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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 computationMon, 05 Jan 2015 17:31:25 +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/2015/Jan/05/t1420479235x7zwd89p2vu3gu0.htm/, Retrieved Tue, 14 May 2024 00:59:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271982, Retrieved Tue, 14 May 2024 00:59:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Harrell-Davis Quantiles] [] [2015-01-05 16:01:40] [a8f6a7eeade7f89f597831d453788737]
-    D  [Harrell-Davis Quantiles] [] [2015-01-05 16:10:43] [a8f6a7eeade7f89f597831d453788737]
- RM        [Central Tendency] [] [2015-01-05 17:31:25] [12470bd120139be5e23c611c04d9c0dc] [Current]
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Post a new message
Dataseries X:
383
349
317
401
285
377
380
347
414
406
487
475
566
604
764
725
585
797
740
587
719
621
677
636
591
636
748
571
475
758
554
597
521
597
658
482
567
605
653
512
653
498
520
606
601
608
732
585
800
721
689
689
777
681
836
594
662
835
702
630
857
847
820
801
900
763
897
687
682
844
687
671




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271982&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271982&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271982&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' @ jenkins.wessa.net







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean625.58333333333317.41245428314935.9273496521823
Geometric Mean606.288075776771
Harmonic Mean584.604658149271
Quadratic Mean642.558363107975
Winsorized Mean ( 1 / 24 )625.98611111111117.286043891012736.2133820241294
Winsorized Mean ( 2 / 24 )625.70833333333316.853743930293937.1257766773499
Winsorized Mean ( 3 / 24 )625.37516.755274290482337.324068180444
Winsorized Mean ( 4 / 24 )626.76388888888916.376254960996338.2727241595631
Winsorized Mean ( 5 / 24 )626.41666666666716.22917288174838.5981880426673
Winsorized Mean ( 6 / 24 )626.58333333333316.160757716900238.771903168753
Winsorized Mean ( 7 / 24 )626.87515.535485372242940.3511692734126
Winsorized Mean ( 8 / 24 )625.31944444444415.063257674355941.5128956805278
Winsorized Mean ( 9 / 24 )626.19444444444414.839433240795242.1980027325417
Winsorized Mean ( 10 / 24 )634.2513.187505794375348.0947655977917
Winsorized Mean ( 11 / 24 )631.19444444444412.67404095461649.8021465059696
Winsorized Mean ( 12 / 24 )630.19444444444412.128350478292251.9604414114178
Winsorized Mean ( 13 / 24 )630.91666666666711.945981540286952.8141337351767
Winsorized Mean ( 14 / 24 )632.08333333333311.436730596165355.2678344583256
Winsorized Mean ( 15 / 24 )632.91666666666710.641985640492959.4735501482365
Winsorized Mean ( 16 / 24 )632.91666666666710.09128425904662.7191396475932
Winsorized Mean ( 17 / 24 )631.2638888888899.7756322725675764.575249077274
Winsorized Mean ( 18 / 24 )637.7638888888898.269485289571777.1225616294579
Winsorized Mean ( 19 / 24 )639.8757.6714094714439783.4103566472196
Winsorized Mean ( 20 / 24 )639.5972222222227.5512505499320584.7008343840449
Winsorized Mean ( 21 / 24 )635.8055555555566.6780020676375495.2089485920874
Winsorized Mean ( 22 / 24 )636.1111111111115.56321459532427114.342364510933
Winsorized Mean ( 23 / 24 )636.1111111111115.56321459532427114.342364510933
Winsorized Mean ( 24 / 24 )636.1111111111115.38830805317239118.053961435371
Trimmed Mean ( 1 / 24 )626.52857142857116.771274878405337.3572418299155
Trimmed Mean ( 2 / 24 )627.10294117647116.158620828763338.8091872333676
Trimmed Mean ( 3 / 24 )627.86363636363615.705831416893139.9764660461278
Trimmed Mean ( 4 / 24 )628.79687515.206795089974841.3497302541111
Trimmed Mean ( 5 / 24 )629.38709677419414.748470236596842.6747375610816
Trimmed Mean ( 6 / 24 )630.114.23905467248844.2515331595327
Trimmed Mean ( 7 / 24 )630.82758620689713.635389924658646.2639931598944
