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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, 15 Dec 2014 20:15:16 +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/2014/Dec/15/t1418674534onykh7cksgylwna.htm/, Retrieved Thu, 16 May 2024 09:56:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268987, Retrieved Thu, 16 May 2024 09:56:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact90

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi-squared test] [2014-11-02 11:21:00] [5c51c91cab622bcf955f01721b682696]
- R  D  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:26:49] [e493208d2907342b139e6792bbaea494]
-    D    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:30:24] [e493208d2907342b139e6792bbaea494]
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:36:06] [e493208d2907342b139e6792bbaea494]
-    D        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:38:19] [e493208d2907342b139e6792bbaea494]
-    D          [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:39:21] [e493208d2907342b139e6792bbaea494]
-    D            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:40:38] [e493208d2907342b139e6792bbaea494]
-    D              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:43:34] [e493208d2907342b139e6792bbaea494]
-    D                [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:53:25] [e493208d2907342b139e6792bbaea494]
-    D                  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:54:41] [e493208d2907342b139e6792bbaea494]
-    D                    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:55:52] [e493208d2907342b139e6792bbaea494]
-    D                      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:56:38] [e493208d2907342b139e6792bbaea494]
-    D                        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:59:28] [e493208d2907342b139e6792bbaea494]
-    D                          [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:00:52] [e493208d2907342b139e6792bbaea494]
-    D                            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:02:37] [e493208d2907342b139e6792bbaea494]
-    D                              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:03:31] [e493208d2907342b139e6792bbaea494]
-    D                                [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:04:30] [e493208d2907342b139e6792bbaea494]
-    D                                  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:05:26] [e493208d2907342b139e6792bbaea494]
-    D                                    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:06:29] [e493208d2907342b139e6792bbaea494]
-    D                                      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:07:30] [e493208d2907342b139e6792bbaea494]
-    D                                        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:08:04] [e493208d2907342b139e6792bbaea494]
- RM D                                            [Central Tendency] [] [2014-12-15 20:15:16] [04df4205f362f56e0d1a9032a00a5d3d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1.28304
-4.07599
-3.83222
-0.350144
1.20135
-0.0667887
-4.21137
-0.356061
-5.96156
-0.018959
-0.180716
-2.17211
-4.2813
1.74166
3.20255
0.325122
-1.62823
2.65272
-0.407988
-4.47005
-1.95515
-3.22642
-1.26505
-1.47806
0.416235
-1.90053
-4.55881
-1.08626
2.12154
-0.288062
0.845055
-0.277039
-3.75684
0.944402
-0.39865
-4.93102
-0.973059
1.00294
0.878257
-1.96247
3.28582
1.97119
-1.5913
3.68836
-1.63803
1.47918
2.77153
2.91951
-3.74395
1.53879
-3.53341
-4.57851
0.440684
0.244912
1.97145
-5.04085
-0.383556
-4.08197
-3.06089
0.390992
2.46221
-3.32081
-0.460858
-1.77741
-1.4174
2.47161
0.819445
-4.56408
0.708549
2.13578
2.45397
2.07242
-3.14284
-1.37117
3.49141
-3.45337
-0.855516
0.655022
-2.93071
2.4823
1.64265
1.51948
1.6376
0.223778
0.672923
-1.66849
3.24127
-4.37808
-1.33124
0.342586
3.68954
0.351137
0.721155
-0.410376
1.36605
1.9079
1.63738
2.38628
0.299193
2.62286
-1.34078
3.4852
1.5913
3.76942
0.324402
1.58661
-0.258342
-0.258342
2.99772
-0.526386
1.35678
1.63522
-1.70238
-0.196345
0.619085
2.44857
-1.55574
0.77316
2.59439
1.77795
-0.502878
-2.81035
2.69761
0.681744
1.54592
2.42431
1.76803
-1.0059
2.29527
2.66626
1.15795
0.995714
1.33018
4.08608
2.60479
1.81996
-0.990341
-1.14096
-5.38397
-2.86053
-1.58579
-0.374066
2.83363
3.18841
1.00601
0.2084
0.027632
-1.14647
-1.83044
1.42046
-1.02488
-1.85487
-4.52657
1.5913
-1.17243
2.83363
0.509481
3.85775
1.32649
0.642627
1.97274
-0.929458

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268987&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268987&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268987&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean1.9320987654581e-070.182651816719021.05780429681152e-06
Geometric MeanNaN
Harmonic Mean-6.80216866519299
Quadratic Mean2.31759173934326
Winsorized Mean ( 1 / 54 )0.002156119135802480.1817714662686650.0118617029397543
Winsorized Mean ( 2 / 54 )0.005301674691358030.1808722572594840.0293117074541294
Winsorized Mean ( 3 / 54 )0.005856304320987650.1803336611620240.0324748262928347
Winsorized Mean ( 4 / 54 )0.01453111913580250.1788957610948460.081226738112025
Winsorized Mean ( 5 / 54 )0.008897785802469160.1780678054436160.0499685262043992
Winsorized Mean ( 6 / 54 )0.008862970987654330.1780087656101120.0497895199558132
Winsorized Mean ( 7 / 54 )0.001640872222222220.176767243023450.00928267134881171
Winsorized Mean ( 8 / 54 )0.002231983333333360.1760723933174050.0126765093112001
Winsorized Mean ( 9 / 54 )0.00519031666666670.1750270104930180.0296543753563896
Winsorized Mean ( 10 / 54 )0.01029155123456790.1740057492120830.0591448919427615
Winsorized Mean ( 11 / 54 )0.00209179814814820.171844850736880.0121725971955427
Winsorized Mean ( 12 / 54 )0.005883650000000010.1697757227461090.0346554260222394
Winsorized Mean ( 13 / 54 )-0.0005280783950617090.168977603688171-0.00312513838245817
Winsorized Mean ( 14 / 54 )0.02053846481481480.165879588913420.123815503458564
Winsorized Mean ( 15 / 54 )0.02176809444444440.1642757793656320.13250945774541
Winsorized Mean ( 16 / 54 )0.01574044012345680.1633420326953930.0963649090421828
