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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 computationFri, 12 Nov 2010 16:09:32 +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/12/t1289578101q7cxi1zrzt8w3wk.htm/, Retrieved Fri, 29 Mar 2024 11:42:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=94225, Retrieved Fri, 29 Mar 2024 11:42:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact139
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]
- RM D  [Central Tendency] [US car sales] [2010-11-06 13:18:47] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-    D      [Central Tendency] [Winsorized en tri...] [2010-11-12 16:09:32] [ecfb965f5669057f3ac5b58964283289] [Current]
-    D        [Central Tendency] [export van petroleum] [2010-11-12 17:22:47] [39c51da0be01189e8a44eb69e891b7a1]
- R  D          [Central Tendency] [Winsorized Mean Yt] [2010-12-18 11:28:52] [39c51da0be01189e8a44eb69e891b7a1]
-    D        [Central Tendency] [univariate analys...] [2010-12-18 09:18:32] [39c51da0be01189e8a44eb69e891b7a1]
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Dataseries X:
0,892201
1,007095
0,966709
1,003381
0,950054
0,942173
0,938196
0,731490
0,815207
0,841577
0,896191
0,918043
0,819296
0,907075
0,892324
0,927952
0,897811
0,917274
0,909615
0,876498
0,918068
0,888221
0,928924
0,921158
0,832321
0,918037
0,902913
0,934450
0,886786
0,903352
0,883465
0,849764
0,906730
0,872937
0,909101
0,916899
0,861511
0,926093
0,890331
0,917292
0,887005
0,922855
0,879873
0,683812
0,839532
0,874177
0,909158
0,926634
0,854157
0,939830
0,917559
0,967147
0,918967
0,971321
0,974110
0,965109
0,989029
0,944283
0,980111
0,976797




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 3 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94225&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94225&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94225&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 time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean0.905666350.0073558552165311123.121829255783
Geometric Mean0.903783805504369
Harmonic Mean0.901760519601713
Quadratic Mean0.907427101906456
Winsorized Mean ( 1 / 20 )0.9063990833333330.00696826302843816130.07532574965
Winsorized Mean ( 2 / 20 )0.908711250.00586717271870256154.880603242399
Winsorized Mean ( 3 / 20 )0.90846980.00571333884369069159.008563093231
Winsorized Mean ( 4 / 20 )0.90911720.00544773980121068166.879702991314
Winsorized Mean ( 5 / 20 )0.90949420.00526127765184756172.865653589033
Winsorized Mean ( 6 / 20 )0.90941980.00515803601347171176.31125444351
Winsorized Mean ( 7 / 20 )0.9098879833333330.00485285215603158187.495508636594
Winsorized Mean ( 8 / 20 )0.9104153166666670.00472042047583045192.867419614033
Winsorized Mean ( 9 / 20 )0.9112784166666670.00445556781408694204.525765220209
Winsorized Mean ( 10 / 20 )0.9106735833333330.00361436463235864251.959521510438
Winsorized Mean ( 11 / 20 )0.90984290.00338482180853538268.800826591723
Winsorized Mean ( 12 / 20 )0.90988510.00323054931377886281.650274186863
Winsorized Mean ( 13 / 20 )0.91010870.00301900011614764301.46030638824
Winsorized Mean ( 14 / 20 )0.9105655666666670.002815891946715323.366657491572
Winsorized Mean ( 15 / 20 )0.9104593166666670.00252890881366814360.020619069321
Winsorized Mean ( 16 / 20 )0.9090441166666670.00229224978057561396.572888508858
Winsorized Mean ( 17 / 20 )0.909113250.00219612808683816413.961851974163
Winsorized Mean ( 18 / 20 )0.909350850.0020378152861776446.238114007723
Winsorized Mean ( 19 / 20 )0.90977170.00192038163099007473.745262565837
Winsorized Mean ( 20 / 20 )0.9087333666666670.00176276369810261515.516270073409
Trimmed Mean ( 1 / 20 )0.9077426551724140.00631372057046834143.773017041373
Trimmed Mean ( 2 / 20 )0.9091821964285710.00544928095700015166.844433899235
Trimmed Mean ( 3 / 20 )0.9094438333333330.00516157576290607176.194998409032
Trimmed Mean ( 4 / 20 )0.9098184615384620.00487866494024148186.489228648161
Trimmed Mean ( 5 / 20 )0.910028840.0046346980337415196.351268922983
Trimmed Mean ( 6 / 20 )0.91016250.00439363994368988207.15454877161
Trimmed Mean ( 7 / 20 )0.910323956521740.00411809100864873221.0548418211
