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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationFri, 20 Dec 2013 11:24:10 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/20/t13875567147320oa0z96cuky4.htm/, Retrieved Fri, 29 Mar 2024 06:57:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232471, Retrieved Fri, 29 Mar 2024 06:57:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact165
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [] [2013-12-20 16:24:10] [9e6a405f514733ea23d87e4507d39d29] [Current]
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Dataseries X:
0.0559998852152633
-0.493896873364634
-0.493896873364634
-0.987774567512833
9.93823000176787
-0.586194140197587
-7.68751056589317
-3.33966294852904
0.429813645031793
-1.22306236050721
-0.387148988105899
1.0240939117167
-3.1790261312384
-5.0454536432582
-4.0137177585503
1.44819243280776
0.841409399737355
2.17969801643555
-1.73266657002515
-8.06571228807107
8.60981291854194
-0.334926871345123
4.75053530730328
3.61827550903922
4.19213041938715
-3.79054822946422
9.70309656335496
-1.30481000432226
-0.239045671970004
-4.18403094181251
-3.35133824921843
2.80361259428111
2.26146839403967
2.49924097981172
-2.60790853259369
1.07120014090196
-6.63714848357267
1.14652131023368
-1.23746151713059
1.54755663980393
11.5631756773691
3.24139827235349
-0.701479351284132
10.2563339658872
-2.94489100586251
-5.78748839028522
6.79431478166191
5.9550320151792
7.99483304039295
-7.04636839223017
-5.51175848427593
-3.38566124618367
3.18364393412584
0.906160332366917
7.17349376234177
7.47708219897042
-5.86046612170084
-4.08054017321996
3.19332756653989
0.319595007657352
1.37314374171947
0.459430792130583
-4.31529513951182
9.8377414934571
2.65447899718868
5.51664743247295
3.89578300556218
0.110260870088769
0.905004879136158
-2.69130528473603
9.15761451252449
-4.67587915706826
2.02828775800485
-6.08812584767335
-0.848867752979329
3.22884771065786
-4.76216620747938
10.0643639249429
-1.80365481397992
-4.041705411162
4.53647207420368
1.27722948511292
2.71494904872247
-2.98625229115164
-7.91791855375443
-0.87819280547091
8.48347072627108
-6.28135915023324
-3.67782642483031
3.79098609354026
-9.35494494875011
5.42924781064487
-6.35112635227124
1.64151446618105
8.41860163489749
-6.11616812572276
-3.89690540156151
5.94210917809354
6.57477404609063
2.53897589056262
-4.46837465429453
-5.48322577209247
2.92641420148313
-1.06268550612349
-2.78613020257466
1.99145230799011
5.06497199204414
6.04930091019776
-1.6778355872977
-4.50123046727257
4.39563205247514
0.351093295039824
-0.078743595656535
2.63210831940019
-1.96551715036875
2.80719539904876
2.53659023294771
-10.4791047436627
1.80942984068822
-1.36718444180429




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'George Udny Yule' @ yule.wessa.net

\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 & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232471&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232471&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232471&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 time5 seconds
R Server'George Udny Yule' @ yule.wessa.net







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean0.4210340131933710.4378201992378190.961659635453847
Geometric MeanNaN
Harmonic Mean10.8561162570891
Quadratic Mean4.79457676303991
Winsorized Mean ( 1 / 40 )0.4195116638886270.4337500046016550.967173854612165
Winsorized Mean ( 2 / 40 )0.4377993742175390.4293197005840681.01975141979726
Winsorized Mean ( 3 / 40 )0.438340869496080.4281180887575011.0238784134729
Winsorized Mean ( 4 / 40 )0.4426715188144290.4262501683577291.03852514714532
Winsorized Mean ( 5 / 40 )0.4637755706294650.4210695970584051.10142260060903
Winsorized Mean ( 6 / 40 )0.4569624635208160.4131304838445991.10609718089141
Winsorized Mean ( 7 / 40 )0.4416919948644180.4052159648066161.09001627089202
Winsorized Mean ( 8 / 40 )0.4379203288488940.4031429665788091.08626558107962
Winsorized Mean ( 9 / 40 )0.4454444738341610.4006078437325481.11192149830083
Winsorized Mean ( 10 / 40 )0.4124672807962330.3944793151882841.04559926190138
Winsorized Mean ( 11 / 40 )0.3858755952133150.3840915217715831.00464491752774
Winsorized Mean ( 12 / 40 )0.3628145246920120.3784434759632890.958702019551279
Winsorized Mean ( 13 / 40 )0.35160754160270.3682783035943730.954733249748987
Winsorized Mean ( 14 / 40 )0.3293232722074540.3641034840088290.904477124419575
Winsorized Mean ( 15 / 40 )0.3183606463251290.3475936943447940.91589879651077