Winsorized Mean ( 17 / 54 )0.03454432901234570.1598952343159150.216043518495956
Winsorized Mean ( 18 / 54 )0.04193321790123460.158516046988160.264536106583372
Winsorized Mean ( 19 / 54 )0.05397827962962970.1560488686756290.34590625416088
Winsorized Mean ( 20 / 54 )0.06340050185185180.1542661967420910.410981168854817
Winsorized Mean ( 21 / 54 )0.07288679814814820.1527019191165050.477314224797257
Winsorized Mean ( 22 / 54 )0.06879371172839510.1497085926872990.459517456503561
Winsorized Mean ( 23 / 54 )0.08575834135802470.1471796833384910.582677849365891
Winsorized Mean ( 24 / 54 )0.09476278580246920.1457226860674870.65029535455161
Winsorized Mean ( 25 / 54 )0.1012350080246910.1446223826602850.699995437514609
Winsorized Mean ( 26 / 54 )0.2028019216049380.1323912146272361.53183821279948
Winsorized Mean ( 27 / 54 )0.2336985882716050.1281561914203781.82354504828429
Winsorized Mean ( 28 / 54 )0.2283906870370370.1273265791476761.79373928496221
Winsorized Mean ( 29 / 54 )0.2218764277777780.1245888528117651.78086901653231
Winsorized Mean ( 30 / 54 )0.2007967981481480.1206964124587371.66365175283727
Winsorized Mean ( 31 / 54 )0.2027467364197530.1199319494517731.69051480732648
Winsorized Mean ( 32 / 54 )0.2035190820987650.1178738203218211.72658425376487
Winsorized Mean ( 33 / 54 )0.1984977858024690.1143077582633091.7365206773212
Winsorized Mean ( 34 / 54 )0.2053397611111110.1135497674257231.80836795852911
Winsorized Mean ( 35 / 54 )0.2118644524691360.1128721076344011.87703106559661
Winsorized Mean ( 36 / 54 )0.1999777858024690.1112990247605361.79676134838314
Winsorized Mean ( 37 / 54 )0.1883273537037040.1085442125979861.73502897295142
Winsorized Mean ( 38 / 54 )0.1797656253086420.1074974483521141.67227806859014
Winsorized Mean ( 39 / 54 )0.1846117364197530.1065409595079921.73277711475749
Winsorized Mean ( 40 / 54 )0.1972808722222220.1040075212447391.8967942881554
Winsorized Mean ( 41 / 54 )0.1875750080246910.100189483884691.87220255811055
Winsorized Mean ( 42 / 54 )0.1982513043209880.09888416924476832.00488415724316
Winsorized Mean ( 43 / 54 )0.2062593907407410.09808616485743962.1028387748723
Winsorized Mean ( 44 / 54 )0.2082638351851850.09777937831927812.12993617636986
Winsorized Mean ( 45 / 54 )0.2144499462962960.09488717471236642.26005197168493
Winsorized Mean ( 46 / 54 )0.2407494524691360.09236370466344872.60653742015188
Winsorized Mean ( 47 / 54 )0.2469203783950620.09152609361059872.69781401843275
Winsorized Mean ( 48 / 54 )0.2364966746913580.09028041204652582.61957903525606
Winsorized Mean ( 49 / 54 )0.2508851314814820.08852568618454272.83403769340438
Winsorized Mean ( 50 / 54 )0.2638696993827160.08621867260005583.06047044596399
Winsorized Mean ( 51 / 54 )0.2571578475308640.08452049047549663.04255034588822
Winsorized Mean ( 52 / 54 )0.2433036993827160.08237348781442272.9536651395756
Winsorized Mean ( 53 / 54 )0.2311568845679010.08027545984750152.87954606559748
Winsorized Mean ( 54 / 54 )0.2426005512345680.07865414692025873.0843961918565
Trimmed Mean ( 1 / 54 )0.0117219456250.1793025957395460.0653752143222023
Trimmed Mean ( 2 / 54 )0.02152994493670890.1766367514207490.121888252379736
Trimmed Mean ( 3 / 54 )0.02995616217948720.1742614329654990.171903568504559
Trimmed Mean ( 4 / 54 )0.03840676168831170.1719015369393960.223423026763583
Trimmed Mean ( 5 / 54 )0.04476836381578950.1697824416444190.263680763347422
Trimmed Mean ( 6 / 54 )0.05251640866666670.1676907647114670.313174125939658
Trimmed Mean ( 7 / 54 )0.06048021148648650.1654343024810970.365584468151017
Trimmed Mean ( 8 / 54 )0.06980699520547940.1632182137494290.42769120922158
Trimmed Mean ( 9 / 54 )0.079309731250.1609284988716290.492825893524705
Trimmed Mean ( 10 / 54 )0.088705150.158603647454560.559288209468284
Trimmed Mean ( 11 / 54 )0.09777872357142860.1562239266566660.62588827245597
Trimmed Mean ( 12 / 54 )0.107990371739130.1539264131300970.701571416777302
Trimmed Mean ( 13 / 54 )0.1181259654411760.1516919674093210.778722614378313
Trimmed Mean ( 14 / 54 )0.1291603828358210.1493431979051430.864856147769505
Trimmed Mean ( 15 / 54 )0.1386824340909090.1471591521465140.942397615561379
Trimmed Mean ( 16 / 54 )0.1483953176923080.1449514396024211.02375884019733
Trimmed Mean ( 17 / 54 )0.158888525781250.1426276763565711.11400907481677
Trimmed Mean ( 18 / 54 )0.1682927087301590.1404661312761531.19810168615878
Trimmed Mean ( 19 / 54 )0.1774639620967740.1382375224194851.28376115971072
Trimmed Mean ( 20 / 54 )0.1860941090163930.136048528737891.36785094806075
Trimmed Mean ( 21 / 54 )0.19437592750.1338215683230951.45250074360737
Trimmed Mean ( 22 / 54 )0.2023183161016950.1315242184243361.53825902579369
Trimmed Mean ( 23 / 54 )0.2107944077586210.1292840303888941.63047521897746
Trimmed Mean ( 24 / 54 )0.2185197482456140.1270637519568471.71976464475743
Trimmed Mean ( 25 / 54 )0.2259783151785710.1247460433953491.81150687450979
Trimmed Mean ( 26 / 54 )0.233326830.1222776370287091.90817254626223
Trimmed Mean ( 27 / 54 )0.2350878824074070.1207806629276471.94640331249246
Trimmed Mean ( 28 / 54 )0.2351665216981130.1195065512022171.96781280467368
Trimmed Mean ( 29 / 54 )0.2355434740384620.1181494016269661.99360699923089
Trimmed Mean ( 30 / 54 )0.2362919735294120.1168764838754742.02172383780101
Trimmed Mean ( 31 / 54 )0.2382087130.1157954912023142.05715015780545
Trimmed Mean ( 32 / 54 )0.2400997071428570.1146342731341982.09448449035641
Trimmed Mean ( 33 / 54 )0.2420287635416670.1135020689519682.13237314329564
Trimmed Mean ( 34 / 54 )0.2443021414893620.1125370528611082.17085959937904
Trimmed Mean ( 35 / 54 )0.2463200141304350.1114940251511462.20926649474277
Trimmed Mean ( 36 / 54 )0.2480920144444440.1103537657605142.24815177565254
Trimmed Mean ( 37 / 54 )0.2505524011363640.1091846198260092.29475911108753
Trimmed Mean ( 38 / 54 )0.2537203639534880.1080944293464392.34721035568192
Trimmed Mean ( 39 / 54 )0.2574737059523810.1069210970846932.40807205474551
Trimmed Mean ( 40 / 54 )0.261164650.1056475895111992.4720360512562
Trimmed Mean ( 41 / 54 )0.264398766250.1044246599037622.53195716886863
Trimmed Mean ( 42 / 54 )0.2682904012820510.1033788926107052.59521450178765
Trimmed Mean ( 43 / 54 )0.2718450171052630.1022754247807642.65797006160557
Trimmed Mean ( 44 / 54 )0.2751840716216220.1010472981797912.72331944127782
