Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationSun, 15 Aug 2010 14:34:10 +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/Aug/15/t1281883043bk657x1tshfcfyc.htm/, Retrieved Sun, 28 Apr 2024 09:43:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=78878, Retrieved Sun, 28 Apr 2024 09:43:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsCols Julien
Estimated Impact121
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [Tijdreeks B -Stap 9] [2010-08-15 14:34:10] [de7054811a4039cd82332eb5d7e753fd] [Current]
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Dataseries X:
80
79
78
76
74
73
74
76
77
77
78
80
90
90
89
82
78
76
74
78
81
82
88
99
117
113
106
100
97
96
100
104
104
111
117
118
140
147
134
126
116
114
120
122
117
119
132
134
154
152
132
130
123
129
124
128
128
129
141
138
155
160
142
133
131
140
134
134
134
136
145
137
152
168
160
157
147
161
159
164
163
158
175
163




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=78878&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=78878&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78878&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 Mean118.4404761904763.2259237155063536.7152129547135
Geometric Mean114.593705329835
Harmonic Mean110.642291239921
Quadratic Mean122.032343487876
Winsorized Mean ( 1 / 28 )118.3690476190483.2073486583930836.9055753602889
Winsorized Mean ( 2 / 28 )118.273809523813.1902457829477137.073572875168
Winsorized Mean ( 3 / 28 )118.2380952380953.1841375281133937.1334762378029
Winsorized Mean ( 4 / 28 )118.3333333333333.1685005409420237.3467928454738
Winsorized Mean ( 5 / 28 )118.2142857142863.148644465532837.5445011363905
Winsorized Mean ( 6 / 28 )118.1428571428573.1370558777876937.6604248522898
Winsorized Mean ( 7 / 28 )118.226190476193.1236862386115137.8482925124843
Winsorized Mean ( 8 / 28 )118.1309523809523.1084702708129738.0029217233135
Winsorized Mean ( 9 / 28 )118.1309523809523.0746487964367538.4209580352253
Winsorized Mean ( 10 / 28 )118.0119047619053.0562002123998438.6139312087926
Winsorized Mean ( 11 / 28 )117.753.0165861541225439.0341909642063
Winsorized Mean ( 12 / 28 )117.6071428571432.9955033165834339.2612293920882
Winsorized Mean ( 13 / 28 )117.4523809523812.9262499602991140.137507918283
Winsorized Mean ( 14 / 28 )117.6190476190482.9000318890517640.5578462992371
Winsorized Mean ( 15 / 28 )116.726190476192.7775300752875542.0251760781047
Winsorized Mean ( 16 / 28 )116.9166666666672.7473561240240942.5560653183241
Winsorized Mean ( 17 / 28 )116.7142857142862.6629117691426643.8295729759993
Winsorized Mean ( 18 / 28 )116.0714285714292.5828656534976244.9390112157978
Winsorized Mean ( 19 / 28 )117.2023809523812.3454390354577549.9703378261149
Winsorized Mean ( 20 / 28 )117.2023809523812.2809533241823151.3830685221919
Winsorized Mean ( 21 / 28 )117.4523809523812.2439058006262252.342830487627
Winsorized Mean ( 22 / 28 )116.9285714285712.1817046682365153.5950502975666
Winsorized Mean ( 23 / 28 )118.2976190476191.9116140913587561.8836299556333
Winsorized Mean ( 24 / 28 )118.2976190476191.8381733245105864.3560742995312
Winsorized Mean ( 25 / 28 )118.2976190476191.6876572417257270.0957612261677
Winsorized Mean ( 26 / 28 )118.6071428571431.6452454016856872.0908520611092
Winsorized Mean ( 27 / 28 )118.6071428571431.6452454016856872.0908520611092
Winsorized Mean ( 28 / 28 )119.9404761904761.4669187433793481.7635446624463
Trimmed Mean ( 1 / 28 )118.304878048783.1829060627093637.1688248782551
Trimmed Mean ( 2 / 28 )118.23753.1536719481152637.4920099316806
Trimmed Mean ( 3 / 28 )118.2179487179493.1290719690101837.7805144428636
