Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationWed, 17 Mar 2010 03:51:13 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Mar/17/t1268819898haefgsgp9q9t3ol.htm/, Retrieved Fri, 21 Jan 2022 11:26:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=74499, Retrieved Fri, 21 Jan 2022 11:26:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP1W52
Estimated Impact129
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [Earthquakes] [2010-03-17 09:51:13] [6248cd2b0d0af288003213c4deab0003] [Current]
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Dataseries X:
13
14
8
10
16
26
32
27
18
32
36
24
22
23
22
18
25
21
21
14
8
11
14
23
18
17
19
20
22
19
13
26
13
14
22
24
21
22
26
21
23
24
27
41
31
27
35
26
28
36
39
21
17
22
17
19
15
34
10
15
22
18
15
20
15
22
19
16
30
27
29
23
20
16
21
21
25
16
18
15
18
14
10
15
8
15
6
11
8
7
13
10
23
16
15
25
22
20
16




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74499&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74499&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74499&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' @ 72.249.127.135







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean20.02020202020200.72998332452719427.4255607594447
Geometric Mean18.6627092290924
Harmonic Mean17.2068905040705
Quadratic Mean21.2845085221694
Winsorized Mean ( 1 / 33 )20.0101010101010.72239194595574327.6997841990433
Winsorized Mean ( 2 / 33 )19.96969696969700.70359306160727428.3824529538119
Winsorized Mean ( 3 / 33 )19.96969696969700.70359306160727428.3824529538119
Winsorized Mean ( 4 / 33 )19.92929292929290.6944211124057828.6991460559848
Winsorized Mean ( 5 / 33 )19.87878787878790.6835030374777729.083686229316
Winsorized Mean ( 6 / 33 )19.87878787878790.63859783903094531.1288054293347
Winsorized Mean ( 7 / 33 )19.87878787878790.63859783903094531.1288054293347
Winsorized Mean ( 8 / 33 )19.79797979797980.62335825155975231.7601952784643
Winsorized Mean ( 9 / 33 )19.70707070707070.60715389604641332.4581145495346
Winsorized Mean ( 10 / 33 )19.70707070707070.57399361621886834.3332576360157
Winsorized Mean ( 11 / 33 )19.59595959595960.5562410268641235.2292597085733
Winsorized Mean ( 12 / 33 )19.71717171717170.50211681450767939.2680968800143
Winsorized Mean ( 13 / 33 )19.71717171717170.50211681450767939.2680968800143
Winsorized Mean ( 14 / 33 )19.71717171717170.50211681450767939.2680968800143
Winsorized Mean ( 15 / 33 )19.71717171717170.50211681450767939.2680968800143
Winsorized Mean ( 16 / 33 )19.71717171717170.45743145743145743.1041009463722
Winsorized Mean ( 17 / 33 )19.71717171717170.45743145743145743.1041009463722
Winsorized Mean ( 18 / 33 )19.71717171717170.45743145743145743.1041009463722
Winsorized Mean ( 19 / 33 )19.71717171717170.45743145743145743.1041009463722
Winsorized Mean ( 20 / 33 )19.51515151515150.43009916168413245.3736097478925
Winsorized Mean ( 21 / 33 )19.72727272727270.40350407611189848.889897017551
Winsorized Mean ( 22 / 33 )19.72727272727270.40350407611189848.889897017551
Winsorized Mean ( 23 / 33 )19.49494949494950.37367886909973252.1703288760126
Winsorized Mean ( 24 / 33 )19.49494949494950.37367886909973252.1703288760126
Winsorized Mean ( 25 / 33 )19.49494949494950.37367886909973252.1703288760126
Winsorized Mean ( 26 / 33 )19.23232323232320.34273334790938956.1145372915618
Winsorized Mean ( 27 / 33 )19.23232323232320.34273334790938956.1145372915618
Winsorized Mean ( 28 / 33 )19.23232323232320.34273334790938956.1145372915618
Winsorized Mean ( 29 / 33 )19.52525252525250.30704751510028363.5903290696734
Winsorized Mean ( 30 / 33 )19.52525252525250.30704751510028363.5903290696734
Winsorized Mean ( 31 / 33 )19.21212121212120.27252105169761370.4977508799534