Trimmed Mean ( 45 / 54 )0.2786061291666670.09961416849214792.79685242956807
Trimmed Mean ( 46 / 54 )0.281905590.09824493557091372.86941599953027
Trimmed Mean ( 47 / 54 )0.2840370779411760.09691189972981032.93087927006972
Trimmed Mean ( 48 / 54 )0.2859754742424240.09540280937901822.99755820718335
Trimmed Mean ( 49 / 54 )0.28858470781250.09372980632575693.07890007592171
Trimmed Mean ( 50 / 54 )0.2905950209677420.0919395184057563.16071941648923
Trimmed Mean ( 51 / 54 )0.2920381883333330.09008473041127743.24181675407194
Trimmed Mean ( 52 / 54 )0.2939484706896550.08805530689021853.33822549793768
Trimmed Mean ( 53 / 54 )0.2967659339285710.08587778720922853.45567746413337
Trimmed Mean ( 54 / 54 )0.3004796537037040.08350802240628543.59821302247827
Median0.333854
Midrange-0.93774
Midmean - Weighted Average at Xnp0.24288692962963
Midmean - Weighted Average at X(n+1)p0.26116465
Midmean - Empirical Distribution Function0.26116465
Midmean - Empirical Distribution Function - Averaging0.26116465
Midmean - Empirical Distribution Function - Interpolation0.26439876625
Midmean - Closest Observation0.26116465
Midmean - True Basic - Statistics Graphics Toolkit0.26116465
Midmean - MS Excel (old versions)0.26116465
Number of observations162

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 1.9320987654581e-07 & 0.18265181671902 & 1.05780429681152e-06 \tabularnewline
Geometric Mean & NaN &  &  \tabularnewline
Harmonic Mean & -6.80216866519299 &  &  \tabularnewline
Quadratic Mean & 2.31759173934326 &  &  \tabularnewline
Winsorized Mean ( 1 / 54 ) & 0.00215611913580248 & 0.181771466268665 & 0.0118617029397543 \tabularnewline
Winsorized Mean ( 2 / 54 ) & 0.00530167469135803 & 0.180872257259484 & 0.0293117074541294 \tabularnewline
Winsorized Mean ( 3 / 54 ) & 0.00585630432098765 & 0.180333661162024 & 0.0324748262928347 \tabularnewline
Winsorized Mean ( 4 / 54 ) & 0.0145311191358025 & 0.178895761094846 & 0.081226738112025 \tabularnewline
Winsorized Mean ( 5 / 54 ) & 0.00889778580246916 & 0.178067805443616 & 0.0499685262043992 \tabularnewline
Winsorized Mean ( 6 / 54 ) & 0.00886297098765433 & 0.178008765610112 & 0.0497895199558132 \tabularnewline
Winsorized Mean ( 7 / 54 ) & 0.00164087222222222 & 0.17676724302345 & 0.00928267134881171 \tabularnewline
Winsorized Mean ( 8 / 54 ) & 0.00223198333333336 & 0.176072393317405 & 0.0126765093112001 \tabularnewline
Winsorized Mean ( 9 / 54 ) & 0.0051903166666667 & 0.175027010493018 & 0.0296543753563896 \tabularnewline
Winsorized Mean ( 10 / 54 ) & 0.0102915512345679 & 0.174005749212083 & 0.0591448919427615 \tabularnewline
Winsorized Mean ( 11 / 54 ) & 0.0020917981481482 & 0.17184485073688 & 0.0121725971955427 \tabularnewline
Winsorized Mean ( 12 / 54 ) & 0.00588365000000001 & 0.169775722746109 & 0.0346554260222394 \tabularnewline
Winsorized Mean ( 13 / 54 ) & -0.000528078395061709 & 0.168977603688171 & -0.00312513838245817 \tabularnewline
Winsorized Mean ( 14 / 54 ) & 0.0205384648148148 & 0.16587958891342 & 0.123815503458564 \tabularnewline
Winsorized Mean ( 15 / 54 ) & 0.0217680944444444 & 0.164275779365632 & 0.13250945774541 \tabularnewline
Winsorized Mean ( 16 / 54 ) & 0.0157404401234568 & 0.163342032695393 & 0.0963649090421828 \tabularnewline
Winsorized Mean ( 17 / 54 ) & 0.0345443290123457 & 0.159895234315915 & 0.216043518495956 \tabularnewline
Winsorized Mean ( 18 / 54 ) & 0.0419332179012346 & 0.15851604698816 & 0.264536106583372 \tabularnewline
Winsorized Mean ( 19 / 54 ) & 0.0539782796296297 & 0.156048868675629 & 0.34590625416088 \tabularnewline
Winsorized Mean ( 20 / 54 ) & 0.0634005018518518 & 0.154266196742091 & 0.410981168854817 \tabularnewline
Winsorized Mean ( 21 / 54 ) & 0.0728867981481482 & 0.152701919116505 & 0.477314224797257 \tabularnewline
Winsorized Mean ( 22 / 54 ) & 0.0687937117283951 & 0.149708592687299 & 0.459517456503561 \tabularnewline
Winsorized Mean ( 23 / 54 ) & 0.0857583413580247 & 0.147179683338491 & 0.582677849365891 \tabularnewline
Winsorized Mean ( 24 / 54 ) & 0.0947627858024692 & 0.145722686067487 & 0.65029535455161 \tabularnewline
Winsorized Mean ( 25 / 54 ) & 0.101235008024691 & 0.144622382660285 & 0.699995437514609 \tabularnewline
Winsorized Mean ( 26 / 54 ) & 0.202801921604938 & 0.132391214627236 & 1.53183821279948 \tabularnewline
Winsorized Mean ( 27 / 54 ) & 0.233698588271605 & 0.128156191420378 & 1.82354504828429 \tabularnewline
Winsorized Mean ( 28 / 54 ) & 0.228390687037037 & 0.127326579147676 & 1.79373928496221 \tabularnewline
Winsorized Mean ( 29 / 54 ) & 0.221876427777778 & 0.124588852811765 & 1.78086901653231 \tabularnewline
Winsorized Mean ( 30 / 54 ) & 0.200796798148148 & 0.120696412458737 & 1.66365175283727 \tabularnewline
Winsorized Mean ( 31 / 54 ) & 0.202746736419753 & 0.119931949451773 & 1.69051480732648 \tabularnewline
Winsorized Mean ( 32 / 54 ) & 0.203519082098765 & 0.117873820321821 & 1.72658425376487 \tabularnewline
Winsorized Mean ( 33 / 54 ) & 0.198497785802469 & 0.114307758263309 & 1.7365206773212 \tabularnewline
Winsorized Mean ( 34 / 54 ) & 0.205339761111111 & 0.113549767425723 & 1.80836795852911 \tabularnewline
Winsorized Mean ( 35 / 54 ) & 0.211864452469136 & 0.112872107634401 & 1.87703106559661 \tabularnewline
Winsorized Mean ( 36 / 54 ) & 0.199977785802469 & 0.111299024760536 & 1.79676134838314 \tabularnewline
Winsorized Mean ( 37 / 54 ) & 0.188327353703704 & 0.108544212597986 & 1.73502897295142 \tabularnewline
Winsorized Mean ( 38 / 54 ) & 0.179765625308642 & 0.107497448352114 & 1.67227806859014 \tabularnewline
Winsorized Mean ( 39 / 54 ) & 0.184611736419753 & 0.106540959507992 & 1.73277711475749 \tabularnewline
Winsorized Mean ( 40 / 54 ) & 0.197280872222222 & 0.104007521244739 & 1.8967942881554 \tabularnewline
Winsorized Mean ( 41 / 54 ) & 0.187575008024691 & 0.10018948388469 & 1.87220255811055 \tabularnewline
Winsorized Mean ( 42 / 54 ) & 0.198251304320988 & 0.0988841692447683 & 2.00488415724316 \tabularnewline
Winsorized Mean ( 43 / 54 ) & 0.206259390740741 & 0.0980861648574396 & 2.1028387748723 \tabularnewline
Winsorized Mean ( 44 / 54 ) & 0.208263835185185 & 0.0977793783192781 & 2.12993617636986 \tabularnewline
Winsorized Mean ( 45 / 54 ) & 0.214449946296296 & 0.0948871747123664 & 2.26005197168493 \tabularnewline
