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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationWed, 21 Oct 2009 10:21:46 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Oct/21/t1256142170w2hplcnvmn23500.htm/, Retrieved Thu, 02 May 2024 10:01:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=49480, Retrieved Thu, 02 May 2024 10:01:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsSHW WS 3 - Vraag 2 (2)
Estimated Impact138
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
F RMPD  [Univariate Explorative Data Analysis] [Colombia Coffee] [2008-01-07 14:21:11] [74be16979710d4c4e7c6647856088456]
F RMPD    [Univariate Data Series] [] [2009-10-14 08:30:28] [74be16979710d4c4e7c6647856088456]
- RMPD      [Univariate Explorative Data Analysis] [WS 3 - Vraag 1 (1)] [2009-10-21 15:37:29] [b103a1dc147def8132c7f643ad8c8f84]
- RMP         [Central Tendency] [WS 3 - Vraag 1 (2)] [2009-10-21 15:45:10] [b103a1dc147def8132c7f643ad8c8f84]
- RMPD          [Univariate Explorative Data Analysis] [WS 3 - Vraag 2 (1)] [2009-10-21 16:02:49] [b103a1dc147def8132c7f643ad8c8f84]
- RMPD              [Central Tendency] [WS 3 - Vraag 2 (2)] [2009-10-21 16:21:46] [a45cc820faa25ce30779915639528ec2] [Current]
- RMPD                [Harrell-Davis Quantiles] [WS 3 - Vraag 3] [2009-10-21 18:16:17] [b103a1dc147def8132c7f643ad8c8f84]
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Dataseries X:
-1
-1,3
0,5
-1,4
-0,8
-0,6
0,3
-0,1
-0,4
-0,4
-0,7
-0,8
-0,1
-1,1
0,8
-0,9
-0,9
-0,5
0,5
0
0,1
-0,4
-0,6
-0,4
0
-0,9
0,9
-0,8
-0,6
0,1
1,3
0,9
0,3
0,7
0,2
-0,4
-0,5
-0,9
1
-0,6
-0,3
-0,3
0,6
0
-0,2
-0,7
-0,2
0,1
-0,6
-0,1
0,4
-0,3
0,1
0,7
1,9
1,6
0
1,1
0,8
0,5
0,7
0,7
2,3
1,2
1,3
2,1
1,9
1,6
0,7
0,8
0,2
0,1
0,4




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=49480&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=49480&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=49480&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'George Udny Yule' @ 72.249.76.132







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean0.1315068493150680.09852173562671811.33480037149696
Geometric MeanNaN
Harmonic Mean0
Quadratic Mean0.84626496061319
Winsorized Mean ( 1 / 24 )0.130136986301370.09743055387902561.33568968994012
Winsorized Mean ( 2 / 24 )0.130136986301370.09489810548321331.37133387056278
Winsorized Mean ( 3 / 24 )0.1342465753424660.09418437781641861.42535926291444
Winsorized Mean ( 4 / 24 )0.1232876712328770.08925363931341691.38131814210901
Winsorized Mean ( 5 / 24 )0.1232876712328770.08925363931341691.38131814210901
Winsorized Mean ( 6 / 24 )0.09863013698630140.08395868445341521.17474609837445
Winsorized Mean ( 7 / 24 )0.09863013698630140.08395868445341521.17474609837445
Winsorized Mean ( 8 / 24 )0.09863013698630140.0800611721670091.23193471088029
Winsorized Mean ( 9 / 24 )0.08630136986301370.07776645823380181.10975055085513
Winsorized Mean ( 10 / 24 )0.07260273972602740.07535457215588720.963481546625106
Winsorized Mean ( 11 / 24 )0.07260273972602740.07047512903628581.03018952528127
Winsorized Mean ( 12 / 24 )0.07260273972602740.07047512903628581.03018952528127
Winsorized Mean ( 13 / 24 )0.07260273972602740.06499795904688891.11700029955791
Winsorized Mean ( 14 / 24 )0.07260273972602740.06499795904688891.11700029955791
Winsorized Mean ( 15 / 24 )0.07260273972602740.06499795904688891.11700029955791
Winsorized Mean ( 16 / 24 )0.05068493150684930.06168990330046580.821608217798367
