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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationTue, 16 Oct 2007 12:47:43 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Oct/16/65j6rn4qcb0129l1192563896.htm/, Retrieved Mon, 06 May 2024 11:23:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=835, Retrieved Mon, 06 May 2024 11:23:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact300

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [test] [2007-10-16 19:47:43] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
72,50
59,40
85,70
88,20
62,80
87,00
79,20
112,00
79,20
132,10
40,10
69,00
59,40
73,80
57,40
81,10
46,60
41,40
71,20
67,90
72,00
145,50
39,70
51,90
73,70
70,90
60,80
61,00
54,50
39,10
66,60
58,50
59,80
80,90
37,30
44,60
48,70
54,00
49,50
61,60
35,00
35,70
51,30
49,00
41,50
72,50
42,10
44,10
45,10
50,30
40,90
47,20
36,90
40,90
38,30
46,30
28,40
78,40
36,80
50,70
42,80

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=835&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=835&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=835&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean59.84918032786892.8716977927431720.8410440956248
Geometric Mean56.4524800704516
Harmonic Mean53.5884811561598
Quadratic Mean63.8492230077119
Winsorized Mean ( 1 / 20 )59.73770491803282.7507834591232221.7166148501829
Winsorized Mean ( 2 / 20 )59.10163934426232.4844681367291323.7884473020738
Winsorized Mean ( 3 / 20 )57.98524590163932.1239099886065327.3011785869903
Winsorized Mean ( 4 / 20 )57.91311475409842.1044260869047027.5196715695918
Winsorized Mean ( 5 / 20 )57.83934426229512.0747931343173827.8771619712944
Winsorized Mean ( 6 / 20 )57.48524590163931.9625159998172429.2916062376015
Winsorized Mean ( 7 / 20 )57.55409836065571.9431715579597929.6186397566893
Winsorized Mean ( 8 / 20 )57.40983606557381.8869999680269030.4238670049386
Winsorized Mean ( 9 / 20 )57.46885245901641.8778352566922730.603777543428
Winsorized Mean ( 10 / 20 )57.46885245901641.8327120770288731.3572727431267
Winsorized Mean ( 11 / 20 )56.63934426229511.6829168646018533.655461807791
Winsorized Mean ( 12 / 20 )56.71803278688521.6643620813053334.0779409864964
Winsorized Mean ( 13 / 20 )56.4836065573771.618236543274334.9044191296592
Winsorized Mean ( 14 / 20 )56.62131147540981.5971766667051035.4508756956843
Winsorized Mean ( 15 / 20 )56.67049180327871.5509900667720836.5382686951834
Winsorized Mean ( 16 / 20 )56.80163934426231.4664899765712838.733056653457
Winsorized Mean ( 17 / 20 )56.85737704918031.4328283371728239.6819183248206
Winsorized Mean ( 18 / 20 )56.4442622950821.3215211565311342.7115843103436
Winsorized Mean ( 19 / 20 )56.47540983606561.2146704690135046.4944289638756
Winsorized Mean ( 20 / 20 )56.14754098360661.1347602875275549.4796492270122
Trimmed Mean ( 1 / 20 )58.93050847457632.5244465217177423.343932211516
Trimmed Mean ( 2 / 20 )58.06666666666672.2275647454273926.0673306066018
Trimmed Mean ( 3 / 20 )57.49272727272732.0442624884095028.1239457255112
Trimmed Mean ( 4 / 20 )57.30377358490572.0013275025839928.6328816802441
Trimmed Mean ( 5 / 20 )57.1215686274511.9542579229005429.2292884977385
Trimmed Mean ( 6 / 20 )56.94285714285711.9041196833989929.9050829836547
Trimmed Mean ( 7 / 20 )56.82553191489361.8743866541316730.3168675415151
Trimmed Mean ( 8 / 20 )56.68444444444441.8396776055821230.8121620181967
Trimmed Mean ( 9 / 20 )56.55581395348841.8082201325896031.2770624185526
Trimmed Mean ( 10 / 20 )56.40487804878051.7669939722022131.9213754750295
Trimmed Mean ( 11 / 20 )56.23846153846151.7221374197896932.6561985659249
Trimmed Mean ( 12 / 20 )56.17837837837841.7004333272808933.0376836757319
Trimmed Mean ( 13 / 20 )56.11.6717675444538033.5572969974896
Trimmed Mean ( 14 / 20 )56.04545454545451.6409767676801934.1537160362634
Trimmed Mean ( 15 / 20 )55.96451612903231.5991163446083234.9971509688621
Trimmed Mean ( 16 / 20 )55.86551724137931.5486548736839236.0735746812892