Winsorized Mean ( 16 / 40 )0.3435631184264970.3410281896852471.00743319414031
Winsorized Mean ( 17 / 40 )0.3539563819809370.3392444179478861.04336685662227
Winsorized Mean ( 18 / 40 )0.3163344236072020.327311931713580.966461631725716
Winsorized Mean ( 19 / 40 )0.3076983205392790.3248282607876050.947264624676463
Winsorized Mean ( 20 / 40 )0.2724989365696090.3137638855776260.868484070650613
Winsorized Mean ( 21 / 40 )0.2404437513373380.3039844031448640.790973973828371
Winsorized Mean ( 22 / 40 )0.2201721328443790.2968240690332210.741759701500947
Winsorized Mean ( 23 / 40 )0.2006211247408510.2926421650729930.685550985760411
Winsorized Mean ( 24 / 40 )0.1655183286455930.2871085977399390.576500773395572
Winsorized Mean ( 25 / 40 )0.1281151918047220.2769652596762750.462567731254335
Winsorized Mean ( 26 / 40 )0.1284532481543860.2715762929074020.472991389562063
Winsorized Mean ( 27 / 40 )0.1149557726842820.2641401889420080.435207429602921
Winsorized Mean ( 28 / 40 )0.09518962580849390.246352059228530.386396712520234
Winsorized Mean ( 29 / 40 )0.1004512976653160.2450432231901730.409932975732033
Winsorized Mean ( 30 / 40 )0.09449008680817130.2437469869266780.387656430135053
Winsorized Mean ( 31 / 40 )0.1334863262346240.2386013906407890.559453261676859
Winsorized Mean ( 32 / 40 )0.1162980882197040.2253472780821910.516083838284863
Winsorized Mean ( 33 / 40 )0.09488727100476260.220619209844120.43009523545935
Winsorized Mean ( 34 / 40 )0.1388543705854860.2153422276035540.644807904751117
Winsorized Mean ( 35 / 40 )0.1406514375004830.2095131696254740.67132504248736
Winsorized Mean ( 36 / 40 )0.1475294476830480.2048082986989160.720329442802156
Winsorized Mean ( 37 / 40 )0.338702498217620.1823365022098771.85756825491672
Winsorized Mean ( 38 / 40 )0.3604669689421860.1738208499438442.07378441112583
Winsorized Mean ( 39 / 40 )0.382762809502640.1713352293433382.23399945807773
Winsorized Mean ( 40 / 40 )0.3885900526997940.1681289047021392.31126261952535
Trimmed Mean ( 1 / 40 )0.4189831410974420.4250523194244810.985721338174893
Trimmed Mean ( 2 / 40 )0.4184363933824230.4154096608165211.00728613908485
Trimmed Mean ( 3 / 40 )0.4082453508376250.4072948241767961.00233375580638
Trimmed Mean ( 4 / 40 )0.3974969513167480.398761807935670.996828039712555
Trimmed Mean ( 5 / 40 )0.3851766147264710.3898548987148060.98799993535093
Trimmed Mean ( 6 / 40 )0.3677101800813620.3813129967244390.964326375549933
Trimmed Mean ( 7 / 40 )0.3508701266022190.3736463764961610.939043300493037
Trimmed Mean ( 8 / 40 )0.3358994889765820.3667377161664120.915912037866766
Trimmed Mean ( 9 / 40 )0.3208964242894780.3593784785651470.892920537620081
Trimmed Mean ( 10 / 40 )0.304290017683520.3515473551191370.865573338136474
Trimmed Mean ( 11 / 40 )0.291043822200330.3437813156246350.846595812432439
Trimmed Mean ( 12 / 40 )0.2802674843579460.336712185816850.832365136052408
Trimmed Mean ( 13 / 40 )0.2714858843224070.3295899502082470.823708017040181
Trimmed Mean ( 14 / 40 )0.2634469220534810.323036580814240.815532783901569
Trimmed Mean ( 15 / 40 )0.2571729839435790.3161842570180810.813364290711263
Trimmed Mean ( 16 / 40 )0.251610469181620.3107088757785130.809794919926842
Trimmed Mean ( 17 / 40 )0.2435913427939850.3053194101906960.797824621244496
Trimmed Mean ( 18 / 40 )0.2343169697530650.299348177199360.782757296019925
Trimmed Mean ( 19 / 40 )0.2276488840738670.2940809707361690.774102736072981
Trimmed Mean ( 20 / 40 )0.2213291917213340.2883035613631020.767694962472498
Trimmed Mean ( 21 / 40 )0.2173930575022360.2830747517970550.767970495857191
Trimmed Mean ( 22 / 40 )0.2156599226274160.2782610595384880.775027317818384
Trimmed Mean ( 23 / 40 )0.2153273272797290.2735467058965510.78716841635505
Trimmed Mean ( 24 / 40 )0.2163929941303720.2685316315080910.805838004689038
Trimmed Mean ( 25 / 40 )0.2200268988078560.2633284209790960.835560772322871
Trimmed Mean ( 26 / 40 )0.2265147840080770.2585067174827850.8762433186022
Trimmed Mean ( 27 / 40 )0.2333722340677760.2534667048557520.920721458073116
Trimmed Mean ( 28 / 40 )0.241595599441630.2484342168189980.972473126025348
Trimmed Mean ( 29 / 40 )0.2517158280337820.2448254042776271.02814423518052
Trimmed Mean ( 30 / 40 )0.2621478646109180.24054978542871.08978631655699
Trimmed Mean ( 31 / 40 )0.2737104699766240.2354454503077911.16252180544925
Trimmed Mean ( 32 / 40 )0.2834033831385140.2299578528906461.23241446019799
Trimmed Mean ( 33 / 40 )0.2950079175078750.2252329061733321.30979048541356
