean ( 97 / 120 )[/C][C]76.9248888888889[/C][C]0.404686420202919[/C][C]190.085174714578[/C][/ROW]
[ROW][C]Winsorized Mean ( 98 / 120 )[/C][C]76.9058333333333[/C][C]0.398245173381078[/C][C]193.111777552525[/C][/ROW]
[ROW][C]Winsorized Mean ( 99 / 120 )[/C][C]76.8645833333333[/C][C]0.388280228948572[/C][C]197.961620506601[/C][/ROW]
[ROW][C]Winsorized Mean ( 100 / 120 )[/C][C]76.95625[/C][C]0.380017586594581[/C][C]202.507075237284[/C][/ROW]
[ROW][C]Winsorized Mean ( 101 / 120 )[/C][C]76.8833055555556[/C][C]0.375070736817405[/C][C]204.983481803819[/C][/ROW]
[ROW][C]Winsorized Mean ( 102 / 120 )[/C][C]76.8918055555556[/C][C]0.373822804363409[/C][C]205.690516089558[/C][/ROW]
[ROW][C]Winsorized Mean ( 103 / 120 )[/C][C]76.8832222222222[/C][C]0.372566849611933[/C][C]206.360878060687[/C][/ROW]
[ROW][C]Winsorized Mean ( 104 / 120 )[/C][C]76.9034444444444[/C][C]0.370570331020731[/C][C]207.527257329573[/C][/ROW]
[ROW][C]Winsorized Mean ( 105 / 120 )[/C][C]76.9034444444444[/C][C]0.369108178566174[/C][C]208.349337430509[/C][/ROW]
[ROW][C]Winsorized Mean ( 106 / 120 )[/C][C]76.927[/C][C]0.364318527496121[/C][C]211.153137142659[/C][/ROW]
[ROW][C]Winsorized Mean ( 107 / 120 )[/C][C]76.90025[/C][C]0.362278640057109[/C][C]212.268241892146[/C][/ROW]
[ROW][C]Winsorized Mean ( 108 / 120 )[/C][C]76.82825[/C][C]0.354455834187868[/C][C]216.749853126355[/C][/ROW]
[ROW][C]Winsorized Mean ( 109 / 120 )[/C][C]76.9433055555555[/C][C]0.346549433859355[/C][C]222.026926140593[/C][/ROW]
[ROW][C]Winsorized Mean ( 110 / 120 )[/C][C]76.9280277777778[/C][C]0.341830081849195[/C][C]225.047565625649[/C][/ROW]
[ROW][C]Winsorized Mean ( 111 / 120 )[/C][C]76.9434444444444[/C][C]0.338600419308836[/C][C]227.239660841249[/C][/ROW]
[ROW][C]Winsorized Mean ( 112 / 120 )[/C][C]76.9527777777778[/C][C]0.334200698607936[/C][C]230.259176890752[/C][/ROW]
[ROW][C]Winsorized Mean ( 113 / 120 )[/C][C]76.97475[/C][C]0.329775595665591[/C][C]233.415543817427[/C][/ROW]
[ROW][C]Winsorized Mean ( 114 / 120 )[/C][C]76.9335833333333[/C][C]0.326085655181052[/C][C]235.930597102217[/C][/ROW]
[ROW][C]Winsorized Mean ( 115 / 120 )[/C][C]76.9176111111111[/C][C]0.324327754448249[/C][C]237.160126002674[/C][/ROW]
[ROW][C]Winsorized Mean ( 116 / 120 )[/C][C]76.9305[/C][C]0.320000617914716[/C][C]240.407348277380[/C][/ROW]
[ROW][C]Winsorized Mean ( 117 / 120 )[/C][C]76.84275[/C][C]0.313486202775661[/C][C]245.123228134511[/C][/ROW]
[ROW][C]Winsorized Mean ( 118 / 120 )[/C][C]76.8558611111111[/C][C]0.312286658009559[/C][C]246.10677126257[/C][/ROW]
[ROW][C]Winsorized Mean ( 119 / 120 )[/C][C]76.8228055555555[/C][C]0.308287796411395[/C][C]249.191847519774[/C][/ROW]
[ROW][C]Winsorized Mean ( 120 / 120 )[/C][C]76.7861388888889[/C][C]0.305682842846176[/C][C]251.195448766252[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 120 )[/C][C]77.3665363128492[/C][C]0.959119157088214[/C][C]80.6641549603971[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 120 )[/C][C]77.1895505617978[/C][C]0.922845871913721[/C][C]83.642949392761[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 120 )[/C][C]77.0506214689266[/C][C]0.89564947342803[/C][C]86.027652284572[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 120 )[/C][C]76.9382102272727[/C][C]0.873850527828105[/C][C]88.0450463519172[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 120 )[/C][C]76.8660857142857[/C][C]0.859808183053018[/C][C]89.3991092773141[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 120 )[/C][C]76.8120114942529[/C][C]0.848626317557062[/C][C]90.513350699954[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 120 )[/C][C]76.7606069364162[/C][C]0.837725363493644[/C][C]91.6297993130998[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 120 )[/C][C]76.7184593023256[/C][C]0.828048959721277[/C][C]92.6496657011068[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 120 )[/C][C]76.6843859649123[/C][C]0.819608716915409[/C][C]93.562189349954[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 120 )[/C][C]76.6495588235294[/C][C]0.811047446016324[/C][C]94.5068740429603[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 120 )[/C][C]76.6205029585799[/C][C]0.803134488558204[/C][C]95.4018337528125[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 120 )[/C][C]76.596875[/C][C]0.795790452999308[/C][C]96.2525683882094[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 120 )[/C][C]76.596875[/C][C]0.78874206681106[/C][C]97.1127041691671[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 120 )[/C][C]76.5547590361446[/C][C]0.781544424043551[/C][C]97.9531766602158[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 120 )[/C][C]76.5351818181818[/C][C]0.774464146005729[/C][C]98.8234022361258[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 120 )[/C][C]76.5173170731707[/C][C]0.767492480974379[/C][C]99.6978067798492[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 120 )[/C][C]76.501472392638[/C][C]0.760616892112443[/C][C]100.578192761631[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 120 )[/C][C]76.4847222222222[/C][C]0.753617633463439[/C][C]101.490091030272[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 120 )[/C][C]76.4727329192547[/C][C]0.747060309484031[/C][C]102.364871949993[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 120 )[/C][C]76.461[/C][C]0.740433440532594[/C][C]103.265190109460[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 120 )[/C][C]76.4507547169811[/C][C]0.733834035941838[/C][C]104.179897596138[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 120 )[/C][C]76.4402848101266[/C][C]0.727017028713808[/C][C]105.14235814443[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 120 )[/C][C]76.4323885350318[/C][C]0.72042553649169[/C][C]106.093391563048[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 120 )[/C][C]76.4249358974359[/C][C]0.714093804227907[/C][C]107.023664741172[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 120 )[/C][C]76.417935483871[/C][C]0.707580161186524[/C][C]107.998979727933[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 120 )[/C][C]76.417935483871[/C][C]0.700960352376692[/C][C]109.018912731322[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 120 )[/C][C]76.4064705882353[/C][C]0.694191700535534[/C][C]110.065376075933[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 120 )[/C][C]76.4044407894737[/C][C]0.687963469128034[/C][C]111.058863178176[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 120 )[/C][C]76.4037086092715[/C][C]0.68169979760143[/C][C]112.078232791177[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 120 )[/C][C]76.4027666666667[/C][C]0.675474890577047[/C][C]113.109706567178[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 120 )[/C][C]76.3991610738255[/C][C]0.669342414247238[/C][C]114.140624361518[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 120 )[/C][C]76.3950337837838[/C][C]0.663297254494715[/C][C]115.174657012533[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 120 )[/C][C]76.3938775510204[/C][C]0.658051260744696[/C][C]116.091073915074[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 120 )[/C][C]76.3936643835616[/C][C]0.652712987442241[/C][C]117.040208871777[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 120 )[/C][C]76.3928620689655[/C][C]0.647316643495638[/C][C]118.014673091717[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 120 )[/C][C]76.3936111111111[/C][C]0.641947387615581[/C][C]119.00291610324[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 120 )[/C][C]76.3945454545455[/C][C]0.636378472056591[/C][C]120.045772773646[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 120 )[/C][C]76.398838028169[/C][C]0.63102184164364[/C][C]121.071622226532[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 120 )[/C][C]76.4031560283688[/C][C]0.625652380462062[/C][C]122.117582245820[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 120 )[/C][C]76.4092857142857[/C][C]0.620425052681766[/C][C]123.156351253079[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 120 )[/C][C]76.4172302158273[/C][C]0.615257601163317[/C][C]124.203634496086[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 120 )[/C][C]76.4254347826087[/C][C]0.610298424246716[/C][C]125.226334767191[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 120 )[/C][C]76.435[/C][C]0.605646172752605[/C][C]126.204050217324[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 120 )[/C][C]76.444080882353[/C][C]0.60100416308521[/C][C]127.193929056885[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 120 )[/C][C]76.4548148148148[/C][C]0.596465745591069[/C][C]128.179724284169[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 120 )[/C][C]76.4657089552239[/C][C]0.592006914092867[/C][C]129.163540382619[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 120 )[/C][C]76.4765789473684[/C][C]0.587396063275608[/C][C]130.195933763835[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 120 )[/C][C]76.4872348484848[/C][C]0.582641658817966[/C][C]131.276632370672[/C][/ROW]
[ROW][C]Trimmed Mean ( 49 / 120 )[/C][C]76.4872348484848[/C][C]0.577819035516275[/C][C]132.372300230892[/C][/ROW]
[ROW][C]Trimmed Mean ( 50 / 120 )[/C][C]76.5120384615385[/C][C]0.572996658861515[/C][C]133.529641540249[/C][/ROW]
[ROW][C]Trimmed Mean ( 51 / 120 )[/C][C]76.5266666666667[/C][C]0.568130496392898[/C][C]134.699100211202[/C][/ROW]
[ROW][C]Trimmed Mean ( 52 / 120 )[/C][C]76.5266666666667[/C][C]0.563249841386019[/C][C]135.866290664820[/C][/ROW]
[ROW][C]Trimmed Mean ( 53 / 120 )[/C][C]76.5535039370079[/C][C]0.558469004047475[/C][C]137.077444553217[/C][/ROW]
[ROW][C]Trimmed Mean ( 54 / 120 )[/C][C]76.5649603174603[/C][C]0.553675597237758[/C][C]138.284874210524[/C][/ROW]
[ROW][C]Trimmed Mean ( 55 / 120 )[/C][C]76.57944[/C][C]0.549651039667196[/C][C]139.323742653826[/C][/ROW]
[ROW][C]Trimmed Mean ( 56 / 120 )[/C][C]76.5945967741935[/C][C]0.545476102016566[/C][C]140.417878053744[/C][/ROW]
[ROW][C]Trimmed Mean ( 57 / 120 )[/C][C]76.6085365853659[/C][C]0.541390026073028[/C][C]141.503413243583[/C][/ROW]
[ROW][C]Trimmed Mean ( 58 / 120 )[/C][C]76.6220081967213[/C][C]0.537226586254322[/C][C]142.625123471549[/C][/ROW]
[ROW][C]Trimmed Mean ( 59 / 120 )[/C][C]76.6351652892562[/C][C]0.532927234481041[/C][C]143.800429647553[/C][/ROW]
[ROW][C]Trimmed Mean ( 60 / 120 )[/C][C]76.6485833333333[/C][C]0.528455753336589[/C][C]145.042575181339[/C][/ROW]
[ROW][C]Trimmed Mean ( 61 / 120 )[/C][C]76.6651260504202[/C][C]0.524144706552887[/C][C]146.26709969966[/C][/ROW]
[ROW][C]Trimmed Mean ( 62 / 120 )[/C][C]76.6814830508475[/C][C]0.519709813565343[/C][C]147.546729057881[/C][/ROW]
[ROW][C]Trimmed Mean ( 63 / 120 )[/C][C]76.6814830508475[/C][C]0.515273513072799[/C][C]148.817047850107[/C][/ROW]
[ROW][C]Trimmed Mean ( 64 / 120 )[/C][C]76.7150862068966[/C][C]0.510683321454534[/C][C]150.220465372544[/C][/ROW]
[ROW][C]Trimmed Mean ( 65 / 120 )[/C][C]76.7323043478261[/C][C]0.505977354181655[/C][C]151.651657359111[/C][/ROW]
[ROW][C]Trimmed Mean ( 66 / 120 )[/C][C]76.7448245614035[/C][C]0.501774394090386[/C][C]152.946873067379[/C][/ROW]