Trimmed Mean ( 4 / 28 )118.2105263157893.1019131498623638.1089091166318
Trimmed Mean ( 5 / 28 )118.1756756756763.0743205609620938.4396074945071
Trimmed Mean ( 6 / 28 )118.1666666666673.0464582170500238.7882118340986
Trimmed Mean ( 7 / 28 )118.1714285714293.0153486885755339.189971302209
Trimmed Mean ( 8 / 28 )118.1617647058822.9804462468906839.6456620645829
Trimmed Mean ( 9 / 28 )118.1666666666672.9411146526708940.1775111212877
Trimmed Mean ( 10 / 28 )118.1718752.8999995456605440.748928797878
Trimmed Mean ( 11 / 28 )118.1935483870972.8531703455022541.4253388597767
Trimmed Mean ( 12 / 28 )118.252.8032089158656642.183798478496
Trimmed Mean ( 13 / 28 )118.3275862068972.7454398126149443.0996832140325
Trimmed Mean ( 14 / 28 )118.4285714285712.6870126731653944.0744372407663
Trimmed Mean ( 15 / 28 )118.5185185185192.6191709418440245.2503945523601
Trimmed Mean ( 16 / 28 )118.7115384615382.5567962458084846.4298000500235
Trimmed Mean ( 17 / 28 )118.92.4836198072448247.8736719900381
Trimmed Mean ( 18 / 28 )119.1252.4067032938608949.4971691374955
Trimmed Mean ( 19 / 28 )119.4347826086962.3220539329543651.4349735437617
Trimmed Mean ( 20 / 28 )119.6590909090912.2649417387972852.83097964923
Trimmed Mean ( 21 / 28 )119.9047619047622.2019971728274354.4527319945651
Trimmed Mean ( 22 / 28 )120.152.1257125502178956.52222356578
Trimmed Mean ( 23 / 28 )120.4736842105262.0341105549586359.2267140627351
Trimmed Mean ( 24 / 28 )120.6944444444441.9807884611158260.9325260186817
Trimmed Mean ( 25 / 28 )120.9411764705881.9222596887515762.9161487276128
Trimmed Mean ( 26 / 28 )121.218751.8760665649300464.6132457483035
Trimmed Mean ( 27 / 28 )121.51.8180133150758666.831193695042
Trimmed Mean ( 28 / 28 )121.8214285714291.72673773481670.5500471294269
Median122.5
Midrange124
Midmean - Weighted Average at Xnp119.659090909091
Midmean - Weighted Average at X(n+1)p120.372093023256
Midmean - Empirical Distribution Function119.659090909091
Midmean - Empirical Distribution Function - Averaging120.372093023256
Midmean - Empirical Distribution Function - Interpolation120.372093023256
Midmean - Closest Observation119.659090909091
Midmean - True Basic - Statistics Graphics Toolkit120.372093023256
Midmean - MS Excel (old versions)119.659090909091
Number of observations84

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 118.440476190476 & 3.22592371550635 & 36.7152129547135 \tabularnewline
Geometric Mean & 114.593705329835 &  &  \tabularnewline
Harmonic Mean & 110.642291239921 &  &  \tabularnewline
Quadratic Mean & 122.032343487876 &  &  \tabularnewline
Winsorized Mean ( 1 / 28 ) & 118.369047619048 & 3.20734865839308 & 36.9055753602889 \tabularnewline
Winsorized Mean ( 2 / 28 ) & 118.27380952381 & 3.19024578294771 & 37.073572875168 \tabularnewline
Winsorized Mean ( 3 / 28 ) & 118.238095238095 & 3.18413752811339 & 37.1334762378029 \tabularnewline
Winsorized Mean ( 4 / 28 ) & 118.333333333333 & 3.16850054094202 & 37.3467928454738 \tabularnewline
Winsorized Mean ( 5 / 28 ) & 118.214285714286 & 3.1486444655328 & 37.5445011363905 \tabularnewline
Winsorized Mean ( 6 / 28 ) & 118.142857142857 & 3.13705587778769 & 37.6604248522898 \tabularnewline
Winsorized Mean ( 7 / 28 ) & 118.22619047619 & 3.12368623861151 & 37.8482925124843 \tabularnewline
Winsorized Mean ( 8 / 28 ) & 118.130952380952 & 3.10847027081297 & 38.0029217233135 \tabularnewline
Winsorized Mean ( 9 / 28 ) & 118.130952380952 & 3.07464879643675 & 38.4209580352253 \tabularnewline
Winsorized Mean ( 10 / 28 ) & 118.011904761905 & 3.05620021239984 & 38.6139312087926 \tabularnewline
Winsorized Mean ( 11 / 28 ) & 117.75 & 3.01658615412254 & 39.0341909642063 \tabularnewline