Trimmed Mean ( 34 / 40 )0.3090023683122890.2200118691202171.40448044711373
Trimmed Mean ( 35 / 40 )0.3210128152106520.2143433368810511.49765707617399
Trimmed Mean ( 36 / 40 )0.3338957707613780.2081533487588321.60408551076558
Trimmed Mean ( 37 / 40 )0.3474005767815470.2010838334418481.72764051110063
Trimmed Mean ( 38 / 40 )0.348041712793630.1966021483230741.77028438276115
Trimmed Mean ( 39 / 40 )0.3471074830080240.1923331932889711.80471959661436
Trimmed Mean ( 40 / 40 )0.3443647655853610.1870498474023081.84103205839403
Median0.335344151348588
Midrange0.5420354668532
Midmean - Weighted Average at Xnp0.202910387335027
Midmean - Weighted Average at X(n+1)p0.262147864610918
Midmean - Empirical Distribution Function0.202910387335027
Midmean - Empirical Distribution Function - Averaging0.262147864610918
Midmean - Empirical Distribution Function - Interpolation0.262147864610918
Midmean - Closest Observation0.202910387335027
Midmean - True Basic - Statistics Graphics Toolkit0.262147864610918
Midmean - MS Excel (old versions)0.251715828033782
Number of observations120

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 0.421034013193371 & 0.437820199237819 & 0.961659635453847 \tabularnewline
Geometric Mean & NaN &  &  \tabularnewline
Harmonic Mean & 10.8561162570891 &  &  \tabularnewline
Quadratic Mean & 4.79457676303991 &  &  \tabularnewline
Winsorized Mean ( 1 / 40 ) & 0.419511663888627 & 0.433750004601655 & 0.967173854612165 \tabularnewline
Winsorized Mean ( 2 / 40 ) & 0.437799374217539 & 0.429319700584068 & 1.01975141979726 \tabularnewline
Winsorized Mean ( 3 / 40 ) & 0.43834086949608 & 0.428118088757501 & 1.0238784134729 \tabularnewline
Winsorized Mean ( 4 / 40 ) & 0.442671518814429 & 0.426250168357729 & 1.03852514714532 \tabularnewline
Winsorized Mean ( 5 / 40 ) & 0.463775570629465 & 0.421069597058405 & 1.10142260060903 \tabularnewline
Winsorized Mean ( 6 / 40 ) & 0.456962463520816 & 0.413130483844599 & 1.10609718089141 \tabularnewline
Winsorized Mean ( 7 / 40 ) & 0.441691994864418 & 0.405215964806616 & 1.09001627089202 \tabularnewline
Winsorized Mean ( 8 / 40 ) & 0.437920328848894 & 0.403142966578809 & 1.08626558107962 \tabularnewline
Winsorized Mean ( 9 / 40 ) & 0.445444473834161 & 0.400607843732548 & 1.11192149830083 \tabularnewline
Winsorized Mean ( 10 / 40 ) & 0.412467280796233 & 0.394479315188284 & 1.04559926190138 \tabularnewline
Winsorized Mean ( 11 / 40 ) & 0.385875595213315 & 0.384091521771583 & 1.00464491752774 \tabularnewline
Winsorized Mean ( 12 / 40 ) & 0.362814524692012 & 0.378443475963289 & 0.958702019551279 \tabularnewline
Winsorized Mean ( 13 / 40 ) & 0.3516075416027 & 0.368278303594373 & 0.954733249748987 \tabularnewline
Winsorized Mean ( 14 / 40 ) & 0.329323272207454 & 0.364103484008829 & 0.904477124419575 \tabularnewline
Winsorized Mean ( 15 / 40 ) & 0.318360646325129 & 0.347593694344794 & 0.91589879651077 \tabularnewline
Winsorized Mean ( 16 / 40 ) & 0.343563118426497 & 0.341028189685247 & 1.00743319414031 \tabularnewline
Winsorized Mean ( 17 / 40 ) & 0.353956381980937 & 0.339244417947886 & 1.04336685662227 \tabularnewline
Winsorized Mean ( 18 / 40 ) & 0.316334423607202 & 0.32731193171358 & 0.966461631725716 \tabularnewline
Winsorized Mean ( 19 / 40 ) & 0.307698320539279 & 0.324828260787605 & 0.947264624676463 \tabularnewline
Winsorized Mean ( 20 / 40 ) & 0.272498936569609 & 0.313763885577626 & 0.868484070650613 \tabularnewline
Winsorized Mean ( 21 / 40 ) & 0.240443751337338 & 0.303984403144864 & 0.790973973828371 \tabularnewline
Winsorized Mean ( 22 / 40 ) & 0.220172132844379 & 0.296824069033221 & 0.741759701500947 \tabularnewline
Winsorized Mean ( 23 / 40 ) & 0.200621124740851 & 0.292642165072993 & 0.685550985760411 \tabularnewline
Winsorized Mean ( 24 / 40 ) & 0.165518328645593 & 0.287108597739939 & 0.576500773395572 \tabularnewline
Winsorized Mean ( 25 / 40 ) & 0.128115191804722 & 0.276965259676275 & 0.462567731254335 \tabularnewline
Winsorized Mean ( 26 / 40 ) & 0.128453248154386 & 0.271576292907402 & 0.472991389562063 \tabularnewline
Winsorized Mean ( 27 / 40 ) & 0.114955772684282 & 0.264140188942008 & 0.435207429602921 \tabularnewline
Winsorized Mean ( 28 / 40 ) & 0.0951896258084939 & 0.24635205922853 & 0.386396712520234 \tabularnewline
Winsorized Mean ( 29 / 40 ) & 0.100451297665316 & 0.245043223190173 & 0.409932975732033 \tabularnewline
Winsorized Mean ( 30 / 40 ) & 0.0944900868081713 & 0.243746986926678 & 0.387656430135053 \tabularnewline