[ROW][C]Trimmed Mean ( 67 / 120 )[/C][C]76.7583185840708[/C][C]0.497596819829531[/C][C]154.258056975458[/C][/ROW]
[ROW][C]Trimmed Mean ( 68 / 120 )[/C][C]76.77125[/C][C]0.493331456415312[/C][C]155.617990707185[/C][/ROW]
[ROW][C]Trimmed Mean ( 69 / 120 )[/C][C]76.785[/C][C]0.489237379276313[/C][C]156.948351153343[/C][/ROW]
[ROW][C]Trimmed Mean ( 70 / 120 )[/C][C]76.7969545454545[/C][C]0.485214443772572[/C][C]158.274254880695[/C][/ROW]
[ROW][C]Trimmed Mean ( 71 / 120 )[/C][C]76.8076146788991[/C][C]0.481343192278728[/C][C]159.569338282908[/C][/ROW]
[ROW][C]Trimmed Mean ( 72 / 120 )[/C][C]76.8187962962963[/C][C]0.477290445087174[/C][C]160.947693562702[/C][/ROW]
[ROW][C]Trimmed Mean ( 73 / 120 )[/C][C]76.8304672897196[/C][C]0.473064351801941[/C][C]162.410181610739[/C][/ROW]
[ROW][C]Trimmed Mean ( 74 / 120 )[/C][C]76.8416981132075[/C][C]0.469115664878895[/C][C]163.801177121307[/C][/ROW]
[ROW][C]Trimmed Mean ( 75 / 120 )[/C][C]76.8555238095238[/C][C]0.465263001259857[/C][C]165.187267419527[/C][/ROW]
[ROW][C]Trimmed Mean ( 76 / 120 )[/C][C]76.868798076923[/C][C]0.461304009171525[/C][C]166.633709112945[/C][/ROW]
[ROW][C]Trimmed Mean ( 77 / 120 )[/C][C]76.8794660194175[/C][C]0.457614443560102[/C][C]168.000523369233[/C][/ROW]
[ROW][C]Trimmed Mean ( 78 / 120 )[/C][C]76.89[/C][C]0.454003356396236[/C][C]169.359981411445[/C][/ROW]
[ROW][C]Trimmed Mean ( 79 / 120 )[/C][C]76.895198019802[/C][C]0.451125953511553[/C][C]170.451727330808[/C][/ROW]
[ROW][C]Trimmed Mean ( 80 / 120 )[/C][C]76.9011[/C][C]0.448140915730486[/C][C]171.600265230521[/C][/ROW]
[ROW][C]Trimmed Mean ( 81 / 120 )[/C][C]76.9069696969697[/C][C]0.445093310110218[/C][C]172.788419753883[/C][/ROW]
[ROW][C]Trimmed Mean ( 82 / 120 )[/C][C]76.9109693877551[/C][C]0.442138324694538[/C][C]173.952279393312[/C][/ROW]
[ROW][C]Trimmed Mean ( 83 / 120 )[/C][C]76.9157731958763[/C][C]0.43920576294788[/C][C]175.124690258228[/C][/ROW]
[ROW][C]Trimmed Mean ( 84 / 120 )[/C][C]76.91828125[/C][C]0.436556647278521[/C][C]176.193128038494[/C][/ROW]
[ROW][C]Trimmed Mean ( 85 / 120 )[/C][C]76.9208421052632[/C][C]0.433866347377724[/C][C]177.291561261136[/C][/ROW]
[ROW][C]Trimmed Mean ( 86 / 120 )[/C][C]76.9234042553192[/C][C]0.431041902843514[/C][C]178.459225768696[/C][/ROW]
[ROW][C]Trimmed Mean ( 87 / 120 )[/C][C]76.9249462365591[/C][C]0.428270857099177[/C][C]179.617512986052[/C][/ROW]
[ROW][C]Trimmed Mean ( 88 / 120 )[/C][C]76.9263586956522[/C][C]0.425329434335582[/C][C]180.863002852885[/C][/ROW]
[ROW][C]Trimmed Mean ( 89 / 120 )[/C][C]76.9273626373626[/C][C]0.422526498911457[/C][C]182.065178954571[/C][/ROW]
[ROW][C]Trimmed Mean ( 90 / 120 )[/C][C]76.9281666666667[/C][C]0.419585215914513[/C][C]183.343368042644[/C][/ROW]
[ROW][C]Trimmed Mean ( 91 / 120 )[/C][C]76.9277528089888[/C][C]0.416742555183588[/C][C]184.592986370446[/C][/ROW]
[ROW][C]Trimmed Mean ( 92 / 120 )[/C][C]76.9261931818182[/C][C]0.413863964939035[/C][C]185.873136341189[/C][/ROW]
[ROW][C]Trimmed Mean ( 93 / 120 )[/C][C]76.924367816092[/C][C]0.410885318649921[/C][C]187.216150893024[/C][/ROW]
[ROW][C]Trimmed Mean ( 94 / 120 )[/C][C]76.9223837209302[/C][C]0.407865535362539[/C][C]188.597410302286[/C][/ROW]
[ROW][C]Trimmed Mean ( 95 / 120 )[/C][C]76.9204705882353[/C][C]0.404753643702255[/C][C]190.042688398426[/C][/ROW]
[ROW][C]Trimmed Mean ( 96 / 120 )[/C][C]76.92[/C][C]0.401689607680064[/C][C]191.491137757452[/C][/ROW]
[ROW][C]Trimmed Mean ( 97 / 120 )[/C][C]76.9189156626506[/C][C]0.398546208277207[/C][C]192.998739080087[/C][/ROW]
[ROW][C]Trimmed Mean ( 98 / 120 )[/C][C]76.9189156626506[/C][C]0.395302449383711[/C][C]194.582441324534[/C][/ROW]
[ROW][C]Trimmed Mean ( 99 / 120 )[/C][C]76.919074074074[/C][C]0.392139503391394[/C][C]196.152321836602[/C][/ROW]
[ROW][C]Trimmed Mean ( 100 / 120 )[/C][C]76.9203125[/C][C]0.389242455098642[/C][C]197.615423221259[/C][/ROW]
[ROW][C]Trimmed Mean ( 101 / 120 )[/C][C]76.919493670886[/C][C]0.386538061466049[/C][C]198.995910982603[/C][/ROW]
[ROW][C]Trimmed Mean ( 102 / 120 )[/C][C]76.9203205128205[/C][C]0.383865298738306[/C][C]200.383626146055[/C][/ROW]
[ROW][C]Trimmed Mean ( 103 / 120 )[/C][C]76.920974025974[/C][C]0.381031560695428[/C][C]201.875597616072[/C][/ROW]
[ROW][C]Trimmed Mean ( 104 / 120 )[/C][C]76.920974025974[/C][C]0.378023957465234[/C][C]203.481743701517[/C][/ROW]
[ROW][C]Trimmed Mean ( 105 / 120 )[/C][C]76.9222666666667[/C][C]0.374869166100343[/C][C]205.197635929535[/C][/ROW]
[ROW][C]Trimmed Mean ( 106 / 120 )[/C][C]76.9227027027027[/C][C]0.371524707816399[/C][C]207.045994746375[/C][/ROW]
[ROW][C]Trimmed Mean ( 107 / 120 )[/C][C]76.922602739726[/C][C]0.368164901835762[/C][C]208.935187347220[/C][/ROW]
[ROW][C]Trimmed Mean ( 108 / 120 )[/C][C]76.923125[/C][C]0.364628440016867[/C][C]210.963042258694[/C][/ROW]
[ROW][C]Trimmed Mean ( 109 / 120 )[/C][C]76.923125[/C][C]0.361240021082387[/C][C]212.941868316568[/C][/ROW]
[ROW][C]Trimmed Mean ( 110 / 120 )[/C][C]76.9249285714286[/C][C]0.358018563546746[/C][C]214.862960762046[/C][/ROW]
[ROW][C]Trimmed Mean ( 111 / 120 )[/C][C]76.9248550724638[/C][C]0.354783264945283[/C][C]216.822107109048[/C][/ROW]
[ROW][C]Trimmed Mean ( 112 / 120 )[/C][C]76.9244117647059[/C][C]0.35144178239492[/C][C]218.882374316737[/C][/ROW]
[ROW][C]Trimmed Mean ( 113 / 120 )[/C][C]76.9237313432836[/C][C]0.348057592773596[/C][C]221.008628860227[/C][/ROW]
[ROW][C]Trimmed Mean ( 114 / 120 )[/C][C]76.9225[/C][C]0.344628192356518[/C][C]223.204316147251[/C][/ROW]
[ROW][C]Trimmed Mean ( 115 / 120 )[/C][C]76.9225[/C][C]0.341103356602257[/C][C]225.510826883171[/C][/ROW]