Trimmed Mean ( 17 / 20 )55.73333333333331.4971007118128537.2275110776251
Trimmed Mean ( 18 / 20 )55.5721.4252312093130738.9915682710768
Trimmed Mean ( 19 / 20 )55.44347826086961.3545535280504840.9311829416336
Trimmed Mean ( 20 / 20 )55.28571428571431.2809275975651743.16068635792
Median54.5
Midrange86.95
Midmean - Weighted Average at Xnp55.43
Midmean - Weighted Average at X(n+1)p55.9645161290323
Midmean - Empirical Distribution Function55.9645161290323
Midmean - Empirical Distribution Function - Averaging55.9645161290323
Midmean - Empirical Distribution Function - Interpolation55.9645161290323
Midmean - Closest Observation55.53125
Midmean - True Basic - Statistics Graphics Toolkit55.9645161290323
Midmean - MS Excel (old versions)55.9645161290323
Number of observations61

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 59.8491803278689 & 2.87169779274317 & 20.8410440956248 \tabularnewline
Geometric Mean & 56.4524800704516 &  &  \tabularnewline
Harmonic Mean & 53.5884811561598 &  &  \tabularnewline
Quadratic Mean & 63.8492230077119 &  &  \tabularnewline
Winsorized Mean ( 1 / 20 ) & 59.7377049180328 & 2.75078345912322 & 21.7166148501829 \tabularnewline
Winsorized Mean ( 2 / 20 ) & 59.1016393442623 & 2.48446813672913 & 23.7884473020738 \tabularnewline
Winsorized Mean ( 3 / 20 ) & 57.9852459016393 & 2.12390998860653 & 27.3011785869903 \tabularnewline
Winsorized Mean ( 4 / 20 ) & 57.9131147540984 & 2.10442608690470 & 27.5196715695918 \tabularnewline
Winsorized Mean ( 5 / 20 ) & 57.8393442622951 & 2.07479313431738 & 27.8771619712944 \tabularnewline
Winsorized Mean ( 6 / 20 ) & 57.4852459016393 & 1.96251599981724 & 29.2916062376015 \tabularnewline
Winsorized Mean ( 7 / 20 ) & 57.5540983606557 & 1.94317155795979 & 29.6186397566893 \tabularnewline
Winsorized Mean ( 8 / 20 ) & 57.4098360655738 & 1.88699996802690 & 30.4238670049386 \tabularnewline
Winsorized Mean ( 9 / 20 ) & 57.4688524590164 & 1.87783525669227 & 30.603777543428 \tabularnewline
Winsorized Mean ( 10 / 20 ) & 57.4688524590164 & 1.83271207702887 & 31.3572727431267 \tabularnewline
Winsorized Mean ( 11 / 20 ) & 56.6393442622951 & 1.68291686460185 & 33.655461807791 \tabularnewline
Winsorized Mean ( 12 / 20 ) & 56.7180327868852 & 1.66436208130533 & 34.0779409864964 \tabularnewline
Winsorized Mean ( 13 / 20 ) & 56.483606557377 & 1.6182365432743 & 34.9044191296592 \tabularnewline
Winsorized Mean ( 14 / 20 ) & 56.6213114754098 & 1.59717666670510 & 35.4508756956843 \tabularnewline
Winsorized Mean ( 15 / 20 ) & 56.6704918032787 & 1.55099006677208 & 36.5382686951834 \tabularnewline
Winsorized Mean ( 16 / 20 ) & 56.8016393442623 & 1.46648997657128 & 38.733056653457 \tabularnewline
Winsorized Mean ( 17 / 20 ) & 56.8573770491803 & 1.43282833717282 & 39.6819183248206 \tabularnewline
Winsorized Mean ( 18 / 20 ) & 56.444262295082 & 1.32152115653113 & 42.7115843103436 \tabularnewline
Winsorized Mean ( 19 / 20 ) & 56.4754098360656 & 1.21467046901350 & 46.4944289638756 \tabularnewline
Winsorized Mean ( 20 / 20 ) & 56.1475409836066 & 1.13476028752755 & 49.4796492270122 \tabularnewline
Trimmed Mean ( 1 / 20 ) & 58.9305084745763 & 2.52444652171774 & 23.343932211516 \tabularnewline
Trimmed Mean ( 2 / 20 ) & 58.0666666666667 & 2.22756474542739 & 26.0673306066018 \tabularnewline
Trimmed Mean ( 3 / 20 ) & 57.4927272727273 & 2.04426248840950 & 28.1239457255112 \tabularnewline
Trimmed Mean ( 4 / 20 ) & 57.3037735849057 & 2.00132750258399 & 28.6328816802441 \tabularnewline
Trimmed Mean ( 5 / 20 ) & 57.121568627451 & 1.95425792290054 & 29.2292884977385 \tabularnewline
Trimmed Mean ( 6 / 20 ) & 56.9428571428571 & 1.90411968339899 & 29.9050829836547 \tabularnewline
Trimmed Mean ( 7 / 20 ) & 56.8255319148936 & 1.87438665413167 & 30.3168675415151 \tabularnewline
Trimmed Mean ( 8 / 20 ) & 56.6844444444444 & 1.83967760558212 & 30.8121620181967 \tabularnewline
Trimmed Mean ( 9 / 20 ) & 56.5558139534884 & 1.80822013258960 & 31.2770624185526 \tabularnewline