Winsorized Mean ( 31 / 40 ) & 0.133486326234624 & 0.238601390640789 & 0.559453261676859 \tabularnewline
Winsorized Mean ( 32 / 40 ) & 0.116298088219704 & 0.225347278082191 & 0.516083838284863 \tabularnewline
Winsorized Mean ( 33 / 40 ) & 0.0948872710047626 & 0.22061920984412 & 0.43009523545935 \tabularnewline
Winsorized Mean ( 34 / 40 ) & 0.138854370585486 & 0.215342227603554 & 0.644807904751117 \tabularnewline
Winsorized Mean ( 35 / 40 ) & 0.140651437500483 & 0.209513169625474 & 0.67132504248736 \tabularnewline
Winsorized Mean ( 36 / 40 ) & 0.147529447683048 & 0.204808298698916 & 0.720329442802156 \tabularnewline
Winsorized Mean ( 37 / 40 ) & 0.33870249821762 & 0.182336502209877 & 1.85756825491672 \tabularnewline
Winsorized Mean ( 38 / 40 ) & 0.360466968942186 & 0.173820849943844 & 2.07378441112583 \tabularnewline
Winsorized Mean ( 39 / 40 ) & 0.38276280950264 & 0.171335229343338 & 2.23399945807773 \tabularnewline
Winsorized Mean ( 40 / 40 ) & 0.388590052699794 & 0.168128904702139 & 2.31126261952535 \tabularnewline
Trimmed Mean ( 1 / 40 ) & 0.418983141097442 & 0.425052319424481 & 0.985721338174893 \tabularnewline
Trimmed Mean ( 2 / 40 ) & 0.418436393382423 & 0.415409660816521 & 1.00728613908485 \tabularnewline
Trimmed Mean ( 3 / 40 ) & 0.408245350837625 & 0.407294824176796 & 1.00233375580638 \tabularnewline
Trimmed Mean ( 4 / 40 ) & 0.397496951316748 & 0.39876180793567 & 0.996828039712555 \tabularnewline
Trimmed Mean ( 5 / 40 ) & 0.385176614726471 & 0.389854898714806 & 0.98799993535093 \tabularnewline
Trimmed Mean ( 6 / 40 ) & 0.367710180081362 & 0.381312996724439 & 0.964326375549933 \tabularnewline
Trimmed Mean ( 7 / 40 ) & 0.350870126602219 & 0.373646376496161 & 0.939043300493037 \tabularnewline
Trimmed Mean ( 8 / 40 ) & 0.335899488976582 & 0.366737716166412 & 0.915912037866766 \tabularnewline
Trimmed Mean ( 9 / 40 ) & 0.320896424289478 & 0.359378478565147 & 0.892920537620081 \tabularnewline
Trimmed Mean ( 10 / 40 ) & 0.30429001768352 & 0.351547355119137 & 0.865573338136474 \tabularnewline
Trimmed Mean ( 11 / 40 ) & 0.29104382220033 & 0.343781315624635 & 0.846595812432439 \tabularnewline
Trimmed Mean ( 12 / 40 ) & 0.280267484357946 & 0.33671218581685 & 0.832365136052408 \tabularnewline
Trimmed Mean ( 13 / 40 ) & 0.271485884322407 & 0.329589950208247 & 0.823708017040181 \tabularnewline
Trimmed Mean ( 14 / 40 ) & 0.263446922053481 & 0.32303658081424 & 0.815532783901569 \tabularnewline
Trimmed Mean ( 15 / 40 ) & 0.257172983943579 & 0.316184257018081 & 0.813364290711263 \tabularnewline
Trimmed Mean ( 16 / 40 ) & 0.25161046918162 & 0.310708875778513 & 0.809794919926842 \tabularnewline
Trimmed Mean ( 17 / 40 ) & 0.243591342793985 & 0.305319410190696 & 0.797824621244496 \tabularnewline
Trimmed Mean ( 18 / 40 ) & 0.234316969753065 & 0.29934817719936 & 0.782757296019925 \tabularnewline
Trimmed Mean ( 19 / 40 ) & 0.227648884073867 & 0.294080970736169 & 0.774102736072981 \tabularnewline
Trimmed Mean ( 20 / 40 ) & 0.221329191721334 & 0.288303561363102 & 0.767694962472498 \tabularnewline
Trimmed Mean ( 21 / 40 ) & 0.217393057502236 & 0.283074751797055 & 0.767970495857191 \tabularnewline
Trimmed Mean ( 22 / 40 ) & 0.215659922627416 & 0.278261059538488 & 0.775027317818384 \tabularnewline
Trimmed Mean ( 23 / 40 ) & 0.215327327279729 & 0.273546705896551 & 0.78716841635505 \tabularnewline
Trimmed Mean ( 24 / 40 ) & 0.216392994130372 & 0.268531631508091 & 0.805838004689038 \tabularnewline
Trimmed Mean ( 25 / 40 ) & 0.220026898807856 & 0.263328420979096 & 0.835560772322871 \tabularnewline
Trimmed Mean ( 26 / 40 ) & 0.226514784008077 & 0.258506717482785 & 0.8762433186022 \tabularnewline
Trimmed Mean ( 27 / 40 ) & 0.233372234067776 & 0.253466704855752 & 0.920721458073116 \tabularnewline
Trimmed Mean ( 28 / 40 ) & 0.24159559944163 & 0.248434216818998 & 0.972473126025348 \tabularnewline
Trimmed Mean ( 29 / 40 ) & 0.251715828033782 & 0.244825404277627 & 1.02814423518052 \tabularnewline
Trimmed Mean ( 30 / 40 ) & 0.262147864610918 & 0.2405497854287 & 1.08978631655699 \tabularnewline
Trimmed Mean ( 31 / 40 ) & 0.273710469976624 & 0.235445450307791 & 1.16252180544925 \tabularnewline
Trimmed Mean ( 32 / 40 ) & 0.283403383138514 & 0.229957852890646 & 1.23241446019799 \tabularnewline
Trimmed Mean ( 33 / 40 ) & 0.295007917507875 & 0.225232906173332 & 1.30979048541356 \tabularnewline
Trimmed Mean ( 34 / 40 ) & 0.309002368312289 & 0.220011869120217 & 1.40448044711373 \tabularnewline
Trimmed Mean ( 35 / 40 ) & 0.321012815210652 & 0.214343336881051 & 1.49765707617399 \tabularnewline