Winsorized Mean ( 46 / 54 ) & 0.240749452469136 & 0.0923637046634487 & 2.60653742015188 \tabularnewline
Winsorized Mean ( 47 / 54 ) & 0.246920378395062 & 0.0915260936105987 & 2.69781401843275 \tabularnewline
Winsorized Mean ( 48 / 54 ) & 0.236496674691358 & 0.0902804120465258 & 2.61957903525606 \tabularnewline
Winsorized Mean ( 49 / 54 ) & 0.250885131481482 & 0.0885256861845427 & 2.83403769340438 \tabularnewline
Winsorized Mean ( 50 / 54 ) & 0.263869699382716 & 0.0862186726000558 & 3.06047044596399 \tabularnewline
Winsorized Mean ( 51 / 54 ) & 0.257157847530864 & 0.0845204904754966 & 3.04255034588822 \tabularnewline
Winsorized Mean ( 52 / 54 ) & 0.243303699382716 & 0.0823734878144227 & 2.9536651395756 \tabularnewline
Winsorized Mean ( 53 / 54 ) & 0.231156884567901 & 0.0802754598475015 & 2.87954606559748 \tabularnewline
Winsorized Mean ( 54 / 54 ) & 0.242600551234568 & 0.0786541469202587 & 3.0843961918565 \tabularnewline
Trimmed Mean ( 1 / 54 ) & 0.011721945625 & 0.179302595739546 & 0.0653752143222023 \tabularnewline
Trimmed Mean ( 2 / 54 ) & 0.0215299449367089 & 0.176636751420749 & 0.121888252379736 \tabularnewline
Trimmed Mean ( 3 / 54 ) & 0.0299561621794872 & 0.174261432965499 & 0.171903568504559 \tabularnewline
Trimmed Mean ( 4 / 54 ) & 0.0384067616883117 & 0.171901536939396 & 0.223423026763583 \tabularnewline
Trimmed Mean ( 5 / 54 ) & 0.0447683638157895 & 0.169782441644419 & 0.263680763347422 \tabularnewline
Trimmed Mean ( 6 / 54 ) & 0.0525164086666667 & 0.167690764711467 & 0.313174125939658 \tabularnewline
Trimmed Mean ( 7 / 54 ) & 0.0604802114864865 & 0.165434302481097 & 0.365584468151017 \tabularnewline
Trimmed Mean ( 8 / 54 ) & 0.0698069952054794 & 0.163218213749429 & 0.42769120922158 \tabularnewline
Trimmed Mean ( 9 / 54 ) & 0.07930973125 & 0.160928498871629 & 0.492825893524705 \tabularnewline
Trimmed Mean ( 10 / 54 ) & 0.08870515 & 0.15860364745456 & 0.559288209468284 \tabularnewline
Trimmed Mean ( 11 / 54 ) & 0.0977787235714286 & 0.156223926656666 & 0.62588827245597 \tabularnewline
Trimmed Mean ( 12 / 54 ) & 0.10799037173913 & 0.153926413130097 & 0.701571416777302 \tabularnewline
Trimmed Mean ( 13 / 54 ) & 0.118125965441176 & 0.151691967409321 & 0.778722614378313 \tabularnewline
Trimmed Mean ( 14 / 54 ) & 0.129160382835821 & 0.149343197905143 & 0.864856147769505 \tabularnewline
Trimmed Mean ( 15 / 54 ) & 0.138682434090909 & 0.147159152146514 & 0.942397615561379 \tabularnewline
Trimmed Mean ( 16 / 54 ) & 0.148395317692308 & 0.144951439602421 & 1.02375884019733 \tabularnewline
Trimmed Mean ( 17 / 54 ) & 0.15888852578125 & 0.142627676356571 & 1.11400907481677 \tabularnewline
Trimmed Mean ( 18 / 54 ) & 0.168292708730159 & 0.140466131276153 & 1.19810168615878 \tabularnewline
Trimmed Mean ( 19 / 54 ) & 0.177463962096774 & 0.138237522419485 & 1.28376115971072 \tabularnewline
Trimmed Mean ( 20 / 54 ) & 0.186094109016393 & 0.13604852873789 & 1.36785094806075 \tabularnewline
Trimmed Mean ( 21 / 54 ) & 0.1943759275 & 0.133821568323095 & 1.45250074360737 \tabularnewline
Trimmed Mean ( 22 / 54 ) & 0.202318316101695 & 0.131524218424336 & 1.53825902579369 \tabularnewline
Trimmed Mean ( 23 / 54 ) & 0.210794407758621 & 0.129284030388894 & 1.63047521897746 \tabularnewline
Trimmed Mean ( 24 / 54 ) & 0.218519748245614 & 0.127063751956847 & 1.71976464475743 \tabularnewline
Trimmed Mean ( 25 / 54 ) & 0.225978315178571 & 0.124746043395349 & 1.81150687450979 \tabularnewline
Trimmed Mean ( 26 / 54 ) & 0.23332683 & 0.122277637028709 & 1.90817254626223 \tabularnewline
Trimmed Mean ( 27 / 54 ) & 0.235087882407407 & 0.120780662927647 & 1.94640331249246 \tabularnewline
Trimmed Mean ( 28 / 54 ) & 0.235166521698113 & 0.119506551202217 & 1.96781280467368 \tabularnewline
Trimmed Mean ( 29 / 54 ) & 0.235543474038462 & 0.118149401626966 & 1.99360699923089 \tabularnewline
Trimmed Mean ( 30 / 54 ) & 0.236291973529412 & 0.116876483875474 & 2.02172383780101 \tabularnewline
Trimmed Mean ( 31 / 54 ) & 0.238208713 & 0.115795491202314 & 2.05715015780545 \tabularnewline
Trimmed Mean ( 32 / 54 ) & 0.240099707142857 & 0.114634273134198 & 2.09448449035641 \tabularnewline
Trimmed Mean ( 33 / 54 ) & 0.242028763541667 & 0.113502068951968 & 2.13237314329564 \tabularnewline
Trimmed Mean ( 34 / 54 ) & 0.244302141489362 & 0.112537052861108 & 2.17085959937904 \tabularnewline
Trimmed Mean ( 35 / 54 ) & 0.246320014130435 & 0.111494025151146 & 2.20926649474277 \tabularnewline
Trimmed Mean ( 36 / 54 ) & 0.248092014444444 & 0.110353765760514 & 2.24815177565254 \tabularnewline
Trimmed Mean ( 37 / 54 ) & 0.250552401136364 & 0.109184619826009 & 2.29475911108753 \tabularnewline
Trimmed Mean ( 38 / 54 ) & 0.253720363953488 & 0.108094429346439 & 2.34721035568192 \tabularnewline
Trimmed Mean ( 39 / 54 ) & 0.257473705952381 & 0.106921097084693 & 2.40807205474551 \tabularnewline
Trimmed Mean ( 40 / 54 ) & 0.26116465 & 0.105647589511199 & 2.4720360512562 \tabularnewline
Trimmed Mean ( 41 / 54 ) & 0.26439876625 & 0.104424659903762 & 2.53195716886863 \tabularnewline
Trimmed Mean ( 42 / 54 ) & 0.268290401282051 & 0.103378892610705 & 2.59521450178765 \tabularnewline
Trimmed Mean ( 43 / 54 ) & 0.271845017105263 & 0.102275424780764 & 2.65797006160557 \tabularnewline
Trimmed Mean ( 44 / 54 ) & 0.275184071621622 & 0.101047298179791 & 2.72331944127782 \tabularnewline
Trimmed Mean ( 45 / 54 ) & 0.278606129166667 & 0.0996141684921479 & 2.79685242956807 \tabularnewline
Trimmed Mean ( 46 / 54 ) & 0.28190559 & 0.0982449355709137 & 2.86941599953027 \tabularnewline
Trimmed Mean ( 47 / 54 ) & 0.284037077941176 & 0.0969118997298103 & 2.93087927006972 \tabularnewline
Trimmed Mean ( 48 / 54 ) & 0.285975474242424 & 0.0954028093790182 & 2.99755820718335 \tabularnewline
Trimmed Mean ( 49 / 54 ) & 0.2885847078125 & 0.0937298063257569 & 3.07890007592171 \tabularnewline
Trimmed Mean ( 50 / 54 ) & 0.290595020967742 & 0.091939518405756 & 3.16071941648923 \tabularnewline
Trimmed Mean ( 51 / 54 ) & 0.292038188333333 & 0.0900847304112774 & 3.24181675407194 \tabularnewline
Trimmed Mean ( 52 / 54 ) & 0.293948470689655 & 0.0880553068902185 & 3.33822549793768 \tabularnewline
Trimmed Mean ( 53 / 54 ) & 0.296765933928571 & 0.0858777872092285 & 3.45567746413337 \tabularnewline