Winsorized Mean ( 17 / 24 )0.05068493150684930.06168990330046580.821608217798367
Winsorized Mean ( 18 / 24 )0.07534246575342470.05818738499794281.29482474175611
Winsorized Mean ( 19 / 24 )0.07534246575342460.05818738499794281.29482474175611
Winsorized Mean ( 20 / 24 )0.1027397260273970.05454853461263251.88345528907397
Winsorized Mean ( 21 / 24 )0.0739726027397260.05026669351207881.47160271685566
Winsorized Mean ( 22 / 24 )0.04383561643835620.04599592585731180.95303259193744
Winsorized Mean ( 23 / 24 )0.04383561643835620.04599592585731180.95303259193744
Winsorized Mean ( 24 / 24 )0.04383561643835620.04599592585731180.95303259193744
Trimmed Mean ( 1 / 24 )0.1225352112676060.09405245300304351.30283907920658
Trimmed Mean ( 2 / 24 )0.1144927536231880.09002404155349321.2718019725337
Trimmed Mean ( 3 / 24 )0.1059701492537310.0868536565304731.22010003363015
Trimmed Mean ( 4 / 24 )0.09538461538461540.08336178015453211.14422478991926
Trimmed Mean ( 5 / 24 )0.08730158730158730.08103566893026961.07732296720731
Trimmed Mean ( 6 / 24 )0.0786885245901640.07820090261586751.00623550314619
Trimmed Mean ( 7 / 24 )0.07457627118644070.07631922638004330.97716230527648
Trimmed Mean ( 8 / 24 )0.07017543859649120.07399980154247170.948319281048537
Trimmed Mean ( 9 / 24 )0.06545454545454550.07211187444856830.907680544363454
Trimmed Mean ( 10 / 24 )0.06226415094339620.07031065294787140.8855578540788
Trimmed Mean ( 11 / 24 )0.06078431372549020.06860391753363040.886018115447897
Trimmed Mean ( 12 / 24 )0.05918367346938780.06750651060481940.876710600787038
Trimmed Mean ( 13 / 24 )0.05744680851063830.06606031785642560.869611445641122
Trimmed Mean ( 14 / 24 )0.05555555555555560.06533175288406550.850360706747631
Trimmed Mean ( 15 / 24 )0.05348837209302330.06430037805521220.831851595757258
Trimmed Mean ( 16 / 24 )0.0512195121951220.06287055528774320.814682039321949
Trimmed Mean ( 17 / 24 )0.05128205128205130.06167607196085730.831474016610484
Trimmed Mean ( 18 / 24 )0.05135135135135130.05998268288907140.856102943016365
Trimmed Mean ( 19 / 24 )0.04857142857142860.05846372553029060.830795987270145
Trimmed Mean ( 20 / 24 )0.04545454545454540.05625478247193020.808012109498889
Trimmed Mean ( 21 / 24 )0.03870967741935480.05401660822950830.716625472944975
Trimmed Mean ( 22 / 24 )0.03448275862068970.0521167366414270.661644624028123
Trimmed Mean ( 23 / 24 )0.03333333333333330.05063696835418330.658280588604383
Trimmed Mean ( 24 / 24 )0.0320.04820788317277580.663791850916018
Median0
Midrange0.45
Midmean - Weighted Average at Xnp0.0846153846153846
Midmean - Weighted Average at X(n+1)p0.0846153846153846
Midmean - Empirical Distribution Function0.0846153846153846
Midmean - Empirical Distribution Function - Averaging0.0846153846153846
Midmean - Empirical Distribution Function - Interpolation0.0846153846153846
Midmean - Closest Observation0.00681818181818177
Midmean - True Basic - Statistics Graphics Toolkit0.0846153846153846
Midmean - MS Excel (old versions)0.0846153846153846
Number of observations73

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 0.131506849315068 & 0.0985217356267181 & 1.33480037149696 \tabularnewline
Geometric Mean & NaN &  &  \tabularnewline
Harmonic Mean & 0 &  &  \tabularnewline
Quadratic Mean & 0.84626496061319 &  &  \tabularnewline
Winsorized Mean ( 1 / 24 ) & 0.13013698630137 & 0.0974305538790256 & 1.33568968994012 \tabularnewline
Winsorized Mean ( 2 / 24 ) & 0.13013698630137 & 0.0948981054832133 & 1.37133387056278 \tabularnewline