[ROW][C]Trimmed Mean ( 116 / 120 )[/C][C]76.92234375[/C][C]0.337345774115623[/C][C]228.022253877813[/C][/ROW]
[ROW][C]Trimmed Mean ( 117 / 120 )[/C][C]76.9221428571429[/C][C]0.333507356614663[/C][C]230.646015242235[/C][/ROW]
[ROW][C]Trimmed Mean ( 118 / 120 )[/C][C]76.9241129032258[/C][C]0.32973001958112[/C][C]233.294235693032[/C][/ROW]
[ROW][C]Trimmed Mean ( 119 / 120 )[/C][C]76.9258196721311[/C][C]0.32564714347501[/C][C]236.224457095643[/C][/ROW]
[ROW][C]Trimmed Mean ( 120 / 120 )[/C][C]76.9284166666667[/C][C]0.321428272551474[/C][C]239.333074393284[/C][/ROW]
[ROW][C]Median[/C][C]76.775[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]108.26[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]76.8713259668508[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]76.9281666666666[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]76.8713259668508[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]76.9281666666666[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]76.9281666666666[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]76.8713259668508[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]76.9281666666666[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]76.9273626373626[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]360[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=48235&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=48235&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean77.53816666666670.99356098102303378.0406720348745
Geometric Mean75.4064875707584
Harmonic Mean73.3492143886423
Quadratic Mean79.7907197541725
Winsorized Mean ( 1 / 120 )77.54155555555550.9931945414466778.072877286065
Winsorized Mean ( 2 / 120 )77.46277777777780.97304243254629479.6088384091023
Winsorized Mean ( 3 / 120 )77.38036111111110.95504485665294781.0227504729972
Winsorized Mean ( 4 / 120 )77.21869444444440.92460964806097583.5149131380815
Winsorized Mean ( 5 / 120 )77.12744444444440.90972589686944684.7809705207424
Winsorized Mean ( 6 / 120 )77.10844444444450.90598950254026785.1096444586204
Winsorized Mean ( 7 / 120 )77.04252777777780.89628343921014785.9577722931841
Winsorized Mean ( 8 / 120 )76.97741666666670.8856166880301386.9195643070897
Winsorized Mean ( 9 / 120 )76.98041666666670.88411977236000287.0701222541161
Winsorized Mean ( 10 / 120 )76.92236111111110.87630122503259287.780729860614
Winsorized Mean ( 11 / 120 )76.86308333333330.86873895646374588.4766163200615
Winsorized Mean ( 12 / 120 )76.83408333333330.86335986476863488.994272804103
Winsorized Mean ( 13 / 120 )76.82505555555560.8621810558130289.1054785274898
Winsorized Mean ( 14 / 120 )76.8060.85803368055507289.513968671152
Winsorized Mean ( 15 / 120 )76.77933333333330.85380461104091489.926116983285
Winsorized Mean ( 16 / 120 )76.74688888888890.84955361280880190.3378994942387
Winsorized Mean ( 17 / 120 )76.757750.84779738136942690.5378474701292
Winsorized Mean ( 18 / 120 )76.677750.8387364212063191.4205560427654
Winsorized Mean ( 19 / 120 )76.67088888888890.8362720713810791.6817522822087
Winsorized Mean ( 20 / 120 )76.6420.83234230003399192.0799051025883
Winsorized Mean ( 21 / 120 )76.643750.83172994140585292.1498026997213
Winsorized Mean ( 22 / 120 )76.59180555555560.82451682073161392.892956977632
Winsorized Mean ( 23 / 120 )76.58094444444440.81665648752912393.77375385353
Winsorized Mean ( 24 / 120 )76.56961111111110.8155513310519493.8869304674516
Winsorized Mean ( 25 / 120 )76.54947222222220.81307753656603694.1478134367387
Winsorized Mean ( 26 / 120 )76.529250.81113188459802594.348713758091
Winsorized Mean ( 27 / 120 )76.452750.7976685986451295.8452546958208
Winsorized Mean ( 28 / 120 )76.42163888888890.79394943780345496.2550450319828
Winsorized Mean ( 29 / 120 )76.42647222222220.7888245794302496.8865248562923
Winsorized Mean ( 30 / 120 )76.49230555555560.78265086425573597.7349020476663
Winsorized Mean ( 31 / 120 )76.50436111111110.7765078783181798.5236122482249
Winsorized Mean ( 32 / 120 )76.425250.757250506810145100.924660086310
Winsorized Mean ( 33 / 120 )76.39958333333330.754857678510186101.210579832901
Winsorized Mean ( 34 / 120 )76.41563888888890.75167843477487101.660012252148
Winsorized Mean ( 35 / 120 )76.37188888888890.746746624268885102.272827766261
Winsorized Mean ( 36 / 120 )76.36688888888890.746148739300877102.348077355787
Winsorized Mean ( 37 / 120 )76.269250.737239165366731103.452520678362
Winsorized Mean ( 38 / 120 )76.27030555555560.73286586279089104.071303396646
Winsorized Mean ( 39 / 120 )76.21722222222220.725254082107508105.090373294754
Winsorized Mean ( 40 / 120 )76.16388888888890.719305581529136105.885302220199
Winsorized Mean ( 41 / 120 )76.15933333333330.710294828738455107.222142484972
Winsorized Mean ( 42 / 120 )76.11966666666660.69920593507719108.865876057335
Winsorized Mean ( 43 / 120 )76.13997222222220.694585948750852109.619223307285
Winsorized Mean ( 44 / 120 )76.08986111111110.687817299633067110.625105172119
Winsorized Mean ( 45 / 120 )76.08986111111110.681634744260152111.628495688991
Winsorized Mean ( 46 / 120 )76.096250.680489556952096111.825742544579
Winsorized Mean ( 47 / 120 )76.10930555555560.678982503620495112.093176406937
Winsorized Mean ( 48 / 120 )76.08663888888890.675599264192376112.620961746967
Winsorized Mean ( 49 / 120 )76.026750.67052950118423113.383154455886
Winsorized Mean ( 50 / 120 )75.98786111111110.666386411920811114.029727725212
Winsorized Mean ( 51 / 120 )76.00769444444440.661630003652437114.879455322241
Winsorized Mean ( 52 / 120 )76.08136111111110.654403588220279116.260611158968
