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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 computationThu, 11 Nov 2010 18:19:39 +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/2010/Nov/11/t1289499496n1x84nnk42vrcx4.htm/, Retrieved Thu, 28 Mar 2024 09:42:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=93674, Retrieved Thu, 28 Mar 2024 09:42:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact126
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [Arabica Price in ...] [2008-01-06 21:28:17] [74be16979710d4c4e7c6647856088456]
-  MPD  [Central Tendency] [Schermbreedte] [2010-11-11 17:48:21] [6bc4f9343b7ea3ef5a59412d1f72bb2b]
-    D      [Central Tendency] [Schermhoogte] [2010-11-11 18:19:39] [b6992a7b26e556359948e164e4227eba] [Current]
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Dataseries X:
1024
768
700
768
800
1024
800
768
800
1024
800
800
1024
949
900
1200
800
800
768
735
800
845
900
768
768
768
800
1440
768
768
1024
800
900
800
900
768
900
857
800
900
800
768
768
880
768
735
1200
785
800
800
900
1050
900
768
641
1024
800
800
800
800
900
800
864
1024
800
900
800
1024
900
800
800
900
800
1024
900
768
768
800
800
900
768
800
768
800
900
800
800
880
800
900
900
1050
900
900
550
800
990
800
800
800
768
768
900
800
1024
1080
768
768
900
698
900
737
768
640
800
900
800
800
800
900
800
768
768
864
768
768
768
1050
1050
800
768
768
900
768
800
800
800
768
800




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

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=93674&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=93674&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93674&T=0

As an alternative you can also use a QR Code:  

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

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







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean844.5035971223029.682222126405187.222084568706
Geometric Mean837.609122518122
Harmonic Mean831.27948712197
Quadratic Mean852.128625410862
Winsorized Mean ( 1 / 46 )843.4244604316558.9161163338243194.595497507365
Winsorized Mean ( 2 / 46 )843.4388489208638.9137429499593294.6222988093585
Winsorized Mean ( 3 / 46 )842.0791366906478.07519313136677104.279751950418
Winsorized Mean ( 4 / 46 )841.2733812949647.89275423172826106.588062493205
Winsorized Mean ( 5 / 46 )842.532374100727.74762418747425108.747191876299
Winsorized Mean ( 6 / 46 )842.532374100727.74762418747425108.747191876299
Winsorized Mean ( 7 / 46 )842.633093525187.73757723977849108.90141285999
Winsorized Mean ( 8 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 9 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 10 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 11 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 12 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 13 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 14 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 15 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 16 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 17 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 18 / 46 )838.5179856115116.53554202917052128.301215395586
Winsorized Mean ( 19 / 46 )832.9136690647485.64332298923209147.592769482451
Winsorized Mean ( 20 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 21 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 22 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 23 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 24 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 25 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 26 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 27 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 28 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 29 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 30 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 31 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 32 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 33 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 34 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 35 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 36 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 37 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 38 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 39 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 40 / 46 )830.7553956834534.29597607773788193.379893335184