Trimmed Mean ( 54 / 54 ) & 0.300479653703704 & 0.0835080224062854 & 3.59821302247827 \tabularnewline
Median & 0.333854 &  &  \tabularnewline
Midrange & -0.93774 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 0.24288692962963 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 0.26116465 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 0.26116465 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 0.26116465 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 0.26439876625 &  &  \tabularnewline
Midmean - Closest Observation & 0.26116465 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 0.26116465 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 0.26116465 &  &  \tabularnewline
Number of observations & 162 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268987&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]1.9320987654581e-07[/C][C]0.18265181671902[/C][C]1.05780429681152e-06[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]NaN[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]-6.80216866519299[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]2.31759173934326[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 54 )[/C][C]0.00215611913580248[/C][C]0.181771466268665[/C][C]0.0118617029397543[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 54 )[/C][C]0.00530167469135803[/C][C]0.180872257259484[/C][C]0.0293117074541294[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 54 )[/C][C]0.00585630432098765[/C][C]0.180333661162024[/C][C]0.0324748262928347[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 54 )[/C][C]0.0145311191358025[/C][C]0.178895761094846[/C][C]0.081226738112025[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 54 )[/C][C]0.00889778580246916[/C][C]0.178067805443616[/C][C]0.0499685262043992[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 54 )[/C][C]0.00886297098765433[/C][C]0.178008765610112[/C][C]0.0497895199558132[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 54 )[/C][C]0.00164087222222222[/C][C]0.17676724302345[/C][C]0.00928267134881171[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 54 )[/C][C]0.00223198333333336[/C][C]0.176072393317405[/C][C]0.0126765093112001[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 54 )[/C][C]0.0051903166666667[/C][C]0.175027010493018[/C][C]0.0296543753563896[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 54 )[/C][C]0.0102915512345679[/C][C]0.174005749212083[/C][C]0.0591448919427615[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 54 )[/C][C]0.0020917981481482[/C][C]0.17184485073688[/C][C]0.0121725971955427[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 54 )[/C][C]0.00588365000000001[/C][C]0.169775722746109[/C][C]0.0346554260222394[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 54 )[/C][C]-0.000528078395061709[/C][C]0.168977603688171[/C][C]-0.00312513838245817[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 54 )[/C][C]0.0205384648148148[/C][C]0.16587958891342[/C][C]0.123815503458564[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 54 )[/C][C]0.0217680944444444[/C][C]0.164275779365632[/C][C]0.13250945774541[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 54 )[/C][C]0.0157404401234568[/C][C]0.163342032695393[/C][C]0.0963649090421828[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 54 )[/C][C]0.0345443290123457[/C][C]0.159895234315915[/C][C]0.216043518495956[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 54 )[/C][C]0.0419332179012346[/C][C]0.15851604698816[/C][C]0.264536106583372[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 54 )[/C][C]0.0539782796296297[/C][C]0.156048868675629[/C][C]0.34590625416088[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 54 )[/C][C]0.0634005018518518[/C][C]0.154266196742091[/C][C]0.410981168854817[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 54 )[/C][C]0.0728867981481482[/C][C]0.152701919116505[/C][C]0.477314224797257[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 54 )[/C][C]0.0687937117283951[/C][C]0.149708592687299[/C][C]0.459517456503561[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 54 )[/C][C]0.0857583413580247[/C][C]0.147179683338491[/C][C]0.582677849365891[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 54 )[/C][C]0.0947627858024692[/C][C]0.145722686067487[/C][C]0.65029535455161[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 54 )[/C][C]0.101235008024691[/C][C]0.144622382660285[/C][C]0.699995437514609[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 54 )[/C][C]0.202801921604938[/C][C]0.132391214627236[/C][C]1.53183821279948[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 54 )[/C][C]0.233698588271605[/C][C]0.128156191420378[/C][C]1.82354504828429[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 54 )[/C][C]0.228390687037037[/C][C]0.127326579147676[/C][C]1.79373928496221[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 54 )[/C][C]0.221876427777778[/C][C]0.124588852811765[/C][C]1.78086901653231[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 54 )[/C][C]0.200796798148148[/C][C]0.120696412458737[/C][C]1.66365175283727[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 54 )[/C][C]0.202746736419753[/C][C]0.119931949451773[/C][C]1.69051480732648[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 54 )[/C][C]0.203519082098765[/C][C]0.117873820321821[/C][C]1.72658425376487[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 54 )[/C][C]0.198497785802469[/C][C]0.114307758263309[/C][C]1.7365206773212[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 54 )[/C][C]0.205339761111111[/C][C]0.113549767425723[/C][C]1.80836795852911[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 54 )[/C][C]0.211864452469136[/C][C]0.112872107634401[/C][C]1.87703106559661[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 54 )[/C][C]0.199977785802469[/C][C]0.111299024760536[/C][C]1.79676134838314[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 54 )[/C][C]0.188327353703704[/C][C]0.108544212597986[/C][C]1.73502897295142[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 54 )[/C][C]0.179765625308642[/C][C]0.107497448352114[/C][C]1.67227806859014[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 54 )[/C][C]0.184611736419753[/C][C]0.106540959507992[/C][C]1.73277711475749[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 54 )[/C][C]0.197280872222222[/C][C]0.104007521244739[/C][C]1.8967942881554[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 54 )[/C][C]0.187575008024691[/C][C]0.10018948388469[/C][C]1.87220255811055[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 54 )[/C][C]0.198251304320988[/C][C]0.0988841692447683[/C][C]2.00488415724316[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 54 )[/C][C]0.206259390740741[/C][C]0.0980861648574396[/C][C]2.1028387748723[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 54 )[/C][C]0.208263835185185[/C][C]0.0977793783192781[/C][C]2.12993617636986[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 54 )[/C][C]0.214449946296296[/C][C]0.0948871747123664[/C][C]2.26005197168493[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 54 )[/C][C]0.240749452469136[/C][C]0.0923637046634487[/C][C]2.60653742015188[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 54 )[/C][C]0.246920378395062[/C][C]0.0915260936105987[/C][C]2.69781401843275[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 54 )[/C][C]0.236496674691358[/C][C]0.0902804120465258[/C][C]2.61957903525606[/C][/ROW]
[ROW][C]Winsorized Mean ( 49 / 54 )[/C][C]0.250885131481482[/C][C]0.0885256861845427[/C][C]2.83403769340438[/C][/ROW]
[ROW][C]Winsorized Mean ( 50 / 54 )[/C][C]0.263869699382716[/C][C]0.0862186726000558[/C][C]3.06047044596399[/C][/ROW]
[ROW][C]Winsorized Mean ( 51 / 54 )[/C][C]0.257157847530864[/C][C]0.0845204904754966[/C][C]3.04255034588822[/C][/ROW]
[ROW][C]Winsorized Mean ( 52 / 54 )[/C][C]0.243303699382716[/C][C]0.0823734878144227[/C][C]2.9536651395756[/C][/ROW]
[ROW][C]Winsorized Mean ( 53 / 54 )[/C][C]0.231156884567901[/C][C]0.0802754598475015[/C][C]2.87954606559748[/C][/ROW]
[ROW][C]Winsorized Mean ( 54 / 54 )[/C][C]0.242600551234568[/C][C]0.0786541469202587[/C][C]3.0843961918565[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 54 )[/C][C]0.011721945625[/C][C]0.179302595739546[/C][C]0.0653752143222023[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 54 )[/C][C]0.0215299449367089[/C][C]0.176636751420749[/C][C]0.121888252379736[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 54 )[/C][C]0.0299561621794872[/C][C]0.174261432965499[/C][C]0.171903568504559[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 54 )[/C][C]0.0384067616883117[/C][C]0.171901536939396[/C][C]0.223423026763583[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 54 )[/C][C]0.0447683638157895[/C][C]0.169782441644419[/C][C]0.263680763347422[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 54 )[/C][C]0.0525164086666667[/C][C]0.167690764711467[/C][C]0.313174125939658[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 54 )[/C][C]0.0604802114864865[/C][C]0.165434302481097[/C][C]0.365584468151017[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 54 )[/C][C]0.0698069952054794[/C][C]0.163218213749429[/C][C]0.42769120922158[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 54 )[/C][C]0.07930973125[/C][C]0.160928498871629[/C][C]0.492825893524705[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 54 )[/C][C]0.08870515[/C][C]0.15860364745456[/C][C]0.559288209468284[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 54 )[/C][C]0.0977787235714286[/C][C]0.156223926656666[/C][C]0.62588827245597[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 54 )[/C][C]0.10799037173913[/C][C]0.153926413130097[/C][C]0.701571416777302[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 54 )[/C][C]0.118125965441176[/C][C]0.151691967409321[/C][C]0.778722614378313[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 54 )[/C][C]0.129160382835821[/C][C]0.149343197905143[/C][C]0.864856147769505[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 54 )[/C][C]0.138682434090909[/C][C]0.147159152146514[/C][C]0.942397615561379[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 54 )[/C][C]0.148395317692308[/C][C]0.144951439602421[/C][C]1.02375884019733[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 54 )[/C][C]0.15888852578125[/C][C]0.142627676356571[/C][C]1.11400907481677[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 54 )[/C][C]0.168292708730159[/C][C]0.140466131276153[/C][C]1.19810168615878[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 54 )[/C][C]0.177463962096774[/C][C]0.138237522419485[/C][C]1.28376115971072[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 54 )[/C][C]0.186094109016393[/C][C]0.13604852873789[/C][C]1.36785094806075[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 54 )[/C][C]0.1943759275[/C][C]0.133821568323095[/C][C]1.45250074360737[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 54 )[/C][C]0.202318316101695[/C][C]0.131524218424336[/C][C]1.53825902579369[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 54 )[/C][C]0.210794407758621[/C][C]0.129284030388894[/C][C]1.63047521897746[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 54 )[/C][C]0.218519748245614[/C][C]0.127063751956847[/C][C]1.71976464475743[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 54 )[/C][C]0.225978315178571[/C][C]0.124746043395349[/C][C]1.81150687450979[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 54 )[/C][C]0.23332683[/C][C]0.122277637028709[/C][C]1.90817254626223[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 54 )[/C][C]0.235087882407407[/C][C]0.120780662927647[/C][C]1.94640331249246[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 54 )[/C][C]0.235166521698113[/C][C]0.119506551202217[/C][C]1.96781280467368[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 54 )[/C][C]0.235543474038462[/C][C]0.118149401626966[/C][C]1.99360699923089[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 54 )[/C][C]0.236291973529412[/C][C]0.116876483875474[/C][C]2.02172383780101[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 54 )[/C][C]0.238208713[/C][C]0.115795491202314[/C][C]2.05715015780545[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 54 )[/C][C]0.240099707142857[/C][C]0.114634273134198[/C][C]2.09448449035641[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 54 )[/C][C]0.242028763541667[/C][C]0.113502068951968[/C][C]2.13237314329564[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 