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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationSun, 14 Mar 2010 09:42:43 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Mar/14/t1268581468m39jfpx8ns9y4ac.htm/, Retrieved Wed, 19 Jan 2022 11:35:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=74394, Retrieved Wed, 19 Jan 2022 11:35:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP1W52
Estimated Impact131
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [Iko - Paper - Ish...] [2010-03-14 15:42:43] [032b0bef6ff10258e637998f9273e57a] [Current]
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Dataseries X:
121,67
121,65
121,61
121,5
121,41
121,41
121,4
121,38
121,34
121,19
120,96
120,96
120,96
120,9
120,86
120,73
120,53
120,53
120,53
120,52
120,51
120,43
120,29
120,27
120,27
120,24
120,21
120,06
119,86
119,85
119,85
119,83
119,71
119,57
119,2
119,13
119,13
119,09
118,9
118,54
118,12
118,11
118,1
118,08
117,91
117,63
117,28
117,2
117,17
117,14
116,96
116,34
115,99
115,99
115,97
115,92
115,63
115,31
115,13
115,09
115,07
115,01
114,64
113,86
113,34
113,33
113,32
113,26
113,2
112,61
112,28
112,16




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74394&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74394&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74394&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean118.2518055555560.332054314145444356.121876807659
Geometric Mean118.218353473916
Harmonic Mean118.184553072207
Quadratic Mean118.284901749735
Winsorized Mean ( 1 / 24 )118.2531944444440.331587377362071356.627551341678
Winsorized Mean ( 2 / 24 )118.261250.329156218262889359.286087998336
Winsorized Mean ( 3 / 24 )118.281250.322806122226559366.415758115595
Winsorized Mean ( 4 / 24 )118.2795833333330.321375871226227368.04126856827
Winsorized Mean ( 5 / 24 )118.283750.320463062203882369.102601674406
Winsorized Mean ( 6 / 24 )118.283750.320166992170628369.443924241143
Winsorized Mean ( 7 / 24 )118.2827777777780.319689257759298369.992969444209
Winsorized Mean ( 8 / 24 )118.3361111111110.30684602299728385.653071058901
Winsorized Mean ( 9 / 24 )118.4148611111110.285127637526354415.304746107491
Winsorized Mean ( 10 / 24 )118.4343055555560.271481389799356436.252023179515
Winsorized Mean ( 11 / 24 )118.4434722222220.269860144596631438.906873037008
Winsorized Mean ( 12 / 24 )118.4468055555560.269274065144027439.874540060892
Winsorized Mean ( 13 / 24 )118.4431944444440.266592773388040444.285090474092
Winsorized Mean ( 14 / 24 )118.4704166666670.259517989273674456.501751567340
Winsorized Mean ( 15 / 24 )118.510.244784565624704484.14000162778
Winsorized Mean ( 16 / 24 )118.530.228680470161949518.321481130674
Winsorized Mean ( 17 / 24 )118.5418055555560.226788779450612522.696959888046
Winsorized Mean ( 18 / 24 )118.5468055555560.225991107542180524.564027517894
Winsorized Mean ( 19 / 24 )118.5441666666670.225665313516654525.309649140732
Winsorized Mean ( 20 / 24 )118.6386111111110.210069694221194564.758336755562
Winsorized Mean ( 21 / 24 )118.7961111111110.180128796247846659.506495272722
Winsorized Mean ( 22 / 24 )118.8083333333330.16689678948727711.86709881196
Winsorized Mean ( 23 / 24 )118.8115277777780.164751990273233721.1538238824
Winsorized Mean ( 24 / 24 )118.8215277777780.163351256528612727.398921213472
Trimmed Mean ( 1 / 24 )118.290.326456982603655362.344830417101
Trimmed Mean ( 2 / 24 )118.3289705882350.320241975272346369.498628303188
Trimmed Mean ( 3 / 24 )118.3659090909090.314260294564851376.649265395768
Trimmed Mean ( 4 / 24 )118.397656250.309851774454039382.110628408108
Trimmed Mean ( 5 / 24 )118.4319354838710.304887981155153388.444093582038
Trimmed Mean ( 6 / 24 )118.46750.299002827207313396.208628214277
Trimmed Mean ( 7 / 24 )118.5055172413790.291754105543106406.182860805948