Winsorized Mean ( 3 / 24 ) & 0.134246575342466 & 0.0941843778164186 & 1.42535926291444 \tabularnewline
Winsorized Mean ( 4 / 24 ) & 0.123287671232877 & 0.0892536393134169 & 1.38131814210901 \tabularnewline
Winsorized Mean ( 5 / 24 ) & 0.123287671232877 & 0.0892536393134169 & 1.38131814210901 \tabularnewline
Winsorized Mean ( 6 / 24 ) & 0.0986301369863014 & 0.0839586844534152 & 1.17474609837445 \tabularnewline
Winsorized Mean ( 7 / 24 ) & 0.0986301369863014 & 0.0839586844534152 & 1.17474609837445 \tabularnewline
Winsorized Mean ( 8 / 24 ) & 0.0986301369863014 & 0.080061172167009 & 1.23193471088029 \tabularnewline
Winsorized Mean ( 9 / 24 ) & 0.0863013698630137 & 0.0777664582338018 & 1.10975055085513 \tabularnewline
Winsorized Mean ( 10 / 24 ) & 0.0726027397260274 & 0.0753545721558872 & 0.963481546625106 \tabularnewline
Winsorized Mean ( 11 / 24 ) & 0.0726027397260274 & 0.0704751290362858 & 1.03018952528127 \tabularnewline
Winsorized Mean ( 12 / 24 ) & 0.0726027397260274 & 0.0704751290362858 & 1.03018952528127 \tabularnewline
Winsorized Mean ( 13 / 24 ) & 0.0726027397260274 & 0.0649979590468889 & 1.11700029955791 \tabularnewline
Winsorized Mean ( 14 / 24 ) & 0.0726027397260274 & 0.0649979590468889 & 1.11700029955791 \tabularnewline
Winsorized Mean ( 15 / 24 ) & 0.0726027397260274 & 0.0649979590468889 & 1.11700029955791 \tabularnewline
Winsorized Mean ( 16 / 24 ) & 0.0506849315068493 & 0.0616899033004658 & 0.821608217798367 \tabularnewline
Winsorized Mean ( 17 / 24 ) & 0.0506849315068493 & 0.0616899033004658 & 0.821608217798367 \tabularnewline
Winsorized Mean ( 18 / 24 ) & 0.0753424657534247 & 0.0581873849979428 & 1.29482474175611 \tabularnewline
Winsorized Mean ( 19 / 24 ) & 0.0753424657534246 & 0.0581873849979428 & 1.29482474175611 \tabularnewline
Winsorized Mean ( 20 / 24 ) & 0.102739726027397 & 0.0545485346126325 & 1.88345528907397 \tabularnewline
Winsorized Mean ( 21 / 24 ) & 0.073972602739726 & 0.0502666935120788 & 1.47160271685566 \tabularnewline
Winsorized Mean ( 22 / 24 ) & 0.0438356164383562 & 0.0459959258573118 & 0.95303259193744 \tabularnewline
Winsorized Mean ( 23 / 24 ) & 0.0438356164383562 & 0.0459959258573118 & 0.95303259193744 \tabularnewline
Winsorized Mean ( 24 / 24 ) & 0.0438356164383562 & 0.0459959258573118 & 0.95303259193744 \tabularnewline
Trimmed Mean ( 1 / 24 ) & 0.122535211267606 & 0.0940524530030435 & 1.30283907920658 \tabularnewline
Trimmed Mean ( 2 / 24 ) & 0.114492753623188 & 0.0900240415534932 & 1.2718019725337 \tabularnewline
Trimmed Mean ( 3 / 24 ) & 0.105970149253731 & 0.086853656530473 & 1.22010003363015 \tabularnewline
Trimmed Mean ( 4 / 24 ) & 0.0953846153846154 & 0.0833617801545321 & 1.14422478991926 \tabularnewline
Trimmed Mean ( 5 / 24 ) & 0.0873015873015873 & 0.0810356689302696 & 1.07732296720731 \tabularnewline
Trimmed Mean ( 6 / 24 ) & 0.078688524590164 & 0.0782009026158675 & 1.00623550314619 \tabularnewline
Trimmed Mean ( 7 / 24 ) & 0.0745762711864407 & 0.0763192263800433 & 0.97716230527648 \tabularnewline
Trimmed Mean ( 8 / 24 ) & 0.0701754385964912 & 0.0739998015424717 & 0.948319281048537 \tabularnewline
Trimmed Mean ( 9 / 24 ) & 0.0654545454545455 & 0.0721118744485683 & 0.907680544363454 \tabularnewline
Trimmed Mean ( 10 / 24 ) & 0.0622641509433962 & 0.0703106529478714 & 0.8855578540788 \tabularnewline
Trimmed Mean ( 11 / 24 ) & 0.0607843137254902 & 0.0686039175336304 & 0.886018115447897 \tabularnewline
Trimmed Mean ( 12 / 24 ) & 0.0591836734693878 & 0.0675065106048194 & 0.876710600787038 \tabularnewline
