FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

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, 22 Nov 2010 11:38:18 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/22/t1290425799xydtgz4ttouowf7.htm/, Retrieved Sat, 04 May 2024 00:17:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=98455, Retrieved Sat, 04 May 2024 00:17:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact150

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [] [2010-11-22 11:38:18] [9b9a58c480cb5dafe4bfceb51e1cfd12] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
41.82
41.32
41.82
41.82
41.82
41.82
41.82
41.82
41.82
41.82
41.82
41.32
41.32
41.32
41.82
41.32
41.32
41.32
41.82
41.82
41.82
41.82
41.32
41.82
41.32
41.32
41.82
41.32
41.32
41.82
41.82
41.82
41.82
41.82
41.82
41.82
42.17
42.17
41.67
42.17
42.17
42.16
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
41.67
41.67
42.17
42.17
42.17
42.17
42.17
42.17
41.67
42.17
42.17
42.17
42.17
42.17
42.17
41.67
41.67
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
42.17
41.67
42.17
42.17
42.17
41.67
41.67
42.17
42.17
42.17
42.17
41.96
42.46
41.96
42.46
42.46
42.46
41.96
41.96
42.46
41.96
41.96
41.96
41.96
41.96
42.46
42.46
42.46
42.46
42.46
42.46
42.46
42.46
41.96
41.96
41.96
42.46
42.46
42.46
42.46
41.96
42.46
42.46
42.46
42.46
42.46
42.46
42.46
42.46
42.46
42.46
42.46
42.46
41.96
42.46
5
5
42.46
42.46
42.46
42.46
42.46
41.96
41.96
5
42.46
42.74
42.74
42.26
42.26
42.74
42.74
42.26
42.26
42.26
42.26
42.26
42.26
42.26
42.26
42.74
42.74
42.74
42.26
42.74
42.26
42.26
42.26
42.74
42.74
42.74
42.74
42.74
42.74
42.26
42.74
42.74
42.74
42.26
42.26
42.26
42.26
42.26
42.26
42.74
42.26
42.05
42.05
42.05
42.05
42.05
42.55
42.55

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=98455&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=98455&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=98455&T=0

As an alternative you can also use a QR Code:  
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'George Udny Yule' @ 72.249.76.132






Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean41.59716417910450.319469822132366130.206865554486
Geometric Mean40.8302079750825
Harmonic Mean37.9413956949818
Quadratic Mean41.8418004057429
Winsorized Mean ( 1 / 67 )41.59716417910450.319469822132366130.206865554486
Winsorized Mean ( 2 / 67 )41.59716417910450.319469822132366130.206865554486
Winsorized Mean ( 3 / 67 )42.13925373134330.02541104279663621658.30477987788
Winsorized Mean ( 4 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 5 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 6 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 7 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 8 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 9 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 10 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 11 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 12 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 13 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 14 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 15 / 67 )42.16537313432840.02177233913972171936.64873873847
Winsorized Mean ( 16 / 67 )42.16537313432840.02177233913972171936.64873873847
Winsorized Mean ( 17 / 67 )42.16537313432840.02177233913972171936.64873873847
Winsorized Mean ( 18 / 67 )42.14835820895520.01977319043362142131.59117394066
Winsorized Mean ( 19 / 67 )42.14835820895520.01977319043362142131.59117394066
Winsorized Mean ( 20 / 67 )42.13940298507460.01893779313728692225.14855239948
Winsorized Mean ( 21 / 67 )42.13940298507460.01893779313728692225.14855239948
Winsorized Mean ( 22 / 67 )42.13940298507460.01893779313728692225.14855239948
Winsorized Mean ( 23 / 67 )42.13940298507460.01893779313728692225.14855239948
Winsorized Mean ( 24 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 25 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 26 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 27 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 28 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 29 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 30 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 31 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 32 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 33 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 34 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 35 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 36 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 37 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 38 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 39 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 40 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 41 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 42 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 43 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 44 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 45 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 46 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 47 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 48 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 49 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 50 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 51 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 52 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 53 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 54 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 55 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 56 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 57 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 58 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 59 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 60 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 61 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 62 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 63 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 64 / 67 )42.16368159203980.006343162617127796647.10715096434
Winsorized Mean ( 65 / 67 )42.16368159203980.006343162617127796647.10715096434
Winsorized Mean ( 66 / 67 )42.16368159203980.006343162617127796647.10715096434