Trimmed Mean ( 8 / 24 )118.5464285714290.282825083451439419.151042491544
Trimmed Mean ( 9 / 24 )118.5814814814810.275061953177412431.108265289594
Trimmed Mean ( 10 / 24 )118.6071153846150.270580117600329438.343794202236
Trimmed Mean ( 11 / 24 )118.6320.267761849715872443.050420087413
Trimmed Mean ( 12 / 24 )118.6577083333330.264237367697841449.057260020165
Trimmed Mean ( 13 / 24 )118.6852173913040.259554754237685457.264663634785
Trimmed Mean ( 14 / 24 )118.7156818181820.253795167555973467.761789798459
Trimmed Mean ( 15 / 24 )118.7457142857140.247675404557855479.440881494458
Trimmed Mean ( 16 / 24 )118.7740.242787973342997489.208746069982
Trimmed Mean ( 17 / 24 )118.8028947368420.239569287498972495.902024742433
Trimmed Mean ( 18 / 24 )118.8336111111110.23511738128135505.422484988086
Trimmed Mean ( 19 / 24 )118.8673529411760.228633197125272519.904171554085
Trimmed Mean ( 20 / 24 )118.9056250.219036534688224542.857497125992
Trimmed Mean ( 21 / 24 )118.9376666666670.210106532000488566.082670225553
Trimmed Mean ( 22 / 24 )118.9550.206569677702299575.85896111739
Trimmed Mean ( 23 / 24 )118.9734615384620.204465488761978581.875514830578
Trimmed Mean ( 24 / 24 )118.9945833333330.200677276399908592.964910965814
Median119.13
Midrange116.915
Midmean - Weighted Average at Xnp118.847179487179
Midmean - Weighted Average at X(n+1)p118.922894736842
Midmean - Empirical Distribution Function118.847179487179
Midmean - Empirical Distribution Function - Averaging118.922894736842
Midmean - Empirical Distribution Function - Interpolation118.922894736842
Midmean - Closest Observation118.847179487179
Midmean - True Basic - Statistics Graphics Toolkit118.922894736842
Midmean - MS Excel (old versions)118.847179487179
Number of observations72

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 118.251805555556 & 0.332054314145444 & 356.121876807659 \tabularnewline
Geometric Mean & 118.218353473916 &  &  \tabularnewline
Harmonic Mean & 118.184553072207 &  &  \tabularnewline
Quadratic Mean & 118.284901749735 &  &  \tabularnewline
Winsorized Mean ( 1 / 24 ) & 118.253194444444 & 0.331587377362071 & 356.627551341678 \tabularnewline
Winsorized Mean ( 2 / 24 ) & 118.26125 & 0.329156218262889 & 359.286087998336 \tabularnewline
Winsorized Mean ( 3 / 24 ) & 118.28125 & 0.322806122226559 & 366.415758115595 \tabularnewline
Winsorized Mean ( 4 / 24 ) & 118.279583333333 & 0.321375871226227 & 368.04126856827 \tabularnewline
Winsorized Mean ( 5 / 24 ) & 118.28375 & 0.320463062203882 & 369.102601674406 \tabularnewline
Winsorized Mean ( 6 / 24 ) & 118.28375 & 0.320166992170628 & 369.443924241143 \tabularnewline
Winsorized Mean ( 7 / 24 ) & 118.282777777778 & 0.319689257759298 & 369.992969444209 \tabularnewline
Winsorized Mean ( 8 / 24 ) & 118.336111111111 & 0.30684602299728 & 385.653071058901 \tabularnewline
Winsorized Mean ( 9 / 24 ) & 118.414861111111 & 0.285127637526354 & 415.304746107491 \tabularnewline
Winsorized Mean ( 10 / 24 ) & 118.434305555556 & 0.271481389799356 & 436.252023179515 \tabularnewline
Winsorized Mean ( 11 / 24 ) & 118.443472222222 & 0.269860144596631 & 438.906873037008 \tabularnewline
Winsorized Mean ( 12 / 24 ) & 118.446805555556 & 0.269274065144027 & 439.874540060892 \tabularnewline
Winsorized Mean ( 13 / 24 ) & 118.443194444444 & 0.266592773388040 & 444.285090474092 \tabularnewline
Winsorized Mean ( 14 / 24 ) & 118.470416666667 & 0.259517989273674 & 456.501751567340 \tabularnewline
Winsorized Mean ( 15 / 24 ) & 118.51 & 0.244784565624704 & 484.14000162778 \tabularnewline
Winsorized Mean ( 16 / 24 ) & 118.53 & 0.228680470161949 & 518.321481130674 \tabularnewline
Winsorized Mean ( 17 / 24 ) & 118.541805555556 & 0.226788779450612 & 522.696959888046 \tabularnewline
Winsorized Mean ( 18 / 24 ) & 118.546805555556 & 0.225991107542180 & 524.564027517894 \tabularnewline
