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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 computationWed, 19 Oct 2011 06:52:17 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Oct/19/t1319021645xclzj7vrw9auga1.htm/, Retrieved Wed, 15 May 2024 08:25:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=132757, Retrieved Wed, 15 May 2024 08:25:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDG2011W52a
Estimated Impact132
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [Datareeks - Prijz...] [2011-10-19 10:52:17] [d2e58419ee4d0035447c6fe803d7c88a] [Current]
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Dataseries X:
478,34
485,7
485,75
485,85
485,84
485,85
485,84
486
488,79
489,71
489,71
489,71
498,1
498,76
498,88
498,88
498,88
498,88
499,48
501,21
502,05
502,05
502,05
504,1
506,81
516,88
520,43
520,68
520,68
520,68
521,03
521,25
521,25
521,25
521,65
521,65
522,77
518,72
519,27
519,38
521,29
521,29
521,29
523,47
523,86
524,14
524,14
524,14
534,6
534,99
535,39
535,39
535,39
535,39
535,39
535,64
536,08
537,8
537,8
537,8
537,85
544,39
545,15
544,65
544,65
544,65
545,73
548,94
550,94
551,22
551,22
551,22




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

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=132757&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=132757&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=132757&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean518.4816666666672.43427197472845212.992497161088
Geometric Mean518.073234390479
Harmonic Mean517.66228204077
Quadratic Mean518.887234332063
Winsorized Mean ( 1 / 24 )518.5838888888892.41257984985109214.949937893619
Winsorized Mean ( 2 / 24 )518.5852777777782.41231340121989214.974255631765
Winsorized Mean ( 3 / 24 )518.5773611111112.40938006228746215.232693765538
Winsorized Mean ( 4 / 24 )518.466252.38888609558513217.032637495011
Winsorized Mean ( 5 / 24 )518.2440277777782.3503545137627220.496110158342
Winsorized Mean ( 6 / 24 )518.1956944444442.34245726905966221.218846247071
Winsorized Mean ( 7 / 24 )518.1616666666672.33179460497965222.215827054454
Winsorized Mean ( 8 / 24 )518.4716666666672.27315769185043228.08433771465
Winsorized Mean ( 9 / 24 )518.5866666666672.25219845646958230.257979787259
Winsorized Mean ( 10 / 24 )518.5505555555562.24633028758265230.843415334788
Winsorized Mean ( 11 / 24 )517.5513888888892.09683321201203246.825253398323
Winsorized Mean ( 12 / 24 )518.9413888888891.85292047645862280.06673544928
Winsorized Mean ( 13 / 24 )519.0605555555561.83419232851965282.99134582821
Winsorized Mean ( 14 / 24 )519.0838888888891.83056007228112283.565612923066
Winsorized Mean ( 15 / 24 )518.7255555555561.78014155255688291.39567851247
Winsorized Mean ( 16 / 24 )518.6277777777781.76679818606721293.541040435531
Winsorized Mean ( 17 / 24 )518.568751.75881990394661294.839027484499
Winsorized Mean ( 18 / 24 )518.718751.73528276005257298.924625969479
Winsorized Mean ( 19 / 24 )519.1752777777781.66492808348285311.830452575296
Winsorized Mean ( 20 / 24 )519.4086111111111.62969249412672318.715716604831
Winsorized Mean ( 21 / 24 )519.4086111111111.62969249412672318.715716604831
Winsorized Mean ( 22 / 24 )519.2863888888891.61287129274056321.963935514362
Winsorized Mean ( 23 / 24 )519.8166666666671.49797177691853347.013658518975
Winsorized Mean ( 24 / 24 )517.2333333333330.91988476943875562.280570912065
Trimmed Mean ( 1 / 24 )518.5874285714292.39080976506743216.908696019485
Trimmed Mean ( 2 / 24 )518.5911764705882.36402252136839219.368120135509
Trimmed Mean ( 3 / 24 )518.5943939393942.33142558836206222.436605537873
Trimmed Mean ( 4 / 24 )518.600781252.29298652797927226.168263494782
Trimmed Mean ( 5 / 24 )518.6398387096772.25347528180069230.151110552784
Trimmed Mean ( 6 / 24 )518.7348333333332.21678080703119234.003664993855