Winsorized Mean ( 67 / 67 )42.16368159203980.006343162617127796647.10715096434
Trimmed Mean ( 1 / 67 )41.77532663316580.264466509672893157.960744008139
Trimmed Mean ( 2 / 67 )41.95710659898480.190144272510709220.659323812247
Trimmed Mean ( 3 / 67 )42.14261538461540.02458192114772311714.3743620103
Trimmed Mean ( 4 / 67 )42.14378238341970.02426918590743991736.51405301157
Trimmed Mean ( 5 / 67 )42.14497382198950.02393580953155411760.74988257367
Trimmed Mean ( 6 / 67 )42.14619047619050.02358004918452371787.36652101016
Trimmed Mean ( 7 / 67 )42.14743315508020.0231999406613881816.70435154288
Trimmed Mean ( 8 / 67 )42.14870270270270.02279325709495531849.17418897676
Trimmed Mean ( 9 / 67 )42.150.02235745696234471885.27702730193
Trimmed Mean ( 10 / 67 )42.15132596685080.02188961772784541925.63097679092
Trimmed Mean ( 11 / 67 )42.15268156424580.02138634986072631971.00869661048
Trimmed Mean ( 12 / 67 )42.15406779661020.02084368349968152022.39051448149
Trimmed Mean ( 13 / 67 )42.15548571428570.02025691612056142081.04162861674
Trimmed Mean ( 14 / 67 )42.1569364161850.01962040315098122148.62743093415
Trimmed Mean ( 15 / 67 )42.1569364161850.01892726258090942227.31291627485
Trimmed Mean ( 16 / 67 )42.15786982248520.01861394767871452264.85378331077
Trimmed Mean ( 17 / 67 )42.15730538922160.01827679134415772306.60319940115
Trimmed Mean ( 18 / 67 )42.15672727272730.01791335053510852353.36919188312
Trimmed Mean ( 19 / 67 )42.15730061349690.01772018221141632379.05570668099
Trimmed Mean ( 20 / 67 )42.15788819875780.01751206548086102407.36241220844
Trimmed Mean ( 21 / 67 )42.15905660377360.01735925637712182428.62111647455
Trimmed Mean ( 22 / 67 )42.16025477707010.01719368036497082452.07854759034
Trimmed Mean ( 23 / 67 )42.16148387096770.01701419933583982478.01750988988
Trimmed Mean ( 24 / 67 )42.16274509803920.01681953508142632506.77232717326
Trimmed Mean ( 25 / 67 )42.16304635761590.01677430847953922513.54900317024
Trimmed Mean ( 26 / 67 )42.1633557046980.01672339028122682521.22057762590
Trimmed Mean ( 27 / 67 )42.16367346938780.01666631673269382529.87352548488
Trimmed Mean ( 28 / 67 )42.1640.01660257792843422539.60560713817
Trimmed Mean ( 29 / 67 )42.16433566433570.01653161193740302550.52779027181
Trimmed Mean ( 30 / 67 )42.16433566433570.01645279797513582562.74560278783
Trimmed Mean ( 31 / 67 )42.1650359712230.01636544842671542576.46688754289
Trimmed Mean ( 32 / 67 )42.1654014598540.01626879947613862591.79551150643
Trimmed Mean ( 33 / 67 )42.16577777777780.01616200003313152608.94553219525
Trimmed Mean ( 34 / 67 )42.16616541353380.01604409856324512628.14175862338
Trimmed Mean ( 35 / 67 )42.16656488549620.01591402731317022649.64763825684
Trimmed Mean ( 36 / 67 )42.16697674418600.01577058326907522673.77407827850
Trimmed Mean ( 37 / 67 )42.16740157480320.01561240497430422700.89083931685
Trimmed Mean ( 38 / 67 )42.167840.01543794403827892731.44143387509
Trimmed Mean ( 39 / 67 )42.16829268292680.01524542975155672765.9628734717
Trimmed Mean ( 40 / 67 )42.16876033057850.01503282462104992805.11223895550
Trimmed Mean ( 41 / 67 )42.1692436974790.01479776775562072849.70303588267
Trimmed Mean ( 42 / 67 )42.16974358974360.01453750170313542900.75588301728
Trimmed Mean ( 43 / 67 )42.17026086956520.01424877629044732959.57070347417
Trimmed Mean ( 44 / 67 )42.1707964601770.01392771976637423027.83206207166
Trimmed Mean ( 45 / 67 )42.17135135135140.0135696622207183107.76721376046
Trimmed Mean ( 46 / 67 )42.17192660550460.01316888719467123202.39105871978
Trimmed Mean ( 47 / 67 )42.1725233644860.01271827131671423315.90059012684
Trimmed Mean ( 48 / 67 )42.17314285714290.01220874175319603454.33982548634
Trimmed Mean ( 49 / 67 )42.1724271844660.01194844724533993529.53202357855
Trimmed Mean ( 50 / 67 )42.17168316831680.0116551686634253618.28167280457
Trimmed Mean ( 51 / 67 )42.17090909090910.01132355330237333724.17632211529
Trimmed Mean ( 52 / 67 )42.17010309278350.01094689505218363852.24329746102
Trimmed Mean ( 53 / 67 )42.16926315789470.01051660246132384009.78008943268
Trimmed Mean ( 54 / 67 )42.16838709677420.01002135438812234207.85309685823
Trimmed Mean ( 55 / 67 )42.16838709677420.009445678388016944464.30477140427
Trimmed Mean ( 56 / 67 )42.16651685393260.008767367301958044809.48446684963
Trimmed Mean ( 57 / 67 )42.1678160919540.008577562979707264916.06021333966
Trimmed Mean ( 58 / 67 )42.16917647058820.008356905202141935046.02785966508
Trimmed Mean ( 59 / 67 )42.17060240963860.00809934894622035206.66570728727
Trimmed Mean ( 60 / 67 )42.17060240963860.007797031821652455408.54563303568
Trimmed Mean ( 61 / 67 )42.17367088607590.007439417145501355668.94826049358
Trimmed Mean ( 62 / 67 )42.17532467532470.00701181605879626014.89319195937
Trimmed Mean ( 63 / 67 )42.17706666666670.006492610722505516496.16440432309
Trimmed Mean ( 64 / 67 )42.17890410958900.005847379188383457213.30065157784
Trimmed Mean ( 65 / 67 )42.17957746478870.005611272858029227516.93573489901
Trimmed Mean ( 66 / 67 )42.18028985507250.005327993175127037916.73120978928
Trimmed Mean ( 67 / 67 )42.18104477611940.004983620064199038463.93670318821
Median42.17
Midrange23.87
Midmean - Weighted Average at Xnp42.2335338345865
Midmean - Weighted Average at X(n+1)p42.2335338345865
Midmean - Empirical Distribution Function42.2335338345865
Midmean - Empirical Distribution Function - Averaging42.2335338345865
Midmean - Empirical Distribution Function - Interpolation42.2335338345865
Midmean - Closest Observation42.2335338345865
Midmean - True Basic - Statistics Graphics Toolkit42.2335338345865
Midmean - MS Excel (old versions)42.2335338345865
Number of observations201

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 41.5971641791045 & 0.319469822132366 & 130.206865554486 \tabularnewline
Geometric Mean & 40.8302079750825 &  &  \tabularnewline
Harmonic Mean & 37.9413956949818 &  &  \tabularnewline
Quadratic Mean & 41.8418004057429 &  &  \tabularnewline
Winsorized Mean ( 1 / 67 ) & 41.5971641791045 & 0.319469822132366 & 130.206865554486 \tabularnewline
Winsorized Mean ( 2 / 67 ) & 41.5971641791045 & 0.319469822132366 & 130.206865554486 \tabularnewline
Winsorized Mean ( 3 / 67 ) & 42.1392537313433 & 0.0254110427966362 & 1658.30477987788 \tabularnewline
Winsorized Mean ( 4 / 67 ) & 42.1392537313433 & 0.0254110427966362 & 1658.30477987789 \tabularnewline