54 )[/C][C]0.244302141489362[/C][C]0.112537052861108[/C][C]2.17085959937904[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 54 )[/C][C]0.246320014130435[/C][C]0.111494025151146[/C][C]2.20926649474277[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 54 )[/C][C]0.248092014444444[/C][C]0.110353765760514[/C][C]2.24815177565254[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 54 )[/C][C]0.250552401136364[/C][C]0.109184619826009[/C][C]2.29475911108753[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 54 )[/C][C]0.253720363953488[/C][C]0.108094429346439[/C][C]2.34721035568192[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 54 )[/C][C]0.257473705952381[/C][C]0.106921097084693[/C][C]2.40807205474551[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 54 )[/C][C]0.26116465[/C][C]0.105647589511199[/C][C]2.4720360512562[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 54 )[/C][C]0.26439876625[/C][C]0.104424659903762[/C][C]2.53195716886863[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 54 )[/C][C]0.268290401282051[/C][C]0.103378892610705[/C][C]2.59521450178765[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 54 )[/C][C]0.271845017105263[/C][C]0.102275424780764[/C][C]2.65797006160557[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 54 )[/C][C]0.275184071621622[/C][C]0.101047298179791[/C][C]2.72331944127782[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 54 )[/C][C]0.278606129166667[/C][C]0.0996141684921479[/C][C]2.79685242956807[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 54 )[/C][C]0.28190559[/C][C]0.0982449355709137[/C][C]2.86941599953027[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 54 )[/C][C]0.284037077941176[/C][C]0.0969118997298103[/C][C]2.93087927006972[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 54 )[/C][C]0.285975474242424[/C][C]0.0954028093790182[/C][C]2.99755820718335[/C][/ROW]
[ROW][C]Trimmed Mean ( 49 / 54 )[/C][C]0.2885847078125[/C][C]0.0937298063257569[/C][C]3.07890007592171[/C][/ROW]
[ROW][C]Trimmed Mean ( 50 / 54 )[/C][C]0.290595020967742[/C][C]0.091939518405756[/C][C]3.16071941648923[/C][/ROW]
[ROW][C]Trimmed Mean ( 51 / 54 )[/C][C]0.292038188333333[/C][C]0.0900847304112774[/C][C]3.24181675407194[/C][/ROW]
[ROW][C]Trimmed Mean ( 52 / 54 )[/C][C]0.293948470689655[/C][C]0.0880553068902185[/C][C]3.33822549793768[/C][/ROW]
[ROW][C]Trimmed Mean ( 53 / 54 )[/C][C]0.296765933928571[/C][C]0.0858777872092285[/C][C]3.45567746413337[/C][/ROW]
[ROW][C]Trimmed Mean ( 54 / 54 )[/C][C]0.300479653703704[/C][C]0.0835080224062854[/C][C]3.59821302247827[/C][/ROW]
[ROW][C]Median[/C][C]0.333854[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]-0.93774[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]0.24288692962963[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]0.26116465[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]0.26116465[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]0.26116465[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]0.26439876625[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]0.26116465[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]0.26116465[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]0.26116465[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]162[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268987&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268987&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 Mean1.9320987654581e-070.182651816719021.05780429681152e-06
Geometric MeanNaN
Harmonic Mean-6.80216866519299
Quadratic Mean2.31759173934326
Winsorized Mean ( 1 / 54 )0.002156119135802480.1817714662686650.0118617029397543
Winsorized Mean ( 2 / 54 )0.005301674691358030.1808722572594840.0293117074541294
Winsorized Mean ( 3 / 54 )0.005856304320987650.1803336611620240.0324748262928347
Winsorized Mean ( 4 / 54 )0.01453111913580250.1788957610948460.081226738112025
Winsorized Mean ( 5 / 54 )0.008897785802469160.1780678054436160.0499685262043992
Winsorized Mean ( 6 / 54 )0.008862970987654330.1780087656101120.0497895199558132
Winsorized Mean ( 7 / 54 )0.001640872222222220.176767243023450.00928267134881171
Winsorized Mean ( 8 / 54 )0.002231983333333360.1760723933174050.0126765093112001
Winsorized Mean ( 9 / 54 )0.00519031666666670.1750270104930180.0296543753563896
Winsorized Mean ( 10 / 54 )0.01029155123456790.1740057492120830.0591448919427615
Winsorized Mean ( 11 / 54 )0.00209179814814820.171844850736880.0121725971955427
Winsorized Mean ( 12 / 54 )0.005883650000000010.1697757227461090.0346554260222394
Winsorized Mean ( 13 / 54 )-0.0005280783950617090.168977603688171-0.00312513838245817
Winsorized Mean ( 14 / 54 )0.02053846481481480.165879588913420.123815503458564
Winsorized Mean ( 15 / 54 )0.02176809444444440.1642757793656320.13250945774541
Winsorized Mean ( 16 / 54 )0.01574044012345680.1633420326953930.0963649090421828
Winsorized Mean ( 17 / 54 )0.03454432901234570.1598952343159150.216043518495956
Winsorized Mean ( 18 / 54 )0.04193321790123460.158516046988160.264536106583372
Winsorized Mean ( 19 / 54 )0.05397827962962970.1560488686756290.34590625416088
Winsorized Mean ( 20 / 54 )0.06340050185185180.1542661967420910.410981168854817
Winsorized Mean ( 21 / 54 )0.07288679814814820.1527019191165050.477314224797257
Winsorized Mean ( 22 / 54 )0.06879371172839510.1497085926872990.459517456503561
Winsorized Mean ( 23 / 54 )0.08575834135802470.1471796833384910.582677849365891
Winsorized Mean ( 24 / 54 )0.09476278580246920.1457226860674870.65029535455161
Winsorized Mean ( 25 / 54 )0.1012350080246910.1446223826602850.699995437514609
Winsorized Mean ( 26 / 54 )0.2028019216049380.1323912146272361.53183821279948
Winsorized Mean ( 27 / 54 )0.2336985882716050.1281561914203781.82354504828429
Winsorized Mean ( 28 / 54 )0.2283906870370370.1273265791476761.79373928496221
Winsorized Mean ( 29 / 54 )0.2218764277777780.1245888528117651.78086901653231
Winsorized Mean ( 30 / 54 )0.2007967981481480.1206964124587371.66365175283727
Winsorized Mean ( 31 / 54 )0.2027467364197530.1199319494517731.69051480732648
Winsorized Mean ( 32 / 54 )0.2035190820987650.1178738203218211.72658425376487
Winsorized Mean ( 33 / 54 )0.1984977858024690.1143077582633091.7365206773212