Trimmed Mean ( 7 / 24 )518.8463793103452.1733745857617238.72846526753
Trimmed Mean ( 8 / 24 )518.9721428571432.12212238643429244.553351953065
Trimmed Mean ( 9 / 24 )519.0555555555562.07307054875527250.380073108082
Trimmed Mean ( 10 / 24 )519.1276923076922.01645614152469257.44556582082
Trimmed Mean ( 11 / 24 )519.21081.94614792398749266.788969944372
Trimmed Mean ( 12 / 24 )519.4370833333331.89006125736438274.825528172388
Trimmed Mean ( 13 / 24 )519.5017391304351.87360509928131277.273871281472
Trimmed Mean ( 14 / 24 )519.5572727272731.85370580109189280.280329500635
Trimmed Mean ( 15 / 24 )519.6152380952381.82587707395916284.583910661918
Trimmed Mean ( 16 / 24 )519.7221.79731920027921289.165107633225
Trimmed Mean ( 17 / 24 )519.8515789473681.75913508936461295.515439428326
Trimmed Mean ( 18 / 24 )520.00251.70640168957678304.736278202451
Trimmed Mean ( 19 / 24 )520.1535294117651.63793944083034317.565788114899
Trimmed Mean ( 20 / 24 )520.2693751.56148063119359333.189771686317
Trimmed Mean ( 21 / 24 )520.3726666666671.4613082576085356.100544807898
Trimmed Mean ( 22 / 24 )520.4907142857141.3094014877935397.502766827312
Trimmed Mean ( 23 / 24 )520.6423076923081.07080103843119486.217596926399
Trimmed Mean ( 24 / 24 )520.750.707818909535237735.710777127912
Median521.25
Midrange514.78
Midmean - Weighted Average at Xnp518.317073170732
Midmean - Weighted Average at X(n+1)p520.418378378378
Midmean - Empirical Distribution Function518.317073170732
Midmean - Empirical Distribution Function - Averaging520.418378378378
Midmean - Empirical Distribution Function - Interpolation520.418378378378
Midmean - Closest Observation518.317073170732
Midmean - True Basic - Statistics Graphics Toolkit520.418378378378
Midmean - MS Excel (old versions)518.317073170732
Number of observations72

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 518.481666666667 & 2.43427197472845 & 212.992497161088 \tabularnewline
Geometric Mean & 518.073234390479 &  &  \tabularnewline
Harmonic Mean & 517.66228204077 &  &  \tabularnewline
Quadratic Mean & 518.887234332063 &  &  \tabularnewline
Winsorized Mean ( 1 / 24 ) & 518.583888888889 & 2.41257984985109 & 214.949937893619 \tabularnewline
Winsorized Mean ( 2 / 24 ) & 518.585277777778 & 2.41231340121989 & 214.974255631765 \tabularnewline
Winsorized Mean ( 3 / 24 ) & 518.577361111111 & 2.40938006228746 & 215.232693765538 \tabularnewline
Winsorized Mean ( 4 / 24 ) & 518.46625 & 2.38888609558513 & 217.032637495011 \tabularnewline
Winsorized Mean ( 5 / 24 ) & 518.244027777778 & 2.3503545137627 & 220.496110158342 \tabularnewline
Winsorized Mean ( 6 / 24 ) & 518.195694444444 & 2.34245726905966 & 221.218846247071 \tabularnewline
Winsorized Mean ( 7 / 24 ) & 518.161666666667 & 2.33179460497965 & 222.215827054454 \tabularnewline
Winsorized Mean ( 8 / 24 ) & 518.471666666667 & 2.27315769185043 & 228.08433771465 \tabularnewline
Winsorized Mean ( 9 / 24 ) & 518.586666666667 & 2.25219845646958 & 230.257979787259 \tabularnewline
Winsorized Mean ( 10 / 24 ) & 518.550555555556 & 2.24633028758265 & 230.843415334788 \tabularnewline
Winsorized Mean ( 11 / 24 ) & 517.551388888889 & 2.09683321201203 & 246.825253398323 \tabularnewline
Winsorized Mean ( 12 / 24 ) & 518.941388888889 & 1.85292047645862 & 280.06673544928 \tabularnewline
Winsorized Mean ( 13 / 24 ) & 519.060555555556 & 1.83419232851965 & 282.99134582821 \tabularnewline
Winsorized Mean ( 14 / 24 ) & 519.083888888889 & 1.83056007228112 & 283.565612923066 \tabularnewline
Winsorized Mean ( 15 / 24 ) & 518.725555555556 & 1.78014155255688 & 291.39567851247 \tabularnewline
Winsorized Mean ( 16 / 24 ) & 518.627777777778 & 1.76679818606721 & 293.541040435531 \tabularnewline
Winsorized Mean ( 17 / 24 ) & 518.56875 & 1.75881990394661 & 294.839027484499 \tabularnewline