Trimmed Mean ( 8 / 20 )0.9104088863636360.00386121347413331235.783100950663
Trimmed Mean ( 9 / 20 )0.9104077380952380.00356406382308573255.440918930295
Trimmed Mean ( 10 / 20 )0.9102626250.00325121588176728279.976063756555
Trimmed Mean ( 11 / 20 )0.9101977368421050.00310016696922991293.596359769036
Trimmed Mean ( 12 / 20 )0.91025150.0029618892564477307.321247078527
Trimmed Mean ( 13 / 20 )0.9103053823529410.00281568898462467323.297561386839
Trimmed Mean ( 14 / 20 )0.910333750.00267482937879132340.333389941812
Trimmed Mean ( 15 / 20 )0.9103006333333330.00253690165471758358.823776885695
Trimmed Mean ( 16 / 20 )0.9102779642857140.00242971644244622374.643702608052
Trimmed Mean ( 17 / 20 )0.9104559230769230.00234453003584814388.331951033233
Trimmed Mean ( 18 / 20 )0.9106533750.00224071898303086406.411237596704
Trimmed Mean ( 19 / 20 )0.9108507272727270.00213315273164972426.997426746982
Trimmed Mean ( 20 / 20 )0.91102110.00200101132575242455.280331638021
Median0.913257
Midrange0.8454535
Midmean - Weighted Average at Xnp0.909434967741935
Midmean - Weighted Average at X(n+1)p0.910300633333334
Midmean - Empirical Distribution Function0.909434967741935
Midmean - Empirical Distribution Function - Averaging0.910300633333334
Midmean - Empirical Distribution Function - Interpolation0.910300633333334
Midmean - Closest Observation0.909434967741935
Midmean - True Basic - Statistics Graphics Toolkit0.910300633333334
Midmean - MS Excel (old versions)0.91033375
Number of observations60

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 0.90566635 & 0.0073558552165311 & 123.121829255783 \tabularnewline
Geometric Mean & 0.903783805504369 &  &  \tabularnewline
Harmonic Mean & 0.901760519601713 &  &  \tabularnewline
Quadratic Mean & 0.907427101906456 &  &  \tabularnewline
Winsorized Mean ( 1 / 20 ) & 0.906399083333333 & 0.00696826302843816 & 130.07532574965 \tabularnewline
Winsorized Mean ( 2 / 20 ) & 0.90871125 & 0.00586717271870256 & 154.880603242399 \tabularnewline
Winsorized Mean ( 3 / 20 ) & 0.9084698 & 0.00571333884369069 & 159.008563093231 \tabularnewline
Winsorized Mean ( 4 / 20 ) & 0.9091172 & 0.00544773980121068 & 166.879702991314 \tabularnewline
Winsorized Mean ( 5 / 20 ) & 0.9094942 & 0.00526127765184756 & 172.865653589033 \tabularnewline
Winsorized Mean ( 6 / 20 ) & 0.9094198 & 0.00515803601347171 & 176.31125444351 \tabularnewline
Winsorized Mean ( 7 / 20 ) & 0.909887983333333 & 0.00485285215603158 & 187.495508636594 \tabularnewline
Winsorized Mean ( 8 / 20 ) & 0.910415316666667 & 0.00472042047583045 & 192.867419614033 \tabularnewline
Winsorized Mean ( 9 / 20 ) & 0.911278416666667 & 0.00445556781408694 & 204.525765220209 \tabularnewline
Winsorized Mean ( 10 / 20 ) & 0.910673583333333 & 0.00361436463235864 & 251.959521510438 \tabularnewline
Winsorized Mean ( 11 / 20 ) & 0.9098429 & 0.00338482180853538 & 268.800826591723 \tabularnewline
Winsorized Mean ( 12 / 20 ) & 0.9098851 & 0.00323054931377886 & 281.650274186863 \tabularnewline
Winsorized Mean ( 13 / 20 ) & 0.9101087 & 0.00301900011614764 & 301.46030638824 \tabularnewline
Winsorized Mean ( 14 / 20 ) & 0.910565566666667 & 0.002815891946715 & 323.366657491572 \tabularnewline
Winsorized Mean ( 15 / 20 ) & 0.910459316666667 & 0.00252890881366814 & 360.020619069321 \tabularnewline
Winsorized Mean ( 16 / 20 ) & 0.909044116666667 & 0.00229224978057561 & 396.572888508858 \tabularnewline
Winsorized Mean ( 17 / 20 ) & 0.90911325 & 0.00219612808683816 & 413.961851974163 \tabularnewline
Winsorized Mean ( 18 / 20 ) & 0.90935085 & 0.0020378152861776 & 446.238114007723 \tabularnewline
Winsorized Mean ( 19 / 20 ) & 0.9097717 & 0.00192038163099007 & 473.745262565837 \tabularnewline
Winsorized Mean ( 20 / 20 ) & 0.908733366666667 & 0.00176276369810261 & 515.516270073409 \tabularnewline
Trimmed Mean ( 1 / 20 ) & 0.907742655172414 & 0.00631372057046834 & 143.773017041373 \tabularnewline
Trimmed Mean ( 2 / 20 ) & 0.909182196428571 & 0.00544928095700015 & 166.844433899235 \tabularnewline
Trimmed Mean ( 3 / 20 ) & 0.909443833333333 & 0.00516157576290607 & 176.194998409032 \tabularnewline
Trimmed Mean ( 4 / 20 ) & 0.909818461538462 & 0.00487866494024148 & 186.489228648161 \tabularnewline
