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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 08:31:50 -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/t1268836394vweozjljnp3j15l.htm/, Retrieved Fri, 21 Jan 2022 10:50:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=74509, Retrieved Fri, 21 Jan 2022 10:50:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP1W52
Estimated Impact131
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [] [2010-03-17 14:31:50] [fa169e33c07134f82fd2ac8a5210a945] [Current]
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Dataseries X:
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,46
0,46
0,46
0,45
0,45
0,46
0,46
0,46
0,46
0,46
0,44
0,44
0,43
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,43
0,43
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74509&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74509&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74509&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'Gwilym Jenkins' @ 72.249.127.135







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean0.4340277777777780.00263641676479212164.627908445272
Geometric Mean0.433466590375173
Harmonic Mean0.432913321464613
Quadratic Mean0.434595917043765
Winsorized Mean ( 1 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 2 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 3 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 4 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 5 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 6 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 7 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 8 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 9 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 10 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 11 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 12 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 13 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 14 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 15 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 16 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 17 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 18 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 19 / 24 )0.4298611111111110.00195301876558590220.100860619306
Winsorized Mean ( 20 / 24 )0.4298611111111110.00195301876558590220.100860619306
Winsorized Mean ( 21 / 24 )0.4298611111111110.00116167704907013370.034952016306
Winsorized Mean ( 22 / 24 )0.4298611111111110.00116167704907013370.034952016306
Winsorized Mean ( 23 / 24 )0.4298611111111110.00116167704907013370.034952016306
Winsorized Mean ( 24 / 24 )0.4298611111111110.00116167704907013370.034952016306
Trimmed Mean ( 1 / 24 )0.4338571428571430.00263981975310754164.351047963186
Trimmed Mean ( 2 / 24 )0.4336764705882350.00264113814497106164.200600946978
Trimmed Mean ( 3 / 24 )0.4334848484848480.00263995147446418164.201824419076
Trimmed Mean ( 4 / 24 )0.433281250.00263574602685164.386570476146
Trimmed Mean ( 5 / 24 )0.4330645161290320.00262788920526867164.795576335859
Trimmed Mean ( 6 / 24 )0.4328333333333330.00261559498007847165.481787750009
Trimmed Mean ( 7 / 24 )0.4325862068965520.00259787647503250166.515310121179
Trimmed Mean ( 8 / 24 )0.4323214285714290.00257347952119521167.991011784171
Trimmed Mean ( 9 / 24 )0.4320370370370370.00254078719196057170.040623002220
Trimmed Mean ( 10 / 24 )0.4317307692307690.00249767846728803172.852821083708
Trimmed Mean ( 11 / 24 )0.43140.00244131112314674176.708325255957
Trimmed Mean ( 12 / 24 )0.431250.00243032335939185177.445523178411
Trimmed Mean ( 13 / 24 )0.4310869565217390.00241229261068626178.704256113897
Trimmed Mean ( 14 / 24 )0.4309090909090910.00238516782683644180.661958483913
Trimmed Mean ( 15 / 24 )0.4307142857142860.00234614511075157183.583821708415
Trimmed Mean ( 16 / 24 )0.43050.00229128784747792187.885603493189
Trimmed Mean ( 17 / 24 )0.4302631578947370.00221487413644511194.260771217145
Trimmed Mean ( 18 / 24 )0.430.00210818510677892203.966909080860
Trimmed Mean ( 19 / 24 )0.4297058823529410.00195699276910591219.574588693683
Trimmed Mean ( 20 / 24 )0.42968750.00187751846990615228.859266573010
Trimmed Mean ( 21 / 24 )0.4296666666666670.00176057287785469244.049350112804
Trimmed Mean ( 22 / 24 )0.4296428571428570.00181718303838973236.433451152823
Trimmed Mean ( 23 / 24 )0.4296153846153850.00187950641890317228.578833407813
Trimmed Mean ( 24 / 24 )0.4295833333333330.00194853778944834220.464460920183