Winsorized Mean ( 12 / 28 ) & 117.607142857143 & 2.99550331658343 & 39.2612293920882 \tabularnewline
Winsorized Mean ( 13 / 28 ) & 117.452380952381 & 2.92624996029911 & 40.137507918283 \tabularnewline
Winsorized Mean ( 14 / 28 ) & 117.619047619048 & 2.90003188905176 & 40.5578462992371 \tabularnewline
Winsorized Mean ( 15 / 28 ) & 116.72619047619 & 2.77753007528755 & 42.0251760781047 \tabularnewline
Winsorized Mean ( 16 / 28 ) & 116.916666666667 & 2.74735612402409 & 42.5560653183241 \tabularnewline
Winsorized Mean ( 17 / 28 ) & 116.714285714286 & 2.66291176914266 & 43.8295729759993 \tabularnewline
Winsorized Mean ( 18 / 28 ) & 116.071428571429 & 2.58286565349762 & 44.9390112157978 \tabularnewline
Winsorized Mean ( 19 / 28 ) & 117.202380952381 & 2.34543903545775 & 49.9703378261149 \tabularnewline
Winsorized Mean ( 20 / 28 ) & 117.202380952381 & 2.28095332418231 & 51.3830685221919 \tabularnewline
Winsorized Mean ( 21 / 28 ) & 117.452380952381 & 2.24390580062622 & 52.342830487627 \tabularnewline
Winsorized Mean ( 22 / 28 ) & 116.928571428571 & 2.18170466823651 & 53.5950502975666 \tabularnewline
Winsorized Mean ( 23 / 28 ) & 118.297619047619 & 1.91161409135875 & 61.8836299556333 \tabularnewline
Winsorized Mean ( 24 / 28 ) & 118.297619047619 & 1.83817332451058 & 64.3560742995312 \tabularnewline
Winsorized Mean ( 25 / 28 ) & 118.297619047619 & 1.68765724172572 & 70.0957612261677 \tabularnewline
Winsorized Mean ( 26 / 28 ) & 118.607142857143 & 1.64524540168568 & 72.0908520611092 \tabularnewline
Winsorized Mean ( 27 / 28 ) & 118.607142857143 & 1.64524540168568 & 72.0908520611092 \tabularnewline
Winsorized Mean ( 28 / 28 ) & 119.940476190476 & 1.46691874337934 & 81.7635446624463 \tabularnewline
Trimmed Mean ( 1 / 28 ) & 118.30487804878 & 3.18290606270936 & 37.1688248782551 \tabularnewline
Trimmed Mean ( 2 / 28 ) & 118.2375 & 3.15367194811526 & 37.4920099316806 \tabularnewline
Trimmed Mean ( 3 / 28 ) & 118.217948717949 & 3.12907196901018 & 37.7805144428636 \tabularnewline
Trimmed Mean ( 4 / 28 ) & 118.210526315789 & 3.10191314986236 & 38.1089091166318 \tabularnewline
Trimmed Mean ( 5 / 28 ) & 118.175675675676 & 3.07432056096209 & 38.4396074945071 \tabularnewline
Trimmed Mean ( 6 / 28 ) & 118.166666666667 & 3.04645821705002 & 38.7882118340986 \tabularnewline
Trimmed Mean ( 7 / 28 ) & 118.171428571429 & 3.01534868857553 & 39.189971302209 \tabularnewline
Trimmed Mean ( 8 / 28 ) & 118.161764705882 & 2.98044624689068 & 39.6456620645829 \tabularnewline
Trimmed Mean ( 9 / 28 ) & 118.166666666667 & 2.94111465267089 & 40.1775111212877 \tabularnewline
Trimmed Mean ( 10 / 28 ) & 118.171875 & 2.89999954566054 & 40.748928797878 \tabularnewline
Trimmed Mean ( 11 / 28 ) & 118.193548387097 & 2.85317034550225 & 41.4253388597767 \tabularnewline
Trimmed Mean ( 12 / 28 ) & 118.25 & 2.80320891586566 & 42.183798478496 \tabularnewline
Trimmed Mean ( 13 / 28 ) & 118.327586206897 & 2.74543981261494 & 43.0996832140325 \tabularnewline
Trimmed Mean ( 14 / 28 ) & 118.428571428571 & 2.68701267316539 & 44.0744372407663 \tabularnewline
Trimmed Mean ( 15 / 28 ) & 118.518518518519 & 2.61917094184402 & 45.2503945523601 \tabularnewline
Trimmed Mean ( 16 / 28 ) & 118.711538461538 & 2.55679624580848 & 46.4298000500235 \tabularnewline
Trimmed Mean ( 17 / 28 ) & 118.9 & 2.48361980724482 & 47.8736719900381 \tabularnewline
Trimmed Mean ( 18 / 28 ) & 119.125 & 2.40670329386089 & 49.4971691374955 \tabularnewline
Trimmed Mean ( 19 / 28 ) & 119.434782608696 & 2.32205393295436 & 51.4349735437617 \tabularnewline
Trimmed Mean ( 20 / 28 ) & 119.659090909091 & 2.26494173879728 & 52.83097964923 \tabularnewline