Winsorized Mean ( 32 / 33 )19.21212121212120.27252105169761370.4977508799534
Winsorized Mean ( 33 / 33 )19.21212121212120.27252105169761370.4977508799534
Trimmed Mean ( 1 / 33 )19.94845360824740.69768442702437628.5923733360763
Trimmed Mean ( 2 / 33 )19.88421052631580.66941888821929529.7036890895166
Trimmed Mean ( 3 / 33 )19.83870967741940.64871043412658630.5817644264191
Trimmed Mean ( 4 / 33 )19.79120879120880.62498185243816631.6668535478266
Trimmed Mean ( 5 / 33 )19.75280898876400.60096128707166932.8686879066944
Trimmed Mean ( 6 / 33 )19.72413793103450.57658342934481934.2086451451568
Trimmed Mean ( 7 / 33 )19.69411764705880.56036790871046435.1449776850704
Trimmed Mean ( 8 / 33 )19.66265060240960.54161986132320136.3034150084026
Trimmed Mean ( 9 / 33 )19.64197530864200.52331700905635437.5336076770377
Trimmed Mean ( 10 / 33 )19.63291139240510.50546420773402638.8413483922404
Trimmed Mean ( 11 / 33 )19.62337662337660.49122128030017239.9481402991851
Trimmed Mean ( 12 / 33 )19.62666666666670.47789830171992341.0687097987828
Trimmed Mean ( 13 / 33 )19.61643835616440.47165877536128341.5903177909465
Trimmed Mean ( 14 / 33 )19.60563380281690.46420303319987742.2350402746616
Trimmed Mean ( 15 / 33 )19.59420289855070.45529883976920943.035916604758
Trimmed Mean ( 16 / 33 )19.58208955223880.44465225525236544.0391099357516
Trimmed Mean ( 17 / 33 )19.56923076923080.43905998296252644.5707455213495
Trimmed Mean ( 18 / 33 )19.55555555555560.43217840763449545.2488028325890
Trimmed Mean ( 19 / 33 )19.54098360655740.42373164675943946.1164129608926
Trimmed Mean ( 20 / 33 )19.52542372881360.41336238136826647.2356087754833
Trimmed Mean ( 21 / 33 )19.52631578947370.40524851062291348.1835596618468
Trimmed Mean ( 22 / 33 )19.50909090909090.39938734839214548.8475435880247
Trimmed Mean ( 23 / 33 )19.49056603773580.39188302947140749.7356725654228
Trimmed Mean ( 24 / 33 )19.49019607843140.38742240110520750.3073545123652
Trimmed Mean ( 25 / 33 )19.48979591836730.38146072739834251.0925359244520
Trimmed Mean ( 26 / 33 )19.48936170212770.37358718185625852.1681755923479
Trimmed Mean ( 27 / 33 )19.48936170212770.36875743063524752.8514413080542
Trimmed Mean ( 28 / 33 )19.53488372093020.36202463345226753.9600952969569
Trimmed Mean ( 29 / 33 )19.56097560975610.35277433622955255.4489757356603
Trimmed Mean ( 30 / 33 )19.56410256410260.34811013155434856.2008996312369
Trimmed Mean ( 31 / 33 )19.56756756756760.34121435791721857.3468469703576
Trimmed Mean ( 32 / 33 )19.60.33855848643845257.8925083408392
Trimmed Mean ( 33 / 33 )19.63636363636360.33376349654410158.8331673166332
Median20
Midrange23.5
Midmean - Weighted Average at Xnp19.3272727272727
Midmean - Weighted Average at X(n+1)p19.3272727272727
Midmean - Empirical Distribution Function19.3272727272727
Midmean - Empirical Distribution Function - Averaging19.3272727272727
Midmean - Empirical Distribution Function - Interpolation19.3272727272727
Midmean - Closest Observation19.3272727272727
Midmean - True Basic - Statistics Graphics Toolkit19.3272727272727
Midmean - MS Excel (old versions)19.3272727272727
Number of observations99

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 20.0202020202020 & 0.729983324527194 & 27.4255607594447 \tabularnewline
Geometric Mean & 18.6627092290924 &  &  \tabularnewline
Harmonic Mean & 17.2068905040705 &  &  \tabularnewline
Quadratic Mean & 21.2845085221694 &  &  \tabularnewline
Winsorized Mean ( 1 / 33 ) & 20.010101010101 & 0.722391945955743 & 27.6997841990433 \tabularnewline
Winsorized Mean ( 2 / 33 ) & 19.9696969696970 & 0.703593061607274 & 28.3824529538119 \tabularnewline
Winsorized Mean ( 3 / 33 ) & 19.9696969696970 & 0.703593061607274 & 28.3824529538119 \tabularnewline