Median0.43
Midrange0.44
Midmean - Weighted Average at Xnp0.427540983606558
Midmean - Weighted Average at X(n+1)p0.427540983606558
Midmean - Empirical Distribution Function0.427540983606558
Midmean - Empirical Distribution Function - Averaging0.427540983606558
Midmean - Empirical Distribution Function - Interpolation0.427540983606558
Midmean - Closest Observation0.427540983606558
Midmean - True Basic - Statistics Graphics Toolkit0.427540983606558
Midmean - MS Excel (old versions)0.427540983606558
Number of observations72

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 0.434027777777778 & 0.00263641676479212 & 164.627908445272 \tabularnewline
Geometric Mean & 0.433466590375173 &  &  \tabularnewline
Harmonic Mean & 0.432913321464613 &  &  \tabularnewline
Quadratic Mean & 0.434595917043765 &  &  \tabularnewline
Winsorized Mean ( 1 / 24 ) & 0.434027777777778 & 0.00263641676479212 & 164.627908445272 \tabularnewline
Winsorized Mean ( 2 / 24 ) & 0.434027777777778 & 0.00263641676479212 & 164.627908445272 \tabularnewline
Winsorized Mean ( 3 / 24 ) & 0.434027777777778 & 0.00263641676479212 & 164.627908445272 \tabularnewline
Winsorized Mean ( 4 / 24 ) & 0.434027777777778 & 0.00263641676479212 & 164.627908445272 \tabularnewline
Winsorized Mean ( 5 / 24 ) & 0.434027777777778 & 0.00263641676479212 & 164.627908445272 \tabularnewline
Winsorized Mean ( 6 / 24 ) & 0.434027777777778 & 0.00263641676479212 & 164.627908445272 \tabularnewline
Winsorized Mean ( 7 / 24 ) & 0.434027777777778 & 0.00263641676479212 & 164.627908445272 \tabularnewline
Winsorized Mean ( 8 / 24 ) & 0.434027777777778 & 0.00263641676479212 & 164.627908445272 \tabularnewline
Winsorized Mean ( 9 / 24 ) & 0.434027777777778 & 0.00263641676479212 & 164.627908445272 \tabularnewline
Winsorized Mean ( 10 / 24 ) & 0.434027777777778 & 0.00263641676479212 & 164.627908445272 \tabularnewline
Winsorized Mean ( 11 / 24 ) & 0.4325 & 0.00236323893810174 & 183.011541079042 \tabularnewline
Winsorized Mean ( 12 / 24 ) & 0.4325 & 0.00236323893810174 & 183.011541079042 \tabularnewline
Winsorized Mean ( 13 / 24 ) & 0.4325 & 0.00236323893810174 & 183.011541079042 \tabularnewline
Winsorized Mean ( 14 / 24 ) & 0.4325 & 0.00236323893810174 & 183.011541079042 \tabularnewline
Winsorized Mean ( 15 / 24 ) & 0.4325 & 0.00236323893810174 & 183.011541079042 \tabularnewline
Winsorized Mean ( 16 / 24 ) & 0.4325 & 0.00236323893810174 & 183.011541079042 \tabularnewline
Winsorized Mean ( 17 / 24 ) & 0.4325 & 0.00236323893810174 & 183.011541079042 \tabularnewline
Winsorized Mean ( 18 / 24 ) & 0.4325 & 0.00236323893810174 & 183.011541079042 \tabularnewline
Winsorized Mean ( 19 / 24 ) & 0.429861111111111 & 0.00195301876558590 & 220.100860619306 \tabularnewline
Winsorized Mean ( 20 / 24 ) & 0.429861111111111 & 0.00195301876558590 & 220.100860619306 \tabularnewline
Winsorized Mean ( 21 / 24 ) & 0.429861111111111 & 0.00116167704907013 & 370.034952016306 \tabularnewline
Winsorized Mean ( 22 / 24 ) & 0.429861111111111 & 0.00116167704907013 & 370.034952016306 \tabularnewline
Winsorized Mean ( 23 / 24 ) & 0.429861111111111 & 0.00116167704907013 & 370.034952016306 \tabularnewline
Winsorized Mean ( 24 / 24 ) & 0.429861111111111 & 0.00116167704907013 & 370.034952016306 \tabularnewline
Trimmed Mean ( 1 / 24 ) & 0.433857142857143 & 0.00263981975310754 & 164.351047963186 \tabularnewline
Trimmed Mean ( 2 / 24 ) & 0.433676470588235 & 0.00264113814497106 & 164.200600946978 \tabularnewline
Trimmed Mean ( 3 / 24 ) & 0.433484848484848 & 0.00263995147446418 & 164.201824419076 \tabularnewline
Trimmed Mean ( 4 / 24 ) & 0.43328125 & 0.00263574602685 & 164.386570476146 \tabularnewline
Trimmed Mean ( 5 / 24 ) & 0.433064516129032 & 0.00262788920526867 & 164.795576335859 \tabularnewline
Trimmed Mean ( 6 / 24 ) & 0.432833333333333 & 0.00261559498007847 & 165.481787750009 \tabularnewline
Trimmed Mean ( 7 / 24 ) & 0.432586206896552 & 0.00259787647503250 & 166.515310121179 \tabularnewline
Trimmed Mean ( 8 / 24 ) & 0.432321428571429 & 0.00257347952119521 & 167.991011784171 \tabularnewline
Trimmed Mean ( 9 / 24 ) & 0.432037037037037 & 0.00254078719196057 & 170.040623002220 \tabularnewline
Trimmed Mean ( 10 / 24 ) & 0.431730769230769 & 0.00249767846728803 & 172.852821083708 \tabularnewline
Trimmed Mean ( 11 / 24 ) & 0.4314 & 0.00244131112314674 & 176.708325255957 \tabularnewline
Trimmed Mean ( 12 / 24 ) & 0.43125 & 0.00243032335939185 & 177.445523178411 \tabularnewline
Trimmed Mean ( 13 / 24 ) & 0.431086956521739 & 0.00241229261068626 & 178.704256113897 \tabularnewline