Trimmed Mean ( 8 / 24 )631.55357142857113.068598222776248.3260377787029
Trimmed Mean ( 9 / 24 )632.59259259259312.488751571157650.6529887305585
Trimmed Mean ( 10 / 24 )633.57692307692311.820118154141453.6015727435802
Trimmed Mean ( 11 / 24 )633.4811.404805288713655.5450079123143
Trimmed Mean ( 12 / 24 )633.79166666666710.999514751278557.6199660619573
Trimmed Mean ( 13 / 24 )634.26086956521710.608238289024459.7894628952144
Trimmed Mean ( 14 / 24 )634.68181818181810.143774725103662.5686034421805
Trimmed Mean ( 15 / 24 )6359.6629012651204265.7152528601447
Trimmed Mean ( 16 / 24 )635.259.2294643842702468.828479481719
Trimmed Mean ( 17 / 24 )635.5263157894748.789763285149972.303006937989
Trimmed Mean ( 18 / 24 )636.0277777777788.2709556952552276.8989462901665
Trimmed Mean ( 19 / 24 )635.8235294117657.9855563226960379.621694934975
Trimmed Mean ( 20 / 24 )635.343757.7388850283393482.0975822322477
Trimmed Mean ( 21 / 24 )634.8333333333337.4072166322815185.7047072940537
Trimmed Mean ( 22 / 24 )634.7142857142867.1960190976761288.2035299099276
Trimmed Mean ( 23 / 24 )634.5384615384627.2034672782211288.0879216952811
Trimmed Mean ( 24 / 24 )634.3333333333337.1611033344159788.5803909971181
Median633
Midrange592.5
Midmean - Weighted Average at Xnp632.918918918919
Midmean - Weighted Average at X(n+1)p636.027777777778
Midmean - Empirical Distribution Function632.918918918919
Midmean - Empirical Distribution Function - Averaging636.027777777778
Midmean - Empirical Distribution Function - Interpolation636.027777777778
Midmean - Closest Observation632.918918918919
Midmean - True Basic - Statistics Graphics Toolkit636.027777777778
Midmean - MS Excel (old versions)635.526315789474
Number of observations72

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 625.583333333333 & 17.412454283149 & 35.9273496521823 \tabularnewline
Geometric Mean & 606.288075776771 &  &  \tabularnewline
Harmonic Mean & 584.604658149271 &  &  \tabularnewline
Quadratic Mean & 642.558363107975 &  &  \tabularnewline
Winsorized Mean ( 1 / 24 ) & 625.986111111111 & 17.2860438910127 & 36.2133820241294 \tabularnewline
Winsorized Mean ( 2 / 24 ) & 625.708333333333 & 16.8537439302939 & 37.1257766773499 \tabularnewline
Winsorized Mean ( 3 / 24 ) & 625.375 & 16.7552742904823 & 37.324068180444 \tabularnewline
Winsorized Mean ( 4 / 24 ) & 626.763888888889 & 16.3762549609963 & 38.2727241595631 \tabularnewline
Winsorized Mean ( 5 / 24 ) & 626.416666666667 & 16.229172881748 & 38.5981880426673 \tabularnewline
Winsorized Mean ( 6 / 24 ) & 626.583333333333 & 16.1607577169002 & 38.771903168753 \tabularnewline
Winsorized Mean ( 7 / 24 ) & 626.875 & 15.5354853722429 & 40.3511692734126 \tabularnewline
Winsorized Mean ( 8 / 24 ) & 625.319444444444 & 15.0632576743559 & 41.5128956805278 \tabularnewline
Winsorized Mean ( 9 / 24 ) & 626.194444444444 & 14.8394332407952 & 42.1980027325417 \tabularnewline
Winsorized Mean ( 10 / 24 ) & 634.25 & 13.1875057943753 & 48.0947655977917 \tabularnewline
Winsorized Mean ( 11 / 24 ) & 631.194444444444 & 12.674040954616 & 49.8021465059696 \tabularnewline
Winsorized Mean ( 12 / 24 ) & 630.194444444444 & 12.1283504782922 & 51.9604414114178 \tabularnewline
Winsorized Mean ( 13 / 24 ) & 630.916666666667 & 11.9459815402869 & 52.8141337351767 \tabularnewline
Winsorized Mean ( 14 / 24 ) & 632.083333333333 & 11.4367305961653 & 55.2678344583256 \tabularnewline
Winsorized Mean ( 15 / 24 ) & 632.916666666667 & 10.6419856404929 & 59.4735501482365 \tabularnewline
Winsorized Mean ( 16 / 24 ) & 632.916666666667 & 10.091284259046 & 62.7191396475932 \tabularnewline
Winsorized Mean ( 17 / 24 ) & 631.263888888889 & 9.77563227256757 & 64.575249077274 \tabularnewline
Winsorized Mean ( 18 / 24 ) & 637.763888888889 & 8.2694852895717 & 77.1225616294579 \tabularnewline