Winsorized Mean ( 4 / 33 ) & 19.9292929292929 & 0.69442111240578 & 28.6991460559848 \tabularnewline
Winsorized Mean ( 5 / 33 ) & 19.8787878787879 & 0.68350303747777 & 29.083686229316 \tabularnewline
Winsorized Mean ( 6 / 33 ) & 19.8787878787879 & 0.638597839030945 & 31.1288054293347 \tabularnewline
Winsorized Mean ( 7 / 33 ) & 19.8787878787879 & 0.638597839030945 & 31.1288054293347 \tabularnewline
Winsorized Mean ( 8 / 33 ) & 19.7979797979798 & 0.623358251559752 & 31.7601952784643 \tabularnewline
Winsorized Mean ( 9 / 33 ) & 19.7070707070707 & 0.607153896046413 & 32.4581145495346 \tabularnewline
Winsorized Mean ( 10 / 33 ) & 19.7070707070707 & 0.573993616218868 & 34.3332576360157 \tabularnewline
Winsorized Mean ( 11 / 33 ) & 19.5959595959596 & 0.55624102686412 & 35.2292597085733 \tabularnewline
Winsorized Mean ( 12 / 33 ) & 19.7171717171717 & 0.502116814507679 & 39.2680968800143 \tabularnewline
Winsorized Mean ( 13 / 33 ) & 19.7171717171717 & 0.502116814507679 & 39.2680968800143 \tabularnewline
Winsorized Mean ( 14 / 33 ) & 19.7171717171717 & 0.502116814507679 & 39.2680968800143 \tabularnewline
Winsorized Mean ( 15 / 33 ) & 19.7171717171717 & 0.502116814507679 & 39.2680968800143 \tabularnewline
Winsorized Mean ( 16 / 33 ) & 19.7171717171717 & 0.457431457431457 & 43.1041009463722 \tabularnewline
Winsorized Mean ( 17 / 33 ) & 19.7171717171717 & 0.457431457431457 & 43.1041009463722 \tabularnewline
Winsorized Mean ( 18 / 33 ) & 19.7171717171717 & 0.457431457431457 & 43.1041009463722 \tabularnewline
Winsorized Mean ( 19 / 33 ) & 19.7171717171717 & 0.457431457431457 & 43.1041009463722 \tabularnewline
Winsorized Mean ( 20 / 33 ) & 19.5151515151515 & 0.430099161684132 & 45.3736097478925 \tabularnewline
Winsorized Mean ( 21 / 33 ) & 19.7272727272727 & 0.403504076111898 & 48.889897017551 \tabularnewline
Winsorized Mean ( 22 / 33 ) & 19.7272727272727 & 0.403504076111898 & 48.889897017551 \tabularnewline
Winsorized Mean ( 23 / 33 ) & 19.4949494949495 & 0.373678869099732 & 52.1703288760126 \tabularnewline
Winsorized Mean ( 24 / 33 ) & 19.4949494949495 & 0.373678869099732 & 52.1703288760126 \tabularnewline
Winsorized Mean ( 25 / 33 ) & 19.4949494949495 & 0.373678869099732 & 52.1703288760126 \tabularnewline
Winsorized Mean ( 26 / 33 ) & 19.2323232323232 & 0.342733347909389 & 56.1145372915618 \tabularnewline
Winsorized Mean ( 27 / 33 ) & 19.2323232323232 & 0.342733347909389 & 56.1145372915618 \tabularnewline
Winsorized Mean ( 28 / 33 ) & 19.2323232323232 & 0.342733347909389 & 56.1145372915618 \tabularnewline
Winsorized Mean ( 29 / 33 ) & 19.5252525252525 & 0.307047515100283 & 63.5903290696734 \tabularnewline
Winsorized Mean ( 30 / 33 ) & 19.5252525252525 & 0.307047515100283 & 63.5903290696734 \tabularnewline
Winsorized Mean ( 31 / 33 ) & 19.2121212121212 & 0.272521051697613 & 70.4977508799534 \tabularnewline
Winsorized Mean ( 32 / 33 ) & 19.2121212121212 & 0.272521051697613 & 70.4977508799534 \tabularnewline
Winsorized Mean ( 33 / 33 ) & 19.2121212121212 & 0.272521051697613 & 70.4977508799534 \tabularnewline
Trimmed Mean ( 1 / 33 ) & 19.9484536082474 & 0.697684427024376 & 28.5923733360763 \tabularnewline
Trimmed Mean ( 2 / 33 ) & 19.8842105263158 & 0.669418888219295 & 29.7036890895166 \tabularnewline
Trimmed Mean ( 3 / 33 ) & 19.8387096774194 & 0.648710434126586 & 30.5817644264191 \tabularnewline
Trimmed Mean ( 4 / 33 ) & 19.7912087912088 & 0.624981852438166 & 31.6668535478266 \tabularnewline
Trimmed Mean ( 5 / 33 ) & 19.7528089887640 & 0.600961287071669 & 32.8686879066944 \tabularnewline
Trimmed Mean ( 6 / 33 ) & 19.7241379310345 & 0.576583429344819 & 34.2086451451568 \tabularnewline
Trimmed Mean ( 7 / 33 ) & 19.6941176470588 & 0.560367908710464 & 35.1449776850704 \tabularnewline