Trimmed Mean ( 13 / 24 ) & 0.0574468085106383 & 0.0660603178564256 & 0.869611445641122 \tabularnewline
Trimmed Mean ( 14 / 24 ) & 0.0555555555555556 & 0.0653317528840655 & 0.850360706747631 \tabularnewline
Trimmed Mean ( 15 / 24 ) & 0.0534883720930233 & 0.0643003780552122 & 0.831851595757258 \tabularnewline
Trimmed Mean ( 16 / 24 ) & 0.051219512195122 & 0.0628705552877432 & 0.814682039321949 \tabularnewline
Trimmed Mean ( 17 / 24 ) & 0.0512820512820513 & 0.0616760719608573 & 0.831474016610484 \tabularnewline
Trimmed Mean ( 18 / 24 ) & 0.0513513513513513 & 0.0599826828890714 & 0.856102943016365 \tabularnewline
Trimmed Mean ( 19 / 24 ) & 0.0485714285714286 & 0.0584637255302906 & 0.830795987270145 \tabularnewline
Trimmed Mean ( 20 / 24 ) & 0.0454545454545454 & 0.0562547824719302 & 0.808012109498889 \tabularnewline
Trimmed Mean ( 21 / 24 ) & 0.0387096774193548 & 0.0540166082295083 & 0.716625472944975 \tabularnewline
Trimmed Mean ( 22 / 24 ) & 0.0344827586206897 & 0.052116736641427 & 0.661644624028123 \tabularnewline
Trimmed Mean ( 23 / 24 ) & 0.0333333333333333 & 0.0506369683541833 & 0.658280588604383 \tabularnewline
Trimmed Mean ( 24 / 24 ) & 0.032 & 0.0482078831727758 & 0.663791850916018 \tabularnewline
Median & 0 &  &  \tabularnewline
Midrange & 0.45 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 0.0846153846153846 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 0.0846153846153846 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 0.0846153846153846 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 0.0846153846153846 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 0.0846153846153846 &  &  \tabularnewline
Midmean - Closest Observation & 0.00681818181818177 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 0.0846153846153846 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 0.0846153846153846 &  &  \tabularnewline
Number of observations & 73 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=49480&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]0.131506849315068[/C][C]0.0985217356267181[/C][C]1.33480037149696[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]NaN[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]0[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]0.84626496061319[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 24 )[/C][C]0.13013698630137[/C][C]0.0974305538790256[/C][C]1.33568968994012[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 24 )[/C][C]0.13013698630137[/C][C]0.0948981054832133[/C][C]1.37133387056278[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 24 )[/C][C]0.134246575342466[/C][C]0.0941843778164186[/C][C]1.42535926291444[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 24 )[/C][C]0.123287671232877[/C][C]0.0892536393134169[/C][C]1.38131814210901[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 24 )[/C][C]0.123287671232877[/C][C]0.0892536393134169[/C][C]1.38131814210901[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 24 )[/C][C]0.0986301369863014[/C][C]0.0839586844534152[/C][C]1.17474609837445[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 24 )[/C][C]0.0986301369863014[/C][C]0.0839586844534152[/C][C]1.17474609837445[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 24 )[/C][C]0.0986301369863014[/C][C]0.080061172167009[/C][C]1.23193471088029[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 24 )[/C][C]0.0863013698630137[/C][C]0.0777664582338018[/C][C]1.10975055085513[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 