Trimmed Mean ( 10 / 20 ) & 56.4048780487805 & 1.76699397220221 & 31.9213754750295 \tabularnewline
Trimmed Mean ( 11 / 20 ) & 56.2384615384615 & 1.72213741978969 & 32.6561985659249 \tabularnewline
Trimmed Mean ( 12 / 20 ) & 56.1783783783784 & 1.70043332728089 & 33.0376836757319 \tabularnewline
Trimmed Mean ( 13 / 20 ) & 56.1 & 1.67176754445380 & 33.5572969974896 \tabularnewline
Trimmed Mean ( 14 / 20 ) & 56.0454545454545 & 1.64097676768019 & 34.1537160362634 \tabularnewline
Trimmed Mean ( 15 / 20 ) & 55.9645161290323 & 1.59911634460832 & 34.9971509688621 \tabularnewline
Trimmed Mean ( 16 / 20 ) & 55.8655172413793 & 1.54865487368392 & 36.0735746812892 \tabularnewline
Trimmed Mean ( 17 / 20 ) & 55.7333333333333 & 1.49710071181285 & 37.2275110776251 \tabularnewline
Trimmed Mean ( 18 / 20 ) & 55.572 & 1.42523120931307 & 38.9915682710768 \tabularnewline
Trimmed Mean ( 19 / 20 ) & 55.4434782608696 & 1.35455352805048 & 40.9311829416336 \tabularnewline
Trimmed Mean ( 20 / 20 ) & 55.2857142857143 & 1.28092759756517 & 43.16068635792 \tabularnewline
Median & 54.5 &  &  \tabularnewline
Midrange & 86.95 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 55.43 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 55.9645161290323 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 55.9645161290323 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 55.9645161290323 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 55.9645161290323 &  &  \tabularnewline
Midmean - Closest Observation & 55.53125 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 55.9645161290323 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 55.9645161290323 &  &  \tabularnewline
Number of observations & 61 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=835&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]59.8491803278689[/C][C]2.87169779274317[/C][C]20.8410440956248[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]56.4524800704516[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]53.5884811561598[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]63.8492230077119[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 20 )[/C][C]59.7377049180328[/C][C]2.75078345912322[/C][C]21.7166148501829[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 20 )[/C][C]59.1016393442623[/C][C]2.48446813672913[/C][C]23.7884473020738[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 20 )[/C][C]57.9852459016393[/C][C]2.12390998860653[/C][C]27.3011785869903[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 20 )[/C][C]57.9131147540984[/C][C]2.10442608690470[/C][C]27.5196715695918[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 20 )[/C][C]57.8393442622951[/C][C]2.07479313431738[/C][C]27.8771619712944[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 20 )[/C][C]57.4852459016393[/C][C]1.96251599981724[/C][C]29.2916062376015[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 20 )[/C][C]57.5540983606557[/C][C]1.94317155795979[/C][C]29.6186397566893[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 20 )[/C][C]57.4098360655738[/C][C]1.88699996802690[/C][C]30.4238670049386[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 20 )[/C][C]57.4688524590164[/C][C]1.87783525669227[/C][C]30.603777543428[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 20 )[/C][C]57.4688524590164[/C][C]1.83271207702887[/C][C]31.3572727431267[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 20 )[/C][C]56.6393442622951[/C][C]1.68291686460185[/C][C]33.655461807791[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 20 )[/C][C]56.7180327868852[/C][C]1.66436208130533[/C][C]34.0779409864964[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 20 )[/C][C]56.483606557377[/C][C]1.6182365432743[/C][C]34.9044191296592[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 20 )[/C][C]56.6213114754098[/C][C]1.59717666670510[/C][C]35.4508756956843[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 