Trimmed Mean ( 8 / 33 ) & 19.6626506024096 & 0.541619861323201 & 36.3034150084026 \tabularnewline
Trimmed Mean ( 9 / 33 ) & 19.6419753086420 & 0.523317009056354 & 37.5336076770377 \tabularnewline
Trimmed Mean ( 10 / 33 ) & 19.6329113924051 & 0.505464207734026 & 38.8413483922404 \tabularnewline
Trimmed Mean ( 11 / 33 ) & 19.6233766233766 & 0.491221280300172 & 39.9481402991851 \tabularnewline
Trimmed Mean ( 12 / 33 ) & 19.6266666666667 & 0.477898301719923 & 41.0687097987828 \tabularnewline
Trimmed Mean ( 13 / 33 ) & 19.6164383561644 & 0.471658775361283 & 41.5903177909465 \tabularnewline
Trimmed Mean ( 14 / 33 ) & 19.6056338028169 & 0.464203033199877 & 42.2350402746616 \tabularnewline
Trimmed Mean ( 15 / 33 ) & 19.5942028985507 & 0.455298839769209 & 43.035916604758 \tabularnewline
Trimmed Mean ( 16 / 33 ) & 19.5820895522388 & 0.444652255252365 & 44.0391099357516 \tabularnewline
Trimmed Mean ( 17 / 33 ) & 19.5692307692308 & 0.439059982962526 & 44.5707455213495 \tabularnewline
Trimmed Mean ( 18 / 33 ) & 19.5555555555556 & 0.432178407634495 & 45.2488028325890 \tabularnewline
Trimmed Mean ( 19 / 33 ) & 19.5409836065574 & 0.423731646759439 & 46.1164129608926 \tabularnewline
Trimmed Mean ( 20 / 33 ) & 19.5254237288136 & 0.413362381368266 & 47.2356087754833 \tabularnewline
Trimmed Mean ( 21 / 33 ) & 19.5263157894737 & 0.405248510622913 & 48.1835596618468 \tabularnewline
Trimmed Mean ( 22 / 33 ) & 19.5090909090909 & 0.399387348392145 & 48.8475435880247 \tabularnewline
Trimmed Mean ( 23 / 33 ) & 19.4905660377358 & 0.391883029471407 & 49.7356725654228 \tabularnewline
Trimmed Mean ( 24 / 33 ) & 19.4901960784314 & 0.387422401105207 & 50.3073545123652 \tabularnewline
Trimmed Mean ( 25 / 33 ) & 19.4897959183673 & 0.381460727398342 & 51.0925359244520 \tabularnewline
Trimmed Mean ( 26 / 33 ) & 19.4893617021277 & 0.373587181856258 & 52.1681755923479 \tabularnewline
Trimmed Mean ( 27 / 33 ) & 19.4893617021277 & 0.368757430635247 & 52.8514413080542 \tabularnewline
Trimmed Mean ( 28 / 33 ) & 19.5348837209302 & 0.362024633452267 & 53.9600952969569 \tabularnewline
Trimmed Mean ( 29 / 33 ) & 19.5609756097561 & 0.352774336229552 & 55.4489757356603 \tabularnewline
Trimmed Mean ( 30 / 33 ) & 19.5641025641026 & 0.348110131554348 & 56.2008996312369 \tabularnewline
Trimmed Mean ( 31 / 33 ) & 19.5675675675676 & 0.341214357917218 & 57.3468469703576 \tabularnewline
Trimmed Mean ( 32 / 33 ) & 19.6 & 0.338558486438452 & 57.8925083408392 \tabularnewline
Trimmed Mean ( 33 / 33 ) & 19.6363636363636 & 0.333763496544101 & 58.8331673166332 \tabularnewline
Median & 20 &  &  \tabularnewline
Midrange & 23.5 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 19.3272727272727 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 19.3272727272727 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 19.3272727272727 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 19.3272727272727 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 19.3272727272727 &  &  \tabularnewline
Midmean - Closest Observation & 19.3272727272727 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 19.3272727272727 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 19.3272727272727 &  &  \tabularnewline