24 )[/C][C]0.0726027397260274[/C][C]0.0753545721558872[/C][C]0.963481546625106[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 24 )[/C][C]0.0726027397260274[/C][C]0.0704751290362858[/C][C]1.03018952528127[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 24 )[/C][C]0.0726027397260274[/C][C]0.0704751290362858[/C][C]1.03018952528127[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 24 )[/C][C]0.0726027397260274[/C][C]0.0649979590468889[/C][C]1.11700029955791[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 24 )[/C][C]0.0726027397260274[/C][C]0.0649979590468889[/C][C]1.11700029955791[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 24 )[/C][C]0.0726027397260274[/C][C]0.0649979590468889[/C][C]1.11700029955791[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 24 )[/C][C]0.0506849315068493[/C][C]0.0616899033004658[/C][C]0.821608217798367[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 24 )[/C][C]0.0506849315068493[/C][C]0.0616899033004658[/C][C]0.821608217798367[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 24 )[/C][C]0.0753424657534247[/C][C]0.0581873849979428[/C][C]1.29482474175611[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 24 )[/C][C]0.0753424657534246[/C][C]0.0581873849979428[/C][C]1.29482474175611[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 24 )[/C][C]0.102739726027397[/C][C]0.0545485346126325[/C][C]1.88345528907397[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 24 )[/C][C]0.073972602739726[/C][C]0.0502666935120788[/C][C]1.47160271685566[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 24 )[/C][C]0.0438356164383562[/C][C]0.0459959258573118[/C][C]0.95303259193744[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 24 )[/C][C]0.0438356164383562[/C][C]0.0459959258573118[/C][C]0.95303259193744[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 24 )[/C][C]0.0438356164383562[/C][C]0.0459959258573118[/C][C]0.95303259193744[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 24 )[/C][C]0.122535211267606[/C][C]0.0940524530030435[/C][C]1.30283907920658[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 24 )[/C][C]0.114492753623188[/C][C]0.0900240415534932[/C][C]1.2718019725337[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 24 )[/C][C]0.105970149253731[/C][C]0.086853656530473[/C][C]1.22010003363015[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 24 )[/C][C]0.0953846153846154[/C][C]0.0833617801545321[/C][C]1.14422478991926[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 24 )[/C][C]0.0873015873015873[/C][C]0.0810356689302696[/C][C]1.07732296720731[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 24 )[/C][C]0.078688524590164[/C][C]0.0782009026158675[/C][C]1.00623550314619[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 24 )[/C][C]0.0745762711864407[/C][C]0.0763192263800433[/C][C]0.97716230527648[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 24 )[/C][C]0.0701754385964912[/C][C]0.0739998015424717[/C][C]0.948319281048537[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 24 )[/C][C]0.0654545454545455[/C][C]0.0721118744485683[/C][C]0.907680544363454[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 24 )[/C][C]0.0622641509433962[/C][C]0.0703106529478714[/C][C]0.8855578540788[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 24 )[/C][C]0.0607843137254902[/C][C]0.0686039175336304[/C][C]0.886018115447897[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 24 )[/C][C]0.0591836734693878[/C][C]0.0675065106048194[/C][C]0.876710600787038[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 24 )[/C][C]0.0574468085106383[/C][C]0.0660603178564256[/C][C]0.869611445641122[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 24 )[/C][C]0.0555555555555556[/C][C]0.0653317528840655[/C][C]0.850360706747631[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 24 )[/C][C]0.0534883720930233[/C][C]0.0643003780552122[/C][C]0.831851595757258[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 24 )[/C][C]0.051219512195122[/C][C]0.0628705552877432[/C][C]0.814682039321949[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 24 )[/C][C]0.0512820512820513[/C][C]0.0616760719608573[/C][C]0.831474016610484[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 24 )[/C][C]0.0513513513513513[/C][C]0.0599826828890714[/C][C]0.856102943016365[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 24 )[/C][C]0.0485714285714286[/C][C]0.0584637255302906[/C][C]0.830795987270145[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 24 )[/C][C]0.0454545454545454[/C][C]0.0562547824719302[/C][C]0.808012109498889[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 24 )[/C][C]0.0387096774193548[/C][C]0.0540166082295083[/C][C]0.716625472944975[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 24 )[/C][C]0.0344827586206897[/C][C]0.052116736641427[/C][C]0.661644624028123[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 24 )[/C][C]0.0333333333333333[/C][C]0.0506369683541833[/C][C]0.658280588604383[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 24 )[/C][C]0.032[/C][C]0.0482078831727758[/C][C]0.663791850916018[/C][/ROW]
[ROW][C]Median[/C][C]0[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]0.45[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]0.0846153846153846[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]0.0846153846153846[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]0.0846153846153846[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]0.0846153846153846[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]0.0846153846153846[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]0.00681818181818177[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]0.0846153846153846[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]0.0846153846153846[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]73[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=49480&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=49480&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 Mean0.1315068493150680.09852173562671811.33480037149696
Geometric MeanNaN
Harmonic Mean0
Quadratic Mean0.84626496061319
Winsorized Mean ( 1 / 24 )0.130136986301370.09743055387902561.33568968994012
Winsorized Mean ( 2 / 24 )0.130136986301370.09489810548321331.37133387056278
Winsorized Mean ( 3 / 24 )0.1342465753424660.09418437781641861.42535926291444
Winsorized Mean ( 4 / 24 )0.1232876712328770.08925363931341691.38131814210901
Winsorized Mean ( 5 / 24 )0.1232876712328770.08925363931341691.38131814210901
Winsorized Mean ( 6 / 24 )0.09863013698630140.08395868445341521.17474609837445
Winsorized Mean ( 7 / 24 )0.09863013698630140.08395868445341521.17474609837445
Winsorized Mean ( 8 / 24 )0.09863013698630140.0800611721670091.23193471088029
Winsorized Mean ( 9 / 24 )0.08630136986301370.07776645823380181.10975055085513
Winsorized Mean ( 10 / 24 )0.07260273972602740.07535457215588720.963481546625106
Winsorized Mean ( 11 / 24 )0.07260273972602740.07047512903628581.03018952528127