Winsorized Mean ( 19 / 24 ) & 639.875 & 7.67140947144397 & 83.4103566472196 \tabularnewline
Winsorized Mean ( 20 / 24 ) & 639.597222222222 & 7.55125054993205 & 84.7008343840449 \tabularnewline
Winsorized Mean ( 21 / 24 ) & 635.805555555556 & 6.67800206763754 & 95.2089485920874 \tabularnewline
Winsorized Mean ( 22 / 24 ) & 636.111111111111 & 5.56321459532427 & 114.342364510933 \tabularnewline
Winsorized Mean ( 23 / 24 ) & 636.111111111111 & 5.56321459532427 & 114.342364510933 \tabularnewline
Winsorized Mean ( 24 / 24 ) & 636.111111111111 & 5.38830805317239 & 118.053961435371 \tabularnewline
Trimmed Mean ( 1 / 24 ) & 626.528571428571 & 16.7712748784053 & 37.3572418299155 \tabularnewline
Trimmed Mean ( 2 / 24 ) & 627.102941176471 & 16.1586208287633 & 38.8091872333676 \tabularnewline
Trimmed Mean ( 3 / 24 ) & 627.863636363636 & 15.7058314168931 & 39.9764660461278 \tabularnewline
Trimmed Mean ( 4 / 24 ) & 628.796875 & 15.2067950899748 & 41.3497302541111 \tabularnewline
Trimmed Mean ( 5 / 24 ) & 629.387096774194 & 14.7484702365968 & 42.6747375610816 \tabularnewline
Trimmed Mean ( 6 / 24 ) & 630.1 & 14.239054672488 & 44.2515331595327 \tabularnewline
Trimmed Mean ( 7 / 24 ) & 630.827586206897 & 13.6353899246586 & 46.2639931598944 \tabularnewline
Trimmed Mean ( 8 / 24 ) & 631.553571428571 & 13.0685982227762 & 48.3260377787029 \tabularnewline
Trimmed Mean ( 9 / 24 ) & 632.592592592593 & 12.4887515711576 & 50.6529887305585 \tabularnewline
Trimmed Mean ( 10 / 24 ) & 633.576923076923 & 11.8201181541414 & 53.6015727435802 \tabularnewline
Trimmed Mean ( 11 / 24 ) & 633.48 & 11.4048052887136 & 55.5450079123143 \tabularnewline
Trimmed Mean ( 12 / 24 ) & 633.791666666667 & 10.9995147512785 & 57.6199660619573 \tabularnewline
Trimmed Mean ( 13 / 24 ) & 634.260869565217 & 10.6082382890244 & 59.7894628952144 \tabularnewline
Trimmed Mean ( 14 / 24 ) & 634.681818181818 & 10.1437747251036 & 62.5686034421805 \tabularnewline
Trimmed Mean ( 15 / 24 ) & 635 & 9.66290126512042 & 65.7152528601447 \tabularnewline
Trimmed Mean ( 16 / 24 ) & 635.25 & 9.22946438427024 & 68.828479481719 \tabularnewline
Trimmed Mean ( 17 / 24 ) & 635.526315789474 & 8.7897632851499 & 72.303006937989 \tabularnewline
Trimmed Mean ( 18 / 24 ) & 636.027777777778 & 8.27095569525522 & 76.8989462901665 \tabularnewline
Trimmed Mean ( 19 / 24 ) & 635.823529411765 & 7.98555632269603 & 79.621694934975 \tabularnewline
Trimmed Mean ( 20 / 24 ) & 635.34375 & 7.73888502833934 & 82.0975822322477 \tabularnewline
Trimmed Mean ( 21 / 24 ) & 634.833333333333 & 7.40721663228151 & 85.7047072940537 \tabularnewline
Trimmed Mean ( 22 / 24 ) & 634.714285714286 & 7.19601909767612 & 88.2035299099276 \tabularnewline
Trimmed Mean ( 23 / 24 ) & 634.538461538462 & 7.20346727822112 & 88.0879216952811 \tabularnewline
Trimmed Mean ( 24 / 24 ) & 634.333333333333 & 7.16110333441597 & 88.5803909971181 \tabularnewline
Median & 633 &  &  \tabularnewline
Midrange & 592.5 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 632.918918918919 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 636.027777777778 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 632.918918918919 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 636.027777777778 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 636.027777777778 &  &  \tabularnewline
Midmean - Closest Observation & 632.918918918919 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 636.027777777778 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 635.526315789474 &  &  \tabularnewline