Number of observations & 99 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74499&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]20.0202020202020[/C][C]0.729983324527194[/C][C]27.4255607594447[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]18.6627092290924[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]17.2068905040705[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]21.2845085221694[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 33 )[/C][C]20.010101010101[/C][C]0.722391945955743[/C][C]27.6997841990433[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 33 )[/C][C]19.9696969696970[/C][C]0.703593061607274[/C][C]28.3824529538119[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 33 )[/C][C]19.9696969696970[/C][C]0.703593061607274[/C][C]28.3824529538119[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 33 )[/C][C]19.9292929292929[/C][C]0.69442111240578[/C][C]28.6991460559848[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 33 )[/C][C]19.8787878787879[/C][C]0.68350303747777[/C][C]29.083686229316[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 33 )[/C][C]19.8787878787879[/C][C]0.638597839030945[/C][C]31.1288054293347[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 33 )[/C][C]19.8787878787879[/C][C]0.638597839030945[/C][C]31.1288054293347[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 33 )[/C][C]19.7979797979798[/C][C]0.623358251559752[/C][C]31.7601952784643[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 33 )[/C][C]19.7070707070707[/C][C]0.607153896046413[/C][C]32.4581145495346[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 33 )[/C][C]19.7070707070707[/C][C]0.573993616218868[/C][C]34.3332576360157[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 33 )[/C][C]19.5959595959596[/C][C]0.55624102686412[/C][C]35.2292597085733[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 33 )[/C][C]19.7171717171717[/C][C]0.502116814507679[/C][C]39.2680968800143[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 33 )[/C][C]19.7171717171717[/C][C]0.502116814507679[/C][C]39.2680968800143[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 33 )[/C][C]19.7171717171717[/C][C]0.502116814507679[/C][C]39.2680968800143[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 33 )[/C][C]19.7171717171717[/C][C]0.502116814507679[/C][C]39.2680968800143[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 33 )[/C][C]19.7171717171717[/C][C]0.457431457431457[/C][C]43.1041009463722[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 33 )[/C][C]19.7171717171717[/C][C]0.457431457431457[/C][C]43.1041009463722[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 33 )[/C][C]19.7171717171717[/C][C]0.457431457431457[/C][C]43.1041009463722[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 33 )[/C][C]19.7171717171717[/C][C]0.457431457431457[/C][C]43.1041009463722[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 33 )[/C][C]19.5151515151515[/C][C]0.430099161684132[/C][C]45.3736097478925[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 33 )[/C][C]19.7272727272727[/C][C]0.403504076111898[/C][C]48.889897017551[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 33 )[/C][C]19.7272727272727[/C][C]0.403504076111898[/C][C]48.889897017551[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 33 )[/C][C]19.4949494949495[/C][C]0.373678869099732[/C][C]52.1703288760126[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 33 )[/C][C]19.4949494949495[/C][C]0.373678869099732[/C][C]52.1703288760126[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 33 )[/C][C]19.4949494949495[/C][C]0.373678869099732[/C][C]52.1703288760126[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 33 )[/C][C]19.2323232323232[/C][C]0.342733347909389[/C][C]56.1145372915618[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 33 )[/C][C]19.2323232323232[/C][C]0.342733347909389[/C][C]56.1145372915618[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 33 )[/C][C]19.2323232323232[/C][C]0.342733347909389[/C][C]56.1145372915618[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 33 )[/C][C]19.5252525252525[/C][C]0.307047515100283[/C][C]63.5903290696734[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 33 )[/C][C]19.5252525252525[/C][C]0.307047515100283[/C][C]63.5903290696734[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 33 )[/C][C]19.2121212121212[/C][C]0.272521051697613[/C][C]70.4977508799534[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 33 )[/C][C]19.2121212121212[/C][C]0.272521051697613[/C][C]70.4977508799534[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 33 )[/C][C]19.2121212121212[/C][C]0.272521051697613[/C][C]70.4977508799534[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 33 )[/C][C]19.9484536082474[/C][C]0.697684427024376[/C][C]28.5923733360763[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 33 )[/C][C]19.8842105263158[/C][C]0.669418888219295[/C][C]29.7036890895166[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 33 )[/C][C]19.8387096774194[/C][C]0.648710434126586[/C][C]30.5817644264191[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 33 )[/C][C]19.7912087912088[/C][C]0.624981852438166[/C][C]31.6668535478266[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 33 )[/C][C]19.7528089887640[/C][C]0.600961287071669[/C][C]32.8686879066944[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 33 )[/C][C]19.7241379310345[/C][C]0.576583429344819[/C][C]34.2086451451568[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 33 )[/C][C]19.6941176470588[/C][C]0.560367908710464[/C][C]35.1449776850704[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 33 )[/C][C]19.6626506024096[/C][C]0.541619861323201[/C][C]36.3034150084026[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 33 )[/C][C]19.6419753086420[/C][C]0.523317009056354[/C][C]37.5336076770377[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 33 )[/C][C]19.6329113924051[/C][C]0.505464207734026[/C][C]38.8413483922404[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 33 )[/C][C]19.6233766233766[/C][C]0.491221280300172[/C][C]39.9481402991851[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 33 )[/C][C]19.6266666666667[/C][C]0.477898301719923[/C][C]41.0687097987828[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 33 )[/C][C]19.6164383561644[/C][C]0.471658775361283[/C][C]41.5903177909465[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 33 )[/C][C]19.6056338028169[/C][C]0.464203033199877[/C][C]42.2350402746616[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 33 )[/C][C]19.5942028985507[/C][C]0.455298839769209[/C][C]43.035916604758[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 33 )[/C][C]19.5820895522388[/C][C]0.444652255252365[/C][C]44.0391099357516[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 33 )[/C][C]19.5692307692308[/C][C]0.439059982962526[/C][C]44.5707455213495[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 33 )[/C][C]19.5555555555556[/C][C]0.432178407634495[/C][C]45.2488028325890[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 33 )[/C][C]19.5409836065574[/C][C]0.423731646759439[/C][C]46.1164129608926[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 33 )[/C][C]19.5254237288136[/C][C]0.413362381368266[/C][C]47.2356087754833[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 33 )[/C][C]19.5263157894737[/C][C]0.405248510622913[/C][C]48.1835596618468[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 33 )[/C][C]19.5090909090909[/C][C]0.399387348392145[/C][C]48.8475435880247[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 33 )[/C][C]19.4905660377358[/C][C]0.391883029471407[/C][C]49.7356725654228[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 33 )[/C][C]19.4901960784314[/C][C]0.387422401105207[/C][C]50.3073545123652[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 33 )[/C][C]19.4897959183673[/C][C]0.381460727398342[/C][C]51.0925359244520[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 33 )[/C][C]19.4893617021277[/C][C]0.373587181856258[/C][C]52.1681755923479[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 33 )[/C][C]19.4893617021277[/C][C]0.368757430635247[/C][C]52.8514413080542[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 33 )[/C][C]19.5348837209302[/C][C]0.362024633452267[/C][C]53.9600952969569[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 33 )[/C][C]19.5609756097561[/C][C]0.352774336229552[/C][C]55.4489757356603[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 33 )[/C][C]19.5641025641026[/C][C]0.348110131554348[/C][C]56.2008996312369[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 33 )[/C][C]19.5675675675676[/C][C]0.341214357917218[/C][C]57.3468469703576[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 33 )[/C][C]19.6[/C][C]0.338558486438452[/C][C]57.8925083408392[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 33 )[/C][C]19.6363636363636[/C][C]0.333763496544101[/C][C]58.8331673166332[/C][/ROW]
[ROW][C]Median[/C][C]20[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]23.5[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]19.3272727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]19.3272727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]19.3272727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]19.3272727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]19.3272727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]19.3272727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]19.3272727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]19.3272727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]99[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74499&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74499&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 Mean20.02020202020200.72998332452719427.4255607594447
Geometric Mean18.6627092290924
Harmonic Mean17.2068905040705
Quadratic Mean21.2845085221694
Winsorized Mean ( 1 / 33 )20.0101010101010.72239194595574327.6997841990433
Winsorized Mean ( 2 / 33 )19.96969696969700.70359306160727428.3824529538119
Winsorized Mean ( 3 / 33 )19.96969696969700.70359306160727428.3824529538119
Winsorized Mean ( 4 / 33 )19.92929292929290.6944211124057828.6991460559848
Winsorized Mean ( 5 / 33 )19.87878787878790.6835030374777729.083686229316
Winsorized Mean ( 6 / 33 )19.87878787878790.63859783903094531.1288054293347
Winsorized Mean ( 7 / 33 )19.87878787878790.63859783903094531.1288054293347
Winsorized Mean ( 8 / 33 )19.79797979797980.62335825155975231.7601952784643
Winsorized Mean ( 9 / 33 )19.70707070707070.60715389604641332.4581145495346
Winsorized Mean ( 10 / 33 )19.70707070707070.57399361621886834.3332576360157
Winsorized Mean ( 11 / 33 )19.59595959595960.5562410268641235.2292597085733
Winsorized Mean ( 12 / 33 )19.71717171717170.50211681450767939.2680968800143
Winsorized Mean ( 13 / 33 )19.71717171717170.50211681450767939.2680968800143
Winsorized Mean ( 14 / 33 )19.71717171717170.50211681450767939.2680968800143
Winsorized Mean ( 15 / 33 )19.71717171717170.50211681450767939.2680968800143
Winsorized Mean ( 16 / 33 )19.71717171717170.45743145743145743.1041009463722
Winsorized Mean ( 17 / 33 )19.71717171717170.45743145743145743.1041009463722
Winsorized Mean ( 18 / 33 )19.71717171717170.45743145743145743.1041009463722
Winsorized Mean ( 19 / 33 )19.71717171717170.45743145743145743.1041009463722
Winsorized Mean ( 20 / 33 )19.51515151515150.43009916168413245.3736097478925
Winsorized Mean ( 21 / 33 )19.72727272727270.40350407611189848.889897017551
Winsorized Mean ( 22 / 33 )19.72727272727270.40350407611189848.889897017551
Winsorized Mean ( 23 / 33 )19.49494949494950.37367886909973252.1703288760126
Winsorized Mean ( 24 / 33 )19.49494949494950.37367886909973252.1703288760126