Winsorized Mean ( 19 / 24 ) & 118.544166666667 & 0.225665313516654 & 525.309649140732 \tabularnewline
Winsorized Mean ( 20 / 24 ) & 118.638611111111 & 0.210069694221194 & 564.758336755562 \tabularnewline
Winsorized Mean ( 21 / 24 ) & 118.796111111111 & 0.180128796247846 & 659.506495272722 \tabularnewline
Winsorized Mean ( 22 / 24 ) & 118.808333333333 & 0.16689678948727 & 711.86709881196 \tabularnewline
Winsorized Mean ( 23 / 24 ) & 118.811527777778 & 0.164751990273233 & 721.1538238824 \tabularnewline
Winsorized Mean ( 24 / 24 ) & 118.821527777778 & 0.163351256528612 & 727.398921213472 \tabularnewline
Trimmed Mean ( 1 / 24 ) & 118.29 & 0.326456982603655 & 362.344830417101 \tabularnewline
Trimmed Mean ( 2 / 24 ) & 118.328970588235 & 0.320241975272346 & 369.498628303188 \tabularnewline
Trimmed Mean ( 3 / 24 ) & 118.365909090909 & 0.314260294564851 & 376.649265395768 \tabularnewline
Trimmed Mean ( 4 / 24 ) & 118.39765625 & 0.309851774454039 & 382.110628408108 \tabularnewline
Trimmed Mean ( 5 / 24 ) & 118.431935483871 & 0.304887981155153 & 388.444093582038 \tabularnewline
Trimmed Mean ( 6 / 24 ) & 118.4675 & 0.299002827207313 & 396.208628214277 \tabularnewline
Trimmed Mean ( 7 / 24 ) & 118.505517241379 & 0.291754105543106 & 406.182860805948 \tabularnewline
Trimmed Mean ( 8 / 24 ) & 118.546428571429 & 0.282825083451439 & 419.151042491544 \tabularnewline
Trimmed Mean ( 9 / 24 ) & 118.581481481481 & 0.275061953177412 & 431.108265289594 \tabularnewline
Trimmed Mean ( 10 / 24 ) & 118.607115384615 & 0.270580117600329 & 438.343794202236 \tabularnewline
Trimmed Mean ( 11 / 24 ) & 118.632 & 0.267761849715872 & 443.050420087413 \tabularnewline
Trimmed Mean ( 12 / 24 ) & 118.657708333333 & 0.264237367697841 & 449.057260020165 \tabularnewline
Trimmed Mean ( 13 / 24 ) & 118.685217391304 & 0.259554754237685 & 457.264663634785 \tabularnewline
Trimmed Mean ( 14 / 24 ) & 118.715681818182 & 0.253795167555973 & 467.761789798459 \tabularnewline
Trimmed Mean ( 15 / 24 ) & 118.745714285714 & 0.247675404557855 & 479.440881494458 \tabularnewline
Trimmed Mean ( 16 / 24 ) & 118.774 & 0.242787973342997 & 489.208746069982 \tabularnewline
Trimmed Mean ( 17 / 24 ) & 118.802894736842 & 0.239569287498972 & 495.902024742433 \tabularnewline
Trimmed Mean ( 18 / 24 ) & 118.833611111111 & 0.23511738128135 & 505.422484988086 \tabularnewline
Trimmed Mean ( 19 / 24 ) & 118.867352941176 & 0.228633197125272 & 519.904171554085 \tabularnewline
Trimmed Mean ( 20 / 24 ) & 118.905625 & 0.219036534688224 & 542.857497125992 \tabularnewline
Trimmed Mean ( 21 / 24 ) & 118.937666666667 & 0.210106532000488 & 566.082670225553 \tabularnewline
Trimmed Mean ( 22 / 24 ) & 118.955 & 0.206569677702299 & 575.85896111739 \tabularnewline
Trimmed Mean ( 23 / 24 ) & 118.973461538462 & 0.204465488761978 & 581.875514830578 \tabularnewline
Trimmed Mean ( 24 / 24 ) & 118.994583333333 & 0.200677276399908 & 592.964910965814 \tabularnewline
Median & 119.13 &  &  \tabularnewline
Midrange & 116.915 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 118.847179487179 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 118.922894736842 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 118.847179487179 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 118.922894736842 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 118.922894736842 &  &  \tabularnewline
Midmean - Closest Observation & 118.847179487179 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 118.922894736842 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 118.847179487179 &  &  \tabularnewline