Trimmed Mean ( 14 / 24 ) & 0.430909090909091 & 0.00238516782683644 & 180.661958483913 \tabularnewline
Trimmed Mean ( 15 / 24 ) & 0.430714285714286 & 0.00234614511075157 & 183.583821708415 \tabularnewline
Trimmed Mean ( 16 / 24 ) & 0.4305 & 0.00229128784747792 & 187.885603493189 \tabularnewline
Trimmed Mean ( 17 / 24 ) & 0.430263157894737 & 0.00221487413644511 & 194.260771217145 \tabularnewline
Trimmed Mean ( 18 / 24 ) & 0.43 & 0.00210818510677892 & 203.966909080860 \tabularnewline
Trimmed Mean ( 19 / 24 ) & 0.429705882352941 & 0.00195699276910591 & 219.574588693683 \tabularnewline
Trimmed Mean ( 20 / 24 ) & 0.4296875 & 0.00187751846990615 & 228.859266573010 \tabularnewline
Trimmed Mean ( 21 / 24 ) & 0.429666666666667 & 0.00176057287785469 & 244.049350112804 \tabularnewline
Trimmed Mean ( 22 / 24 ) & 0.429642857142857 & 0.00181718303838973 & 236.433451152823 \tabularnewline
Trimmed Mean ( 23 / 24 ) & 0.429615384615385 & 0.00187950641890317 & 228.578833407813 \tabularnewline
Trimmed Mean ( 24 / 24 ) & 0.429583333333333 & 0.00194853778944834 & 220.464460920183 \tabularnewline
Median & 0.43 &  &  \tabularnewline
Midrange & 0.44 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 0.427540983606558 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 0.427540983606558 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 0.427540983606558 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 0.427540983606558 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 0.427540983606558 &  &  \tabularnewline
Midmean - Closest Observation & 0.427540983606558 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 0.427540983606558 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 0.427540983606558 &  &  \tabularnewline
Number of observations & 72 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74509&T=1

[TABLE]
[ROW][C]Central Tendency - Ungrouped Data[/C][/ROW]
[ROW][C]Measure[/C][C]Value[/C][C]S.E.[/C][C]Value/S.E.[/C][/ROW]
[ROW][C]Arithmetic Mean[/C][C]0.434027777777778[/C][C]0.00263641676479212[/C][C]164.627908445272[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]0.433466590375173[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]0.432913321464613[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]0.434595917043765[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 24 )[/C][C]0.434027777777778[/C][C]0.00263641676479212[/C][C]164.627908445272[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 24 )[/C][C]0.434027777777778[/C][C]0.00263641676479212[/C][C]164.627908445272[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 24 )[/C][C]0.434027777777778[/C][C]0.00263641676479212[/C][C]164.627908445272[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 24 )[/C][C]0.434027777777778[/C][C]0.00263641676479212[/C][C]164.627908445272[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 24 )[/C][C]0.434027777777778[/C][C]0.00263641676479212[/C][C]164.627908445272[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 24 )[/C][C]0.434027777777778[/C][C]0.00263641676479212[/C][C]164.627908445272[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 24 )[/C][C]0.434027777777778[/C][C]0.00263641676479212[/C][C]164.627908445272[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 24 )[/C][C]0.434027777777778[/C][C]0.00263641676479212[/C][C]164.627908445272[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 24 )[/C][C]0.434027777777778[/C][C]0.00263641676479212[/C][C]164.627908445272[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 24 )[/C][C]0.434027777777778[/C][C]0.00263641676479212[/C][C]164.627908445272[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 24 )[/C][C]0.4325[/C][C]0.00236323893810174[/C][C]183.011541079042[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 24 )[/C][C]0.4325[/C][C]0.00236323893810174[/C][C]183.011541079042[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 24 )[/C][C]0.4325[/C][C]0.00236323893810174[/C][C]183.011541079042[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 24 )[/C][C]0.4325[/C][C]0.00236323893810174[/C][C]183.011541079042[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 24 )[/C][C]0.4325[/C][C]0.00236323893810174[/C][C]183.011541079042[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 24 )[/C][C]0.4325[/C][C]0.00236323893810174[/C][C]183.011541079042[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 24 )[/C][C]0.4325[/C][C]0.00236323893810174[/C][C]183.011541079042[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 