Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationWed, 17 Nov 2010 00:08:56 +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/17/t128995246510k113hbpl3o7xh.htm/, Retrieved Thu, 28 Mar 2024 14:29:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=96494, Retrieved Thu, 28 Mar 2024 14:29:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact154
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]
-  M D    [Central Tendency] [Prijs van elektri...] [2010-11-17 00:08:56] [93ab421e12cd1017d2b38fdbcbdb62e0] [Current]
Feedback Forum

Post a new message
Dataseries X:
23,645
23,755
24,136
24,369
24,713
25,657
26,165
26,366
26,504
26,339
25,897
26,386
26,698
27,701
28,15
28,433
28,96
30,931
31,513
31,569
31,755
30,89
30,381
30,967
31,552
32,097
32,473
32,848
33,1
34,962
35,744
36,496
36,273
34,872
34,919
34,96
36,006
36,086
36,741
36,799
36,438
38,047
38,403
38,471
38,265
37,388
36,655
37,074
37,184
37,306
37,393
37,117
37,424
39,216
39,507
39,592
39,578
38,781
38,325
38,188
38,6
38,832
39,066
39,487
39,539
41,635
42,406
43,35
40,801
39,441
38,935
38,626
38,975
39,107
39,312
39,485
39,468
41,169
41,172
41,497
40,25
39,752
39,754




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96494&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96494&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96494&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean34.92553012048190.58838134156046159.358663597073
Geometric Mean34.4801687489182
Harmonic Mean33.9965362097244
Quadratic Mean35.3295973321322
Winsorized Mean ( 1 / 27 )34.91548192771080.586193210198759.5630951028512
Winsorized Mean ( 2 / 27 )34.90608433734940.58133080910148360.045130570838
Winsorized Mean ( 3 / 27 )34.90951807228920.57874590048337660.3192489884287
Winsorized Mean ( 4 / 27 )34.91043373493980.57297457278804560.9284170588384
Winsorized Mean ( 5 / 27 )34.96712048192770.56102031315386262.3277262196704
Winsorized Mean ( 6 / 27 )34.95786746987950.55403001378735963.0974254100548
Winsorized Mean ( 7 / 27 )34.9340.54379288442020664.2413701996979
Winsorized Mean ( 8 / 27 )34.90296385542170.53501227557130465.237687898191
Winsorized Mean ( 9 / 27 )34.90567469879520.53441727463003165.3153937117019
Winsorized Mean ( 10 / 27 )34.88880722891570.53184213002158165.5999313696716
Winsorized Mean ( 11 / 27 )34.90259036144580.52860240855351466.02805775508
Winsorized Mean ( 12 / 27 )34.9250.5225848620041466.8312508442376
Winsorized Mean ( 13 / 27 )35.07708433734940.49259477510526971.208803077242
Winsorized Mean ( 14 / 27 )35.14944578313250.47855169340393673.4496320201371
Winsorized Mean ( 15 / 27 )35.20022891566260.46945419828976974.9811782361256
Winsorized Mean ( 16 / 27 )35.29854216867470.45145602634861178.1882179182993
Winsorized Mean ( 17 / 27 )35.58406024096390.40287199317953488.3259716321514
Winsorized Mean ( 18 / 27 )35.66646987951810.38250769001826893.243798256225
Winsorized Mean ( 19 / 27 )35.65387951807230.3785409041341994.1876535103146
Winsorized Mean ( 20 / 27 )35.63628915662650.37422850310083995.2260152857037
Winsorized Mean ( 21 / 27 )35.76406024096390.352366525353439101.496758822624
Winsorized Mean ( 22 / 27 )35.75027710843370.348105110820043102.699661674647
Winsorized Mean ( 23 / 27 )35.74390361445780.346163079122787103.257411810169
Winsorized Mean ( 24 / 27 )35.76790361445780.334942710534397106.788123728355
Winsorized Mean ( 25 / 27 )35.85555421686750.318279309955513112.654367077392
Winsorized Mean ( 26 / 27 )35.92478313253010.29599535781964121.369414024460
Winsorized Mean ( 27 / 27 )36.03831325301200.277829526757335129.713762513403
Trimmed Mean ( 1 / 27 )34.96079012345680.57706474424293460.5838261169857