Winsorized Mean ( 41 / 46 )835.1798561151083.98252689469319209.711039799381
Winsorized Mean ( 42 / 46 )835.1798561151083.98252689469319209.711039799381
Winsorized Mean ( 43 / 46 )835.1798561151083.98252689469319209.711039799381
Winsorized Mean ( 44 / 46 )835.1798561151083.98252689469319209.711039799381
Winsorized Mean ( 45 / 46 )828.7050359712233.2268432376727256.816019537693
Winsorized Mean ( 46 / 46 )828.7050359712233.2268432376727256.816019537693
Trimmed Mean ( 1 / 46 )842.3065693430668.5316799203428498.726930359246
Trimmed Mean ( 2 / 46 )841.1555555555568.10095140538313103.834168786225
Trimmed Mean ( 3 / 46 )839.9624060150387.61537972998585110.298164477295
Trimmed Mean ( 4 / 46 )839.2137404580157.43062656266285112.939835339710
Trimmed Mean ( 5 / 46 )838.6589147286827.28556081114231115.112471979654
Trimmed Mean ( 6 / 46 )837.8110236220477.1625888267159116.970420038224
Trimmed Mean ( 7 / 46 )836.9367.02647292789573119.111823042438
Trimmed Mean ( 8 / 46 )836.0162601626026.87742284003803121.55952594562
Trimmed Mean ( 9 / 46 )835.024793388436.79128495582598122.955346273917
Trimmed Mean ( 10 / 46 )8346.69473982884118124.575416121042
Trimmed Mean ( 11 / 46 )832.9401709401716.58643465879923126.462982491961
Trimmed Mean ( 12 / 46 )831.843478260876.46476799413982128.673369100781
Trimmed Mean ( 13 / 46 )830.707964601776.32782371292331131.278619994614
Trimmed Mean ( 14 / 46 )829.5315315315326.17328024601795134.374513787320
Trimmed Mean ( 15 / 46 )828.3119266055055.99828236326852138.091519611983
Trimmed Mean ( 16 / 46 )827.0467289719635.79925422177327142.612601093917
Trimmed Mean ( 17 / 46 )825.7333333333335.57161610153697148.203558587884
Trimmed Mean ( 18 / 46 )824.3689320388355.30933451470225155.267845669932
Trimmed Mean ( 19 / 46 )823.2871287128715.12637012129708160.598456458029
Trimmed Mean ( 20 / 46 )822.5757575757585.04069383038795163.187010608904
Trimmed Mean ( 21 / 46 )822.3402061855675.05060062855688162.820279539809
Trimmed Mean ( 22 / 46 )822.0947368421055.05895973629807162.502723819597
Trimmed Mean ( 23 / 46 )821.838709677425.06554260746434162.241002270201
Trimmed Mean ( 24 / 46 )821.5714285714295.07008615227472162.042893137590
Trimmed Mean ( 25 / 46 )821.2921348314615.07228651216481161.917536176587
Trimmed Mean ( 26 / 46 )8215.07179146832843161.875740579410
Trimmed Mean ( 27 / 46 )820.6941176470595.06819111840905161.930380775515
Trimmed Mean ( 28 / 46 )820.3734939759045.06100633703542162.096911037747
Trimmed Mean ( 29 / 46 )820.0370370370375.04967437051988162.394043034623
Trimmed Mean ( 30 / 46 )819.6835443037975.03353068208492162.844650420265
Trimmed Mean ( 31 / 46 )819.3116883116885.01178582714009163.476995340644
Trimmed Mean ( 32 / 46 )818.924.98349564350455164.326420364664
Trimmed Mean ( 33 / 46 )818.5068493150694.94752229887812165.437728193902
Trimmed Mean ( 34 / 46 )818.0704225352114.90248259466679166.868603149179
Trimmed Mean ( 35 / 46 )817.6086956521744.84667811424448168.694655675442
Trimmed Mean ( 36 / 46 )817.1194029850754.77799883871752171.017078606993
Trimmed Mean ( 37 / 46 )816.64.69378680975016173.974667597539
Trimmed Mean ( 38 / 46 )816.0476190476194.59063744609719177.763465015386
Trimmed Mean ( 39 / 46 )815.4590163934434.46409928073367182.670448193845
Trimmed Mean ( 40 / 46 )814.8305084745764.30819917075562189.134827843083
Trimmed Mean ( 41 / 46 )813.8596491228074.16291349233547195.502416906150
Trimmed Mean ( 42 / 46 )812.5454545454554.0037707968635202.945047499221
Trimmed Mean ( 43 / 46 )811.1320754716983.79529134363285213.720634868385
Trimmed Mean ( 44 / 46 )809.6078431372553.51791810440661230.138342937297
Trimmed Mean ( 45 / 46 )807.959183673473.13811319233160257.46655208226
Trimmed Mean ( 46 / 46 )806.5957446808512.87105874717981280.940174238216
Median800
Midrange995
Midmean - Weighted Average at Xnp816.675675675676
Midmean - Weighted Average at X(n+1)p816.675675675676
Midmean - Empirical Distribution Function816.675675675676
Midmean - Empirical Distribution Function - Averaging816.675675675676
Midmean - Empirical Distribution Function - Interpolation816.675675675676
Midmean - Closest Observation816.675675675676
Midmean - True Basic - Statistics Graphics Toolkit816.675675675676
Midmean - MS Excel (old versions)816.675675675676
Number of observations139

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 844.503597122302 & 9.6822221264051 & 87.222084568706 \tabularnewline