Trimmed Mean ( 36 / 40 ) & 0.333895770761378 & 0.208153348758832 & 1.60408551076558 \tabularnewline
Trimmed Mean ( 37 / 40 ) & 0.347400576781547 & 0.201083833441848 & 1.72764051110063 \tabularnewline
Trimmed Mean ( 38 / 40 ) & 0.34804171279363 & 0.196602148323074 & 1.77028438276115 \tabularnewline
Trimmed Mean ( 39 / 40 ) & 0.347107483008024 & 0.192333193288971 & 1.80471959661436 \tabularnewline
Trimmed Mean ( 40 / 40 ) & 0.344364765585361 & 0.187049847402308 & 1.84103205839403 \tabularnewline
Median & 0.335344151348588 &  &  \tabularnewline
Midrange & 0.5420354668532 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 0.202910387335027 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 0.262147864610918 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 0.202910387335027 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 0.262147864610918 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 0.262147864610918 &  &  \tabularnewline
Midmean - Closest Observation & 0.202910387335027 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 0.262147864610918 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 0.251715828033782 &  &  \tabularnewline
Number of observations & 120 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232471&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]0.421034013193371[/C][C]0.437820199237819[/C][C]0.961659635453847[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]NaN[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]10.8561162570891[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]4.79457676303991[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 40 )[/C][C]0.419511663888627[/C][C]0.433750004601655[/C][C]0.967173854612165[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 40 )[/C][C]0.437799374217539[/C][C]0.429319700584068[/C][C]1.01975141979726[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 40 )[/C][C]0.43834086949608[/C][C]0.428118088757501[/C][C]1.0238784134729[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 40 )[/C][C]0.442671518814429[/C][C]0.426250168357729[/C][C]1.03852514714532[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 40 )[/C][C]0.463775570629465[/C][C]0.421069597058405[/C][C]1.10142260060903[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 40 )[/C][C]0.456962463520816[/C][C]0.413130483844599[/C][C]1.10609718089141[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 40 )[/C][C]0.441691994864418[/C][C]0.405215964806616[/C][C]1.09001627089202[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 40 )[/C][C]0.437920328848894[/C][C]0.403142966578809[/C][C]1.08626558107962[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 40 )[/C][C]0.445444473834161[/C][C]0.400607843732548[/C][C]1.11192149830083[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 40 )[/C][C]0.412467280796233[/C][C]0.394479315188284[/C][C]1.04559926190138[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 40 )[/C][C]0.385875595213315[/C][C]0.384091521771583[/C][C]1.00464491752774[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 40 )[/C][C]0.362814524692012[/C][C]0.378443475963289[/C][C]0.958702019551279[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 40 )[/C][C]0.3516075416027[/C][C]0.368278303594373[/C][C]0.954733249748987[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 40 )[/C][C]0.329323272207454[/C][C]0.364103484008829[/C][C]0.904477124419575[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 40 )[/C][C]0.318360646325129[/C][C]0.347593694344794[/C][C]0.91589879651077[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 40 )[/C][C]0.343563118426497[/C][C]0.341028189685247[/C][C]1.00743319414031[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 40 )[/C][C]0.353956381980937[/C][C]0.339244417947886[/C][C]1.04336685662227[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 40 )[/C][C]0.316334423607202[/C][C]0.32731193171358[/C][C]0.966461631725716[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 40 )[/C][C]0.307698320539279[/C][C]0.324828260787605[/C][C]0.947264624676463[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 40 )[/C][C]0.272498936569609[/C][C]0.313763885577626[/C][C]0.868484070650613[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 40 )[/C][C]0.240443751337338[/C][C]0.303984403144864[/C][C]0.790973973828371[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 40 )[/C][C]0.220172132844379[/C][C]0.296824069033221[/C][C]0.741759701500947[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 40 )[/C][C]0.200621124740851[/C][C]0.292642165072993[/C][C]0.685550985760411[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 40 )[/C][C]0.165518328645593[/C][C]0.287108597739939[/C][C]0.576500773395572[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 40 )[/C][C]0.128115191804722[/C][C]0.276965259676275[/C][C]0.462567731254335[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 40 )[/C][C]0.128453248154386[/C][C]0.271576292907402[/C][C]0.472991389562063[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 40 )[/C][C]0.114955772684282[/C][C]0.264140188942008[/C][C]0.435207429602921[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 40 )[/C][C]0.0951896258084939[/C][C]0.24635205922853[/C][C]0.386396712520234[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 40 )[/C][C]0.100451297665316[/C][C]0.245043223190173[/C][C]0.409932975732033[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 40 )[/C][C]0.0944900868081713[/C][C]0.243746986926678[/C][C]0.387656430135053[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 40 )[/C][C]0.133486326234624[/C][C]0.238601390640789[/C][C]0.559453261676859[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 40 )[/C][C]0.116298088219704[/C][C]0.225347278082191[/C][C]0.516083838284863[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 40 )[/C][C]0.0948872710047626[/C][C]0.22061920984412[/C][C]0.43009523545935[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 40 )[/C][C]0.138854370585486[/C][C]0.215342227603554[/C][C]0.644807904751117[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 40 )[/C][C]0.140651437500483[/C][C]0.209513169625474[/C][C]0.67132504248736[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 40 )[/C][C]0.147529447683048[/C][C]0.204808298698916[/C][C]0.720329442802156[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 40 )[/C][C]0.33870249821762[/C][C]0.182336502209877[/C][C]1.85756825491672[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 40 )[/C][C]0.360466968942186[/C][C]0.173820849943844[/C][C]2.07378441112583[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 40 )[/C][C]0.38276280950264[/C][C]0.171335229343338[/C][C]2.23399945807773[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 40 )[/C][C]0.388590052699794[/C][C]0.168128904702139[/C][C]2.31126261952535[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 40 )[/C][C]0.418983141097442[/C][C]0.425052319424481[/C][C]0.985721338174893[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 40 )[/C][C]0.418436393382423[/C][C]0.415409660816521[/C][C]1.00728613908485[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 40 )[/C][C]0.408245350837625[/C][C]0.407294824176796[/C][C]1.00233375580638[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 40 )[/C][C]0.397496951316748[/C][C]0.39876180793567[/C][C]0.996828039712555[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 40 )[/C][C]0.385176614726471[/C][C]0.389854898714806[/C][C]0.98799993535093[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 40 )[/C][C]0.367710180081362[/C][C]0.381312996724439[/C][C]0.964326375549933[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 40 )[/C][C]0.350870126602219[/C][C]0.373646376496161[/C][C]0.939043300493037[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 40 )[/C][C]0.335899488976582[/C][C]0.366737716166412[/C][C]0.915912037866766[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 40 )[/C][C]0.320896424289478[/C][C]0.359378478565147[/C][C]0.892920537620081[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 40 )[/C][C]0.30429001768352[/C][C]0.351547355119137[/C][C]0.865573338136474[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 40 )[/C][C]0.29104382220033[/C][C]0.343781315624635[/C][C]0.846595812432439[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 40 )[/C][C]0.280267484357946[/C][C]0.33671218581685[/C][C]0.832365136052408[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 40 )[/C][C]0.271485884322407[/C][C]0.329589950208247[/C][C]0.823708017040181[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 40 )[/C][C]0.263446922053481[/C][C]0.32303658081424[/C][C]0.815532783901569[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 40 )[/C][C]0.257172983943579[/C][C]0.316184257018081[/C][C]0.813364290711263[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 40 )[/C][C]0.25161046918162[/C][C]0.310708875778513[/C][C]0.809794919926842[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 