Trimmed Mean ( 2 / 27 )35.00839240506330.56637985632265961.8108006742378
Trimmed Mean ( 3 / 27 )35.06353246753250.55680854566211262.9723317659173
Trimmed Mean ( 4 / 27 )35.12034666666670.54662348142761764.2496121369372
Trimmed Mean ( 5 / 27 )35.18001369863010.53655018819253965.567051270898
Trimmed Mean ( 6 / 27 )35.22978873239440.52816026160420766.7028386902665
Trimmed Mean ( 7 / 27 )35.22978873239440.5198640115417867.7673159715597
Trimmed Mean ( 8 / 27 )35.34629850746270.51217116664414269.0126676576883
Trimmed Mean ( 9 / 27 )35.41706153846150.50456836603033470.1927903588239
Trimmed Mean ( 10 / 27 )35.49192063492060.49524745184289571.6650242274837
Trimmed Mean ( 11 / 27 )35.57398360655740.48414352718336973.478176633938
Trimmed Mean ( 12 / 27 )35.65984745762710.47100431191562275.7102356719302
Trimmed Mean ( 13 / 27 )35.74901754385970.45586474979678578.4202278412529
Trimmed Mean ( 14 / 27 )35.74901754385970.4434751041573280.6111035517743
Trimmed Mean ( 15 / 27 )35.90281132075470.43079644914112483.3405460800198
Trimmed Mean ( 16 / 27 )35.97903921568630.41659090664422186.3653974243207
Trimmed Mean ( 17 / 27 )36.05108163265310.40240205830467189.589704845291
Trimmed Mean ( 18 / 27 )36.09959574468080.39486838479828391.4218436685484
Trimmed Mean ( 19 / 27 )36.14397777777780.38895951788641692.9247803837842
Trimmed Mean ( 20 / 27 )36.19376744186050.38148901575824794.874992324279
Trimmed Mean ( 21 / 27 )36.25019512195120.37195724777202197.4579614702643
Trimmed Mean ( 22 / 27 )36.29946153846150.36406866714161299.7049864891068
Trimmed Mean ( 23 / 27 )36.35545945945950.353681032378832102.791657259467
Trimmed Mean ( 24 / 27 )36.41851428571430.339199332515368107.366114242174
Trimmed Mean ( 25 / 27 )36.4866969696970.321558366576339113.468349022214
Trimmed Mean ( 26 / 27 )36.55429032258060.301457517446215121.258513080877
Trimmed Mean ( 27 / 27 )36.62358620689660.279485591498514131.039263994013
Median36.799
Midrange33.4975
Midmean - Weighted Average at Xnp36.1244047619048
Midmean - Weighted Average at X(n+1)p36.1937674418605
Midmean - Empirical Distribution Function36.1937674418605
Midmean - Empirical Distribution Function - Averaging36.1937674418605
Midmean - Empirical Distribution Function - Interpolation36.2501951219512
Midmean - Closest Observation36.1244047619048
Midmean - True Basic - Statistics Graphics Toolkit36.1937674418605
Midmean - MS Excel (old versions)36.1937674418605
Number of observations83

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 34.9255301204819 & 0.588381341560461 & 59.358663597073 \tabularnewline
Geometric Mean & 34.4801687489182 &  &  \tabularnewline
Harmonic Mean & 33.9965362097244 &  &  \tabularnewline
Quadratic Mean & 35.3295973321322 &  &  \tabularnewline
Winsorized Mean ( 1 / 27 ) & 34.9154819277108 & 0.5861932101987 & 59.5630951028512 \tabularnewline
Winsorized Mean ( 2 / 27 ) & 34.9060843373494 & 0.581330809101483 & 60.045130570838 \tabularnewline
Winsorized Mean ( 3 / 27 ) & 34.9095180722892 & 0.578745900483376 & 60.3192489884287 \tabularnewline
Winsorized Mean ( 4 / 27 ) & 34.9104337349398 & 0.572974572788045 & 60.9284170588384 \tabularnewline
Winsorized Mean ( 5 / 27 ) & 34.9671204819277 & 0.561020313153862 & 62.3277262196704 \tabularnewline
Winsorized Mean ( 6 / 27 ) & 34.9578674698795 & 0.554030013787359 & 63.0974254100548 \tabularnewline
Winsorized Mean ( 7 / 27 ) & 34.934 & 0.543792884420206 & 64.2413701996979 \tabularnewline
Winsorized Mean ( 8 / 27 ) & 34.9029638554217 & 0.535012275571304 & 65.237687898191 \tabularnewline
Winsorized Mean ( 9 / 27 ) & 34.9056746987952 & 0.534417274630031 & 65.3153937117019 \tabularnewline