Trimmed Mean ( 5 / 20 ) & 0.91002884 & 0.0046346980337415 & 196.351268922983 \tabularnewline
Trimmed Mean ( 6 / 20 ) & 0.9101625 & 0.00439363994368988 & 207.15454877161 \tabularnewline
Trimmed Mean ( 7 / 20 ) & 0.91032395652174 & 0.00411809100864873 & 221.0548418211 \tabularnewline
Trimmed Mean ( 8 / 20 ) & 0.910408886363636 & 0.00386121347413331 & 235.783100950663 \tabularnewline
Trimmed Mean ( 9 / 20 ) & 0.910407738095238 & 0.00356406382308573 & 255.440918930295 \tabularnewline
Trimmed Mean ( 10 / 20 ) & 0.910262625 & 0.00325121588176728 & 279.976063756555 \tabularnewline
Trimmed Mean ( 11 / 20 ) & 0.910197736842105 & 0.00310016696922991 & 293.596359769036 \tabularnewline
Trimmed Mean ( 12 / 20 ) & 0.9102515 & 0.0029618892564477 & 307.321247078527 \tabularnewline
Trimmed Mean ( 13 / 20 ) & 0.910305382352941 & 0.00281568898462467 & 323.297561386839 \tabularnewline
Trimmed Mean ( 14 / 20 ) & 0.91033375 & 0.00267482937879132 & 340.333389941812 \tabularnewline
Trimmed Mean ( 15 / 20 ) & 0.910300633333333 & 0.00253690165471758 & 358.823776885695 \tabularnewline
Trimmed Mean ( 16 / 20 ) & 0.910277964285714 & 0.00242971644244622 & 374.643702608052 \tabularnewline
Trimmed Mean ( 17 / 20 ) & 0.910455923076923 & 0.00234453003584814 & 388.331951033233 \tabularnewline
Trimmed Mean ( 18 / 20 ) & 0.910653375 & 0.00224071898303086 & 406.411237596704 \tabularnewline
Trimmed Mean ( 19 / 20 ) & 0.910850727272727 & 0.00213315273164972 & 426.997426746982 \tabularnewline
Trimmed Mean ( 20 / 20 ) & 0.9110211 & 0.00200101132575242 & 455.280331638021 \tabularnewline
Median & 0.913257 &  &  \tabularnewline
Midrange & 0.8454535 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 0.909434967741935 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 0.910300633333334 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 0.909434967741935 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 0.910300633333334 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 0.910300633333334 &  &  \tabularnewline
Midmean - Closest Observation & 0.909434967741935 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 0.910300633333334 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 0.91033375 &  &  \tabularnewline
Number of observations & 60 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94225&T=1

[TABLE]
[ROW][C]Central Tendency - Ungrouped Data[/C][/ROW]
[ROW][C]Measure[/C][C]Value[/C][C]S.E.[/C][C]Value/S.E.[/C][/ROW]
[ROW][C]Arithmetic Mean[/C][C]0.90566635[/C][C]0.0073558552165311[/C][C]123.121829255783[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]0.903783805504369[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]0.901760519601713[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]0.907427101906456[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 20 )[/C][C]0.906399083333333[/C][C]0.00696826302843816[/C][C]130.07532574965[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 20 )[/C][C]0.90871125[/C][C]0.00586717271870256[/C][C]154.880603242399[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 20 )[/C][C]0.9084698[/C][C]0.00571333884369069[/C][C]159.008563093231[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 20 )[/C][C]0.9091172[/C][C]0.00544773980121068[/C][C]166.879702991314[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 20 )[/C][C]0.9094942[/C][C]0.00526127765184756[/C][C]172.865653589033[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 20 )[/C][C]0.9094198[/C][C]0.00515803601347171[/C][C]176.31125444351[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 20 )[/C][C]0.909887983333333[/C][C]0.00485285215603158[/C][C]187.495508636594[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 20 )[/C][C]0.910415316666667[/C][C]0.00472042047583045[/C][C]192.867419614033[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 20 )[/C][C]0.911278416666667[/C][C]0.00445556781408694[/C][C]204.525765220209[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 20 )[/C][C]0.910673583333333[/C][C]0.00361436463235864[/C][C]251.959521510438[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 20 )[/C][C]0.9098429[/C][C]0.00338482180853538[/C][C]268.800826591723[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 20 )[/C][C]0.9098851[/C][C]0.00323054931377886[/C][C]281.650274186863[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 20 )[/C][C]0.9101087[/C][C]0.00301900011614764[/C][C]301.46030638824[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 20 )[/C][C]0.910565566666667[/C][C]0.002815891946715[/C][C]323.366657491572[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 20 )[/C][C]0.910459316666667[/C][C]0.00252890881366814[/C][C]360.020619069321[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 20 )[/C][C]0.909044116666667[/C][C]0.00229224978057561[/C][C]396.572888508858[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 20 )[/C][C]0.90911325[/C][C]0.00219612808683816[/C][C]413.961851974163[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 20 )[/C][C]0.90935085[/C][C]0.0020378152861776[/C][C]446.238114007723[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 20 )[/C][C]0.9097717[/C][C]0.00192038163099007[/C][C]473.745262565837[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 20 )[/C][C]0.908733366666667[/C][C]0.00176276369810261[/C][C]515.516270073409[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 20 )[/C][C]0.907742655172414[/C][C]0.00631372057046834[/C][C]143.773017041373[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 20 )[/C][C]0.909182196428571[/C][C]0.00544928095700015[/C][C]166.844433899235[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 20 )[/C][C]0.909443833333333[/C][C]0.00516157576290607[/C][C]176.194998409032[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 20 )[/C][C]0.909818461538462[/C][C]0.00487866494024148[/C][C]186.489228648161[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 20 )[/C][C]0.91002884[/C][C]0.0046346980337415[/C][C]196.351268922983[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 20 )[/C][C]0.9101625[/C][C]0.00439363994368988[/C][C]207.15454877161[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 20 )[/C][C]0.91032395652174[/C][C]0.00411809100864873[/C][C]221.0548418211[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 20 )[/C][C]0.910408886363636[/C][C]0.00386121347413331[/C][C]235.783100950663[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 20 )[/C][C]0.910407738095238[/C][C]0.00356406382308573[/C][C]255.440918930295[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 20 )[/C][C]0.910262625[/C][C]0.00325121588176728[/C][C]279.976063756555[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 20 )[/C][C]0.910197736842105[/C][C]0.00310016696922991[/C][C]293.596359769036[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 20 )[/C][C]0.9102515[/C][C]0.0029618892564477[/C][C]307.321247078527[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 20 )[/C][C]0.910305382352941[/C][C]0.00281568898462467[/C][C]323.297561386839[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 20 )[/C][C]0.91033375[/C][C]0.00267482937879132[/C][C]340.333389941812[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 20 )[/C][C]0.910300633333333[/C][C]0.00253690165471758[/C][C]358.823776885695[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 20 )[/C][C]0.910277964285714[/C][C]0.00242971644244622[/C][C]374.643702608052[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 20 )[/C][C]0.910455923076923[/C][C]0.00234453003584814[/C][C]388.331951033233[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 20 )[/C][C]0.910653375[/C][C]0.00224071898303086[/C][C]406.411237596704[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 20 )[/C][C]0.910850727272727[/C][C]0.00213315273164972[/C][C]426.997426746982[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 20 )[/C][C]0.9110211[/C][C]0.00200101132575242[/C][C]455.280331638021[/C][/ROW]
[ROW][C]Median[/C][C]0.913257[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]0.8454535[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]0.909434967741935[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]0.910300633333334[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]0.909434967741935[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]0.910300633333334[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]0.910300633333334[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]0.909434967741935[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]0.910300633333334[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]0.91033375[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]60[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94225&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94225&T=1