20 )[/C][C]56.6704918032787[/C][C]1.55099006677208[/C][C]36.5382686951834[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 20 )[/C][C]56.8016393442623[/C][C]1.46648997657128[/C][C]38.733056653457[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 20 )[/C][C]56.8573770491803[/C][C]1.43282833717282[/C][C]39.6819183248206[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 20 )[/C][C]56.444262295082[/C][C]1.32152115653113[/C][C]42.7115843103436[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 20 )[/C][C]56.4754098360656[/C][C]1.21467046901350[/C][C]46.4944289638756[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 20 )[/C][C]56.1475409836066[/C][C]1.13476028752755[/C][C]49.4796492270122[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 20 )[/C][C]58.9305084745763[/C][C]2.52444652171774[/C][C]23.343932211516[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 20 )[/C][C]58.0666666666667[/C][C]2.22756474542739[/C][C]26.0673306066018[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 20 )[/C][C]57.4927272727273[/C][C]2.04426248840950[/C][C]28.1239457255112[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 20 )[/C][C]57.3037735849057[/C][C]2.00132750258399[/C][C]28.6328816802441[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 20 )[/C][C]57.121568627451[/C][C]1.95425792290054[/C][C]29.2292884977385[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 20 )[/C][C]56.9428571428571[/C][C]1.90411968339899[/C][C]29.9050829836547[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 20 )[/C][C]56.8255319148936[/C][C]1.87438665413167[/C][C]30.3168675415151[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 20 )[/C][C]56.6844444444444[/C][C]1.83967760558212[/C][C]30.8121620181967[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 20 )[/C][C]56.5558139534884[/C][C]1.80822013258960[/C][C]31.2770624185526[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 20 )[/C][C]56.4048780487805[/C][C]1.76699397220221[/C][C]31.9213754750295[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 20 )[/C][C]56.2384615384615[/C][C]1.72213741978969[/C][C]32.6561985659249[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 20 )[/C][C]56.1783783783784[/C][C]1.70043332728089[/C][C]33.0376836757319[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 20 )[/C][C]56.1[/C][C]1.67176754445380[/C][C]33.5572969974896[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 20 )[/C][C]56.0454545454545[/C][C]1.64097676768019[/C][C]34.1537160362634[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 20 )[/C][C]55.9645161290323[/C][C]1.59911634460832[/C][C]34.9971509688621[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 20 )[/C][C]55.8655172413793[/C][C]1.54865487368392[/C][C]36.0735746812892[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 20 )[/C][C]55.7333333333333[/C][C]1.49710071181285[/C][C]37.2275110776251[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 20 )[/C][C]55.572[/C][C]1.42523120931307[/C][C]38.9915682710768[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 20 )[/C][C]55.4434782608696[/C][C]1.35455352805048[/C][C]40.9311829416336[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 20 )[/C][C]55.2857142857143[/C][C]1.28092759756517[/C][C]43.16068635792[/C][/ROW]
[ROW][C]Median[/C][C]54.5[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]86.95[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]55.43[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]55.9645161290323[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]55.9645161290323[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]55.9645161290323[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]55.9645161290323[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]55.53125[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]55.9645161290323[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]55.9645161290323[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]61[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=835&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=835&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean59.84918032786892.8716977927431720.8410440956248