Number of observations & 72 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271982&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]625.583333333333[/C][C]17.412454283149[/C][C]35.9273496521823[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]606.288075776771[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]584.604658149271[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]642.558363107975[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 24 )[/C][C]625.986111111111[/C][C]17.2860438910127[/C][C]36.2133820241294[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 24 )[/C][C]625.708333333333[/C][C]16.8537439302939[/C][C]37.1257766773499[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 24 )[/C][C]625.375[/C][C]16.7552742904823[/C][C]37.324068180444[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 24 )[/C][C]626.763888888889[/C][C]16.3762549609963[/C][C]38.2727241595631[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 24 )[/C][C]626.416666666667[/C][C]16.229172881748[/C][C]38.5981880426673[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 24 )[/C][C]626.583333333333[/C][C]16.1607577169002[/C][C]38.771903168753[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 24 )[/C][C]626.875[/C][C]15.5354853722429[/C][C]40.3511692734126[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 24 )[/C][C]625.319444444444[/C][C]15.0632576743559[/C][C]41.5128956805278[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 24 )[/C][C]626.194444444444[/C][C]14.8394332407952[/C][C]42.1980027325417[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 24 )[/C][C]634.25[/C][C]13.1875057943753[/C][C]48.0947655977917[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 24 )[/C][C]631.194444444444[/C][C]12.674040954616[/C][C]49.8021465059696[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 24 )[/C][C]630.194444444444[/C][C]12.1283504782922[/C][C]51.9604414114178[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 24 )[/C][C]630.916666666667[/C][C]11.9459815402869[/C][C]52.8141337351767[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 24 )[/C][C]632.083333333333[/C][C]11.4367305961653[/C][C]55.2678344583256[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 24 )[/C][C]632.916666666667[/C][C]10.6419856404929[/C][C]59.4735501482365[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 24 )[/C][C]632.916666666667[/C][C]10.091284259046[/C][C]62.7191396475932[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 24 )[/C][C]631.263888888889[/C][C]9.77563227256757[/C][C]64.575249077274[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 24 )[/C][C]637.763888888889[/C][C]8.2694852895717[/C][C]77.1225616294579[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 24 )[/C][C]639.875[/C][C]7.67140947144397[/C][C]83.4103566472196[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 24 )[/C][C]639.597222222222[/C][C]7.55125054993205[/C][C]84.7008343840449[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 24 )[/C][C]635.805555555556[/C][C]6.67800206763754[/C][C]95.2089485920874[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 24 )[/C][C]636.111111111111[/C][C]5.56321459532427[/C][C]114.342364510933[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 24 )[/C][C]636.111111111111[/C][C]5.56321459532427[/C][C]114.342364510933[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 24 )[/C][C]636.111111111111[/C][C]5.38830805317239[/C][C]118.053961435371[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 24 )[/C][C]626.528571428571[/C][C]16.7712748784053[/C][C]37.3572418299155[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 24 )[/C][C]627.102941176471[/C][C]16.1586208287633[/C][C]38.8091872333676[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 24 )[/C][C]627.863636363636[/C][C]15.7058314168931[/C][C]39.9764660461278[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 24 )[/C][C]628.796875[/C][C]15.2067950899748[/C][C]41.3497302541111[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 