Trimmed Mean ( 21 / 28 ) & 119.904761904762 & 2.20199717282743 & 54.4527319945651 \tabularnewline
Trimmed Mean ( 22 / 28 ) & 120.15 & 2.12571255021789 & 56.52222356578 \tabularnewline
Trimmed Mean ( 23 / 28 ) & 120.473684210526 & 2.03411055495863 & 59.2267140627351 \tabularnewline
Trimmed Mean ( 24 / 28 ) & 120.694444444444 & 1.98078846111582 & 60.9325260186817 \tabularnewline
Trimmed Mean ( 25 / 28 ) & 120.941176470588 & 1.92225968875157 & 62.9161487276128 \tabularnewline
Trimmed Mean ( 26 / 28 ) & 121.21875 & 1.87606656493004 & 64.6132457483035 \tabularnewline
Trimmed Mean ( 27 / 28 ) & 121.5 & 1.81801331507586 & 66.831193695042 \tabularnewline
Trimmed Mean ( 28 / 28 ) & 121.821428571429 & 1.726737734816 & 70.5500471294269 \tabularnewline
Median & 122.5 &  &  \tabularnewline
Midrange & 124 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 119.659090909091 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 120.372093023256 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 119.659090909091 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 120.372093023256 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 120.372093023256 &  &  \tabularnewline
Midmean - Closest Observation & 119.659090909091 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 120.372093023256 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 119.659090909091 &  &  \tabularnewline
Number of observations & 84 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78878&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]118.440476190476[/C][C]3.22592371550635[/C][C]36.7152129547135[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]114.593705329835[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]110.642291239921[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]122.032343487876[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 28 )[/C][C]118.369047619048[/C][C]3.20734865839308[/C][C]36.9055753602889[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 28 )[/C][C]118.27380952381[/C][C]3.19024578294771[/C][C]37.073572875168[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 28 )[/C][C]118.238095238095[/C][C]3.18413752811339[/C][C]37.1334762378029[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 28 )[/C][C]118.333333333333[/C][C]3.16850054094202[/C][C]37.3467928454738[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 28 )[/C][C]118.214285714286[/C][C]3.1486444655328[/C][C]37.5445011363905[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 28 )[/C][C]118.142857142857[/C][C]3.13705587778769[/C][C]37.6604248522898[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 28 )[/C][C]118.22619047619[/C][C]3.12368623861151[/C][C]37.8482925124843[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 28 )[/C][C]118.130952380952[/C][C]3.10847027081297[/C][C]38.0029217233135[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 28 )[/C][C]118.130952380952[/C][C]3.07464879643675[/C][C]38.4209580352253[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 28 )[/C][C]118.011904761905[/C][C]3.05620021239984[/C][C]38.6139312087926[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 28 )[/C][C]117.75[/C][C]3.01658615412254[/C][C]39.0341909642063[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 28 )[/C][C]117.607142857143[/C][C]2.99550331658343[/C][C]39.2612293920882[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 28 )[/C][C]117.452380952381[/C][C]2.92624996029911[/C][C]40.137507918283[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 28 )[/C][C]117.619047619048[/C][C]2.90003188905176[/C][C]40.5578462992371[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 28 )[/C][C]116.72619047619[/C][C]2.77753007528755[/C][C]42.0251760781047[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 28 )[/C][C]116.916666666667[/C][C]2.74735612402409[/C][C]42.5560653183241[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 28 )[/C][C]116.714285714286[/C][C]2.66291176914266[/C][C]43.8295729759993[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 28 )[/C][C]116.071428571429[/C][C]2.58286565349762[/C][C]44.9390112157978[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 28 )[/C][C]117.202380952381[/C][C]2.34543903545775[/C][C]49.9703378261149[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 28 )[/C][C]117.202380952381[/C][C]2.28095332418231[/C][C]51.3830685221919[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 28 )[/C][C]117.452380952381[/C][C]2.24390580062622[/C][C]52.342830487627[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 28 )[/C][C]116.928571428571[/C][C]2.18170466823651[/C][C]53.5950502975666[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 28 )[/C][C]118.297619047619[/C][C]1.91161409135875[/C][C]61.8836299556333[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 28 )[/C][C]118.297619047619[/C][C]1.83817332451058[/C][C]64.3560742995312[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 28 )[/C][C]118.297619047619[/C][C]1.68765724172572[/C][C]70.0957612261677[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 28 )[/C][C]118.607142857143[/C][C]1.64524540168568[/C][C]72.0908520611092[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 28 )[/C][C]118.607142857143[/C][C]1.64524540168568[/C][C]72.0908520611092[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 28 )[/C][C]119.940476190476[/C][C]1.46691874337934[/C][C]81.7635446624463[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 28 )[/C][C]118.30487804878[/C][C]3.18290606270936[/C][C]37.1688248782551[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 28 )[/C][C]118.2375[/C][C]3.15367194811526[/C][C]37.4920099316806[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 28 )[/C][C]118.217948717949[/C][C]3.12907196901018[/C][C]37.7805144428636[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 28 )[/C][C]118.210526315789[/C][C]3.10191314986236[/C][C]38.1089091166318[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 28 )[/C][C]118.175675675676[/C][C]3.07432056096209[/C][C]38.4396074945071[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 28 )[/C][C]118.166666666667[/C][C]3.04645821705002[/C][C]38.7882118340986[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 28 )[/C][C]118.171428571429[/C][C]3.01534868857553[/C][C]39.189971302209[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 28 )[/C][C]118.161764705882[/C][C]2.98044624689068[/C][C]39.6456620645829[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 28 )[/C][C]118.166666666667[/C][C]2.94111465267089[/C][C]40.1775111212877[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 28 )[/C][C]118.171875[/C][C]2.89999954566054[/C][C]40.748928797878[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 28 )[/C][C]118.193548387097[/C][C]2.85317034550225[/C][C]41.4253388597767[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 28 )[/C][C]118.25[/C][C]2.80320891586566[/C][C]42.183798478496[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 28 )[/C][C]118.327586206897[/C][C]2.74543981261494[/C][C]43.0996832140325[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 28 )[/C][C]118.428571428571[/C][C]2.68701267316539[/C][C]44.0744372407663[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 28 )[/C][C]118.518518518519[/C][C]2.61917094184402[/C][C]45.2503945523601[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 