Winsorized Mean ( 5 / 67 ) & 42.1392537313433 & 0.0254110427966362 & 1658.30477987789 \tabularnewline
Winsorized Mean ( 6 / 67 ) & 42.1392537313433 & 0.0254110427966362 & 1658.30477987789 \tabularnewline
Winsorized Mean ( 7 / 67 ) & 42.1392537313433 & 0.0254110427966362 & 1658.30477987789 \tabularnewline
Winsorized Mean ( 8 / 67 ) & 42.1392537313433 & 0.0254110427966362 & 1658.30477987789 \tabularnewline
Winsorized Mean ( 9 / 67 ) & 42.1392537313433 & 0.0254110427966362 & 1658.30477987789 \tabularnewline
Winsorized Mean ( 10 / 67 ) & 42.1392537313433 & 0.0254110427966362 & 1658.30477987789 \tabularnewline
Winsorized Mean ( 11 / 67 ) & 42.1392537313433 & 0.0254110427966362 & 1658.30477987789 \tabularnewline
Winsorized Mean ( 12 / 67 ) & 42.1392537313433 & 0.0254110427966362 & 1658.30477987789 \tabularnewline
Winsorized Mean ( 13 / 67 ) & 42.1392537313433 & 0.0254110427966362 & 1658.30477987789 \tabularnewline
Winsorized Mean ( 14 / 67 ) & 42.1392537313433 & 0.0254110427966362 & 1658.30477987789 \tabularnewline
Winsorized Mean ( 15 / 67 ) & 42.1653731343284 & 0.0217723391397217 & 1936.64873873847 \tabularnewline
Winsorized Mean ( 16 / 67 ) & 42.1653731343284 & 0.0217723391397217 & 1936.64873873847 \tabularnewline
Winsorized Mean ( 17 / 67 ) & 42.1653731343284 & 0.0217723391397217 & 1936.64873873847 \tabularnewline
Winsorized Mean ( 18 / 67 ) & 42.1483582089552 & 0.0197731904336214 & 2131.59117394066 \tabularnewline
Winsorized Mean ( 19 / 67 ) & 42.1483582089552 & 0.0197731904336214 & 2131.59117394066 \tabularnewline
Winsorized Mean ( 20 / 67 ) & 42.1394029850746 & 0.0189377931372869 & 2225.14855239948 \tabularnewline
Winsorized Mean ( 21 / 67 ) & 42.1394029850746 & 0.0189377931372869 & 2225.14855239948 \tabularnewline
Winsorized Mean ( 22 / 67 ) & 42.1394029850746 & 0.0189377931372869 & 2225.14855239948 \tabularnewline
Winsorized Mean ( 23 / 67 ) & 42.1394029850746 & 0.0189377931372869 & 2225.14855239948 \tabularnewline
Winsorized Mean ( 24 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 25 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 26 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 27 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 28 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 29 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 30 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 31 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 32 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 33 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 34 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 35 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 36 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 37 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 38 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 39 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 40 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 41 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 42 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 43 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 44 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 45 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 46 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 47 / 67 ) & 42.1573134328358 & 0.0169232605488794 & 2491.08694574979 \tabularnewline
Winsorized Mean ( 48 / 67 ) & 42.1907462686567 & 0.0138360946051595 & 3049.32478944773 \tabularnewline
Winsorized Mean ( 49 / 67 ) & 42.1907462686567 & 0.0138360946051595 & 3049.32478944773 \tabularnewline
Winsorized Mean ( 50 / 67 ) & 42.1907462686567 & 0.0138360946051595 & 3049.32478944773 \tabularnewline
Winsorized Mean ( 51 / 67 ) & 42.1907462686567 & 0.0138360946051595 & 3049.32478944773 \tabularnewline
Winsorized Mean ( 52 / 67 ) & 42.1907462686567 & 0.0138360946051595 & 3049.32478944773 \tabularnewline
Winsorized Mean ( 53 / 67 ) & 42.1907462686567 & 0.0138360946051595 & 3049.32478944773 \tabularnewline
Winsorized Mean ( 54 / 67 ) & 42.1907462686567 & 0.0138360946051595 & 3049.32478944773 \tabularnewline
Winsorized Mean ( 55 / 67 ) & 42.1907462686567 & 0.0138360946051595 & 3049.32478944773 \tabularnewline
Winsorized Mean ( 56 / 67 ) & 42.1350248756219 & 0.00903341623342545 & 4664.3510923048 \tabularnewline
Winsorized Mean ( 57 / 67 ) & 42.1350248756219 & 0.00903341623342545 & 4664.3510923048 \tabularnewline
Winsorized Mean ( 58 / 67 ) & 42.1350248756219 & 0.00903341623342545 & 4664.3510923048 \tabularnewline
Winsorized Mean ( 59 / 67 ) & 42.1350248756219 & 0.00903341623342545 & 4664.3510923048 \tabularnewline
Winsorized Mean ( 60 / 67 ) & 42.1350248756219 & 0.00903341623342545 & 4664.3510923048 \tabularnewline
Winsorized Mean ( 61 / 67 ) & 42.1350248756219 & 0.00903341623342545 & 4664.3510923048 \tabularnewline
Winsorized Mean ( 62 / 67 ) & 42.1350248756219 & 0.00903341623342545 & 4664.3510923048 \tabularnewline
Winsorized Mean ( 63 / 67 ) & 42.1350248756219 & 0.00903341623342545 & 4664.3510923048 \tabularnewline
Winsorized Mean ( 64 / 67 ) & 42.1636815920398 & 0.00634316261712779 & 6647.10715096434 \tabularnewline
Winsorized Mean ( 65 / 67 ) & 42.1636815920398 & 0.00634316261712779 & 6647.10715096434 \tabularnewline
Winsorized Mean ( 66 / 67 ) & 42.1636815920398 & 0.00634316261712779 & 6647.10715096434 \tabularnewline
Winsorized Mean ( 67 / 67 ) & 42.1636815920398 & 0.00634316261712779 & 6647.10715096434 \tabularnewline
Trimmed Mean ( 1 / 67 ) & 41.7753266331658 & 0.264466509672893 & 157.960744008139 \tabularnewline
Trimmed Mean ( 2 / 67 ) & 41.9571065989848 & 0.190144272510709 & 220.659323812247 \tabularnewline
Trimmed Mean ( 3 / 67 ) & 42.1426153846154 & 0.0245819211477231 & 1714.3743620103 \tabularnewline
Trimmed Mean ( 4 / 67 ) & 42.1437823834197 & 0.0242691859074399 & 1736.51405301157 \tabularnewline
Trimmed Mean ( 5 / 67 ) & 42.1449738219895 & 0.0239358095315541 & 1760.74988257367 \tabularnewline
Trimmed Mean ( 6 / 67 ) & 42.1461904761905 & 0.0235800491845237 & 1787.36652101016 \tabularnewline
Trimmed Mean ( 7 / 67 ) & 42.1474331550802 & 0.023199940661388 & 1816.70435154288 \tabularnewline
Trimmed Mean ( 8 / 67 ) & 42.1487027027027 & 0.0227932570949553 & 1849.17418897676 \tabularnewline
Trimmed Mean ( 9 / 67 ) & 42.15 & 0.0223574569623447 & 1885.27702730193 \tabularnewline