Winsorized Mean ( 18 / 24 ) & 518.71875 & 1.73528276005257 & 298.924625969479 \tabularnewline
Winsorized Mean ( 19 / 24 ) & 519.175277777778 & 1.66492808348285 & 311.830452575296 \tabularnewline
Winsorized Mean ( 20 / 24 ) & 519.408611111111 & 1.62969249412672 & 318.715716604831 \tabularnewline
Winsorized Mean ( 21 / 24 ) & 519.408611111111 & 1.62969249412672 & 318.715716604831 \tabularnewline
Winsorized Mean ( 22 / 24 ) & 519.286388888889 & 1.61287129274056 & 321.963935514362 \tabularnewline
Winsorized Mean ( 23 / 24 ) & 519.816666666667 & 1.49797177691853 & 347.013658518975 \tabularnewline
Winsorized Mean ( 24 / 24 ) & 517.233333333333 & 0.91988476943875 & 562.280570912065 \tabularnewline
Trimmed Mean ( 1 / 24 ) & 518.587428571429 & 2.39080976506743 & 216.908696019485 \tabularnewline
Trimmed Mean ( 2 / 24 ) & 518.591176470588 & 2.36402252136839 & 219.368120135509 \tabularnewline
Trimmed Mean ( 3 / 24 ) & 518.594393939394 & 2.33142558836206 & 222.436605537873 \tabularnewline
Trimmed Mean ( 4 / 24 ) & 518.60078125 & 2.29298652797927 & 226.168263494782 \tabularnewline
Trimmed Mean ( 5 / 24 ) & 518.639838709677 & 2.25347528180069 & 230.151110552784 \tabularnewline
Trimmed Mean ( 6 / 24 ) & 518.734833333333 & 2.21678080703119 & 234.003664993855 \tabularnewline
Trimmed Mean ( 7 / 24 ) & 518.846379310345 & 2.1733745857617 & 238.72846526753 \tabularnewline
Trimmed Mean ( 8 / 24 ) & 518.972142857143 & 2.12212238643429 & 244.553351953065 \tabularnewline
Trimmed Mean ( 9 / 24 ) & 519.055555555556 & 2.07307054875527 & 250.380073108082 \tabularnewline
Trimmed Mean ( 10 / 24 ) & 519.127692307692 & 2.01645614152469 & 257.44556582082 \tabularnewline
Trimmed Mean ( 11 / 24 ) & 519.2108 & 1.94614792398749 & 266.788969944372 \tabularnewline
Trimmed Mean ( 12 / 24 ) & 519.437083333333 & 1.89006125736438 & 274.825528172388 \tabularnewline
Trimmed Mean ( 13 / 24 ) & 519.501739130435 & 1.87360509928131 & 277.273871281472 \tabularnewline
Trimmed Mean ( 14 / 24 ) & 519.557272727273 & 1.85370580109189 & 280.280329500635 \tabularnewline
Trimmed Mean ( 15 / 24 ) & 519.615238095238 & 1.82587707395916 & 284.583910661918 \tabularnewline
Trimmed Mean ( 16 / 24 ) & 519.722 & 1.79731920027921 & 289.165107633225 \tabularnewline
Trimmed Mean ( 17 / 24 ) & 519.851578947368 & 1.75913508936461 & 295.515439428326 \tabularnewline
Trimmed Mean ( 18 / 24 ) & 520.0025 & 1.70640168957678 & 304.736278202451 \tabularnewline
Trimmed Mean ( 19 / 24 ) & 520.153529411765 & 1.63793944083034 & 317.565788114899 \tabularnewline
Trimmed Mean ( 20 / 24 ) & 520.269375 & 1.56148063119359 & 333.189771686317 \tabularnewline
Trimmed Mean ( 21 / 24 ) & 520.372666666667 & 1.4613082576085 & 356.100544807898 \tabularnewline
Trimmed Mean ( 22 / 24 ) & 520.490714285714 & 1.3094014877935 & 397.502766827312 \tabularnewline
Trimmed Mean ( 23 / 24 ) & 520.642307692308 & 1.07080103843119 & 486.217596926399 \tabularnewline
Trimmed Mean ( 24 / 24 ) & 520.75 & 0.707818909535237 & 735.710777127912 \tabularnewline
Median & 521.25 &  &  \tabularnewline
Midrange & 514.78 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 518.317073170732 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 520.418378378378 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 518.317073170732 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 520.418378378378 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 520.418378378378 &  &  \tabularnewline
Midmean - Closest Observation & 518.317073170732 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 520.418378378378 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 518.317073170732 &  &  \tabularnewline