Winsorized Mean ( 34 / 54 )0.2053397611111110.1135497674257231.80836795852911
Winsorized Mean ( 35 / 54 )0.2118644524691360.1128721076344011.87703106559661
Winsorized Mean ( 36 / 54 )0.1999777858024690.1112990247605361.79676134838314
Winsorized Mean ( 37 / 54 )0.1883273537037040.1085442125979861.73502897295142
Winsorized Mean ( 38 / 54 )0.1797656253086420.1074974483521141.67227806859014
Winsorized Mean ( 39 / 54 )0.1846117364197530.1065409595079921.73277711475749
Winsorized Mean ( 40 / 54 )0.1972808722222220.1040075212447391.8967942881554
Winsorized Mean ( 41 / 54 )0.1875750080246910.100189483884691.87220255811055
Winsorized Mean ( 42 / 54 )0.1982513043209880.09888416924476832.00488415724316
Winsorized Mean ( 43 / 54 )0.2062593907407410.09808616485743962.1028387748723
Winsorized Mean ( 44 / 54 )0.2082638351851850.09777937831927812.12993617636986
Winsorized Mean ( 45 / 54 )0.2144499462962960.09488717471236642.26005197168493
Winsorized Mean ( 46 / 54 )0.2407494524691360.09236370466344872.60653742015188
Winsorized Mean ( 47 / 54 )0.2469203783950620.09152609361059872.69781401843275
Winsorized Mean ( 48 / 54 )0.2364966746913580.09028041204652582.61957903525606
Winsorized Mean ( 49 / 54 )0.2508851314814820.08852568618454272.83403769340438
Winsorized Mean ( 50 / 54 )0.2638696993827160.08621867260005583.06047044596399
Winsorized Mean ( 51 / 54 )0.2571578475308640.08452049047549663.04255034588822
Winsorized Mean ( 52 / 54 )0.2433036993827160.08237348781442272.9536651395756
Winsorized Mean ( 53 / 54 )0.2311568845679010.08027545984750152.87954606559748
Winsorized Mean ( 54 / 54 )0.2426005512345680.07865414692025873.0843961918565
Trimmed Mean ( 1 / 54 )0.0117219456250.1793025957395460.0653752143222023
Trimmed Mean ( 2 / 54 )0.02152994493670890.1766367514207490.121888252379736
Trimmed Mean ( 3 / 54 )0.02995616217948720.1742614329654990.171903568504559
Trimmed Mean ( 4 / 54 )0.03840676168831170.1719015369393960.223423026763583
Trimmed Mean ( 5 / 54 )0.04476836381578950.1697824416444190.263680763347422
Trimmed Mean ( 6 / 54 )0.05251640866666670.1676907647114670.313174125939658
Trimmed Mean ( 7 / 54 )0.06048021148648650.1654343024810970.365584468151017
Trimmed Mean ( 8 / 54 )0.06980699520547940.1632182137494290.42769120922158
Trimmed Mean ( 9 / 54 )0.079309731250.1609284988716290.492825893524705
Trimmed Mean ( 10 / 54 )0.088705150.158603647454560.559288209468284
Trimmed Mean ( 11 / 54 )0.09777872357142860.1562239266566660.62588827245597
Trimmed Mean ( 12 / 54 )0.107990371739130.1539264131300970.701571416777302
Trimmed Mean ( 13 / 54 )0.1181259654411760.1516919674093210.778722614378313
Trimmed Mean ( 14 / 54 )0.1291603828358210.1493431979051430.864856147769505
Trimmed Mean ( 15 / 54 )0.1386824340909090.1471591521465140.942397615561379
Trimmed Mean ( 16 / 54 )0.1483953176923080.1449514396024211.02375884019733
Trimmed Mean ( 17 / 54 )0.158888525781250.1426276763565711.11400907481677
Trimmed Mean ( 18 / 54 )0.1682927087301590.1404661312761531.19810168615878
Trimmed Mean ( 19 / 54 )0.1774639620967740.1382375224194851.28376115971072
Trimmed Mean ( 20 / 54 )0.1860941090163930.136048528737891.36785094806075
Trimmed Mean ( 21 / 54 )0.19437592750.1338215683230951.45250074360737
Trimmed Mean ( 22 / 54 )0.2023183161016950.1315242184243361.53825902579369
Trimmed Mean ( 23 / 54 )0.2107944077586210.1292840303888941.63047521897746
Trimmed Mean ( 24 / 54 )0.2185197482456140.1270637519568471.71976464475743
Trimmed Mean ( 25 / 54 )0.2259783151785710.1247460433953491.81150687450979
Trimmed Mean ( 26 / 54 )0.233326830.1222776370287091.90817254626223
Trimmed Mean ( 27 / 54 )0.2350878824074070.1207806629276471.94640331249246
Trimmed Mean ( 28 / 54 )0.2351665216981130.1195065512022171.96781280467368
Trimmed Mean ( 29 / 54 )0.2355434740384620.1181494016269661.99360699923089
Trimmed Mean ( 30 / 54 )0.2362919735294120.1168764838754742.02172383780101
Trimmed Mean ( 31 / 54 )0.2382087130.1157954912023142.05715015780545
Trimmed Mean ( 32 / 54 )0.2400997071428570.1146342731341982.09448449035641
Trimmed Mean ( 33 / 54 )0.2420287635416670.1135020689519682.13237314329564
Trimmed Mean ( 34 / 54 )0.2443021414893620.1125370528611082.17085959937904
Trimmed Mean ( 35 / 54 )0.2463200141304350.1114940251511462.20926649474277
Trimmed Mean ( 36 / 54 )0.2480920144444440.1103537657605142.24815177565254
Trimmed Mean ( 37 / 54 )0.2505524011363640.1091846198260092.29475911108753
Trimmed Mean ( 38 / 54 )0.2537203639534880.1080944293464392.34721035568192
Trimmed Mean ( 39 / 54 )0.2574737059523810.1069210970846932.40807205474551
Trimmed Mean ( 40 / 54 )0.261164650.1056475895111992.4720360512562
Trimmed Mean ( 41 / 54 )0.264398766250.1044246599037622.53195716886863
Trimmed Mean ( 42 / 54 )0.2682904012820510.1033788926107052.59521450178765
Trimmed Mean ( 43 / 54 )0.2718450171052630.1022754247807642.65797006160557
Trimmed Mean ( 44 / 54 )0.2751840716216220.1010472981797912.72331944127782
Trimmed Mean ( 45 / 54 )0.2786061291666670.09961416849214792.79685242956807
Trimmed Mean ( 46 / 54 )0.281905590.09824493557091372.86941599953027
Trimmed Mean ( 47 / 54 )0.2840370779411760.09691189972981032.93087927006972
Trimmed Mean ( 48 / 54 )0.2859754742424240.09540280937901822.99755820718335
Trimmed Mean ( 49 / 54 )0.28858470781250.09372980632575693.07890007592171
Trimmed Mean ( 50 / 54 )0.2905950209677420.0919395184057563.16071941648923
Trimmed Mean ( 51 / 54 )0.2920381883333330.09008473041127743.24181675407194
Trimmed Mean ( 52 / 54 )0.2939484706896550.08805530689021853.33822549793768
Trimmed Mean ( 53 / 54 )0.2967659339285710.08587778720922853.45567746413337
Trimmed Mean ( 54 / 54 )0.3004796537037040.08350802240628543.59821302247827
Median0.333854
Midrange-0.93774
Midmean - Weighted Average at Xnp0.24288692962963
Midmean - Weighted Average at X(n+1)p0.26116465
Midmean - Empirical Distribution Function0.26116465
Midmean - Empirical Distribution Function - Averaging0.26116465
Midmean - Empirical Distribution Function - Interpolation0.26439876625
Midmean - Closest Observation0.26116465
Midmean - True Basic - Statistics Graphics Toolkit0.26116465
Midmean - MS Excel (old versions)0.26116465
Number of observations162


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
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')