Winsorized Mean ( 10 / 27 ) & 34.8888072289157 & 0.531842130021581 & 65.5999313696716 \tabularnewline
Winsorized Mean ( 11 / 27 ) & 34.9025903614458 & 0.528602408553514 & 66.02805775508 \tabularnewline
Winsorized Mean ( 12 / 27 ) & 34.925 & 0.52258486200414 & 66.8312508442376 \tabularnewline
Winsorized Mean ( 13 / 27 ) & 35.0770843373494 & 0.492594775105269 & 71.208803077242 \tabularnewline
Winsorized Mean ( 14 / 27 ) & 35.1494457831325 & 0.478551693403936 & 73.4496320201371 \tabularnewline
Winsorized Mean ( 15 / 27 ) & 35.2002289156626 & 0.469454198289769 & 74.9811782361256 \tabularnewline
Winsorized Mean ( 16 / 27 ) & 35.2985421686747 & 0.451456026348611 & 78.1882179182993 \tabularnewline
Winsorized Mean ( 17 / 27 ) & 35.5840602409639 & 0.402871993179534 & 88.3259716321514 \tabularnewline
Winsorized Mean ( 18 / 27 ) & 35.6664698795181 & 0.382507690018268 & 93.243798256225 \tabularnewline
Winsorized Mean ( 19 / 27 ) & 35.6538795180723 & 0.37854090413419 & 94.1876535103146 \tabularnewline
Winsorized Mean ( 20 / 27 ) & 35.6362891566265 & 0.374228503100839 & 95.2260152857037 \tabularnewline
Winsorized Mean ( 21 / 27 ) & 35.7640602409639 & 0.352366525353439 & 101.496758822624 \tabularnewline
Winsorized Mean ( 22 / 27 ) & 35.7502771084337 & 0.348105110820043 & 102.699661674647 \tabularnewline
Winsorized Mean ( 23 / 27 ) & 35.7439036144578 & 0.346163079122787 & 103.257411810169 \tabularnewline
Winsorized Mean ( 24 / 27 ) & 35.7679036144578 & 0.334942710534397 & 106.788123728355 \tabularnewline
Winsorized Mean ( 25 / 27 ) & 35.8555542168675 & 0.318279309955513 & 112.654367077392 \tabularnewline
Winsorized Mean ( 26 / 27 ) & 35.9247831325301 & 0.29599535781964 & 121.369414024460 \tabularnewline
Winsorized Mean ( 27 / 27 ) & 36.0383132530120 & 0.277829526757335 & 129.713762513403 \tabularnewline
Trimmed Mean ( 1 / 27 ) & 34.9607901234568 & 0.577064744242934 & 60.5838261169857 \tabularnewline
Trimmed Mean ( 2 / 27 ) & 35.0083924050633 & 0.566379856322659 & 61.8108006742378 \tabularnewline
Trimmed Mean ( 3 / 27 ) & 35.0635324675325 & 0.556808545662112 & 62.9723317659173 \tabularnewline
Trimmed Mean ( 4 / 27 ) & 35.1203466666667 & 0.546623481427617 & 64.2496121369372 \tabularnewline
Trimmed Mean ( 5 / 27 ) & 35.1800136986301 & 0.536550188192539 & 65.567051270898 \tabularnewline
Trimmed Mean ( 6 / 27 ) & 35.2297887323944 & 0.528160261604207 & 66.7028386902665 \tabularnewline
Trimmed Mean ( 7 / 27 ) & 35.2297887323944 & 0.51986401154178 & 67.7673159715597 \tabularnewline
Trimmed Mean ( 8 / 27 ) & 35.3462985074627 & 0.512171166644142 & 69.0126676576883 \tabularnewline
Trimmed Mean ( 9 / 27 ) & 35.4170615384615 & 0.504568366030334 & 70.1927903588239 \tabularnewline
Trimmed Mean ( 10 / 27 ) & 35.4919206349206 & 0.495247451842895 & 71.6650242274837 \tabularnewline
Trimmed Mean ( 11 / 27 ) & 35.5739836065574 & 0.484143527183369 & 73.478176633938 \tabularnewline
Trimmed Mean ( 12 / 27 ) & 35.6598474576271 & 0.471004311915622 & 75.7102356719302 \tabularnewline
Trimmed Mean ( 13 / 27 ) & 35.7490175438597 & 0.455864749796785 & 78.4202278412529 \tabularnewline
Trimmed Mean ( 14 / 27 ) & 35.7490175438597 & 0.44347510415732 & 80.6111035517743 \tabularnewline
Trimmed Mean ( 15 / 27 ) & 35.9028113207547 & 0.430796449141124 & 83.3405460800198 \tabularnewline
Trimmed Mean ( 16 / 27 ) & 35.9790392156863 & 0.416590906644221 & 86.3653974243207 \tabularnewline
Trimmed Mean ( 17 / 27 ) & 36.0510816326531 & 0.402402058304671 & 89.589704845291 \tabularnewline
Trimmed Mean ( 18 / 27 ) & 36.0995957446808 & 0.394868384798283 & 91.4218436685484 \tabularnewline