40 )[/C][C]0.243591342793985[/C][C]0.305319410190696[/C][C]0.797824621244496[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 40 )[/C][C]0.234316969753065[/C][C]0.29934817719936[/C][C]0.782757296019925[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 40 )[/C][C]0.227648884073867[/C][C]0.294080970736169[/C][C]0.774102736072981[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 40 )[/C][C]0.221329191721334[/C][C]0.288303561363102[/C][C]0.767694962472498[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 40 )[/C][C]0.217393057502236[/C][C]0.283074751797055[/C][C]0.767970495857191[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 40 )[/C][C]0.215659922627416[/C][C]0.278261059538488[/C][C]0.775027317818384[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 40 )[/C][C]0.215327327279729[/C][C]0.273546705896551[/C][C]0.78716841635505[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 40 )[/C][C]0.216392994130372[/C][C]0.268531631508091[/C][C]0.805838004689038[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 40 )[/C][C]0.220026898807856[/C][C]0.263328420979096[/C][C]0.835560772322871[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 40 )[/C][C]0.226514784008077[/C][C]0.258506717482785[/C][C]0.8762433186022[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 40 )[/C][C]0.233372234067776[/C][C]0.253466704855752[/C][C]0.920721458073116[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 40 )[/C][C]0.24159559944163[/C][C]0.248434216818998[/C][C]0.972473126025348[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 40 )[/C][C]0.251715828033782[/C][C]0.244825404277627[/C][C]1.02814423518052[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 40 )[/C][C]0.262147864610918[/C][C]0.2405497854287[/C][C]1.08978631655699[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 40 )[/C][C]0.273710469976624[/C][C]0.235445450307791[/C][C]1.16252180544925[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 40 )[/C][C]0.283403383138514[/C][C]0.229957852890646[/C][C]1.23241446019799[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 40 )[/C][C]0.295007917507875[/C][C]0.225232906173332[/C][C]1.30979048541356[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 40 )[/C][C]0.309002368312289[/C][C]0.220011869120217[/C][C]1.40448044711373[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 40 )[/C][C]0.321012815210652[/C][C]0.214343336881051[/C][C]1.49765707617399[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 40 )[/C][C]0.333895770761378[/C][C]0.208153348758832[/C][C]1.60408551076558[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 40 )[/C][C]0.347400576781547[/C][C]0.201083833441848[/C][C]1.72764051110063[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 40 )[/C][C]0.34804171279363[/C][C]0.196602148323074[/C][C]1.77028438276115[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 40 )[/C][C]0.347107483008024[/C][C]0.192333193288971[/C][C]1.80471959661436[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 40 )[/C][C]0.344364765585361[/C][C]0.187049847402308[/C][C]1.84103205839403[/C][/ROW]
[ROW][C]Median[/C][C]0.335344151348588[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]0.5420354668532[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]0.202910387335027[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]0.262147864610918[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]0.202910387335027[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]0.262147864610918[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]0.262147864610918[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]0.202910387335027[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]0.262147864610918[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]0.251715828033782[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]120[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232471&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232471&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 Mean0.4210340131933710.4378201992378190.961659635453847
Geometric MeanNaN
Harmonic Mean10.8561162570891
Quadratic Mean4.79457676303991
Winsorized Mean ( 1 / 40 )0.4195116638886270.4337500046016550.967173854612165
Winsorized Mean ( 2 / 40 )0.4377993742175390.4293197005840681.01975141979726
Winsorized Mean ( 3 / 40 )0.438340869496080.4281180887575011.0238784134729
Winsorized Mean ( 4 / 40 )0.4426715188144290.4262501683577291.03852514714532