Trimmed Mean ( 10 / 67 ) & 42.1513259668508 & 0.0218896177278454 & 1925.63097679092 \tabularnewline
Trimmed Mean ( 11 / 67 ) & 42.1526815642458 & 0.0213863498607263 & 1971.00869661048 \tabularnewline
Trimmed Mean ( 12 / 67 ) & 42.1540677966102 & 0.0208436834996815 & 2022.39051448149 \tabularnewline
Trimmed Mean ( 13 / 67 ) & 42.1554857142857 & 0.0202569161205614 & 2081.04162861674 \tabularnewline
Trimmed Mean ( 14 / 67 ) & 42.156936416185 & 0.0196204031509812 & 2148.62743093415 \tabularnewline
Trimmed Mean ( 15 / 67 ) & 42.156936416185 & 0.0189272625809094 & 2227.31291627485 \tabularnewline
Trimmed Mean ( 16 / 67 ) & 42.1578698224852 & 0.0186139476787145 & 2264.85378331077 \tabularnewline
Trimmed Mean ( 17 / 67 ) & 42.1573053892216 & 0.0182767913441577 & 2306.60319940115 \tabularnewline
Trimmed Mean ( 18 / 67 ) & 42.1567272727273 & 0.0179133505351085 & 2353.36919188312 \tabularnewline
Trimmed Mean ( 19 / 67 ) & 42.1573006134969 & 0.0177201822114163 & 2379.05570668099 \tabularnewline
Trimmed Mean ( 20 / 67 ) & 42.1578881987578 & 0.0175120654808610 & 2407.36241220844 \tabularnewline
Trimmed Mean ( 21 / 67 ) & 42.1590566037736 & 0.0173592563771218 & 2428.62111647455 \tabularnewline
Trimmed Mean ( 22 / 67 ) & 42.1602547770701 & 0.0171936803649708 & 2452.07854759034 \tabularnewline
Trimmed Mean ( 23 / 67 ) & 42.1614838709677 & 0.0170141993358398 & 2478.01750988988 \tabularnewline
Trimmed Mean ( 24 / 67 ) & 42.1627450980392 & 0.0168195350814263 & 2506.77232717326 \tabularnewline
Trimmed Mean ( 25 / 67 ) & 42.1630463576159 & 0.0167743084795392 & 2513.54900317024 \tabularnewline
Trimmed Mean ( 26 / 67 ) & 42.163355704698 & 0.0167233902812268 & 2521.22057762590 \tabularnewline
Trimmed Mean ( 27 / 67 ) & 42.1636734693878 & 0.0166663167326938 & 2529.87352548488 \tabularnewline
Trimmed Mean ( 28 / 67 ) & 42.164 & 0.0166025779284342 & 2539.60560713817 \tabularnewline
Trimmed Mean ( 29 / 67 ) & 42.1643356643357 & 0.0165316119374030 & 2550.52779027181 \tabularnewline
Trimmed Mean ( 30 / 67 ) & 42.1643356643357 & 0.0164527979751358 & 2562.74560278783 \tabularnewline
Trimmed Mean ( 31 / 67 ) & 42.165035971223 & 0.0163654484267154 & 2576.46688754289 \tabularnewline
Trimmed Mean ( 32 / 67 ) & 42.165401459854 & 0.0162687994761386 & 2591.79551150643 \tabularnewline
Trimmed Mean ( 33 / 67 ) & 42.1657777777778 & 0.0161620000331315 & 2608.94553219525 \tabularnewline
Trimmed Mean ( 34 / 67 ) & 42.1661654135338 & 0.0160440985632451 & 2628.14175862338 \tabularnewline
Trimmed Mean ( 35 / 67 ) & 42.1665648854962 & 0.0159140273131702 & 2649.64763825684 \tabularnewline
Trimmed Mean ( 36 / 67 ) & 42.1669767441860 & 0.0157705832690752 & 2673.77407827850 \tabularnewline
Trimmed Mean ( 37 / 67 ) & 42.1674015748032 & 0.0156124049743042 & 2700.89083931685 \tabularnewline
Trimmed Mean ( 38 / 67 ) & 42.16784 & 0.0154379440382789 & 2731.44143387509 \tabularnewline
Trimmed Mean ( 39 / 67 ) & 42.1682926829268 & 0.0152454297515567 & 2765.9628734717 \tabularnewline
Trimmed Mean ( 40 / 67 ) & 42.1687603305785 & 0.0150328246210499 & 2805.11223895550 \tabularnewline
Trimmed Mean ( 41 / 67 ) & 42.169243697479 & 0.0147977677556207 & 2849.70303588267 \tabularnewline
Trimmed Mean ( 42 / 67 ) & 42.1697435897436 & 0.0145375017031354 & 2900.75588301728 \tabularnewline
Trimmed Mean ( 43 / 67 ) & 42.1702608695652 & 0.0142487762904473 & 2959.57070347417 \tabularnewline
Trimmed Mean ( 44 / 67 ) & 42.170796460177 & 0.0139277197663742 & 3027.83206207166 \tabularnewline
Trimmed Mean ( 45 / 67 ) & 42.1713513513514 & 0.013569662220718 & 3107.76721376046 \tabularnewline
Trimmed Mean ( 46 / 67 ) & 42.1719266055046 & 0.0131688871946712 & 3202.39105871978 \tabularnewline
Trimmed Mean ( 47 / 67 ) & 42.172523364486 & 0.0127182713167142 & 3315.90059012684 \tabularnewline
Trimmed Mean ( 48 / 67 ) & 42.1731428571429 & 0.0122087417531960 & 3454.33982548634 \tabularnewline
Trimmed Mean ( 49 / 67 ) & 42.172427184466 & 0.0119484472453399 & 3529.53202357855 \tabularnewline
Trimmed Mean ( 50 / 67 ) & 42.1716831683168 & 0.011655168663425 & 3618.28167280457 \tabularnewline
Trimmed Mean ( 51 / 67 ) & 42.1709090909091 & 0.0113235533023733 & 3724.17632211529 \tabularnewline
Trimmed Mean ( 52 / 67 ) & 42.1701030927835 & 0.0109468950521836 & 3852.24329746102 \tabularnewline
Trimmed Mean ( 53 / 67 ) & 42.1692631578947 & 0.0105166024613238 & 4009.78008943268 \tabularnewline
Trimmed Mean ( 54 / 67 ) & 42.1683870967742 & 0.0100213543881223 & 4207.85309685823 \tabularnewline
Trimmed Mean ( 55 / 67 ) & 42.1683870967742 & 0.00944567838801694 & 4464.30477140427 \tabularnewline
Trimmed Mean ( 56 / 67 ) & 42.1665168539326 & 0.00876736730195804 & 4809.48446684963 \tabularnewline
Trimmed Mean ( 57 / 67 ) & 42.167816091954 & 0.00857756297970726 & 4916.06021333966 \tabularnewline
Trimmed Mean ( 58 / 67 ) & 42.1691764705882 & 0.00835690520214193 & 5046.02785966508 \tabularnewline
Trimmed Mean ( 59 / 67 ) & 42.1706024096386 & 0.0080993489462203 & 5206.66570728727 \tabularnewline
Trimmed Mean ( 60 / 67 ) & 42.1706024096386 & 0.00779703182165245 & 5408.54563303568 \tabularnewline
Trimmed Mean ( 61 / 67 ) & 42.1736708860759 & 0.00743941714550135 & 5668.94826049358 \tabularnewline
Trimmed Mean ( 62 / 67 ) & 42.1753246753247 & 0.0070118160587962 & 6014.89319195937 \tabularnewline
Trimmed Mean ( 63 / 67 ) & 42.1770666666667 & 0.00649261072250551 & 6496.16440432309 \tabularnewline
Trimmed Mean ( 64 / 67 ) & 42.1789041095890 & 0.00584737918838345 & 7213.30065157784 \tabularnewline
Trimmed Mean ( 65 / 67 ) & 42.1795774647887 & 0.00561127285802922 & 7516.93573489901 \tabularnewline
Trimmed Mean ( 66 / 67 ) & 42.1802898550725 & 0.00532799317512703 & 7916.73120978928 \tabularnewline
Trimmed Mean ( 67 / 67 ) & 42.1810447761194 & 0.00498362006419903 & 8463.93670318821 \tabularnewline
Median & 42.17 &  &  \tabularnewline
Midrange & 23.87 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 42.2335338345865 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 42.2335338345865 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 42.2335338345865 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 42.2335338345865 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 42.2335338345865 &  &  \tabularnewline
Midmean - Closest Observation & 42.2335338345865 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 42.2335338345865 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 42.2335338345865 &  &  \tabularnewline