24 )[/C][C]629.387096774194[/C][C]14.7484702365968[/C][C]42.6747375610816[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 24 )[/C][C]630.1[/C][C]14.239054672488[/C][C]44.2515331595327[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 24 )[/C][C]630.827586206897[/C][C]13.6353899246586[/C][C]46.2639931598944[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 24 )[/C][C]631.553571428571[/C][C]13.0685982227762[/C][C]48.3260377787029[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 24 )[/C][C]632.592592592593[/C][C]12.4887515711576[/C][C]50.6529887305585[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 24 )[/C][C]633.576923076923[/C][C]11.8201181541414[/C][C]53.6015727435802[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 24 )[/C][C]633.48[/C][C]11.4048052887136[/C][C]55.5450079123143[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 24 )[/C][C]633.791666666667[/C][C]10.9995147512785[/C][C]57.6199660619573[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 24 )[/C][C]634.260869565217[/C][C]10.6082382890244[/C][C]59.7894628952144[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 24 )[/C][C]634.681818181818[/C][C]10.1437747251036[/C][C]62.5686034421805[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 24 )[/C][C]635[/C][C]9.66290126512042[/C][C]65.7152528601447[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 24 )[/C][C]635.25[/C][C]9.22946438427024[/C][C]68.828479481719[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 24 )[/C][C]635.526315789474[/C][C]8.7897632851499[/C][C]72.303006937989[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 24 )[/C][C]636.027777777778[/C][C]8.27095569525522[/C][C]76.8989462901665[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 24 )[/C][C]635.823529411765[/C][C]7.98555632269603[/C][C]79.621694934975[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 24 )[/C][C]635.34375[/C][C]7.73888502833934[/C][C]82.0975822322477[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 24 )[/C][C]634.833333333333[/C][C]7.40721663228151[/C][C]85.7047072940537[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 24 )[/C][C]634.714285714286[/C][C]7.19601909767612[/C][C]88.2035299099276[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 24 )[/C][C]634.538461538462[/C][C]7.20346727822112[/C][C]88.0879216952811[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 24 )[/C][C]634.333333333333[/C][C]7.16110333441597[/C][C]88.5803909971181[/C][/ROW]
[ROW][C]Median[/C][C]633[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]592.5[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]632.918918918919[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]636.027777777778[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]632.918918918919[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]636.027777777778[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]636.027777777778[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]632.918918918919[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]636.027777777778[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]635.526315789474[/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=271982&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271982&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 Mean625.58333333333317.41245428314935.9273496521823
Geometric Mean606.288075776771
Harmonic Mean584.604658149271
Quadratic Mean642.558363107975
Winsorized Mean ( 1 / 24 )625.98611111111117.286043891012736.2133820241294
Winsorized Mean ( 2 / 24 )625.70833333333316.853743930293937.1257766773499
Winsorized Mean ( 3 / 24 )625.37516.755274290482337.324068180444
Winsorized Mean ( 4 / 24 )626.76388888888916.376254960996338.2727241595631