As an alternative you can also use a QR Code:  

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

Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean0.905666350.0073558552165311123.121829255783
Geometric Mean0.903783805504369
Harmonic Mean0.901760519601713
Quadratic Mean0.907427101906456
Winsorized Mean ( 1 / 20 )0.9063990833333330.00696826302843816130.07532574965
Winsorized Mean ( 2 / 20 )0.908711250.00586717271870256154.880603242399
Winsorized Mean ( 3 / 20 )0.90846980.00571333884369069159.008563093231
Winsorized Mean ( 4 / 20 )0.90911720.00544773980121068166.879702991314
Winsorized Mean ( 5 / 20 )0.90949420.00526127765184756172.865653589033
Winsorized Mean ( 6 / 20 )0.90941980.00515803601347171176.31125444351
Winsorized Mean ( 7 / 20 )0.9098879833333330.00485285215603158187.495508636594
Winsorized Mean ( 8 / 20 )0.9104153166666670.00472042047583045192.867419614033
Winsorized Mean ( 9 / 20 )0.9112784166666670.00445556781408694204.525765220209
Winsorized Mean ( 10 / 20 )0.9106735833333330.00361436463235864251.959521510438
Winsorized Mean ( 11 / 20 )0.90984290.00338482180853538268.800826591723
Winsorized Mean ( 12 / 20 )0.90988510.00323054931377886281.650274186863
Winsorized Mean ( 13 / 20 )0.91010870.00301900011614764301.46030638824
Winsorized Mean ( 14 / 20 )0.9105655666666670.002815891946715323.366657491572
Winsorized Mean ( 15 / 20 )0.9104593166666670.00252890881366814360.020619069321
Winsorized Mean ( 16 / 20 )0.9090441166666670.00229224978057561396.572888508858
Winsorized Mean ( 17 / 20 )0.909113250.00219612808683816413.961851974163
Winsorized Mean ( 18 / 20 )0.909350850.0020378152861776446.238114007723
Winsorized Mean ( 19 / 20 )0.90977170.00192038163099007473.745262565837
Winsorized Mean ( 20 / 20 )0.9087333666666670.00176276369810261515.516270073409
Trimmed Mean ( 1 / 20 )0.9077426551724140.00631372057046834143.773017041373
Trimmed Mean ( 2 / 20 )0.9091821964285710.00544928095700015166.844433899235
Trimmed Mean ( 3 / 20 )0.9094438333333330.00516157576290607176.194998409032
Trimmed Mean ( 4 / 20 )0.9098184615384620.00487866494024148186.489228648161
Trimmed Mean ( 5 / 20 )0.910028840.0046346980337415196.351268922983
Trimmed Mean ( 6 / 20 )0.91016250.00439363994368988207.15454877161
Trimmed Mean ( 7 / 20 )0.910323956521740.00411809100864873221.0548418211
Trimmed Mean ( 8 / 20 )0.9104088863636360.00386121347413331235.783100950663
Trimmed Mean ( 9 / 20 )0.9104077380952380.00356406382308573255.440918930295
Trimmed Mean ( 10 / 20 )0.9102626250.00325121588176728279.976063756555
Trimmed Mean ( 11 / 20 )0.9101977368421050.00310016696922991293.596359769036
Trimmed Mean ( 12 / 20 )0.91025150.0029618892564477307.321247078527
Trimmed Mean ( 13 / 20 )0.9103053823529410.00281568898462467323.297561386839
Trimmed Mean ( 14 / 20 )0.910333750.00267482937879132340.333389941812
Trimmed Mean ( 15 / 20 )0.9103006333333330.00253690165471758358.823776885695
Trimmed Mean ( 16 / 20 )0.9102779642857140.00242971644244622374.643702608052
Trimmed Mean ( 17 / 20 )0.9104559230769230.00234453003584814388.331951033233
Trimmed Mean ( 18 / 20 )0.9106533750.00224071898303086406.411237596704
Trimmed Mean ( 19 / 20 )0.9108507272727270.00213315273164972426.997426746982
Trimmed Mean ( 20 / 20 )0.91102110.00200101132575242455.280331638021
Median0.913257
Midrange0.8454535
Midmean - Weighted Average at Xnp0.909434967741935
Midmean - Weighted Average at X(n+1)p0.910300633333334
Midmean - Empirical Distribution Function0.909434967741935
Midmean - Empirical Distribution Function - Averaging0.910300633333334
Midmean - Empirical Distribution Function - Interpolation0.910300633333334
Midmean - Closest Observation0.909434967741935
Midmean - True Basic - Statistics Graphics Toolkit0.910300633333334
Midmean - MS Excel (old versions)0.91033375
Number of observations60



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')