Geometric Mean & 837.609122518122 &  &  \tabularnewline
Harmonic Mean & 831.27948712197 &  &  \tabularnewline
Quadratic Mean & 852.128625410862 &  &  \tabularnewline
Winsorized Mean ( 1 / 46 ) & 843.424460431655 & 8.91611633382431 & 94.595497507365 \tabularnewline
Winsorized Mean ( 2 / 46 ) & 843.438848920863 & 8.91374294995932 & 94.6222988093585 \tabularnewline
Winsorized Mean ( 3 / 46 ) & 842.079136690647 & 8.07519313136677 & 104.279751950418 \tabularnewline
Winsorized Mean ( 4 / 46 ) & 841.273381294964 & 7.89275423172826 & 106.588062493205 \tabularnewline
Winsorized Mean ( 5 / 46 ) & 842.53237410072 & 7.74762418747425 & 108.747191876299 \tabularnewline
Winsorized Mean ( 6 / 46 ) & 842.53237410072 & 7.74762418747425 & 108.747191876299 \tabularnewline
Winsorized Mean ( 7 / 46 ) & 842.63309352518 & 7.73757723977849 & 108.90141285999 \tabularnewline
Winsorized Mean ( 8 / 46 ) & 842.920863309353 & 7.30230398529896 & 115.432179351384 \tabularnewline
Winsorized Mean ( 9 / 46 ) & 842.920863309353 & 7.30230398529896 & 115.432179351384 \tabularnewline
Winsorized Mean ( 10 / 46 ) & 842.920863309353 & 7.30230398529896 & 115.432179351384 \tabularnewline
Winsorized Mean ( 11 / 46 ) & 842.920863309353 & 7.30230398529896 & 115.432179351384 \tabularnewline
Winsorized Mean ( 12 / 46 ) & 842.920863309353 & 7.30230398529896 & 115.432179351384 \tabularnewline
Winsorized Mean ( 13 / 46 ) & 842.920863309353 & 7.30230398529896 & 115.432179351384 \tabularnewline
Winsorized Mean ( 14 / 46 ) & 842.920863309353 & 7.30230398529896 & 115.432179351384 \tabularnewline
Winsorized Mean ( 15 / 46 ) & 842.920863309353 & 7.30230398529896 & 115.432179351384 \tabularnewline
Winsorized Mean ( 16 / 46 ) & 842.920863309353 & 7.30230398529896 & 115.432179351384 \tabularnewline
Winsorized Mean ( 17 / 46 ) & 842.920863309353 & 7.30230398529896 & 115.432179351384 \tabularnewline
Winsorized Mean ( 18 / 46 ) & 838.517985611511 & 6.53554202917052 & 128.301215395586 \tabularnewline
Winsorized Mean ( 19 / 46 ) & 832.913669064748 & 5.64332298923209 & 147.592769482451 \tabularnewline
Winsorized Mean ( 20 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 21 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 22 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 23 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 24 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 25 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 26 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 27 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 28 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 29 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 30 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 31 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 32 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 33 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 34 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 35 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 36 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 37 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 38 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 39 / 46 ) & 825.863309352518 & 4.70411344362197 & 175.561945784334 \tabularnewline
Winsorized Mean ( 40 / 46 ) & 830.755395683453 & 4.29597607773788 & 193.379893335184 \tabularnewline
Winsorized Mean ( 41 / 46 ) & 835.179856115108 & 3.98252689469319 & 209.711039799381 \tabularnewline
Winsorized Mean ( 42 / 46 ) & 835.179856115108 & 3.98252689469319 & 209.711039799381 \tabularnewline
Winsorized Mean ( 43 / 46 ) & 835.179856115108 & 3.98252689469319 & 209.711039799381 \tabularnewline
Winsorized Mean ( 44 / 46 ) & 835.179856115108 & 3.98252689469319 & 209.711039799381 \tabularnewline
Winsorized Mean ( 45 / 46 ) & 828.705035971223 & 3.2268432376727 & 256.816019537693 \tabularnewline
Winsorized Mean ( 46 / 46 ) & 828.705035971223 & 3.2268432376727 & 256.816019537693 \tabularnewline
Trimmed Mean ( 1 / 46 ) & 842.306569343066 & 8.53167992034284 & 98.726930359246 \tabularnewline
Trimmed Mean ( 2 / 46 ) & 841.155555555556 & 8.10095140538313 & 103.834168786225 \tabularnewline
Trimmed Mean ( 3 / 46 ) & 839.962406015038 & 7.61537972998585 & 110.298164477295 \tabularnewline
Trimmed Mean ( 4 / 46 ) & 839.213740458015 & 7.43062656266285 & 112.939835339710 \tabularnewline
Trimmed Mean ( 5 / 46 ) & 838.658914728682 & 7.28556081114231 & 115.112471979654 \tabularnewline