24 )[/C][C]0.4325[/C][C]0.00236323893810174[/C][C]183.011541079042[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 24 )[/C][C]0.429861111111111[/C][C]0.00195301876558590[/C][C]220.100860619306[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 24 )[/C][C]0.429861111111111[/C][C]0.00195301876558590[/C][C]220.100860619306[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 24 )[/C][C]0.429861111111111[/C][C]0.00116167704907013[/C][C]370.034952016306[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 24 )[/C][C]0.429861111111111[/C][C]0.00116167704907013[/C][C]370.034952016306[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 24 )[/C][C]0.429861111111111[/C][C]0.00116167704907013[/C][C]370.034952016306[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 24 )[/C][C]0.429861111111111[/C][C]0.00116167704907013[/C][C]370.034952016306[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 24 )[/C][C]0.433857142857143[/C][C]0.00263981975310754[/C][C]164.351047963186[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 24 )[/C][C]0.433676470588235[/C][C]0.00264113814497106[/C][C]164.200600946978[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 24 )[/C][C]0.433484848484848[/C][C]0.00263995147446418[/C][C]164.201824419076[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 24 )[/C][C]0.43328125[/C][C]0.00263574602685[/C][C]164.386570476146[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 24 )[/C][C]0.433064516129032[/C][C]0.00262788920526867[/C][C]164.795576335859[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 24 )[/C][C]0.432833333333333[/C][C]0.00261559498007847[/C][C]165.481787750009[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 24 )[/C][C]0.432586206896552[/C][C]0.00259787647503250[/C][C]166.515310121179[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 24 )[/C][C]0.432321428571429[/C][C]0.00257347952119521[/C][C]167.991011784171[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 24 )[/C][C]0.432037037037037[/C][C]0.00254078719196057[/C][C]170.040623002220[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 24 )[/C][C]0.431730769230769[/C][C]0.00249767846728803[/C][C]172.852821083708[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 24 )[/C][C]0.4314[/C][C]0.00244131112314674[/C][C]176.708325255957[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 24 )[/C][C]0.43125[/C][C]0.00243032335939185[/C][C]177.445523178411[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 24 )[/C][C]0.431086956521739[/C][C]0.00241229261068626[/C][C]178.704256113897[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 24 )[/C][C]0.430909090909091[/C][C]0.00238516782683644[/C][C]180.661958483913[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 24 )[/C][C]0.430714285714286[/C][C]0.00234614511075157[/C][C]183.583821708415[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 24 )[/C][C]0.4305[/C][C]0.00229128784747792[/C][C]187.885603493189[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 24 )[/C][C]0.430263157894737[/C][C]0.00221487413644511[/C][C]194.260771217145[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 24 )[/C][C]0.43[/C][C]0.00210818510677892[/C][C]203.966909080860[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 24 )[/C][C]0.429705882352941[/C][C]0.00195699276910591[/C][C]219.574588693683[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 24 )[/C][C]0.4296875[/C][C]0.00187751846990615[/C][C]228.859266573010[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 24 )[/C][C]0.429666666666667[/C][C]0.00176057287785469[/C][C]244.049350112804[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 24 )[/C][C]0.429642857142857[/C][C]0.00181718303838973[/C][C]236.433451152823[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 24 )[/C][C]0.429615384615385[/C][C]0.00187950641890317[/C][C]228.578833407813[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 24 )[/C][C]0.429583333333333[/C][C]0.00194853778944834[/C][C]220.464460920183[/C][/ROW]
[ROW][C]Median[/C][C]0.43[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]0.44[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]0.427540983606558[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]0.427540983606558[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]0.427540983606558[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]0.427540983606558[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]0.427540983606558[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]0.427540983606558[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]0.427540983606558[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]0.427540983606558[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]72[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74509&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74509&T=1