Winsorized Mean ( 53 / 120 )76.12847222222220.64963361730725117.186780662271
Winsorized Mean ( 54 / 120 )76.02197222222220.62691939195975121.26275434642
Winsorized Mean ( 55 / 120 )76.00516666666670.625748110543662121.462878410663
Winsorized Mean ( 56 / 120 )76.06116666666670.619123056382654122.853067548588
Winsorized Mean ( 57 / 120 )76.08808333333330.616256688088322123.46816643786
Winsorized Mean ( 58 / 120 )76.10902777777780.614586949281793123.837689470495
Winsorized Mean ( 59 / 120 )76.10738888888890.613493788213614124.055679700523
Winsorized Mean ( 60 / 120 )75.99238888888890.604343645807638125.743671528694
Winsorized Mean ( 61 / 120 )76.01102777777780.602104334417477126.242286316236
Winsorized Mean ( 62 / 120 )76.00069444444440.596838805138381127.338728296702
Winsorized Mean ( 63 / 120 )76.01994444444440.595053027755498127.753226853054
Winsorized Mean ( 64 / 120 )76.01105555555560.592108264976506128.373576340083
Winsorized Mean ( 65 / 120 )76.21688888888890.575772991889226132.373157411927
Winsorized Mean ( 66 / 120 )76.18572222222220.569949114645801133.671094953044
Winsorized Mean ( 67 / 120 )76.21922222222220.566844583887636134.462292467332
Winsorized Mean ( 68 / 120 )76.19466666666670.55760913523203136.645298386227
Winsorized Mean ( 69 / 120 )76.28091666666670.551076628342768138.421614605692
Winsorized Mean ( 70 / 120 )76.34508333333330.542686868673236140.679805870340
Winsorized Mean ( 71 / 120 )76.33127777777780.541761563091016140.894598247743
Winsorized Mean ( 72 / 120 )76.31927777777780.540394145651254141.228912992390
Winsorized Mean ( 73 / 120 )76.34766666666670.528876227256766144.358287878953
Winsorized Mean ( 74 / 120 )76.24488888888890.521265827083413146.268726871075
Winsorized Mean ( 75 / 120 )76.28030555555560.518646047195635147.075844823285
Winsorized Mean ( 76 / 120 )76.40486111111110.507780550872865150.468270160747
Winsorized Mean ( 77 / 120 )76.41983333333330.501102533954626152.503386343389
Winsorized Mean ( 78 / 120 )76.66250.480084930956597159.685287032954
Winsorized Mean ( 79 / 120 )76.63616666666670.478352125567853160.208688475444
Winsorized Mean ( 80 / 120 )76.64283333333330.475489264953848161.187305334375
Winsorized Mean ( 81 / 120 )76.73058333333330.46914369613728163.554544087662
Winsorized Mean ( 82 / 120 )76.69869444444440.464305286086242165.190224498539
Winsorized Mean ( 83 / 120 )76.804750.453740460255789169.270225442762
Winsorized Mean ( 84 / 120 )76.804750.45064876011655170.431512959530
Winsorized Mean ( 85 / 120 )76.80711111111110.449553717933252170.851909454156
Winsorized Mean ( 86 / 120 )76.85488888888890.444164428541761173.032516676790
Winsorized Mean ( 87 / 120 )76.86213888888890.443683873439305173.236269087440
Winsorized Mean ( 88 / 120 )76.88169444444440.436294722290048176.215045739961
Winsorized Mean ( 89 / 120 )76.89158333333330.434997783655332176.763161152697
Winsorized Mean ( 90 / 120 )76.94658333333330.428468424855271179.585189642211
Winsorized Mean ( 91 / 120 )76.99713888888890.424866592503677181.226625598299
Winsorized Mean ( 92 / 120 )77.00736111111110.422549979215991182.244385040540
Winsorized Mean ( 93 / 120 )77.01252777777780.418872585956862183.856691413338
Winsorized Mean ( 94 / 120 )77.00730555555550.416170368180146185.037935046403
Winsorized Mean ( 95 / 120 )76.94133333333330.41053730485223187.416179781830
Winsorized Mean ( 96 / 120 )76.9680.407458435504251188.8977949487
Winsorized Mean ( 97 / 120 )76.92488888888890.404686420202919190.085174714578
Winsorized Mean ( 98 / 120 )76.90583333333330.398245173381078193.111777552525
Winsorized Mean ( 99 / 120 )76.86458333333330.388280228948572197.961620506601
Winsorized Mean ( 100 / 120 )76.956250.380017586594581202.507075237284
Winsorized Mean ( 101 / 120 )76.88330555555560.375070736817405204.983481803819
Winsorized Mean ( 102 / 120 )76.89180555555560.373822804363409205.690516089558
Winsorized Mean ( 103 / 120 )76.88322222222220.372566849611933206.360878060687
Winsorized Mean ( 104 / 120 )76.90344444444440.370570331020731207.527257329573
Winsorized Mean ( 105 / 120 )76.90344444444440.369108178566174208.349337430509
Winsorized Mean ( 106 / 120 )76.9270.364318527496121211.153137142659
Winsorized Mean ( 107 / 120 )76.900250.362278640057109212.268241892146
Winsorized Mean ( 108 / 120 )76.828250.354455834187868216.749853126355
Winsorized Mean ( 109 / 120 )76.94330555555550.346549433859355222.026926140593
Winsorized Mean ( 110 / 120 )76.92802777777780.341830081849195225.047565625649
Winsorized Mean ( 111 / 120 )76.94344444444440.338600419308836227.239660841249
Winsorized Mean ( 112 / 120 )76.95277777777780.334200698607936230.259176890752
Winsorized Mean ( 113 / 120 )76.974750.329775595665591233.415543817427
Winsorized Mean ( 114 / 120 )76.93358333333330.326085655181052235.930597102217
Winsorized Mean ( 115 / 120 )76.91761111111110.324327754448249237.160126002674
Winsorized Mean ( 116 / 120 )76.93050.320000617914716240.407348277380
Winsorized Mean ( 117 / 120 )76.842750.313486202775661245.123228134511
Winsorized Mean ( 118 / 120 )76.85586111111110.312286658009559246.10677126257
Winsorized Mean ( 119 / 120 )76.82280555555550.308287796411395249.191847519774
Winsorized Mean ( 120 / 120 )76.78613888888890.305682842846176251.195448766252
Trimmed Mean ( 1 / 120 )77.36653631284920.95911915708821480.6641549603971
Trimmed Mean ( 2 / 120 )77.18955056179780.92284587191372183.642949392761
Trimmed Mean ( 3 / 120 )77.05062146892660.8956494734280386.027652284572