Number of observations & 201 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=98455&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]41.5971641791045[/C][C]0.319469822132366[/C][C]130.206865554486[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]40.8302079750825[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]37.9413956949818[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]41.8418004057429[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 67 )[/C][C]41.5971641791045[/C][C]0.319469822132366[/C][C]130.206865554486[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 67 )[/C][C]41.5971641791045[/C][C]0.319469822132366[/C][C]130.206865554486[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 67 )[/C][C]42.1392537313433[/C][C]0.0254110427966362[/C][C]1658.30477987788[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 67 )[/C][C]42.1392537313433[/C][C]0.0254110427966362[/C][C]1658.30477987789[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 67 )[/C][C]42.1392537313433[/C][C]0.0254110427966362[/C][C]1658.30477987789[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 67 )[/C][C]42.1392537313433[/C][C]0.0254110427966362[/C][C]1658.30477987789[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 67 )[/C][C]42.1392537313433[/C][C]0.0254110427966362[/C][C]1658.30477987789[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 67 )[/C][C]42.1392537313433[/C][C]0.0254110427966362[/C][C]1658.30477987789[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 67 )[/C][C]42.1392537313433[/C][C]0.0254110427966362[/C][C]1658.30477987789[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 67 )[/C][C]42.1392537313433[/C][C]0.0254110427966362[/C][C]1658.30477987789[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 67 )[/C][C]42.1392537313433[/C][C]0.0254110427966362[/C][C]1658.30477987789[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 67 )[/C][C]42.1392537313433[/C][C]0.0254110427966362[/C][C]1658.30477987789[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 67 )[/C][C]42.1392537313433[/C][C]0.0254110427966362[/C][C]1658.30477987789[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 67 )[/C][C]42.1392537313433[/C][C]0.0254110427966362[/C][C]1658.30477987789[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 67 )[/C][C]42.1653731343284[/C][C]0.0217723391397217[/C][C]1936.64873873847[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 67 )[/C][C]42.1653731343284[/C][C]0.0217723391397217[/C][C]1936.64873873847[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 67 )[/C][C]42.1653731343284[/C][C]0.0217723391397217[/C][C]1936.64873873847[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 67 )[/C][C]42.1483582089552[/C][C]0.0197731904336214[/C][C]2131.59117394066[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 67 )[/C][C]42.1483582089552[/C][C]0.0197731904336214[/C][C]2131.59117394066[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 67 )[/C][C]42.1394029850746[/C][C]0.0189377931372869[/C][C]2225.14855239948[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 67 )[/C][C]42.1394029850746[/C][C]0.0189377931372869[/C][C]2225.14855239948[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 67 )[/C][C]42.1394029850746[/C][C]0.0189377931372869[/C][C]2225.14855239948[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 67 )[/C][C]42.1394029850746[/C][C]0.0189377931372869[/C][C]2225.14855239948[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 67 )[/C][C]42.1573134328358[/C][C]0.0169232605488794[/C][C]2491.08694574979[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 67 )[/C][C]42.1907462686567[/C][C]0.0138360946051595[/C][C]3049.32478944773[/C][/ROW]
[ROW][C]Winsorized Mean ( 49 / 67 )[/C][C]42.1907462686567[/C][C]0.0138360946051595[/C][C]3049.32478944773[/C][/ROW]
[ROW][C]Winsorized Mean ( 50 / 67 )[/C][C]42.1907462686567[/C][C]0.0138360946051595[/C][C]3049.32478944773[/C][/ROW]
[ROW][C]Winsorized Mean ( 51 / 67 )[/C][C]42.1907462686567[/C][C]0.0138360946051595[/C][C]3049.32478944773[/C][/ROW]
[ROW][C]Winsorized Mean ( 52 / 67 )[/C][C]42.1907462686567[/C][C]0.0138360946051595[/C][C]3049.32478944773[/C][/ROW]
[ROW][C]Winsorized Mean ( 53 / 67 )[/C][C]42.1907462686567[/C][C]0.0138360946051595[/C][C]3049.32478944773[/C][/ROW]
[ROW][C]Winsorized Mean ( 54 / 67 )[/C][C]42.1907462686567[/C][C]0.0138360946051595[/C][C]3049.32478944773[/C][/ROW]
[ROW][C]Winsorized Mean ( 55 / 67 )[/C][C]42.1907462686567[/C][C]0.0138360946051595[/C][C]3049.32478944773[/C][/ROW]
[ROW][C]Winsorized Mean ( 56 / 67 )[/C][C]42.1350248756219[/C][C]0.00903341623342545[/C][C]4664.3510923048[/C][/ROW]
[ROW][C]Winsorized Mean ( 57 / 67 )[/C][C]42.1350248756219[/C][C]0.00903341623342545[/C][C]4664.3510923048[/C][/ROW]
[ROW][C]Winsorized Mean ( 58 / 67 )[/C][C]42.1350248756219[/C][C]0.00903341623342545[/C][C]4664.3510923048[/C][/ROW]
[ROW][C]Winsorized Mean ( 59 / 67 )[/C][C]42.1350248756219[/C][C]0.00903341623342545[/C][C]4664.3510923048[/C][/ROW]
[ROW][C]Winsorized Mean ( 60 / 67 )[/C][C]42.1350248756219[/C][C]0.00903341623342545[/C][C]4664.3510923048[/C][/ROW]
[ROW][C]Winsorized Mean ( 61 / 67 )[/C][C]42.1350248756219[/C][C]0.00903341623342545[/C][C]4664.3510923048[/C][/ROW]
[ROW][C]Winsorized Mean ( 62 / 67 )[/C][C]42.1350248756219[/C][C]0.00903341623342545[/C][C]4664.3510923048[/C][/ROW]
[ROW][C]Winsorized Mean ( 63 / 67 )[/C][C]42.1350248756219[/C][C]0.00903341623342545[/C][C]4664.3510923048[/C][/ROW]
[ROW][C]Winsorized Mean ( 64 / 67 )[/C][C]42.1636815920398[/C][C]0.00634316261712779[/C][C]6647.10715096434[/C][/ROW]
[ROW][C]Winsorized Mean ( 65 / 67 )[/C][C]42.1636815920398[/C][C]0.00634316261712779[/C][C]6647.10715096434[/C][/ROW]
[ROW][C]Winsorized Mean ( 66 / 67 )[/C][C]42.1636815920398[/C][C]0.00634316261712779[/C][C]6647.10715096434[/C][/ROW]