As an alternative you can also use a QR Code:  

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

Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean0.4340277777777780.00263641676479212164.627908445272
Geometric Mean0.433466590375173
Harmonic Mean0.432913321464613
Quadratic Mean0.434595917043765
Winsorized Mean ( 1 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 2 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 3 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 4 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 5 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 6 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 7 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 8 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 9 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 10 / 24 )0.4340277777777780.00263641676479212164.627908445272
Winsorized Mean ( 11 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 12 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 13 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 14 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 15 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 16 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 17 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 18 / 24 )0.43250.00236323893810174183.011541079042
Winsorized Mean ( 19 / 24 )0.4298611111111110.00195301876558590220.100860619306
Winsorized Mean ( 20 / 24 )0.4298611111111110.00195301876558590220.100860619306
Winsorized Mean ( 21 / 24 )0.4298611111111110.00116167704907013370.034952016306
Winsorized Mean ( 22 / 24 )0.4298611111111110.00116167704907013370.034952016306
Winsorized Mean ( 23 / 24 )0.4298611111111110.00116167704907013370.034952016306
Winsorized Mean ( 24 / 24 )0.4298611111111110.00116167704907013370.034952016306
Trimmed Mean ( 1 / 24 )0.4338571428571430.00263981975310754164.351047963186
Trimmed Mean ( 2 / 24 )0.4336764705882350.00264113814497106164.200600946978
Trimmed Mean ( 3 / 24 )0.4334848484848480.00263995147446418164.201824419076
Trimmed Mean ( 4 / 24 )0.433281250.00263574602685164.386570476146
Trimmed Mean ( 5 / 24 )0.4330645161290320.00262788920526867164.795576335859
Trimmed Mean ( 6 / 24 )0.4328333333333330.00261559498007847165.481787750009
Trimmed Mean ( 7 / 24 )0.4325862068965520.00259787647503250166.515310121179
Trimmed Mean ( 8 / 24 )0.4323214285714290.00257347952119521167.991011784171
Trimmed Mean ( 9 / 24 )0.4320370370370370.00254078719196057170.040623002220
Trimmed Mean ( 10 / 24 )0.4317307692307690.00249767846728803172.852821083708
Trimmed Mean ( 11 / 24 )0.43140.00244131112314674176.708325255957
Trimmed Mean ( 12 / 24 )0.431250.00243032335939185177.445523178411
Trimmed Mean ( 13 / 24 )0.4310869565217390.00241229261068626178.704256113897
Trimmed Mean ( 14 / 24 )0.4309090909090910.00238516782683644180.661958483913
Trimmed Mean ( 15 / 24 )0.4307142857142860.00234614511075157183.583821708415
Trimmed Mean ( 16 / 24 )0.43050.00229128784747792187.885603493189
Trimmed Mean ( 17 / 24 )0.4302631578947370.00221487413644511194.260771217145
Trimmed Mean ( 18 / 24 )0.430.00210818510677892203.966909080860
Trimmed Mean ( 19 / 24 )0.4297058823529410.00195699276910591219.574588693683
Trimmed Mean ( 20 / 24 )0.42968750.00187751846990615228.859266573010
Trimmed Mean ( 21 / 24 )0.4296666666666670.00176057287785469244.049350112804
Trimmed Mean ( 22 / 24 )0.4296428571428570.00181718303838973236.433451152823
Trimmed Mean ( 23 / 24 )0.4296153846153850.00187950641890317228.578833407813
Trimmed Mean ( 24 / 24 )0.4295833333333330.00194853778944834220.464460920183
Median0.43
Midrange0.44
Midmean - Weighted Average at Xnp0.427540983606558
Midmean - Weighted Average at X(n+1)p0.427540983606558
Midmean - Empirical Distribution Function0.427540983606558
Midmean - Empirical Distribution Function - Averaging0.427540983606558
Midmean - Empirical Distribution Function - Interpolation0.427540983606558
Midmean - Closest Observation0.427540983606558
Midmean - True Basic - Statistics Graphics Toolkit0.427540983606558
Midmean - MS Excel (old versions)0.427540983606558
Number of observations72



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')