Winsorized Mean ( 5 / 24 )626.41666666666716.22917288174838.5981880426673
Winsorized Mean ( 6 / 24 )626.58333333333316.160757716900238.771903168753
Winsorized Mean ( 7 / 24 )626.87515.535485372242940.3511692734126
Winsorized Mean ( 8 / 24 )625.31944444444415.063257674355941.5128956805278
Winsorized Mean ( 9 / 24 )626.19444444444414.839433240795242.1980027325417
Winsorized Mean ( 10 / 24 )634.2513.187505794375348.0947655977917
Winsorized Mean ( 11 / 24 )631.19444444444412.67404095461649.8021465059696
Winsorized Mean ( 12 / 24 )630.19444444444412.128350478292251.9604414114178
Winsorized Mean ( 13 / 24 )630.91666666666711.945981540286952.8141337351767
Winsorized Mean ( 14 / 24 )632.08333333333311.436730596165355.2678344583256
Winsorized Mean ( 15 / 24 )632.91666666666710.641985640492959.4735501482365
Winsorized Mean ( 16 / 24 )632.91666666666710.09128425904662.7191396475932
Winsorized Mean ( 17 / 24 )631.2638888888899.7756322725675764.575249077274
Winsorized Mean ( 18 / 24 )637.7638888888898.269485289571777.1225616294579
Winsorized Mean ( 19 / 24 )639.8757.6714094714439783.4103566472196
Winsorized Mean ( 20 / 24 )639.5972222222227.5512505499320584.7008343840449
Winsorized Mean ( 21 / 24 )635.8055555555566.6780020676375495.2089485920874
Winsorized Mean ( 22 / 24 )636.1111111111115.56321459532427114.342364510933
Winsorized Mean ( 23 / 24 )636.1111111111115.56321459532427114.342364510933
Winsorized Mean ( 24 / 24 )636.1111111111115.38830805317239118.053961435371
Trimmed Mean ( 1 / 24 )626.52857142857116.771274878405337.3572418299155
Trimmed Mean ( 2 / 24 )627.10294117647116.158620828763338.8091872333676
Trimmed Mean ( 3 / 24 )627.86363636363615.705831416893139.9764660461278
Trimmed Mean ( 4 / 24 )628.79687515.206795089974841.3497302541111
Trimmed Mean ( 5 / 24 )629.38709677419414.748470236596842.6747375610816
Trimmed Mean ( 6 / 24 )630.114.23905467248844.2515331595327
Trimmed Mean ( 7 / 24 )630.82758620689713.635389924658646.2639931598944
Trimmed Mean ( 8 / 24 )631.55357142857113.068598222776248.3260377787029
Trimmed Mean ( 9 / 24 )632.59259259259312.488751571157650.6529887305585
Trimmed Mean ( 10 / 24 )633.57692307692311.820118154141453.6015727435802
Trimmed Mean ( 11 / 24 )633.4811.404805288713655.5450079123143
Trimmed Mean ( 12 / 24 )633.79166666666710.999514751278557.6199660619573
Trimmed Mean ( 13 / 24 )634.26086956521710.608238289024459.7894628952144
Trimmed Mean ( 14 / 24 )634.68181818181810.143774725103662.5686034421805
Trimmed Mean ( 15 / 24 )6359.6629012651204265.7152528601447
Trimmed Mean ( 16 / 24 )635.259.2294643842702468.828479481719
Trimmed Mean ( 17 / 24 )635.5263157894748.789763285149972.303006937989
Trimmed Mean ( 18 / 24 )636.0277777777788.2709556952552276.8989462901665
Trimmed Mean ( 19 / 24 )635.8235294117657.9855563226960379.621694934975
Trimmed Mean ( 20 / 24 )635.343757.7388850283393482.0975822322477
Trimmed Mean ( 21 / 24 )634.8333333333337.4072166322815185.7047072940537
Trimmed Mean ( 22 / 24 )634.7142857142867.1960190976761288.2035299099276
Trimmed Mean ( 23 / 24 )634.5384615384627.2034672782211288.0879216952811
Trimmed Mean ( 24 / 24 )634.3333333333337.1611033344159788.5803909971181
Median633
Midrange592.5
Midmean - Weighted Average at Xnp632.918918918919
Midmean - Weighted Average at X(n+1)p636.027777777778
Midmean - Empirical Distribution Function632.918918918919
Midmean - Empirical Distribution Function - Averaging636.027777777778
Midmean - Empirical Distribution Function - Interpolation636.027777777778
Midmean - Closest Observation632.918918918919
Midmean - True Basic - Statistics Graphics Toolkit636.027777777778
Midmean - MS Excel (old versions)635.526315789474
Number of observations72



Parameters (Session):
par1 = 0.1 ; par2 = 0.9 ; par3 = 0.1 ;
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')