28 )[/C][C]118.711538461538[/C][C]2.55679624580848[/C][C]46.4298000500235[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 28 )[/C][C]118.9[/C][C]2.48361980724482[/C][C]47.8736719900381[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 28 )[/C][C]119.125[/C][C]2.40670329386089[/C][C]49.4971691374955[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 28 )[/C][C]119.434782608696[/C][C]2.32205393295436[/C][C]51.4349735437617[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 28 )[/C][C]119.659090909091[/C][C]2.26494173879728[/C][C]52.83097964923[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 28 )[/C][C]119.904761904762[/C][C]2.20199717282743[/C][C]54.4527319945651[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 28 )[/C][C]120.15[/C][C]2.12571255021789[/C][C]56.52222356578[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 28 )[/C][C]120.473684210526[/C][C]2.03411055495863[/C][C]59.2267140627351[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 28 )[/C][C]120.694444444444[/C][C]1.98078846111582[/C][C]60.9325260186817[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 28 )[/C][C]120.941176470588[/C][C]1.92225968875157[/C][C]62.9161487276128[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 28 )[/C][C]121.21875[/C][C]1.87606656493004[/C][C]64.6132457483035[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 28 )[/C][C]121.5[/C][C]1.81801331507586[/C][C]66.831193695042[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 28 )[/C][C]121.821428571429[/C][C]1.726737734816[/C][C]70.5500471294269[/C][/ROW]
[ROW][C]Median[/C][C]122.5[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]124[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]119.659090909091[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]120.372093023256[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]119.659090909091[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]120.372093023256[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]120.372093023256[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]119.659090909091[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]120.372093023256[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]119.659090909091[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]84[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78878&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78878&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 Mean118.4404761904763.2259237155063536.7152129547135
Geometric Mean114.593705329835
Harmonic Mean110.642291239921
Quadratic Mean122.032343487876
Winsorized Mean ( 1 / 28 )118.3690476190483.2073486583930836.9055753602889
Winsorized Mean ( 2 / 28 )118.273809523813.1902457829477137.073572875168
Winsorized Mean ( 3 / 28 )118.2380952380953.1841375281133937.1334762378029
Winsorized Mean ( 4 / 28 )118.3333333333333.1685005409420237.3467928454738
Winsorized Mean ( 5 / 28 )118.2142857142863.148644465532837.5445011363905
Winsorized Mean ( 6 / 28 )118.1428571428573.1370558777876937.6604248522898
Winsorized Mean ( 7 / 28 )118.226190476193.1236862386115137.8482925124843
Winsorized Mean ( 8 / 28 )118.1309523809523.1084702708129738.0029217233135
Winsorized Mean ( 9 / 28 )118.1309523809523.0746487964367538.4209580352253
Winsorized Mean ( 10 / 28 )118.0119047619053.0562002123998438.6139312087926
Winsorized Mean ( 11 / 28 )117.753.0165861541225439.0341909642063
Winsorized Mean ( 12 / 28 )117.6071428571432.9955033165834339.2612293920882
Winsorized Mean ( 13 / 28 )117.4523809523812.9262499602991140.137507918283