[ROW][C]Winsorized Mean ( 67 / 67 )[/C][C]42.1636815920398[/C][C]0.00634316261712779[/C][C]6647.10715096434[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 67 )[/C][C]41.7753266331658[/C][C]0.264466509672893[/C][C]157.960744008139[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 67 )[/C][C]41.9571065989848[/C][C]0.190144272510709[/C][C]220.659323812247[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 67 )[/C][C]42.1426153846154[/C][C]0.0245819211477231[/C][C]1714.3743620103[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 67 )[/C][C]42.1437823834197[/C][C]0.0242691859074399[/C][C]1736.51405301157[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 67 )[/C][C]42.1449738219895[/C][C]0.0239358095315541[/C][C]1760.74988257367[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 67 )[/C][C]42.1461904761905[/C][C]0.0235800491845237[/C][C]1787.36652101016[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 67 )[/C][C]42.1474331550802[/C][C]0.023199940661388[/C][C]1816.70435154288[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 67 )[/C][C]42.1487027027027[/C][C]0.0227932570949553[/C][C]1849.17418897676[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 67 )[/C][C]42.15[/C][C]0.0223574569623447[/C][C]1885.27702730193[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 67 )[/C][C]42.1513259668508[/C][C]0.0218896177278454[/C][C]1925.63097679092[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 67 )[/C][C]42.1526815642458[/C][C]0.0213863498607263[/C][C]1971.00869661048[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 67 )[/C][C]42.1540677966102[/C][C]0.0208436834996815[/C][C]2022.39051448149[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 67 )[/C][C]42.1554857142857[/C][C]0.0202569161205614[/C][C]2081.04162861674[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 67 )[/C][C]42.156936416185[/C][C]0.0196204031509812[/C][C]2148.62743093415[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 67 )[/C][C]42.156936416185[/C][C]0.0189272625809094[/C][C]2227.31291627485[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 67 )[/C][C]42.1578698224852[/C][C]0.0186139476787145[/C][C]2264.85378331077[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 67 )[/C][C]42.1573053892216[/C][C]0.0182767913441577[/C][C]2306.60319940115[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 67 )[/C][C]42.1567272727273[/C][C]0.0179133505351085[/C][C]2353.36919188312[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 67 )[/C][C]42.1573006134969[/C][C]0.0177201822114163[/C][C]2379.05570668099[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 67 )[/C][C]42.1578881987578[/C][C]0.0175120654808610[/C][C]2407.36241220844[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 67 )[/C][C]42.1590566037736[/C][C]0.0173592563771218[/C][C]2428.62111647455[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 67 )[/C][C]42.1602547770701[/C][C]0.0171936803649708[/C][C]2452.07854759034[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 67 )[/C][C]42.1614838709677[/C][C]0.0170141993358398[/C][C]2478.01750988988[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 67 )[/C][C]42.1627450980392[/C][C]0.0168195350814263[/C][C]2506.77232717326[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 67 )[/C][C]42.1630463576159[/C][C]0.0167743084795392[/C][C]2513.54900317024[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 67 )[/C][C]42.163355704698[/C][C]0.0167233902812268[/C][C]2521.22057762590[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 67 )[/C][C]42.1636734693878[/C][C]0.0166663167326938[/C][C]2529.87352548488[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 67 )[/C][C]42.164[/C][C]0.0166025779284342[/C][C]2539.60560713817[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 67 )[/C][C]42.1643356643357[/C][C]0.0165316119374030[/C][C]2550.52779027181[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 67 )[/C][C]42.1643356643357[/C][C]0.0164527979751358[/C][C]2562.74560278783[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 67 )[/C][C]42.165035971223[/C][C]0.0163654484267154[/C][C]2576.46688754289[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 67 )[/C][C]42.165401459854[/C][C]0.0162687994761386[/C][C]2591.79551150643[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 67 )[/C][C]42.1657777777778[/C][C]0.0161620000331315[/C][C]2608.94553219525[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 67 )[/C][C]42.1661654135338[/C][C]0.0160440985632451[/C][C]2628.14175862338[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 67 )[/C][C]42.1665648854962[/C][C]0.0159140273131702[/C][C]2649.64763825684[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 67 )[/C][C]42.1669767441860[/C][C]0.0157705832690752[/C][C]2673.77407827850[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 67 )[/C][C]42.1674015748032[/C][C]0.0156124049743042[/C][C]2700.89083931685[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 67 )[/C][C]42.16784[/C][C]0.0154379440382789[/C][C]2731.44143387509[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 67 )[/C][C]42.1682926829268[/C][C]0.0152454297515567[/C][C]2765.9628734717[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 67 )[/C][C]42.1687603305785[/C][C]0.0150328246210499[/C][C]2805.11223895550[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 67 )[/C][C]42.169243697479[/C][C]0.0147977677556207[/C][C]2849.70303588267[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 67 )[/C][C]42.1697435897436[/C][C]0.0145375017031354[/C][C]2900.75588301728[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 67 )[/C][C]42.1702608695652[/C][C]0.0142487762904473[/C][C]2959.57070347417[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 67 )[/C][C]42.170796460177[/C][C]0.0139277197663742[/C][C]3027.83206207166[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 67 )[/C][C]42.1713513513514[/C][C]0.013569662220718[/C][C]3107.76721376046[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 67 )[/C][C]42.1719266055046[/C][C]0.0131688871946712[/C][C]3202.39105871978[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 67 )[/C][C]42.172523364486[/C][C]0.0127182713167142[/C][C]3315.90059012684[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 67 )[/C][C]42.1731428571429[/C][C]0.0122087417531960[/C][C]3454.33982548634[/C][/ROW]
[ROW][C]Trimmed Mean ( 49 / 67 )[/C][C]42.172427184466[/C][C]0.0119484472453399[/C][C]3529.53202357855[/C][/ROW]
[ROW][C]Trimmed Mean ( 50 / 67 )[/C][C]42.1716831683168[/C][C]0.011655168663425[/C][C]3618.28167280457[/C][/ROW]
[ROW][C]Trimmed Mean ( 51 / 67 )[/C][C]42.1709090909091[/C][C]0.0113235533023733[/C][C]3724.17632211529[/C][/ROW]
[ROW][C]Trimmed Mean ( 52 / 67 )[/C][C]42.1701030927835[/C][C]0.0109468950521836[/C][C]3852.24329746102[/C][/ROW]