Trimmed Mean ( 19 / 27 ) & 36.1439777777778 & 0.388959517886416 & 92.9247803837842 \tabularnewline
Trimmed Mean ( 20 / 27 ) & 36.1937674418605 & 0.381489015758247 & 94.874992324279 \tabularnewline
Trimmed Mean ( 21 / 27 ) & 36.2501951219512 & 0.371957247772021 & 97.4579614702643 \tabularnewline
Trimmed Mean ( 22 / 27 ) & 36.2994615384615 & 0.364068667141612 & 99.7049864891068 \tabularnewline
Trimmed Mean ( 23 / 27 ) & 36.3554594594595 & 0.353681032378832 & 102.791657259467 \tabularnewline
Trimmed Mean ( 24 / 27 ) & 36.4185142857143 & 0.339199332515368 & 107.366114242174 \tabularnewline
Trimmed Mean ( 25 / 27 ) & 36.486696969697 & 0.321558366576339 & 113.468349022214 \tabularnewline
Trimmed Mean ( 26 / 27 ) & 36.5542903225806 & 0.301457517446215 & 121.258513080877 \tabularnewline
Trimmed Mean ( 27 / 27 ) & 36.6235862068966 & 0.279485591498514 & 131.039263994013 \tabularnewline
Median & 36.799 &  &  \tabularnewline
Midrange & 33.4975 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 36.1244047619048 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 36.1937674418605 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 36.1937674418605 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 36.1937674418605 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 36.2501951219512 &  &  \tabularnewline
Midmean - Closest Observation & 36.1244047619048 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 36.1937674418605 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 36.1937674418605 &  &  \tabularnewline
Number of observations & 83 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96494&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]34.9255301204819[/C][C]0.588381341560461[/C][C]59.358663597073[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]34.4801687489182[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]33.9965362097244[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]35.3295973321322[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 27 )[/C][C]34.9154819277108[/C][C]0.5861932101987[/C][C]59.5630951028512[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 27 )[/C][C]34.9060843373494[/C][C]0.581330809101483[/C][C]60.045130570838[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 27 )[/C][C]34.9095180722892[/C][C]0.578745900483376[/C][C]60.3192489884287[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 27 )[/C][C]34.9104337349398[/C][C]0.572974572788045[/C][C]60.9284170588384[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 27 )[/C][C]34.9671204819277[/C][C]0.561020313153862[/C][C]62.3277262196704[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 27 )[/C][C]34.9578674698795[/C][C]0.554030013787359[/C][C]63.0974254100548[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 27 )[/C][C]34.934[/C][C]0.543792884420206[/C][C]64.2413701996979[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 27 )[/C][C]34.9029638554217[/C][C]0.535012275571304[/C][C]65.237687898191[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 27 )[/C][C]34.9056746987952[/C][C]0.534417274630031[/C][C]65.3153937117019[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 27 )[/C][C]34.8888072289157[/C][C]0.531842130021581[/C][C]65.5999313696716[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 27 )[/C][C]34.9025903614458[/C][C]0.528602408553514[/C][C]66.02805775508[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 27 )[/C][C]34.925[/C][C]0.52258486200414[/C][C]66.8312508442376[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 27 )[/C][C]35.0770843373494[/C][C]0.492594775105269[/C][C]71.208803077242[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 