Number of observations & 72 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=132757&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]518.481666666667[/C][C]2.43427197472845[/C][C]212.992497161088[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]518.073234390479[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]517.66228204077[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]518.887234332063[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 24 )[/C][C]518.583888888889[/C][C]2.41257984985109[/C][C]214.949937893619[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 24 )[/C][C]518.585277777778[/C][C]2.41231340121989[/C][C]214.974255631765[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 24 )[/C][C]518.577361111111[/C][C]2.40938006228746[/C][C]215.232693765538[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 24 )[/C][C]518.46625[/C][C]2.38888609558513[/C][C]217.032637495011[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 24 )[/C][C]518.244027777778[/C][C]2.3503545137627[/C][C]220.496110158342[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 24 )[/C][C]518.195694444444[/C][C]2.34245726905966[/C][C]221.218846247071[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 24 )[/C][C]518.161666666667[/C][C]2.33179460497965[/C][C]222.215827054454[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 24 )[/C][C]518.471666666667[/C][C]2.27315769185043[/C][C]228.08433771465[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 24 )[/C][C]518.586666666667[/C][C]2.25219845646958[/C][C]230.257979787259[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 24 )[/C][C]518.550555555556[/C][C]2.24633028758265[/C][C]230.843415334788[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 24 )[/C][C]517.551388888889[/C][C]2.09683321201203[/C][C]246.825253398323[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 24 )[/C][C]518.941388888889[/C][C]1.85292047645862[/C][C]280.06673544928[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 24 )[/C][C]519.060555555556[/C][C]1.83419232851965[/C][C]282.99134582821[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 24 )[/C][C]519.083888888889[/C][C]1.83056007228112[/C][C]283.565612923066[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 24 )[/C][C]518.725555555556[/C][C]1.78014155255688[/C][C]291.39567851247[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 24 )[/C][C]518.627777777778[/C][C]1.76679818606721[/C][C]293.541040435531[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 24 )[/C][C]518.56875[/C][C]1.75881990394661[/C][C]294.839027484499[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 24 )[/C][C]518.71875[/C][C]1.73528276005257[/C][C]298.924625969479[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 24 )[/C][C]519.175277777778[/C][C]1.66492808348285[/C][C]311.830452575296[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 24 )[/C][C]519.408611111111[/C][C]1.62969249412672[/C][C]318.715716604831[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 24 )[/C][C]519.408611111111[/C][C]1.62969249412672[/C][C]318.715716604831[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 24 )[/C][C]519.286388888889[/C][C]1.61287129274056[/C][C]321.963935514362[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 24 )[/C][C]519.816666666667[/C][C]1.49797177691853[/C][C]347.013658518975[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 24 )[/C][C]517.233333333333[/C][C]0.91988476943875[/C][C]562.280570912065[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 24 )[/C][C]518.587428571429[/C][C]2.39080976506743[/C][C]216.908696019485[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 24 )[/C][C]518.591176470588[/C][C]2.36402252136839[/C][C]219.368120135509[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 24 )[/C][C]518.594393939394[/C][C]2.33142558836206[/C][C]222.436605537873[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 24 )[/C][C]518.60078125[/C][C]2.29298652797927[/C][C]226.168263494782[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 24 )[/C][C]518.639838709677[/C][C]2.25347528180069[/C][C]230.151110552784[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 24 )[/C][C]518.734833333333[/C][C]2.21678080703119[/C][C]234.003664993855[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 24 )[/C][C]518.846379310345[/C][C]2.1733745857617[/C][C]238.72846526753[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 24 )[/C][C]518.972142857143[/C][C]2.12212238643429[/C][C]244.553351953065[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 24 )[/C][C]519.055555555556[/C][C]2.07307054875527[/C][C]250.380073108082[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 24 )[/C][C]519.127692307692[/C][C]2.01645614152469[/C][C]257.44556582082[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 24 )[/C][C]519.2108[/C][C]1.94614792398749[/C][C]266.788969944372[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 24 )[/C][C]519.437083333333[/C][C]1.89006125736438[/C][C]274.825528172388[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 24 )[/C][C]519.501739130435[/C][C]1.87360509928131[/C][C]277.273871281472[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 24 )[/C][C]519.557272727273[/C][C]1.85370580109189[/C][C]280.280329500635[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 24 )[/C][C]519.615238095238[/C][C]1.82587707395916[/C][C]284.583910661918[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 24 )[/C][C]519.722[/C][C]1.79731920027921[/C][C]289.165107633225[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 24 )[/C][C]519.851578947368[/C][C]1.75913508936461[/C][C]295.515439428326[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 24 )[/C][C]520.0025[/C][C]1.70640168957678[/C][C]304.736278202451[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 24 )[/C][C]520.153529411765[/C][C]1.63793944083034[/C][C]317.565788114899[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 24 )[/C][C]520.269375[/C][C]1.56148063119359[/C][C]333.189771686317[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 24 )[/C][C]520.372666666667[/C][C]1.4613082576085[/C][C]356.100544807898[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 24 )[/C][C]520.490714285714[/C][C]1.3094014877935[/C][C]397.502766827312[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 24 )[/C][C]520.642307692308[/C][C]1.07080103843119[/C][C]486.217596926399[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 24 )[/C][C]520.75[/C][C]0.707818909535237[/C][C]735.710777127912[/C][/ROW]
[ROW][C]Median[/C][C]521.25[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]514.78[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]518.317073170732[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]520.418378378378[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]518.317073170732[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]520.418378378378[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]520.418378378378[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]518.317073170732[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]520.418378378378[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]518.317073170732[/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=132757&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=132757&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 Mean518.4816666666672.43427197472845212.992497161088
Geometric Mean518.073234390479
Harmonic Mean517.66228204077
Quadratic Mean518.887234332063
Winsorized Mean ( 1 / 24 )518.5838888888892.41257984985109214.949937893619
Winsorized Mean ( 2 / 24 )518.5852777777782.41231340121989214.974255631765
Winsorized Mean ( 3 / 24 )518.5773611111112.40938006228746215.232693765538