[ROW][C]Trimmed Mean ( 53 / 67 )[/C][C]42.1692631578947[/C][C]0.0105166024613238[/C][C]4009.78008943268[/C][/ROW]
[ROW][C]Trimmed Mean ( 54 / 67 )[/C][C]42.1683870967742[/C][C]0.0100213543881223[/C][C]4207.85309685823[/C][/ROW]
[ROW][C]Trimmed Mean ( 55 / 67 )[/C][C]42.1683870967742[/C][C]0.00944567838801694[/C][C]4464.30477140427[/C][/ROW]
[ROW][C]Trimmed Mean ( 56 / 67 )[/C][C]42.1665168539326[/C][C]0.00876736730195804[/C][C]4809.48446684963[/C][/ROW]
[ROW][C]Trimmed Mean ( 57 / 67 )[/C][C]42.167816091954[/C][C]0.00857756297970726[/C][C]4916.06021333966[/C][/ROW]
[ROW][C]Trimmed Mean ( 58 / 67 )[/C][C]42.1691764705882[/C][C]0.00835690520214193[/C][C]5046.02785966508[/C][/ROW]
[ROW][C]Trimmed Mean ( 59 / 67 )[/C][C]42.1706024096386[/C][C]0.0080993489462203[/C][C]5206.66570728727[/C][/ROW]
[ROW][C]Trimmed Mean ( 60 / 67 )[/C][C]42.1706024096386[/C][C]0.00779703182165245[/C][C]5408.54563303568[/C][/ROW]
[ROW][C]Trimmed Mean ( 61 / 67 )[/C][C]42.1736708860759[/C][C]0.00743941714550135[/C][C]5668.94826049358[/C][/ROW]
[ROW][C]Trimmed Mean ( 62 / 67 )[/C][C]42.1753246753247[/C][C]0.0070118160587962[/C][C]6014.89319195937[/C][/ROW]
[ROW][C]Trimmed Mean ( 63 / 67 )[/C][C]42.1770666666667[/C][C]0.00649261072250551[/C][C]6496.16440432309[/C][/ROW]
[ROW][C]Trimmed Mean ( 64 / 67 )[/C][C]42.1789041095890[/C][C]0.00584737918838345[/C][C]7213.30065157784[/C][/ROW]
[ROW][C]Trimmed Mean ( 65 / 67 )[/C][C]42.1795774647887[/C][C]0.00561127285802922[/C][C]7516.93573489901[/C][/ROW]
[ROW][C]Trimmed Mean ( 66 / 67 )[/C][C]42.1802898550725[/C][C]0.00532799317512703[/C][C]7916.73120978928[/C][/ROW]
[ROW][C]Trimmed Mean ( 67 / 67 )[/C][C]42.1810447761194[/C][C]0.00498362006419903[/C][C]8463.93670318821[/C][/ROW]
[ROW][C]Median[/C][C]42.17[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]23.87[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]42.2335338345865[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]42.2335338345865[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]42.2335338345865[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]42.2335338345865[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]42.2335338345865[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]42.2335338345865[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]42.2335338345865[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]42.2335338345865[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]201[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=98455&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=98455&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean41.59716417910450.319469822132366130.206865554486
Geometric Mean40.8302079750825
Harmonic Mean37.9413956949818
Quadratic Mean41.8418004057429
Winsorized Mean ( 1 / 67 )41.59716417910450.319469822132366130.206865554486
Winsorized Mean ( 2 / 67 )41.59716417910450.319469822132366130.206865554486
Winsorized Mean ( 3 / 67 )42.13925373134330.02541104279663621658.30477987788
Winsorized Mean ( 4 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 5 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 6 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 7 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 8 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 9 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 10 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 11 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 12 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 13 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 14 / 67 )42.13925373134330.02541104279663621658.30477987789
Winsorized Mean ( 15 / 67 )42.16537313432840.02177233913972171936.64873873847
Winsorized Mean ( 16 / 67 )42.16537313432840.02177233913972171936.64873873847
Winsorized Mean ( 17 / 67 )42.16537313432840.02177233913972171936.64873873847
Winsorized Mean ( 18 / 67 )42.14835820895520.01977319043362142131.59117394066
Winsorized Mean ( 19 / 67 )42.14835820895520.01977319043362142131.59117394066
Winsorized Mean ( 20 / 67 )42.13940298507460.01893779313728692225.14855239948
Winsorized Mean ( 21 / 67 )42.13940298507460.01893779313728692225.14855239948
Winsorized Mean ( 22 / 67 )42.13940298507460.01893779313728692225.14855239948
Winsorized Mean ( 23 / 67 )42.13940298507460.01893779313728692225.14855239948
Winsorized Mean ( 24 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 25 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 26 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 27 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 28 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 29 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 30 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 31 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 32 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 33 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 34 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 35 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 36 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 37 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 38 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 39 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 40 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 41 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 42 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 43 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 44 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 45 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 46 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 47 / 67 )42.15731343283580.01692326054887942491.08694574979
Winsorized Mean ( 48 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 49 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 50 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 51 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 52 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 53 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 54 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 55 / 67 )42.19074626865670.01383609460515953049.32478944773