Winsorized Mean ( 12 / 24 )0.07260273972602740.07047512903628581.03018952528127
Winsorized Mean ( 13 / 24 )0.07260273972602740.06499795904688891.11700029955791
Winsorized Mean ( 14 / 24 )0.07260273972602740.06499795904688891.11700029955791
Winsorized Mean ( 15 / 24 )0.07260273972602740.06499795904688891.11700029955791
Winsorized Mean ( 16 / 24 )0.05068493150684930.06168990330046580.821608217798367
Winsorized Mean ( 17 / 24 )0.05068493150684930.06168990330046580.821608217798367
Winsorized Mean ( 18 / 24 )0.07534246575342470.05818738499794281.29482474175611
Winsorized Mean ( 19 / 24 )0.07534246575342460.05818738499794281.29482474175611
Winsorized Mean ( 20 / 24 )0.1027397260273970.05454853461263251.88345528907397
Winsorized Mean ( 21 / 24 )0.0739726027397260.05026669351207881.47160271685566
Winsorized Mean ( 22 / 24 )0.04383561643835620.04599592585731180.95303259193744
Winsorized Mean ( 23 / 24 )0.04383561643835620.04599592585731180.95303259193744
Winsorized Mean ( 24 / 24 )0.04383561643835620.04599592585731180.95303259193744
Trimmed Mean ( 1 / 24 )0.1225352112676060.09405245300304351.30283907920658
Trimmed Mean ( 2 / 24 )0.1144927536231880.09002404155349321.2718019725337
Trimmed Mean ( 3 / 24 )0.1059701492537310.0868536565304731.22010003363015
Trimmed Mean ( 4 / 24 )0.09538461538461540.08336178015453211.14422478991926
Trimmed Mean ( 5 / 24 )0.08730158730158730.08103566893026961.07732296720731
Trimmed Mean ( 6 / 24 )0.0786885245901640.07820090261586751.00623550314619
Trimmed Mean ( 7 / 24 )0.07457627118644070.07631922638004330.97716230527648
Trimmed Mean ( 8 / 24 )0.07017543859649120.07399980154247170.948319281048537
Trimmed Mean ( 9 / 24 )0.06545454545454550.07211187444856830.907680544363454
Trimmed Mean ( 10 / 24 )0.06226415094339620.07031065294787140.8855578540788
Trimmed Mean ( 11 / 24 )0.06078431372549020.06860391753363040.886018115447897
Trimmed Mean ( 12 / 24 )0.05918367346938780.06750651060481940.876710600787038
Trimmed Mean ( 13 / 24 )0.05744680851063830.06606031785642560.869611445641122
Trimmed Mean ( 14 / 24 )0.05555555555555560.06533175288406550.850360706747631
Trimmed Mean ( 15 / 24 )0.05348837209302330.06430037805521220.831851595757258
Trimmed Mean ( 16 / 24 )0.0512195121951220.06287055528774320.814682039321949
Trimmed Mean ( 17 / 24 )0.05128205128205130.06167607196085730.831474016610484
Trimmed Mean ( 18 / 24 )0.05135135135135130.05998268288907140.856102943016365
Trimmed Mean ( 19 / 24 )0.04857142857142860.05846372553029060.830795987270145
Trimmed Mean ( 20 / 24 )0.04545454545454540.05625478247193020.808012109498889
Trimmed Mean ( 21 / 24 )0.03870967741935480.05401660822950830.716625472944975
Trimmed Mean ( 22 / 24 )0.03448275862068970.0521167366414270.661644624028123
Trimmed Mean ( 23 / 24 )0.03333333333333330.05063696835418330.658280588604383
Trimmed Mean ( 24 / 24 )0.0320.04820788317277580.663791850916018
Median0
Midrange0.45
Midmean - Weighted Average at Xnp0.0846153846153846
Midmean - Weighted Average at X(n+1)p0.0846153846153846
Midmean - Empirical Distribution Function0.0846153846153846
Midmean - Empirical Distribution Function - Averaging0.0846153846153846
Midmean - Empirical Distribution Function - Interpolation0.0846153846153846
Midmean - Closest Observation0.00681818181818177
Midmean - True Basic - Statistics Graphics Toolkit0.0846153846153846
Midmean - MS Excel (old versions)0.0846153846153846
Number of observations73



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')