Number of observations & 72 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74394&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]118.251805555556[/C][C]0.332054314145444[/C][C]356.121876807659[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]118.218353473916[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]118.184553072207[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]118.284901749735[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 24 )[/C][C]118.253194444444[/C][C]0.331587377362071[/C][C]356.627551341678[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 24 )[/C][C]118.26125[/C][C]0.329156218262889[/C][C]359.286087998336[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 24 )[/C][C]118.28125[/C][C]0.322806122226559[/C][C]366.415758115595[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 24 )[/C][C]118.279583333333[/C][C]0.321375871226227[/C][C]368.04126856827[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 24 )[/C][C]118.28375[/C][C]0.320463062203882[/C][C]369.102601674406[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 24 )[/C][C]118.28375[/C][C]0.320166992170628[/C][C]369.443924241143[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 24 )[/C][C]118.282777777778[/C][C]0.319689257759298[/C][C]369.992969444209[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 24 )[/C][C]118.336111111111[/C][C]0.30684602299728[/C][C]385.653071058901[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 24 )[/C][C]118.414861111111[/C][C]0.285127637526354[/C][C]415.304746107491[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 24 )[/C][C]118.434305555556[/C][C]0.271481389799356[/C][C]436.252023179515[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 24 )[/C][C]118.443472222222[/C][C]0.269860144596631[/C][C]438.906873037008[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 24 )[/C][C]118.446805555556[/C][C]0.269274065144027[/C][C]439.874540060892[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 24 )[/C][C]118.443194444444[/C][C]0.266592773388040[/C][C]444.285090474092[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 24 )[/C][C]118.470416666667[/C][C]0.259517989273674[/C][C]456.501751567340[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 24 )[/C][C]118.51[/C][C]0.244784565624704[/C][C]484.14000162778[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 24 )[/C][C]118.53[/C][C]0.228680470161949[/C][C]518.321481130674[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 24 )[/C][C]118.541805555556[/C][C]0.226788779450612[/C][C]522.696959888046[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 24 )[/C][C]118.546805555556[/C][C]0.225991107542180[/C][C]524.564027517894[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 24 )[/C][C]118.544166666667[/C][C]0.225665313516654[/C][C]525.309649140732[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 24 )[/C][C]118.638611111111[/C][C]0.210069694221194[/C][C]564.758336755562[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 24 )[/C][C]118.796111111111[/C][C]0.180128796247846[/C][C]659.506495272722[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 24 )[/C][C]118.808333333333[/C][C]0.16689678948727[/C][C]711.86709881196[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 24 )[/C][C]118.811527777778[/C][C]0.164751990273233[/C][C]721.1538238824[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 24 )[/C][C]118.821527777778[/C][C]0.163351256528612[/C][C]727.398921213472[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 24 )[/C][C]118.29[/C][C]0.326456982603655[/C][C]362.344830417101[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 24 )[/C][C]118.328970588235[/C][C]0.320241975272346[/C][C]369.498628303188[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 24 )[/C][C]118.365909090909[/C][C]0.314260294564851[/C][C]376.649265395768[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 24 )[/C][C]118.39765625[/C][C]0.309851774454039[/C][C]382.110628408108[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 24 )[/C][C]118.431935483871[/C][C]0.304887981155153[/C][C]388.444093582038[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 