27 )[/C][C]35.1494457831325[/C][C]0.478551693403936[/C][C]73.4496320201371[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 27 )[/C][C]35.2002289156626[/C][C]0.469454198289769[/C][C]74.9811782361256[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 27 )[/C][C]35.2985421686747[/C][C]0.451456026348611[/C][C]78.1882179182993[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 27 )[/C][C]35.5840602409639[/C][C]0.402871993179534[/C][C]88.3259716321514[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 27 )[/C][C]35.6664698795181[/C][C]0.382507690018268[/C][C]93.243798256225[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 27 )[/C][C]35.6538795180723[/C][C]0.37854090413419[/C][C]94.1876535103146[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 27 )[/C][C]35.6362891566265[/C][C]0.374228503100839[/C][C]95.2260152857037[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 27 )[/C][C]35.7640602409639[/C][C]0.352366525353439[/C][C]101.496758822624[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 27 )[/C][C]35.7502771084337[/C][C]0.348105110820043[/C][C]102.699661674647[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 27 )[/C][C]35.7439036144578[/C][C]0.346163079122787[/C][C]103.257411810169[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 27 )[/C][C]35.7679036144578[/C][C]0.334942710534397[/C][C]106.788123728355[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 27 )[/C][C]35.8555542168675[/C][C]0.318279309955513[/C][C]112.654367077392[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 27 )[/C][C]35.9247831325301[/C][C]0.29599535781964[/C][C]121.369414024460[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 27 )[/C][C]36.0383132530120[/C][C]0.277829526757335[/C][C]129.713762513403[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 27 )[/C][C]34.9607901234568[/C][C]0.577064744242934[/C][C]60.5838261169857[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 27 )[/C][C]35.0083924050633[/C][C]0.566379856322659[/C][C]61.8108006742378[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 27 )[/C][C]35.0635324675325[/C][C]0.556808545662112[/C][C]62.9723317659173[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 27 )[/C][C]35.1203466666667[/C][C]0.546623481427617[/C][C]64.2496121369372[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 27 )[/C][C]35.1800136986301[/C][C]0.536550188192539[/C][C]65.567051270898[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 27 )[/C][C]35.2297887323944[/C][C]0.528160261604207[/C][C]66.7028386902665[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 27 )[/C][C]35.2297887323944[/C][C]0.51986401154178[/C][C]67.7673159715597[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 27 )[/C][C]35.3462985074627[/C][C]0.512171166644142[/C][C]69.0126676576883[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 27 )[/C][C]35.4170615384615[/C][C]0.504568366030334[/C][C]70.1927903588239[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 27 )[/C][C]35.4919206349206[/C][C]0.495247451842895[/C][C]71.6650242274837[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 27 )[/C][C]35.5739836065574[/C][C]0.484143527183369[/C][C]73.478176633938[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 27 )[/C][C]35.6598474576271[/C][C]0.471004311915622[/C][C]75.7102356719302[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 27 )[/C][C]35.7490175438597[/C][C]0.455864749796785[/C][C]78.4202278412529[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 27 )[/C][C]35.7490175438597[/C][C]0.44347510415732[/C][C]80.6111035517743[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 27 )[/C][C]35.9028113207547[/C][C]0.430796449141124[/C][C]83.3405460800198[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 27 )[/C][C]35.9790392156863[/C][C]0.416590906644221[/C][C]86.3653974243207[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 27 )[/C][C]36.0510816326531[/C][C]0.402402058304671[/C][C]89.589704845291[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 27 )[/C][C]36.0995957446808[/C][C]0.394868384798283[/C][C]91.4218436685484[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 27 )[/C][C]36.1439777777778[/C][C]0.388959517886416[/C][C]92.9247803837842[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 27 )[/C][C]36.1937674418605[/C][C]0.381489015758247[/C][C]94.874992324279[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 27 )[/C][C]36.2501951219512[/C][C]0.371957247772021[/C][C]97.4579614702643[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 27 )[/C][C]36.2994615384615[/C][C]0.364068667141612[/C][C]99.7049864891068[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 27 )[/C][C]36.3554594594595[/C][C]0.353681032378832[/C][C]102.791657259467[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 27 )[/C][C]36.4185142857143[/C][C]0.339199332515368[/C][C]107.366114242174[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 27 )[/C][C]36.486696969697[/C][C]0.321558366576339[/C][C]113.468349022214[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 27 )[/C][C]36.5542903225806[/C][C]0.301457517446215[/C][C]121.258513080877[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 27 )[/C][C]36.6235862068966[/C][C]0.279485591498514[/C][C]131.039263994013[/C][/ROW]
[ROW][C]Median[/C][C]36.799[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]33.4975[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]36.1244047619048[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]36.1937674418605[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]36.1937674418605[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]36.1937674418605[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]36.2501951219512[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]36.1244047619048[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]36.1937674418605[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]36.1937674418605[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]83[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96494&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96494&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 Mean34.92553012048190.58838134156046159.358663597073
Geometric Mean34.4801687489182
Harmonic Mean33.9965362097244
Quadratic Mean35.3295973321322
Winsorized Mean ( 1 / 27 )34.91548192771080.586193210198759.5630951028512
Winsorized Mean ( 2 / 27 )34.90608433734940.58133080910148360.045130570838
Winsorized Mean ( 3 / 27 )34.90951807228920.57874590048337660.3192489884287
Winsorized Mean ( 4 / 27 )34.91043373493980.57297457278804560.9284170588384
Winsorized Mean ( 5 / 27 )34.96712048192770.56102031315386262.3277262196704
Winsorized Mean ( 6 / 27 )34.95786746987950.55403001378735963.0974254100548
Winsorized Mean ( 7 / 27 )34.9340.54379288442020664.2413701996979
Winsorized Mean ( 8 / 27 )34.90296385542170.53501227557130465.237687898191
Winsorized Mean ( 9 / 27 )34.90567469879520.53441727463003165.3153937117019
Winsorized Mean ( 10 / 27 )34.88880722891570.53184213002158165.5999313696716
Winsorized Mean ( 11 / 27 )34.90259036144580.52860240855351466.02805775508
Winsorized Mean ( 12 / 27 )34.9250.5225848620041466.8312508442376
Winsorized Mean ( 13 / 27 )35.07708433734940.49259477510526971.208803077242