Trimmed Mean ( 6 / 46 ) & 837.811023622047 & 7.1625888267159 & 116.970420038224 \tabularnewline
Trimmed Mean ( 7 / 46 ) & 836.936 & 7.02647292789573 & 119.111823042438 \tabularnewline
Trimmed Mean ( 8 / 46 ) & 836.016260162602 & 6.87742284003803 & 121.55952594562 \tabularnewline
Trimmed Mean ( 9 / 46 ) & 835.02479338843 & 6.79128495582598 & 122.955346273917 \tabularnewline
Trimmed Mean ( 10 / 46 ) & 834 & 6.69473982884118 & 124.575416121042 \tabularnewline
Trimmed Mean ( 11 / 46 ) & 832.940170940171 & 6.58643465879923 & 126.462982491961 \tabularnewline
Trimmed Mean ( 12 / 46 ) & 831.84347826087 & 6.46476799413982 & 128.673369100781 \tabularnewline
Trimmed Mean ( 13 / 46 ) & 830.70796460177 & 6.32782371292331 & 131.278619994614 \tabularnewline
Trimmed Mean ( 14 / 46 ) & 829.531531531532 & 6.17328024601795 & 134.374513787320 \tabularnewline
Trimmed Mean ( 15 / 46 ) & 828.311926605505 & 5.99828236326852 & 138.091519611983 \tabularnewline
Trimmed Mean ( 16 / 46 ) & 827.046728971963 & 5.79925422177327 & 142.612601093917 \tabularnewline
Trimmed Mean ( 17 / 46 ) & 825.733333333333 & 5.57161610153697 & 148.203558587884 \tabularnewline
Trimmed Mean ( 18 / 46 ) & 824.368932038835 & 5.30933451470225 & 155.267845669932 \tabularnewline
Trimmed Mean ( 19 / 46 ) & 823.287128712871 & 5.12637012129708 & 160.598456458029 \tabularnewline
Trimmed Mean ( 20 / 46 ) & 822.575757575758 & 5.04069383038795 & 163.187010608904 \tabularnewline
Trimmed Mean ( 21 / 46 ) & 822.340206185567 & 5.05060062855688 & 162.820279539809 \tabularnewline
Trimmed Mean ( 22 / 46 ) & 822.094736842105 & 5.05895973629807 & 162.502723819597 \tabularnewline
Trimmed Mean ( 23 / 46 ) & 821.83870967742 & 5.06554260746434 & 162.241002270201 \tabularnewline
Trimmed Mean ( 24 / 46 ) & 821.571428571429 & 5.07008615227472 & 162.042893137590 \tabularnewline
Trimmed Mean ( 25 / 46 ) & 821.292134831461 & 5.07228651216481 & 161.917536176587 \tabularnewline
Trimmed Mean ( 26 / 46 ) & 821 & 5.07179146832843 & 161.875740579410 \tabularnewline
Trimmed Mean ( 27 / 46 ) & 820.694117647059 & 5.06819111840905 & 161.930380775515 \tabularnewline
Trimmed Mean ( 28 / 46 ) & 820.373493975904 & 5.06100633703542 & 162.096911037747 \tabularnewline
Trimmed Mean ( 29 / 46 ) & 820.037037037037 & 5.04967437051988 & 162.394043034623 \tabularnewline
Trimmed Mean ( 30 / 46 ) & 819.683544303797 & 5.03353068208492 & 162.844650420265 \tabularnewline
Trimmed Mean ( 31 / 46 ) & 819.311688311688 & 5.01178582714009 & 163.476995340644 \tabularnewline
Trimmed Mean ( 32 / 46 ) & 818.92 & 4.98349564350455 & 164.326420364664 \tabularnewline
Trimmed Mean ( 33 / 46 ) & 818.506849315069 & 4.94752229887812 & 165.437728193902 \tabularnewline
Trimmed Mean ( 34 / 46 ) & 818.070422535211 & 4.90248259466679 & 166.868603149179 \tabularnewline
Trimmed Mean ( 35 / 46 ) & 817.608695652174 & 4.84667811424448 & 168.694655675442 \tabularnewline
Trimmed Mean ( 36 / 46 ) & 817.119402985075 & 4.77799883871752 & 171.017078606993 \tabularnewline
Trimmed Mean ( 37 / 46 ) & 816.6 & 4.69378680975016 & 173.974667597539 \tabularnewline
Trimmed Mean ( 38 / 46 ) & 816.047619047619 & 4.59063744609719 & 177.763465015386 \tabularnewline
Trimmed Mean ( 39 / 46 ) & 815.459016393443 & 4.46409928073367 & 182.670448193845 \tabularnewline
Trimmed Mean ( 40 / 46 ) & 814.830508474576 & 4.30819917075562 & 189.134827843083 \tabularnewline
Trimmed Mean ( 41 / 46 ) & 813.859649122807 & 4.16291349233547 & 195.502416906150 \tabularnewline
Trimmed Mean ( 42 / 46 ) & 812.545454545455 & 4.0037707968635 & 202.945047499221 \tabularnewline
Trimmed Mean ( 43 / 46 ) & 811.132075471698 & 3.79529134363285 & 213.720634868385 \tabularnewline
Trimmed Mean ( 44 / 46 ) & 809.607843137255 & 3.51791810440661 & 230.138342937297 \tabularnewline
Trimmed Mean ( 45 / 46 ) & 807.95918367347 & 3.13811319233160 & 257.46655208226 \tabularnewline
Trimmed Mean ( 46 / 46 ) & 806.595744680851 & 2.87105874717981 & 280.940174238216 \tabularnewline
Median & 800 &  &  \tabularnewline
Midrange & 995 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 816.675675675676 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 816.675675675676 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 816.675675675676 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 816.675675675676 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 816.675675675676 &  &  \tabularnewline