Trimmed Mean ( 4 / 120 )76.93821022727270.87385052782810588.0450463519172
Trimmed Mean ( 5 / 120 )76.86608571428570.85980818305301889.3991092773141
Trimmed Mean ( 6 / 120 )76.81201149425290.84862631755706290.513350699954
Trimmed Mean ( 7 / 120 )76.76060693641620.83772536349364491.6297993130998
Trimmed Mean ( 8 / 120 )76.71845930232560.82804895972127792.6496657011068
Trimmed Mean ( 9 / 120 )76.68438596491230.81960871691540993.562189349954
Trimmed Mean ( 10 / 120 )76.64955882352940.81104744601632494.5068740429603
Trimmed Mean ( 11 / 120 )76.62050295857990.80313448855820495.4018337528125
Trimmed Mean ( 12 / 120 )76.5968750.79579045299930896.2525683882094
Trimmed Mean ( 13 / 120 )76.5968750.7887420668110697.1127041691671
Trimmed Mean ( 14 / 120 )76.55475903614460.78154442404355197.9531766602158
Trimmed Mean ( 15 / 120 )76.53518181818180.77446414600572998.8234022361258
Trimmed Mean ( 16 / 120 )76.51731707317070.76749248097437999.6978067798492
Trimmed Mean ( 17 / 120 )76.5014723926380.760616892112443100.578192761631
Trimmed Mean ( 18 / 120 )76.48472222222220.753617633463439101.490091030272
Trimmed Mean ( 19 / 120 )76.47273291925470.747060309484031102.364871949993
Trimmed Mean ( 20 / 120 )76.4610.740433440532594103.265190109460
Trimmed Mean ( 21 / 120 )76.45075471698110.733834035941838104.179897596138
Trimmed Mean ( 22 / 120 )76.44028481012660.727017028713808105.14235814443
Trimmed Mean ( 23 / 120 )76.43238853503180.72042553649169106.093391563048
Trimmed Mean ( 24 / 120 )76.42493589743590.714093804227907107.023664741172
Trimmed Mean ( 25 / 120 )76.4179354838710.707580161186524107.998979727933
Trimmed Mean ( 26 / 120 )76.4179354838710.700960352376692109.018912731322
Trimmed Mean ( 27 / 120 )76.40647058823530.694191700535534110.065376075933
Trimmed Mean ( 28 / 120 )76.40444078947370.687963469128034111.058863178176
Trimmed Mean ( 29 / 120 )76.40370860927150.68169979760143112.078232791177
Trimmed Mean ( 30 / 120 )76.40276666666670.675474890577047113.109706567178
Trimmed Mean ( 31 / 120 )76.39916107382550.669342414247238114.140624361518
Trimmed Mean ( 32 / 120 )76.39503378378380.663297254494715115.174657012533
Trimmed Mean ( 33 / 120 )76.39387755102040.658051260744696116.091073915074
Trimmed Mean ( 34 / 120 )76.39366438356160.652712987442241117.040208871777
Trimmed Mean ( 35 / 120 )76.39286206896550.647316643495638118.014673091717
Trimmed Mean ( 36 / 120 )76.39361111111110.641947387615581119.00291610324
Trimmed Mean ( 37 / 120 )76.39454545454550.636378472056591120.045772773646
Trimmed Mean ( 38 / 120 )76.3988380281690.63102184164364121.071622226532
Trimmed Mean ( 39 / 120 )76.40315602836880.625652380462062122.117582245820
Trimmed Mean ( 40 / 120 )76.40928571428570.620425052681766123.156351253079
Trimmed Mean ( 41 / 120 )76.41723021582730.615257601163317124.203634496086
Trimmed Mean ( 42 / 120 )76.42543478260870.610298424246716125.226334767191
Trimmed Mean ( 43 / 120 )76.4350.605646172752605126.204050217324
Trimmed Mean ( 44 / 120 )76.4440808823530.60100416308521127.193929056885
Trimmed Mean ( 45 / 120 )76.45481481481480.596465745591069128.179724284169
Trimmed Mean ( 46 / 120 )76.46570895522390.592006914092867129.163540382619
Trimmed Mean ( 47 / 120 )76.47657894736840.587396063275608130.195933763835
Trimmed Mean ( 48 / 120 )76.48723484848480.582641658817966131.276632370672
Trimmed Mean ( 49 / 120 )76.48723484848480.577819035516275132.372300230892
Trimmed Mean ( 50 / 120 )76.51203846153850.572996658861515133.529641540249
Trimmed Mean ( 51 / 120 )76.52666666666670.568130496392898134.699100211202
Trimmed Mean ( 52 / 120 )76.52666666666670.563249841386019135.866290664820
Trimmed Mean ( 53 / 120 )76.55350393700790.558469004047475137.077444553217
Trimmed Mean ( 54 / 120 )76.56496031746030.553675597237758138.284874210524
Trimmed Mean ( 55 / 120 )76.579440.549651039667196139.323742653826
Trimmed Mean ( 56 / 120 )76.59459677419350.545476102016566140.417878053744
Trimmed Mean ( 57 / 120 )76.60853658536590.541390026073028141.503413243583
Trimmed Mean ( 58 / 120 )76.62200819672130.537226586254322142.625123471549
Trimmed Mean ( 59 / 120 )76.63516528925620.532927234481041143.800429647553
Trimmed Mean ( 60 / 120 )76.64858333333330.528455753336589145.042575181339
Trimmed Mean ( 61 / 120 )76.66512605042020.524144706552887146.26709969966
Trimmed Mean ( 62 / 120 )76.68148305084750.519709813565343147.546729057881
Trimmed Mean ( 63 / 120 )76.68148305084750.515273513072799148.817047850107
Trimmed Mean ( 64 / 120 )76.71508620689660.510683321454534150.220465372544
Trimmed Mean ( 65 / 120 )76.73230434782610.505977354181655151.651657359111
Trimmed Mean ( 66 / 120 )76.74482456140350.501774394090386152.946873067379
Trimmed Mean ( 67 / 120 )76.75831858407080.497596819829531154.258056975458
Trimmed Mean ( 68 / 120 )76.771250.493331456415312155.617990707185
Trimmed Mean ( 69 / 120 )76.7850.489237379276313156.948351153343
Trimmed Mean ( 70 / 120 )76.79695454545450.485214443772572158.274254880695
Trimmed Mean ( 71 / 120 )76.80761467889910.481343192278728159.569338282908
Trimmed Mean ( 72 / 120 )76.81879629629630.477290445087174160.947693562702
Trimmed Mean ( 73 / 120 )76.83046728971960.473064351801941162.410181610739
Trimmed Mean ( 74 / 120 )76.84169811320750.469115664878895163.801177121307
Trimmed Mean ( 75 / 120 )76.85552380952380.465263001259857165.187267419527
Trimmed Mean ( 76 / 120 )76.8687980769230.461304009171525166.633709112945
Trimmed Mean ( 77 / 120 )76.87946601941750.457614443560102168.000523369233
Trimmed Mean ( 78 / 120 )76.890.454003356396236169.359981411445