Winsorized Mean ( 56 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 57 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 58 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 59 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 60 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 61 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 62 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 63 / 67 )42.13502487562190.009033416233425454664.3510923048
Winsorized Mean ( 64 / 67 )42.16368159203980.006343162617127796647.10715096434
Winsorized Mean ( 65 / 67 )42.16368159203980.006343162617127796647.10715096434
Winsorized Mean ( 66 / 67 )42.16368159203980.006343162617127796647.10715096434
Winsorized Mean ( 67 / 67 )42.16368159203980.006343162617127796647.10715096434
Trimmed Mean ( 1 / 67 )41.77532663316580.264466509672893157.960744008139
Trimmed Mean ( 2 / 67 )41.95710659898480.190144272510709220.659323812247
Trimmed Mean ( 3 / 67 )42.14261538461540.02458192114772311714.3743620103
Trimmed Mean ( 4 / 67 )42.14378238341970.02426918590743991736.51405301157
Trimmed Mean ( 5 / 67 )42.14497382198950.02393580953155411760.74988257367
Trimmed Mean ( 6 / 67 )42.14619047619050.02358004918452371787.36652101016
Trimmed Mean ( 7 / 67 )42.14743315508020.0231999406613881816.70435154288
Trimmed Mean ( 8 / 67 )42.14870270270270.02279325709495531849.17418897676
Trimmed Mean ( 9 / 67 )42.150.02235745696234471885.27702730193
Trimmed Mean ( 10 / 67 )42.15132596685080.02188961772784541925.63097679092
Trimmed Mean ( 11 / 67 )42.15268156424580.02138634986072631971.00869661048
Trimmed Mean ( 12 / 67 )42.15406779661020.02084368349968152022.39051448149
Trimmed Mean ( 13 / 67 )42.15548571428570.02025691612056142081.04162861674
Trimmed Mean ( 14 / 67 )42.1569364161850.01962040315098122148.62743093415
Trimmed Mean ( 15 / 67 )42.1569364161850.01892726258090942227.31291627485
Trimmed Mean ( 16 / 67 )42.15786982248520.01861394767871452264.85378331077
Trimmed Mean ( 17 / 67 )42.15730538922160.01827679134415772306.60319940115
Trimmed Mean ( 18 / 67 )42.15672727272730.01791335053510852353.36919188312
Trimmed Mean ( 19 / 67 )42.15730061349690.01772018221141632379.05570668099
Trimmed Mean ( 20 / 67 )42.15788819875780.01751206548086102407.36241220844
Trimmed Mean ( 21 / 67 )42.15905660377360.01735925637712182428.62111647455
Trimmed Mean ( 22 / 67 )42.16025477707010.01719368036497082452.07854759034
Trimmed Mean ( 23 / 67 )42.16148387096770.01701419933583982478.01750988988
Trimmed Mean ( 24 / 67 )42.16274509803920.01681953508142632506.77232717326
Trimmed Mean ( 25 / 67 )42.16304635761590.01677430847953922513.54900317024
Trimmed Mean ( 26 / 67 )42.1633557046980.01672339028122682521.22057762590
Trimmed Mean ( 27 / 67 )42.16367346938780.01666631673269382529.87352548488
Trimmed Mean ( 28 / 67 )42.1640.01660257792843422539.60560713817
Trimmed Mean ( 29 / 67 )42.16433566433570.01653161193740302550.52779027181
Trimmed Mean ( 30 / 67 )42.16433566433570.01645279797513582562.74560278783
Trimmed Mean ( 31 / 67 )42.1650359712230.01636544842671542576.46688754289
Trimmed Mean ( 32 / 67 )42.1654014598540.01626879947613862591.79551150643
Trimmed Mean ( 33 / 67 )42.16577777777780.01616200003313152608.94553219525
Trimmed Mean ( 34 / 67 )42.16616541353380.01604409856324512628.14175862338
Trimmed Mean ( 35 / 67 )42.16656488549620.01591402731317022649.64763825684
Trimmed Mean ( 36 / 67 )42.16697674418600.01577058326907522673.77407827850
Trimmed Mean ( 37 / 67 )42.16740157480320.01561240497430422700.89083931685
Trimmed Mean ( 38 / 67 )42.167840.01543794403827892731.44143387509
Trimmed Mean ( 39 / 67 )42.16829268292680.01524542975155672765.9628734717
Trimmed Mean ( 40 / 67 )42.16876033057850.01503282462104992805.11223895550
Trimmed Mean ( 41 / 67 )42.1692436974790.01479776775562072849.70303588267
Trimmed Mean ( 42 / 67 )42.16974358974360.01453750170313542900.75588301728
Trimmed Mean ( 43 / 67 )42.17026086956520.01424877629044732959.57070347417
Trimmed Mean ( 44 / 67 )42.1707964601770.01392771976637423027.83206207166
Trimmed Mean ( 45 / 67 )42.17135135135140.0135696622207183107.76721376046
Trimmed Mean ( 46 / 67 )42.17192660550460.01316888719467123202.39105871978
Trimmed Mean ( 47 / 67 )42.1725233644860.01271827131671423315.90059012684
Trimmed Mean ( 48 / 67 )42.17314285714290.01220874175319603454.33982548634
Trimmed Mean ( 49 / 67 )42.1724271844660.01194844724533993529.53202357855
Trimmed Mean ( 50 / 67 )42.17168316831680.0116551686634253618.28167280457
Trimmed Mean ( 51 / 67 )42.17090909090910.01132355330237333724.17632211529
Trimmed Mean ( 52 / 67 )42.17010309278350.01094689505218363852.24329746102
Trimmed Mean ( 53 / 67 )42.16926315789470.01051660246132384009.78008943268
Trimmed Mean ( 54 / 67 )42.16838709677420.01002135438812234207.85309685823
Trimmed Mean ( 55 / 67 )42.16838709677420.009445678388016944464.30477140427
Trimmed Mean ( 56 / 67 )42.16651685393260.008767367301958044809.48446684963
Trimmed Mean ( 57 / 67 )42.1678160919540.008577562979707264916.06021333966
Trimmed Mean ( 58 / 67 )42.16917647058820.008356905202141935046.02785966508
Trimmed Mean ( 59 / 67 )42.17060240963860.00809934894622035206.66570728727
Trimmed Mean ( 60 / 67 )42.17060240963860.007797031821652455408.54563303568
Trimmed Mean ( 61 / 67 )42.17367088607590.007439417145501355668.94826049358
Trimmed Mean ( 62 / 67 )42.17532467532470.00701181605879626014.89319195937
Trimmed Mean ( 63 / 67 )42.17706666666670.006492610722505516496.16440432309
Trimmed Mean ( 64 / 67 )42.17890410958900.005847379188383457213.30065157784
Trimmed Mean ( 65 / 67 )42.17957746478870.005611272858029227516.93573489901
Trimmed Mean ( 66 / 67 )42.18028985507250.005327993175127037916.73120978928
Trimmed Mean ( 67 / 67 )42.18104477611940.004983620064199038463.93670318821
Median42.17
Midrange23.87
Midmean - Weighted Average at Xnp42.2335338345865
Midmean - Weighted Average at X(n+1)p42.2335338345865
Midmean - Empirical Distribution Function42.2335338345865
Midmean - Empirical Distribution Function - Averaging42.2335338345865
Midmean - Empirical Distribution Function - Interpolation42.2335338345865
Midmean - Closest Observation42.2335338345865
Midmean - True Basic - Statistics Graphics Toolkit42.2335338345865
Midmean - MS Excel (old versions)42.2335338345865
Number of observations201


Figures (Output of Computation)

Input Parameters & R Code

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')