Midmean - Closest Observation & 816.675675675676 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 816.675675675676 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 816.675675675676 &  &  \tabularnewline
Number of observations & 139 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=93674&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]844.503597122302[/C][C]9.6822221264051[/C][C]87.222084568706[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]837.609122518122[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]831.27948712197[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]852.128625410862[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 46 )[/C][C]843.424460431655[/C][C]8.91611633382431[/C][C]94.595497507365[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 46 )[/C][C]843.438848920863[/C][C]8.91374294995932[/C][C]94.6222988093585[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 46 )[/C][C]842.079136690647[/C][C]8.07519313136677[/C][C]104.279751950418[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 46 )[/C][C]841.273381294964[/C][C]7.89275423172826[/C][C]106.588062493205[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 46 )[/C][C]842.53237410072[/C][C]7.74762418747425[/C][C]108.747191876299[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 46 )[/C][C]842.53237410072[/C][C]7.74762418747425[/C][C]108.747191876299[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 46 )[/C][C]842.63309352518[/C][C]7.73757723977849[/C][C]108.90141285999[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 46 )[/C][C]842.920863309353[/C][C]7.30230398529896[/C][C]115.432179351384[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 46 )[/C][C]842.920863309353[/C][C]7.30230398529896[/C][C]115.432179351384[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 46 )[/C][C]842.920863309353[/C][C]7.30230398529896[/C][C]115.432179351384[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 46 )[/C][C]842.920863309353[/C][C]7.30230398529896[/C][C]115.432179351384[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 46 )[/C][C]842.920863309353[/C][C]7.30230398529896[/C][C]115.432179351384[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 46 )[/C][C]842.920863309353[/C][C]7.30230398529896[/C][C]115.432179351384[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 46 )[/C][C]842.920863309353[/C][C]7.30230398529896[/C][C]115.432179351384[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 46 )[/C][C]842.920863309353[/C][C]7.30230398529896[/C][C]115.432179351384[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 46 )[/C][C]842.920863309353[/C][C]7.30230398529896[/C][C]115.432179351384[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 46 )[/C][C]842.920863309353[/C][C]7.30230398529896[/C][C]115.432179351384[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 46 )[/C][C]838.517985611511[/C][C]6.53554202917052[/C][C]128.301215395586[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 46 )[/C][C]832.913669064748[/C][C]5.64332298923209[/C][C]147.592769482451[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 46 )[/C][C]825.863309352518[/C][C]4.70411344362197[/C][C]175.561945784334[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 46 )[/C][C]830.755395683453[/C][C]4.29597607773788[/C][C]193.379893335184[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 46 )[/C][C]835.179856115108[/C][C]3.98252689469319[/C][C]209.711039799381[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 46 )[/C][C]835.179856115108[/C][C]3.98252689469319[/C][C]209.711039799381[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 46 )[/C][C]835.179856115108[/C][C]3.98252689469319[/C][C]209.711039799381[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 46 )[/C][C]835.179856115108[/C][C]3.98252689469319[/C][C]209.711039799381[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 46 )[/C][C]828.705035971223[/C][C]3.2268432376727[/C][C]256.816019537693[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 46 )[/C][C]828.705035971223[/C][C]3.2268432376727[/C][C]256.816019537693[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 46 )[/C][C]842.306569343066[/C][C]8.53167992034284[/C][C]98.726930359246[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 46 )[/C][C]841.155555555556[/C][C]8.10095140538313[/C][C]103.834168786225[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 46 )[/C][C]839.962406015038[/C][C]7.61537972998585[/C][C]110.298164477295[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 