Winsorized Mean ( 4 / 24 )518.466252.38888609558513217.032637495011
Winsorized Mean ( 5 / 24 )518.2440277777782.3503545137627220.496110158342
Winsorized Mean ( 6 / 24 )518.1956944444442.34245726905966221.218846247071
Winsorized Mean ( 7 / 24 )518.1616666666672.33179460497965222.215827054454
Winsorized Mean ( 8 / 24 )518.4716666666672.27315769185043228.08433771465
Winsorized Mean ( 9 / 24 )518.5866666666672.25219845646958230.257979787259
Winsorized Mean ( 10 / 24 )518.5505555555562.24633028758265230.843415334788
Winsorized Mean ( 11 / 24 )517.5513888888892.09683321201203246.825253398323
Winsorized Mean ( 12 / 24 )518.9413888888891.85292047645862280.06673544928
Winsorized Mean ( 13 / 24 )519.0605555555561.83419232851965282.99134582821
Winsorized Mean ( 14 / 24 )519.0838888888891.83056007228112283.565612923066
Winsorized Mean ( 15 / 24 )518.7255555555561.78014155255688291.39567851247
Winsorized Mean ( 16 / 24 )518.6277777777781.76679818606721293.541040435531
Winsorized Mean ( 17 / 24 )518.568751.75881990394661294.839027484499
Winsorized Mean ( 18 / 24 )518.718751.73528276005257298.924625969479
Winsorized Mean ( 19 / 24 )519.1752777777781.66492808348285311.830452575296
Winsorized Mean ( 20 / 24 )519.4086111111111.62969249412672318.715716604831
Winsorized Mean ( 21 / 24 )519.4086111111111.62969249412672318.715716604831
Winsorized Mean ( 22 / 24 )519.2863888888891.61287129274056321.963935514362
Winsorized Mean ( 23 / 24 )519.8166666666671.49797177691853347.013658518975
Winsorized Mean ( 24 / 24 )517.2333333333330.91988476943875562.280570912065
Trimmed Mean ( 1 / 24 )518.5874285714292.39080976506743216.908696019485
Trimmed Mean ( 2 / 24 )518.5911764705882.36402252136839219.368120135509
Trimmed Mean ( 3 / 24 )518.5943939393942.33142558836206222.436605537873
Trimmed Mean ( 4 / 24 )518.600781252.29298652797927226.168263494782
Trimmed Mean ( 5 / 24 )518.6398387096772.25347528180069230.151110552784
Trimmed Mean ( 6 / 24 )518.7348333333332.21678080703119234.003664993855
Trimmed Mean ( 7 / 24 )518.8463793103452.1733745857617238.72846526753
Trimmed Mean ( 8 / 24 )518.9721428571432.12212238643429244.553351953065
Trimmed Mean ( 9 / 24 )519.0555555555562.07307054875527250.380073108082
Trimmed Mean ( 10 / 24 )519.1276923076922.01645614152469257.44556582082
Trimmed Mean ( 11 / 24 )519.21081.94614792398749266.788969944372
Trimmed Mean ( 12 / 24 )519.4370833333331.89006125736438274.825528172388
Trimmed Mean ( 13 / 24 )519.5017391304351.87360509928131277.273871281472
Trimmed Mean ( 14 / 24 )519.5572727272731.85370580109189280.280329500635
Trimmed Mean ( 15 / 24 )519.6152380952381.82587707395916284.583910661918
Trimmed Mean ( 16 / 24 )519.7221.79731920027921289.165107633225
Trimmed Mean ( 17 / 24 )519.8515789473681.75913508936461295.515439428326
Trimmed Mean ( 18 / 24 )520.00251.70640168957678304.736278202451
Trimmed Mean ( 19 / 24 )520.1535294117651.63793944083034317.565788114899
Trimmed Mean ( 20 / 24 )520.2693751.56148063119359333.189771686317
Trimmed Mean ( 21 / 24 )520.3726666666671.4613082576085356.100544807898
Trimmed Mean ( 22 / 24 )520.4907142857141.3094014877935397.502766827312
Trimmed Mean ( 23 / 24 )520.6423076923081.07080103843119486.217596926399
Trimmed Mean ( 24 / 24 )520.750.707818909535237735.710777127912
Median521.25
Midrange514.78
Midmean - Weighted Average at Xnp518.317073170732
Midmean - Weighted Average at X(n+1)p520.418378378378
Midmean - Empirical Distribution Function518.317073170732
Midmean - Empirical Distribution Function - Averaging520.418378378378
Midmean - Empirical Distribution Function - Interpolation520.418378378378
Midmean - Closest Observation518.317073170732
Midmean - True Basic - Statistics Graphics Toolkit520.418378378378
Midmean - MS Excel (old versions)518.317073170732
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')