Geometric Mean56.4524800704516
Harmonic Mean53.5884811561598
Quadratic Mean63.8492230077119
Winsorized Mean ( 1 / 20 )59.73770491803282.7507834591232221.7166148501829
Winsorized Mean ( 2 / 20 )59.10163934426232.4844681367291323.7884473020738
Winsorized Mean ( 3 / 20 )57.98524590163932.1239099886065327.3011785869903
Winsorized Mean ( 4 / 20 )57.91311475409842.1044260869047027.5196715695918
Winsorized Mean ( 5 / 20 )57.83934426229512.0747931343173827.8771619712944
Winsorized Mean ( 6 / 20 )57.48524590163931.9625159998172429.2916062376015
Winsorized Mean ( 7 / 20 )57.55409836065571.9431715579597929.6186397566893
Winsorized Mean ( 8 / 20 )57.40983606557381.8869999680269030.4238670049386
Winsorized Mean ( 9 / 20 )57.46885245901641.8778352566922730.603777543428
Winsorized Mean ( 10 / 20 )57.46885245901641.8327120770288731.3572727431267
Winsorized Mean ( 11 / 20 )56.63934426229511.6829168646018533.655461807791
Winsorized Mean ( 12 / 20 )56.71803278688521.6643620813053334.0779409864964
Winsorized Mean ( 13 / 20 )56.4836065573771.618236543274334.9044191296592
Winsorized Mean ( 14 / 20 )56.62131147540981.5971766667051035.4508756956843
Winsorized Mean ( 15 / 20 )56.67049180327871.5509900667720836.5382686951834
Winsorized Mean ( 16 / 20 )56.80163934426231.4664899765712838.733056653457
Winsorized Mean ( 17 / 20 )56.85737704918031.4328283371728239.6819183248206
Winsorized Mean ( 18 / 20 )56.4442622950821.3215211565311342.7115843103436
Winsorized Mean ( 19 / 20 )56.47540983606561.2146704690135046.4944289638756
Winsorized Mean ( 20 / 20 )56.14754098360661.1347602875275549.4796492270122
Trimmed Mean ( 1 / 20 )58.93050847457632.5244465217177423.343932211516
Trimmed Mean ( 2 / 20 )58.06666666666672.2275647454273926.0673306066018
Trimmed Mean ( 3 / 20 )57.49272727272732.0442624884095028.1239457255112
Trimmed Mean ( 4 / 20 )57.30377358490572.0013275025839928.6328816802441
Trimmed Mean ( 5 / 20 )57.1215686274511.9542579229005429.2292884977385
Trimmed Mean ( 6 / 20 )56.94285714285711.9041196833989929.9050829836547
Trimmed Mean ( 7 / 20 )56.82553191489361.8743866541316730.3168675415151
Trimmed Mean ( 8 / 20 )56.68444444444441.8396776055821230.8121620181967
Trimmed Mean ( 9 / 20 )56.55581395348841.8082201325896031.2770624185526
Trimmed Mean ( 10 / 20 )56.40487804878051.7669939722022131.9213754750295
Trimmed Mean ( 11 / 20 )56.23846153846151.7221374197896932.6561985659249
Trimmed Mean ( 12 / 20 )56.17837837837841.7004333272808933.0376836757319
Trimmed Mean ( 13 / 20 )56.11.6717675444538033.5572969974896
Trimmed Mean ( 14 / 20 )56.04545454545451.6409767676801934.1537160362634
Trimmed Mean ( 15 / 20 )55.96451612903231.5991163446083234.9971509688621
Trimmed Mean ( 16 / 20 )55.86551724137931.5486548736839236.0735746812892
Trimmed Mean ( 17 / 20 )55.73333333333331.4971007118128537.2275110776251
Trimmed Mean ( 18 / 20 )55.5721.4252312093130738.9915682710768
Trimmed Mean ( 19 / 20 )55.44347826086961.3545535280504840.9311829416336
Trimmed Mean ( 20 / 20 )55.28571428571431.2809275975651743.16068635792
Median54.5
Midrange86.95
Midmean - Weighted Average at Xnp55.43
Midmean - Weighted Average at X(n+1)p55.9645161290323
Midmean - Empirical Distribution Function55.9645161290323
Midmean - Empirical Distribution Function - Averaging55.9645161290323
Midmean - Empirical Distribution Function - Interpolation55.9645161290323
Midmean - Closest Observation55.53125
Midmean - True Basic - Statistics Graphics Toolkit55.9645161290323
Midmean - MS Excel (old versions)55.9645161290323
Number of observations61


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
par1 = ; par2 = ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
R code (references can be found in the software module):