46 )[/C][C]839.213740458015[/C][C]7.43062656266285[/C][C]112.939835339710[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 46 )[/C][C]838.658914728682[/C][C]7.28556081114231[/C][C]115.112471979654[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 46 )[/C][C]837.811023622047[/C][C]7.1625888267159[/C][C]116.970420038224[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 46 )[/C][C]836.936[/C][C]7.02647292789573[/C][C]119.111823042438[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 46 )[/C][C]836.016260162602[/C][C]6.87742284003803[/C][C]121.55952594562[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 46 )[/C][C]835.02479338843[/C][C]6.79128495582598[/C][C]122.955346273917[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 46 )[/C][C]834[/C][C]6.69473982884118[/C][C]124.575416121042[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 46 )[/C][C]832.940170940171[/C][C]6.58643465879923[/C][C]126.462982491961[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 46 )[/C][C]831.84347826087[/C][C]6.46476799413982[/C][C]128.673369100781[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 46 )[/C][C]830.70796460177[/C][C]6.32782371292331[/C][C]131.278619994614[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 46 )[/C][C]829.531531531532[/C][C]6.17328024601795[/C][C]134.374513787320[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 46 )[/C][C]828.311926605505[/C][C]5.99828236326852[/C][C]138.091519611983[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 46 )[/C][C]827.046728971963[/C][C]5.79925422177327[/C][C]142.612601093917[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 46 )[/C][C]825.733333333333[/C][C]5.57161610153697[/C][C]148.203558587884[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 46 )[/C][C]824.368932038835[/C][C]5.30933451470225[/C][C]155.267845669932[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 46 )[/C][C]823.287128712871[/C][C]5.12637012129708[/C][C]160.598456458029[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 46 )[/C][C]822.575757575758[/C][C]5.04069383038795[/C][C]163.187010608904[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 46 )[/C][C]822.340206185567[/C][C]5.05060062855688[/C][C]162.820279539809[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 46 )[/C][C]822.094736842105[/C][C]5.05895973629807[/C][C]162.502723819597[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 46 )[/C][C]821.83870967742[/C][C]5.06554260746434[/C][C]162.241002270201[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 46 )[/C][C]821.571428571429[/C][C]5.07008615227472[/C][C]162.042893137590[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 46 )[/C][C]821.292134831461[/C][C]5.07228651216481[/C][C]161.917536176587[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 46 )[/C][C]821[/C][C]5.07179146832843[/C][C]161.875740579410[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 46 )[/C][C]820.694117647059[/C][C]5.06819111840905[/C][C]161.930380775515[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 46 )[/C][C]820.373493975904[/C][C]5.06100633703542[/C][C]162.096911037747[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 46 )[/C][C]820.037037037037[/C][C]5.04967437051988[/C][C]162.394043034623[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 46 )[/C][C]819.683544303797[/C][C]5.03353068208492[/C][C]162.844650420265[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 46 )[/C][C]819.311688311688[/C][C]5.01178582714009[/C][C]163.476995340644[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 46 )[/C][C]818.92[/C][C]4.98349564350455[/C][C]164.326420364664[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 46 )[/C][C]818.506849315069[/C][C]4.94752229887812[/C][C]165.437728193902[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 46 )[/C][C]818.070422535211[/C][C]4.90248259466679[/C][C]166.868603149179[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 46 )[/C][C]817.608695652174[/C][C]4.84667811424448[/C][C]168.694655675442[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 46 )[/C][C]817.119402985075[/C][C]4.77799883871752[/C][C]171.017078606993[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 46 )[/C][C]816.6[/C][C]4.69378680975016[/C][C]173.974667597539[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 46 )[/C][C]816.047619047619[/C][C]4.59063744609719[/C][C]177.763465015386[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 46 )[/C][C]815.459016393443[/C][C]4.46409928073367[/C][C]182.670448193845[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 46 )[/C][C]814.830508474576[/C][C]4.30819917075562[/C][C]189.134827843083[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 46 )[/C][C]813.859649122807[/C][C]4.16291349233547[/C][C]195.502416906150[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 46 )[/C][C]812.545454545455[/C][C]4.0037707968635[/C][C]202.945047499221[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 46 )[/C][C]811.132075471698[/C][C]3.79529134363285[/C][C]213.720634868385[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 46 )[/C][C]809.607843137255[/C][C]3.51791810440661[/C][C]230.138342937297[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 46 )[/C][C]807.95918367347[/C][C]3.13811319233160[/C][C]257.46655208226[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 46 )[/C][C]806.595744680851[/C][C]2.87105874717981[/C][C]280.940174238216[/C][/ROW]
[ROW][C]Median[/C][C]800[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]995[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]816.675675675676[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]816.675675675676[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]816.675675675676[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]816.675675675676[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]816.675675675676[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]816.675675675676[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]816.675675675676[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]816.675675675676[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]139[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=93674&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93674&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 Mean844.5035971223029.682222126405187.222084568706
Geometric Mean837.609122518122
Harmonic Mean831.27948712197
Quadratic Mean852.128625410862
Winsorized Mean ( 1 / 46 )843.4244604316558.9161163338243194.595497507365
Winsorized Mean ( 2 / 46 )843.4388489208638.9137429499593294.6222988093585
Winsorized Mean ( 3 / 46 )842.0791366906478.07519313136677104.279751950418
Winsorized Mean ( 4 / 46 )841.2733812949647.89275423172826106.588062493205
Winsorized Mean ( 5 / 46 )842.532374100727.74762418747425108.747191876299
Winsorized Mean ( 6 / 46 )842.532374100727.74762418747425108.747191876299
Winsorized Mean ( 7 / 46 )842.633093525187.73757723977849108.90141285999
Winsorized Mean ( 8 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 9 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 10 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 11 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 12 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 13 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 14 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 15 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 16 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 17 / 46 )842.9208633093537.30230398529896115.432179351384
Winsorized Mean ( 18 / 46 )838.5179856115116.53554202917052128.301215395586
Winsorized Mean ( 19 / 46 )832.9136690647485.64332298923209147.592769482451
Winsorized Mean ( 20 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 21 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 22 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 23 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 24 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 25 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 26 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 27 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 28 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 29 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 30 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 31 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 32 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 33 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 34 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 35 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 36 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 37 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 38 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 39 / 46 )825.8633093525184.70411344362197175.561945784334