Winsorized Mean ( 14 / 27 )35.14944578313250.47855169340393673.4496320201371
Winsorized Mean ( 15 / 27 )35.20022891566260.46945419828976974.9811782361256
Winsorized Mean ( 16 / 27 )35.29854216867470.45145602634861178.1882179182993
Winsorized Mean ( 17 / 27 )35.58406024096390.40287199317953488.3259716321514
Winsorized Mean ( 18 / 27 )35.66646987951810.38250769001826893.243798256225
Winsorized Mean ( 19 / 27 )35.65387951807230.3785409041341994.1876535103146
Winsorized Mean ( 20 / 27 )35.63628915662650.37422850310083995.2260152857037
Winsorized Mean ( 21 / 27 )35.76406024096390.352366525353439101.496758822624
Winsorized Mean ( 22 / 27 )35.75027710843370.348105110820043102.699661674647
Winsorized Mean ( 23 / 27 )35.74390361445780.346163079122787103.257411810169
Winsorized Mean ( 24 / 27 )35.76790361445780.334942710534397106.788123728355
Winsorized Mean ( 25 / 27 )35.85555421686750.318279309955513112.654367077392
Winsorized Mean ( 26 / 27 )35.92478313253010.29599535781964121.369414024460
Winsorized Mean ( 27 / 27 )36.03831325301200.277829526757335129.713762513403
Trimmed Mean ( 1 / 27 )34.96079012345680.57706474424293460.5838261169857
Trimmed Mean ( 2 / 27 )35.00839240506330.56637985632265961.8108006742378
Trimmed Mean ( 3 / 27 )35.06353246753250.55680854566211262.9723317659173
Trimmed Mean ( 4 / 27 )35.12034666666670.54662348142761764.2496121369372
Trimmed Mean ( 5 / 27 )35.18001369863010.53655018819253965.567051270898
Trimmed Mean ( 6 / 27 )35.22978873239440.52816026160420766.7028386902665
Trimmed Mean ( 7 / 27 )35.22978873239440.5198640115417867.7673159715597
Trimmed Mean ( 8 / 27 )35.34629850746270.51217116664414269.0126676576883
Trimmed Mean ( 9 / 27 )35.41706153846150.50456836603033470.1927903588239
Trimmed Mean ( 10 / 27 )35.49192063492060.49524745184289571.6650242274837
Trimmed Mean ( 11 / 27 )35.57398360655740.48414352718336973.478176633938
Trimmed Mean ( 12 / 27 )35.65984745762710.47100431191562275.7102356719302
Trimmed Mean ( 13 / 27 )35.74901754385970.45586474979678578.4202278412529
Trimmed Mean ( 14 / 27 )35.74901754385970.4434751041573280.6111035517743
Trimmed Mean ( 15 / 27 )35.90281132075470.43079644914112483.3405460800198
Trimmed Mean ( 16 / 27 )35.97903921568630.41659090664422186.3653974243207
Trimmed Mean ( 17 / 27 )36.05108163265310.40240205830467189.589704845291
Trimmed Mean ( 18 / 27 )36.09959574468080.39486838479828391.4218436685484
Trimmed Mean ( 19 / 27 )36.14397777777780.38895951788641692.9247803837842
Trimmed Mean ( 20 / 27 )36.19376744186050.38148901575824794.874992324279
Trimmed Mean ( 21 / 27 )36.25019512195120.37195724777202197.4579614702643
Trimmed Mean ( 22 / 27 )36.29946153846150.36406866714161299.7049864891068
Trimmed Mean ( 23 / 27 )36.35545945945950.353681032378832102.791657259467
Trimmed Mean ( 24 / 27 )36.41851428571430.339199332515368107.366114242174
Trimmed Mean ( 25 / 27 )36.4866969696970.321558366576339113.468349022214
Trimmed Mean ( 26 / 27 )36.55429032258060.301457517446215121.258513080877
Trimmed Mean ( 27 / 27 )36.62358620689660.279485591498514131.039263994013
Median36.799
Midrange33.4975
Midmean - Weighted Average at Xnp36.1244047619048
Midmean - Weighted Average at X(n+1)p36.1937674418605
Midmean - Empirical Distribution Function36.1937674418605
Midmean - Empirical Distribution Function - Averaging36.1937674418605
Midmean - Empirical Distribution Function - Interpolation36.2501951219512
Midmean - Closest Observation36.1244047619048
Midmean - True Basic - Statistics Graphics Toolkit36.1937674418605
Midmean - MS Excel (old versions)36.1937674418605
Number of observations83



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')