Winsorized Mean ( 25 / 33 )19.49494949494950.37367886909973252.1703288760126
Winsorized Mean ( 26 / 33 )19.23232323232320.34273334790938956.1145372915618
Winsorized Mean ( 27 / 33 )19.23232323232320.34273334790938956.1145372915618
Winsorized Mean ( 28 / 33 )19.23232323232320.34273334790938956.1145372915618
Winsorized Mean ( 29 / 33 )19.52525252525250.30704751510028363.5903290696734
Winsorized Mean ( 30 / 33 )19.52525252525250.30704751510028363.5903290696734
Winsorized Mean ( 31 / 33 )19.21212121212120.27252105169761370.4977508799534
Winsorized Mean ( 32 / 33 )19.21212121212120.27252105169761370.4977508799534
Winsorized Mean ( 33 / 33 )19.21212121212120.27252105169761370.4977508799534
Trimmed Mean ( 1 / 33 )19.94845360824740.69768442702437628.5923733360763
Trimmed Mean ( 2 / 33 )19.88421052631580.66941888821929529.7036890895166
Trimmed Mean ( 3 / 33 )19.83870967741940.64871043412658630.5817644264191
Trimmed Mean ( 4 / 33 )19.79120879120880.62498185243816631.6668535478266
Trimmed Mean ( 5 / 33 )19.75280898876400.60096128707166932.8686879066944
Trimmed Mean ( 6 / 33 )19.72413793103450.57658342934481934.2086451451568
Trimmed Mean ( 7 / 33 )19.69411764705880.56036790871046435.1449776850704
Trimmed Mean ( 8 / 33 )19.66265060240960.54161986132320136.3034150084026
Trimmed Mean ( 9 / 33 )19.64197530864200.52331700905635437.5336076770377
Trimmed Mean ( 10 / 33 )19.63291139240510.50546420773402638.8413483922404
Trimmed Mean ( 11 / 33 )19.62337662337660.49122128030017239.9481402991851
Trimmed Mean ( 12 / 33 )19.62666666666670.47789830171992341.0687097987828
Trimmed Mean ( 13 / 33 )19.61643835616440.47165877536128341.5903177909465
Trimmed Mean ( 14 / 33 )19.60563380281690.46420303319987742.2350402746616
Trimmed Mean ( 15 / 33 )19.59420289855070.45529883976920943.035916604758
Trimmed Mean ( 16 / 33 )19.58208955223880.44465225525236544.0391099357516
Trimmed Mean ( 17 / 33 )19.56923076923080.43905998296252644.5707455213495
Trimmed Mean ( 18 / 33 )19.55555555555560.43217840763449545.2488028325890
Trimmed Mean ( 19 / 33 )19.54098360655740.42373164675943946.1164129608926
Trimmed Mean ( 20 / 33 )19.52542372881360.41336238136826647.2356087754833
Trimmed Mean ( 21 / 33 )19.52631578947370.40524851062291348.1835596618468
Trimmed Mean ( 22 / 33 )19.50909090909090.39938734839214548.8475435880247
Trimmed Mean ( 23 / 33 )19.49056603773580.39188302947140749.7356725654228
Trimmed Mean ( 24 / 33 )19.49019607843140.38742240110520750.3073545123652
Trimmed Mean ( 25 / 33 )19.48979591836730.38146072739834251.0925359244520
Trimmed Mean ( 26 / 33 )19.48936170212770.37358718185625852.1681755923479
Trimmed Mean ( 27 / 33 )19.48936170212770.36875743063524752.8514413080542
Trimmed Mean ( 28 / 33 )19.53488372093020.36202463345226753.9600952969569
Trimmed Mean ( 29 / 33 )19.56097560975610.35277433622955255.4489757356603
Trimmed Mean ( 30 / 33 )19.56410256410260.34811013155434856.2008996312369
Trimmed Mean ( 31 / 33 )19.56756756756760.34121435791721857.3468469703576
Trimmed Mean ( 32 / 33 )19.60.33855848643845257.8925083408392
Trimmed Mean ( 33 / 33 )19.63636363636360.33376349654410158.8331673166332
Median20
Midrange23.5
Midmean - Weighted Average at Xnp19.3272727272727
Midmean - Weighted Average at X(n+1)p19.3272727272727
Midmean - Empirical Distribution Function19.3272727272727
Midmean - Empirical Distribution Function - Averaging19.3272727272727
Midmean - Empirical Distribution Function - Interpolation19.3272727272727
Midmean - Closest Observation19.3272727272727
Midmean - True Basic - Statistics Graphics Toolkit19.3272727272727
Midmean - MS Excel (old versions)19.3272727272727
Number of observations99



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')