24 )[/C][C]118.4675[/C][C]0.299002827207313[/C][C]396.208628214277[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 24 )[/C][C]118.505517241379[/C][C]0.291754105543106[/C][C]406.182860805948[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 24 )[/C][C]118.546428571429[/C][C]0.282825083451439[/C][C]419.151042491544[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 24 )[/C][C]118.581481481481[/C][C]0.275061953177412[/C][C]431.108265289594[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 24 )[/C][C]118.607115384615[/C][C]0.270580117600329[/C][C]438.343794202236[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 24 )[/C][C]118.632[/C][C]0.267761849715872[/C][C]443.050420087413[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 24 )[/C][C]118.657708333333[/C][C]0.264237367697841[/C][C]449.057260020165[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 24 )[/C][C]118.685217391304[/C][C]0.259554754237685[/C][C]457.264663634785[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 24 )[/C][C]118.715681818182[/C][C]0.253795167555973[/C][C]467.761789798459[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 24 )[/C][C]118.745714285714[/C][C]0.247675404557855[/C][C]479.440881494458[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 24 )[/C][C]118.774[/C][C]0.242787973342997[/C][C]489.208746069982[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 24 )[/C][C]118.802894736842[/C][C]0.239569287498972[/C][C]495.902024742433[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 24 )[/C][C]118.833611111111[/C][C]0.23511738128135[/C][C]505.422484988086[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 24 )[/C][C]118.867352941176[/C][C]0.228633197125272[/C][C]519.904171554085[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 24 )[/C][C]118.905625[/C][C]0.219036534688224[/C][C]542.857497125992[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 24 )[/C][C]118.937666666667[/C][C]0.210106532000488[/C][C]566.082670225553[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 24 )[/C][C]118.955[/C][C]0.206569677702299[/C][C]575.85896111739[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 24 )[/C][C]118.973461538462[/C][C]0.204465488761978[/C][C]581.875514830578[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 24 )[/C][C]118.994583333333[/C][C]0.200677276399908[/C][C]592.964910965814[/C][/ROW]
[ROW][C]Median[/C][C]119.13[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]116.915[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]118.847179487179[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]118.922894736842[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]118.847179487179[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]118.922894736842[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]118.922894736842[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]118.847179487179[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]118.922894736842[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]118.847179487179[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]72[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74394&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74394&T=1

As an alternative you can also use a QR Code:  

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

Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean118.2518055555560.332054314145444356.121876807659
Geometric Mean118.218353473916
Harmonic Mean118.184553072207
Quadratic Mean118.284901749735
Winsorized Mean ( 1 / 24 )118.2531944444440.331587377362071356.627551341678
Winsorized Mean ( 2 / 24 )118.261250.329156218262889359.286087998336
Winsorized Mean ( 3 / 24 )118.281250.322806122226559366.415758115595
Winsorized Mean ( 4 / 24 )118.2795833333330.321375871226227368.04126856827