Trimmed Mean ( 79 / 120 )76.8951980198020.451125953511553170.451727330808
Trimmed Mean ( 80 / 120 )76.90110.448140915730486171.600265230521
Trimmed Mean ( 81 / 120 )76.90696969696970.445093310110218172.788419753883
Trimmed Mean ( 82 / 120 )76.91096938775510.442138324694538173.952279393312
Trimmed Mean ( 83 / 120 )76.91577319587630.43920576294788175.124690258228
Trimmed Mean ( 84 / 120 )76.918281250.436556647278521176.193128038494
Trimmed Mean ( 85 / 120 )76.92084210526320.433866347377724177.291561261136
Trimmed Mean ( 86 / 120 )76.92340425531920.431041902843514178.459225768696
Trimmed Mean ( 87 / 120 )76.92494623655910.428270857099177179.617512986052
Trimmed Mean ( 88 / 120 )76.92635869565220.425329434335582180.863002852885
Trimmed Mean ( 89 / 120 )76.92736263736260.422526498911457182.065178954571
Trimmed Mean ( 90 / 120 )76.92816666666670.419585215914513183.343368042644
Trimmed Mean ( 91 / 120 )76.92775280898880.416742555183588184.592986370446
Trimmed Mean ( 92 / 120 )76.92619318181820.413863964939035185.873136341189
Trimmed Mean ( 93 / 120 )76.9243678160920.410885318649921187.216150893024
Trimmed Mean ( 94 / 120 )76.92238372093020.407865535362539188.597410302286
Trimmed Mean ( 95 / 120 )76.92047058823530.404753643702255190.042688398426
Trimmed Mean ( 96 / 120 )76.920.401689607680064191.491137757452
Trimmed Mean ( 97 / 120 )76.91891566265060.398546208277207192.998739080087
Trimmed Mean ( 98 / 120 )76.91891566265060.395302449383711194.582441324534
Trimmed Mean ( 99 / 120 )76.9190740740740.392139503391394196.152321836602
Trimmed Mean ( 100 / 120 )76.92031250.389242455098642197.615423221259
Trimmed Mean ( 101 / 120 )76.9194936708860.386538061466049198.995910982603
Trimmed Mean ( 102 / 120 )76.92032051282050.383865298738306200.383626146055
Trimmed Mean ( 103 / 120 )76.9209740259740.381031560695428201.875597616072
Trimmed Mean ( 104 / 120 )76.9209740259740.378023957465234203.481743701517
Trimmed Mean ( 105 / 120 )76.92226666666670.374869166100343205.197635929535
Trimmed Mean ( 106 / 120 )76.92270270270270.371524707816399207.045994746375
Trimmed Mean ( 107 / 120 )76.9226027397260.368164901835762208.935187347220
Trimmed Mean ( 108 / 120 )76.9231250.364628440016867210.963042258694
Trimmed Mean ( 109 / 120 )76.9231250.361240021082387212.941868316568
Trimmed Mean ( 110 / 120 )76.92492857142860.358018563546746214.862960762046
Trimmed Mean ( 111 / 120 )76.92485507246380.354783264945283216.822107109048
Trimmed Mean ( 112 / 120 )76.92441176470590.35144178239492218.882374316737
Trimmed Mean ( 113 / 120 )76.92373134328360.348057592773596221.008628860227
Trimmed Mean ( 114 / 120 )76.92250.344628192356518223.204316147251
Trimmed Mean ( 115 / 120 )76.92250.341103356602257225.510826883171
Trimmed Mean ( 116 / 120 )76.922343750.337345774115623228.022253877813
Trimmed Mean ( 117 / 120 )76.92214285714290.333507356614663230.646015242235
Trimmed Mean ( 118 / 120 )76.92411290322580.32973001958112233.294235693032
Trimmed Mean ( 119 / 120 )76.92581967213110.32564714347501236.224457095643
Trimmed Mean ( 120 / 120 )76.92841666666670.321428272551474239.333074393284
Median76.775
Midrange108.26
Midmean - Weighted Average at Xnp76.8713259668508
Midmean - Weighted Average at X(n+1)p76.9281666666666
Midmean - Empirical Distribution Function76.8713259668508
Midmean - Empirical Distribution Function - Averaging76.9281666666666
Midmean - Empirical Distribution Function - Interpolation76.9281666666666
Midmean - Closest Observation76.8713259668508
Midmean - True Basic - Statistics Graphics Toolkit76.9281666666666
Midmean - MS Excel (old versions)76.9273626373626
Number of observations360



Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
geomean <- function(x) {
return(exp(mean(log(x))))
}
harmean <- function(x) {
return(1/mean(1/x))
}
quamean <- function(x) {
return(sqrt(mean(x*x)))
}
winmean <- function(x) {
x <-sort(x[!is.na(x)])
n<-length(x)
denom <- 3
nodenom <- n/denom
if (nodenom>40) denom <- n/40
sqrtn = sqrt(n)
roundnodenom = floor(nodenom)
win <- array(NA,dim=c(roundnodenom,2))
for (j in 1:roundnodenom) {
win[j,1] <- (j*x[j+1]+sum(x[(j+1):(n-j)])+j*x[n-j])/n
win[j,2] <- sd(c(rep(x[j+1],j),x[(j+1):(n-j)],rep(x[n-j],j)))/sqrtn
}
return(win)
}
trimean <- function(x) {
x <-sort(x[!is.na(x)])
n<-length(x)
denom <- 3
nodenom <- n/denom
if (nodenom>40) denom <- n/40
sqrtn = sqrt(n)
roundnodenom = floor(nodenom)
tri <- array(NA,dim=c(roundnodenom,2))
for (j in 1:roundnodenom) {
tri[j,1] <- mean(x,trim=j/n)
tri[j,2] <- sd(x[(j+1):(n-j)]) / sqrt(n-j*2)
}
return(tri)
}
midrange <- function(x) {
return((max(x)+min(x))/2)
}
q1 <- function(data,n,p,i,f) {
np <- n*p;
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q2 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q3 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
q4 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- (data[i]+data[i+1])/2
} else {
qvalue <- data[i+1]
}
}
q5 <- function(data,n,p,i,f) {
np <- (n-1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i+1]
} else {
qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
}
}
q6 <- function(data,n,p,i,f) {
np <- n*p+0.5
i <<- floor(np)
f <<- np - i
qvalue <- data[i]
}
q7 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- f*data[i] + (1-f)*data[i+1]
}
}
q8 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
if (f == 0.5) {
qvalue <- (data[i]+data[i+1])/2
} else {
if (f < 0.5) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
}
}
midmean <- function(x,def) {
x <-sort(x[!is.na(x)])
n<-length(x)