Winsorized Mean ( 40 / 46 )830.7553956834534.29597607773788193.379893335184
Winsorized Mean ( 41 / 46 )835.1798561151083.98252689469319209.711039799381
Winsorized Mean ( 42 / 46 )835.1798561151083.98252689469319209.711039799381
Winsorized Mean ( 43 / 46 )835.1798561151083.98252689469319209.711039799381
Winsorized Mean ( 44 / 46 )835.1798561151083.98252689469319209.711039799381
Winsorized Mean ( 45 / 46 )828.7050359712233.2268432376727256.816019537693
Winsorized Mean ( 46 / 46 )828.7050359712233.2268432376727256.816019537693
Trimmed Mean ( 1 / 46 )842.3065693430668.5316799203428498.726930359246
Trimmed Mean ( 2 / 46 )841.1555555555568.10095140538313103.834168786225
Trimmed Mean ( 3 / 46 )839.9624060150387.61537972998585110.298164477295
Trimmed Mean ( 4 / 46 )839.2137404580157.43062656266285112.939835339710
Trimmed Mean ( 5 / 46 )838.6589147286827.28556081114231115.112471979654
Trimmed Mean ( 6 / 46 )837.8110236220477.1625888267159116.970420038224
Trimmed Mean ( 7 / 46 )836.9367.02647292789573119.111823042438
Trimmed Mean ( 8 / 46 )836.0162601626026.87742284003803121.55952594562
Trimmed Mean ( 9 / 46 )835.024793388436.79128495582598122.955346273917
Trimmed Mean ( 10 / 46 )8346.69473982884118124.575416121042
Trimmed Mean ( 11 / 46 )832.9401709401716.58643465879923126.462982491961
Trimmed Mean ( 12 / 46 )831.843478260876.46476799413982128.673369100781
Trimmed Mean ( 13 / 46 )830.707964601776.32782371292331131.278619994614
Trimmed Mean ( 14 / 46 )829.5315315315326.17328024601795134.374513787320
Trimmed Mean ( 15 / 46 )828.3119266055055.99828236326852138.091519611983
Trimmed Mean ( 16 / 46 )827.0467289719635.79925422177327142.612601093917
Trimmed Mean ( 17 / 46 )825.7333333333335.57161610153697148.203558587884
Trimmed Mean ( 18 / 46 )824.3689320388355.30933451470225155.267845669932
Trimmed Mean ( 19 / 46 )823.2871287128715.12637012129708160.598456458029
Trimmed Mean ( 20 / 46 )822.5757575757585.04069383038795163.187010608904
Trimmed Mean ( 21 / 46 )822.3402061855675.05060062855688162.820279539809
Trimmed Mean ( 22 / 46 )822.0947368421055.05895973629807162.502723819597
Trimmed Mean ( 23 / 46 )821.838709677425.06554260746434162.241002270201
Trimmed Mean ( 24 / 46 )821.5714285714295.07008615227472162.042893137590
Trimmed Mean ( 25 / 46 )821.2921348314615.07228651216481161.917536176587
Trimmed Mean ( 26 / 46 )8215.07179146832843161.875740579410
Trimmed Mean ( 27 / 46 )820.6941176470595.06819111840905161.930380775515
Trimmed Mean ( 28 / 46 )820.3734939759045.06100633703542162.096911037747
Trimmed Mean ( 29 / 46 )820.0370370370375.04967437051988162.394043034623
Trimmed Mean ( 30 / 46 )819.6835443037975.03353068208492162.844650420265
Trimmed Mean ( 31 / 46 )819.3116883116885.01178582714009163.476995340644
Trimmed Mean ( 32 / 46 )818.924.98349564350455164.326420364664
Trimmed Mean ( 33 / 46 )818.5068493150694.94752229887812165.437728193902
Trimmed Mean ( 34 / 46 )818.0704225352114.90248259466679166.868603149179
Trimmed Mean ( 35 / 46 )817.6086956521744.84667811424448168.694655675442
Trimmed Mean ( 36 / 46 )817.1194029850754.77799883871752171.017078606993
Trimmed Mean ( 37 / 46 )816.64.69378680975016173.974667597539
Trimmed Mean ( 38 / 46 )816.0476190476194.59063744609719177.763465015386
Trimmed Mean ( 39 / 46 )815.4590163934434.46409928073367182.670448193845
Trimmed Mean ( 40 / 46 )814.8305084745764.30819917075562189.134827843083
Trimmed Mean ( 41 / 46 )813.8596491228074.16291349233547195.502416906150
Trimmed Mean ( 42 / 46 )812.5454545454554.0037707968635202.945047499221
Trimmed Mean ( 43 / 46 )811.1320754716983.79529134363285213.720634868385
Trimmed Mean ( 44 / 46 )809.6078431372553.51791810440661230.138342937297
Trimmed Mean ( 45 / 46 )807.959183673473.13811319233160257.46655208226
Trimmed Mean ( 46 / 46 )806.5957446808512.87105874717981280.940174238216
Median800
Midrange995
Midmean - Weighted Average at Xnp816.675675675676
Midmean - Weighted Average at X(n+1)p816.675675675676
Midmean - Empirical Distribution Function816.675675675676
Midmean - Empirical Distribution Function - Averaging816.675675675676
Midmean - Empirical Distribution Function - Interpolation816.675675675676
Midmean - Closest Observation816.675675675676
Midmean - True Basic - Statistics Graphics Toolkit816.675675675676
Midmean - MS Excel (old versions)816.675675675676
Number of observations139



Parameters (Session):
par2 = grey ; par3 = FALSE ; par4 = Unknown ;
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')