Winsorized Mean ( 5 / 24 )118.283750.320463062203882369.102601674406
Winsorized Mean ( 6 / 24 )118.283750.320166992170628369.443924241143
Winsorized Mean ( 7 / 24 )118.2827777777780.319689257759298369.992969444209
Winsorized Mean ( 8 / 24 )118.3361111111110.30684602299728385.653071058901
Winsorized Mean ( 9 / 24 )118.4148611111110.285127637526354415.304746107491
Winsorized Mean ( 10 / 24 )118.4343055555560.271481389799356436.252023179515
Winsorized Mean ( 11 / 24 )118.4434722222220.269860144596631438.906873037008
Winsorized Mean ( 12 / 24 )118.4468055555560.269274065144027439.874540060892
Winsorized Mean ( 13 / 24 )118.4431944444440.266592773388040444.285090474092
Winsorized Mean ( 14 / 24 )118.4704166666670.259517989273674456.501751567340
Winsorized Mean ( 15 / 24 )118.510.244784565624704484.14000162778
Winsorized Mean ( 16 / 24 )118.530.228680470161949518.321481130674
Winsorized Mean ( 17 / 24 )118.5418055555560.226788779450612522.696959888046
Winsorized Mean ( 18 / 24 )118.5468055555560.225991107542180524.564027517894
Winsorized Mean ( 19 / 24 )118.5441666666670.225665313516654525.309649140732
Winsorized Mean ( 20 / 24 )118.6386111111110.210069694221194564.758336755562
Winsorized Mean ( 21 / 24 )118.7961111111110.180128796247846659.506495272722
Winsorized Mean ( 22 / 24 )118.8083333333330.16689678948727711.86709881196
Winsorized Mean ( 23 / 24 )118.8115277777780.164751990273233721.1538238824
Winsorized Mean ( 24 / 24 )118.8215277777780.163351256528612727.398921213472
Trimmed Mean ( 1 / 24 )118.290.326456982603655362.344830417101
Trimmed Mean ( 2 / 24 )118.3289705882350.320241975272346369.498628303188
Trimmed Mean ( 3 / 24 )118.3659090909090.314260294564851376.649265395768
Trimmed Mean ( 4 / 24 )118.397656250.309851774454039382.110628408108
Trimmed Mean ( 5 / 24 )118.4319354838710.304887981155153388.444093582038
Trimmed Mean ( 6 / 24 )118.46750.299002827207313396.208628214277
Trimmed Mean ( 7 / 24 )118.5055172413790.291754105543106406.182860805948
Trimmed Mean ( 8 / 24 )118.5464285714290.282825083451439419.151042491544
Trimmed Mean ( 9 / 24 )118.5814814814810.275061953177412431.108265289594
Trimmed Mean ( 10 / 24 )118.6071153846150.270580117600329438.343794202236
Trimmed Mean ( 11 / 24 )118.6320.267761849715872443.050420087413
Trimmed Mean ( 12 / 24 )118.6577083333330.264237367697841449.057260020165
Trimmed Mean ( 13 / 24 )118.6852173913040.259554754237685457.264663634785
Trimmed Mean ( 14 / 24 )118.7156818181820.253795167555973467.761789798459
Trimmed Mean ( 15 / 24 )118.7457142857140.247675404557855479.440881494458
Trimmed Mean ( 16 / 24 )118.7740.242787973342997489.208746069982
Trimmed Mean ( 17 / 24 )118.8028947368420.239569287498972495.902024742433
Trimmed Mean ( 18 / 24 )118.8336111111110.23511738128135505.422484988086
Trimmed Mean ( 19 / 24 )118.8673529411760.228633197125272519.904171554085
Trimmed Mean ( 20 / 24 )118.9056250.219036534688224542.857497125992
Trimmed Mean ( 21 / 24 )118.9376666666670.210106532000488566.082670225553
Trimmed Mean ( 22 / 24 )118.9550.206569677702299575.85896111739
Trimmed Mean ( 23 / 24 )118.9734615384620.204465488761978581.875514830578
Trimmed Mean ( 24 / 24 )118.9945833333330.200677276399908592.964910965814
Median119.13
Midrange116.915
Midmean - Weighted Average at Xnp118.847179487179
Midmean - Weighted Average at X(n+1)p118.922894736842
Midmean - Empirical Distribution Function118.847179487179
Midmean - Empirical Distribution Function - Averaging118.922894736842
Midmean - Empirical Distribution Function - Interpolation118.922894736842
Midmean - Closest Observation118.847179487179
Midmean - True Basic - Statistics Graphics Toolkit118.922894736842
Midmean - MS Excel (old versions)118.847179487179
Number of observations72



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')