if (def==1) {
qvalue1 <- q1(x,n,0.25,i,f)
qvalue3 <- q1(x,n,0.75,i,f)
}
if (def==2) {
qvalue1 <- q2(x,n,0.25,i,f)
qvalue3 <- q2(x,n,0.75,i,f)
}
if (def==3) {
qvalue1 <- q3(x,n,0.25,i,f)
qvalue3 <- q3(x,n,0.75,i,f)
}
if (def==4) {
qvalue1 <- q4(x,n,0.25,i,f)
qvalue3 <- q4(x,n,0.75,i,f)
}
if (def==5) {
qvalue1 <- q5(x,n,0.25,i,f)
qvalue3 <- q5(x,n,0.75,i,f)
}
if (def==6) {
qvalue1 <- q6(x,n,0.25,i,f)
qvalue3 <- q6(x,n,0.75,i,f)
}
if (def==7) {
qvalue1 <- q7(x,n,0.25,i,f)
qvalue3 <- q7(x,n,0.75,i,f)
}
if (def==8) {
qvalue1 <- q8(x,n,0.25,i,f)
qvalue3 <- q8(x,n,0.75,i,f)
}
midm <- 0
myn <- 0
roundno4 <- round(n/4)
round3no4 <- round(3*n/4)
for (i in 1:n) {
if ((x[i]>=qvalue1) & (x[i]<=qvalue3)){
midm = midm + x[i]
myn = myn + 1
}
}
midm = midm / myn
return(midm)
}
(arm <- mean(x))
sqrtn <- sqrt(length(x))
(armse <- sd(x) / sqrtn)
(armose <- arm / armse)
(geo <- geomean(x))
(har <- harmean(x))
(qua <- quamean(x))
(win <- winmean(x))
(tri <- trimean(x))
(midr <- midrange(x))
midm <- array(NA,dim=8)
for (j in 1:8) midm[j] <- midmean(x,j)
midm
bitmap(file='test1.png')
lb <- win[,1] - 2*win[,2]
ub <- win[,1] + 2*win[,2]
if ((ylimmin == '') | (ylimmax == '')) plot(win[,1],type='b',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(win[,1],type='l',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(ylimmin,ylimmax))
lines(ub,lty=3)
lines(lb,lty=3)
grid()
dev.off()
bitmap(file='test2.png')
lb <- tri[,1] - 2*tri[,2]
ub <- tri[,1] + 2*tri[,2]
if ((ylimmin == '') | (ylimmax == '')) plot(tri[,1],type='b',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(tri[,1],type='l',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(ylimmin,ylimmax))
lines(ub,lty=3)
lines(lb,lty=3)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Central Tendency - Ungrouped Data',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Measure',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.element(a,'S.E.',header=TRUE)
a<-table.element(a,'Value/S.E.',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm', 'Arithmetic Mean', 'click to view the definition of the Arithmetic Mean'),header=TRUE)
a<-table.element(a,arm)
a<-table.element(a,hyperlink('arithmetic_mean_standard_error.htm', armse, 'click to view the definition of the Standard Error of the Arithmetic Mean'))
a<-table.element(a,armose)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('geometric_mean.htm', 'Geometric Mean', 'click to view the definition of the Geometric Mean'),header=TRUE)
a<-table.element(a,geo)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('harmonic_mean.htm', 'Harmonic Mean', 'click to view the definition of the Harmonic Mean'),header=TRUE)
a<-table.element(a,har)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('quadratic_mean.htm', 'Quadratic Mean', 'click to view the definition of the Quadratic Mean'),header=TRUE)
a<-table.element(a,qua)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
for (j in 1:length(win[,1])) {
a<-table.row.start(a)
mylabel <- paste('Winsorized Mean (',j)
mylabel <- paste(mylabel,'/')
mylabel <- paste(mylabel,length(win[,1]))
mylabel <- paste(mylabel,')')
a<-table.element(a,hyperlink('winsorized_mean.htm', mylabel, 'click to view the definition of the Winsorized Mean'),header=TRUE)
a<-table.element(a,win[j,1])
a<-table.element(a,win[j,2])
a<-table.element(a,win[j,1]/win[j,2])
a<-table.row.end(a)
}
for (j in 1:length(tri[,1])) {
a<-table.row.start(a)
mylabel <- paste('Trimmed Mean (',j)
mylabel <- paste(mylabel,'/')
mylabel <- paste(mylabel,length(tri[,1]))
mylabel <- paste(mylabel,')')
a<-table.element(a,hyperlink('arithmetic_mean.htm', mylabel, 'click to view the definition of the Trimmed Mean'),header=TRUE)
a<-table.element(a,tri[j,1])
a<-table.element(a,tri[j,2])
a<-table.element(a,tri[j,1]/tri[j,2])
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,hyperlink('median_1.htm', 'Median', 'click to view the definition of the Median'),header=TRUE)
a<-table.element(a,median(x))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('midrange.htm', 'Midrange', 'click to view the definition of the Midrange'),header=TRUE)
a<-table.element(a,midr)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_1.htm','Weighted Average at Xnp',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[1])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_2.htm','Weighted Average at X(n+1)p',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[2])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_3.htm','Empirical Distribution Function',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[3])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_4.htm','Empirical Distribution Function - Averaging',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[4])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_5.htm','Empirical Distribution Function - Interpolation',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[5])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_6.htm','Closest Observation',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[6])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_7.htm','True Basic - Statistics Graphics Toolkit',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[7])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_8.htm','MS Excel (old versions)',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[8])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of observations',header=TRUE)
a<-table.element(a,length(x))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')