Winsorized Mean ( 14 / 28 )117.6190476190482.9000318890517640.5578462992371
Winsorized Mean ( 15 / 28 )116.726190476192.7775300752875542.0251760781047
Winsorized Mean ( 16 / 28 )116.9166666666672.7473561240240942.5560653183241
Winsorized Mean ( 17 / 28 )116.7142857142862.6629117691426643.8295729759993
Winsorized Mean ( 18 / 28 )116.0714285714292.5828656534976244.9390112157978
Winsorized Mean ( 19 / 28 )117.2023809523812.3454390354577549.9703378261149
Winsorized Mean ( 20 / 28 )117.2023809523812.2809533241823151.3830685221919
Winsorized Mean ( 21 / 28 )117.4523809523812.2439058006262252.342830487627
Winsorized Mean ( 22 / 28 )116.9285714285712.1817046682365153.5950502975666
Winsorized Mean ( 23 / 28 )118.2976190476191.9116140913587561.8836299556333
Winsorized Mean ( 24 / 28 )118.2976190476191.8381733245105864.3560742995312
Winsorized Mean ( 25 / 28 )118.2976190476191.6876572417257270.0957612261677
Winsorized Mean ( 26 / 28 )118.6071428571431.6452454016856872.0908520611092
Winsorized Mean ( 27 / 28 )118.6071428571431.6452454016856872.0908520611092
Winsorized Mean ( 28 / 28 )119.9404761904761.4669187433793481.7635446624463
Trimmed Mean ( 1 / 28 )118.304878048783.1829060627093637.1688248782551
Trimmed Mean ( 2 / 28 )118.23753.1536719481152637.4920099316806
Trimmed Mean ( 3 / 28 )118.2179487179493.1290719690101837.7805144428636
Trimmed Mean ( 4 / 28 )118.2105263157893.1019131498623638.1089091166318
Trimmed Mean ( 5 / 28 )118.1756756756763.0743205609620938.4396074945071
Trimmed Mean ( 6 / 28 )118.1666666666673.0464582170500238.7882118340986
Trimmed Mean ( 7 / 28 )118.1714285714293.0153486885755339.189971302209
Trimmed Mean ( 8 / 28 )118.1617647058822.9804462468906839.6456620645829
Trimmed Mean ( 9 / 28 )118.1666666666672.9411146526708940.1775111212877
Trimmed Mean ( 10 / 28 )118.1718752.8999995456605440.748928797878
Trimmed Mean ( 11 / 28 )118.1935483870972.8531703455022541.4253388597767
Trimmed Mean ( 12 / 28 )118.252.8032089158656642.183798478496
Trimmed Mean ( 13 / 28 )118.3275862068972.7454398126149443.0996832140325
Trimmed Mean ( 14 / 28 )118.4285714285712.6870126731653944.0744372407663
Trimmed Mean ( 15 / 28 )118.5185185185192.6191709418440245.2503945523601
Trimmed Mean ( 16 / 28 )118.7115384615382.5567962458084846.4298000500235
Trimmed Mean ( 17 / 28 )118.92.4836198072448247.8736719900381
Trimmed Mean ( 18 / 28 )119.1252.4067032938608949.4971691374955
Trimmed Mean ( 19 / 28 )119.4347826086962.3220539329543651.4349735437617
Trimmed Mean ( 20 / 28 )119.6590909090912.2649417387972852.83097964923
Trimmed Mean ( 21 / 28 )119.9047619047622.2019971728274354.4527319945651
Trimmed Mean ( 22 / 28 )120.152.1257125502178956.52222356578
Trimmed Mean ( 23 / 28 )120.4736842105262.0341105549586359.2267140627351
Trimmed Mean ( 24 / 28 )120.6944444444441.9807884611158260.9325260186817
Trimmed Mean ( 25 / 28 )120.9411764705881.9222596887515762.9161487276128
Trimmed Mean ( 26 / 28 )121.218751.8760665649300464.6132457483035
Trimmed Mean ( 27 / 28 )121.51.8180133150758666.831193695042
Trimmed Mean ( 28 / 28 )121.8214285714291.72673773481670.5500471294269
Median122.5
Midrange124
Midmean - Weighted Average at Xnp119.659090909091
Midmean - Weighted Average at X(n+1)p120.372093023256
Midmean - Empirical Distribution Function119.659090909091
Midmean - Empirical Distribution Function - Averaging120.372093023256
Midmean - Empirical Distribution Function - Interpolation120.372093023256
Midmean - Closest Observation119.659090909091
Midmean - True Basic - Statistics Graphics Toolkit120.372093023256
Midmean - MS Excel (old versions)119.659090909091
Number of observations84



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')