Winsorized Mean ( 5 / 40 )0.4637755706294650.4210695970584051.10142260060903
Winsorized Mean ( 6 / 40 )0.4569624635208160.4131304838445991.10609718089141
Winsorized Mean ( 7 / 40 )0.4416919948644180.4052159648066161.09001627089202
Winsorized Mean ( 8 / 40 )0.4379203288488940.4031429665788091.08626558107962
Winsorized Mean ( 9 / 40 )0.4454444738341610.4006078437325481.11192149830083
Winsorized Mean ( 10 / 40 )0.4124672807962330.3944793151882841.04559926190138
Winsorized Mean ( 11 / 40 )0.3858755952133150.3840915217715831.00464491752774
Winsorized Mean ( 12 / 40 )0.3628145246920120.3784434759632890.958702019551279
Winsorized Mean ( 13 / 40 )0.35160754160270.3682783035943730.954733249748987
Winsorized Mean ( 14 / 40 )0.3293232722074540.3641034840088290.904477124419575
Winsorized Mean ( 15 / 40 )0.3183606463251290.3475936943447940.91589879651077
Winsorized Mean ( 16 / 40 )0.3435631184264970.3410281896852471.00743319414031
Winsorized Mean ( 17 / 40 )0.3539563819809370.3392444179478861.04336685662227
Winsorized Mean ( 18 / 40 )0.3163344236072020.327311931713580.966461631725716
Winsorized Mean ( 19 / 40 )0.3076983205392790.3248282607876050.947264624676463
Winsorized Mean ( 20 / 40 )0.2724989365696090.3137638855776260.868484070650613
Winsorized Mean ( 21 / 40 )0.2404437513373380.3039844031448640.790973973828371
Winsorized Mean ( 22 / 40 )0.2201721328443790.2968240690332210.741759701500947
Winsorized Mean ( 23 / 40 )0.2006211247408510.2926421650729930.685550985760411
Winsorized Mean ( 24 / 40 )0.1655183286455930.2871085977399390.576500773395572
Winsorized Mean ( 25 / 40 )0.1281151918047220.2769652596762750.462567731254335
Winsorized Mean ( 26 / 40 )0.1284532481543860.2715762929074020.472991389562063
Winsorized Mean ( 27 / 40 )0.1149557726842820.2641401889420080.435207429602921
Winsorized Mean ( 28 / 40 )0.09518962580849390.246352059228530.386396712520234
Winsorized Mean ( 29 / 40 )0.1004512976653160.2450432231901730.409932975732033
Winsorized Mean ( 30 / 40 )0.09449008680817130.2437469869266780.387656430135053
Winsorized Mean ( 31 / 40 )0.1334863262346240.2386013906407890.559453261676859
Winsorized Mean ( 32 / 40 )0.1162980882197040.2253472780821910.516083838284863
Winsorized Mean ( 33 / 40 )0.09488727100476260.220619209844120.43009523545935
Winsorized Mean ( 34 / 40 )0.1388543705854860.2153422276035540.644807904751117
Winsorized Mean ( 35 / 40 )0.1406514375004830.2095131696254740.67132504248736
Winsorized Mean ( 36 / 40 )0.1475294476830480.2048082986989160.720329442802156
Winsorized Mean ( 37 / 40 )0.338702498217620.1823365022098771.85756825491672
Winsorized Mean ( 38 / 40 )0.3604669689421860.1738208499438442.07378441112583
Winsorized Mean ( 39 / 40 )0.382762809502640.1713352293433382.23399945807773
Winsorized Mean ( 40 / 40 )0.3885900526997940.1681289047021392.31126261952535
Trimmed Mean ( 1 / 40 )0.4189831410974420.4250523194244810.985721338174893
Trimmed Mean ( 2 / 40 )0.4184363933824230.4154096608165211.00728613908485
Trimmed Mean ( 3 / 40 )0.4082453508376250.4072948241767961.00233375580638
Trimmed Mean ( 4 / 40 )0.3974969513167480.398761807935670.996828039712555
Trimmed Mean ( 5 / 40 )0.3851766147264710.3898548987148060.98799993535093
Trimmed Mean ( 6 / 40 )0.3677101800813620.3813129967244390.964326375549933
Trimmed Mean ( 7 / 40 )0.3508701266022190.3736463764961610.939043300493037
Trimmed Mean ( 8 / 40 )0.3358994889765820.3667377161664120.915912037866766
Trimmed Mean ( 9 / 40 )0.3208964242894780.3593784785651470.892920537620081
Trimmed Mean ( 10 / 40 )0.304290017683520.3515473551191370.865573338136474
Trimmed Mean ( 11 / 40 )0.291043822200330.3437813156246350.846595812432439
Trimmed Mean ( 12 / 40 )0.2802674843579460.336712185816850.832365136052408
Trimmed Mean ( 13 / 40 )0.2714858843224070.3295899502082470.823708017040181
Trimmed Mean ( 14 / 40 )0.2634469220534810.323036580814240.815532783901569
Trimmed Mean ( 15 / 40 )0.2571729839435790.3161842570180810.813364290711263
Trimmed Mean ( 16 / 40 )0.251610469181620.3107088757785130.809794919926842
Trimmed Mean ( 17 / 40 )0.2435913427939850.3053194101906960.797824621244496
Trimmed Mean ( 18 / 40 )0.2343169697530650.299348177199360.782757296019925
Trimmed Mean ( 19 / 40 )0.2276488840738670.2940809707361690.774102736072981
Trimmed Mean ( 20 / 40 )0.2213291917213340.2883035613631020.767694962472498
Trimmed Mean ( 21 / 40 )0.2173930575022360.2830747517970550.767970495857191
Trimmed Mean ( 22 / 40 )0.2156599226274160.2782610595384880.775027317818384
Trimmed Mean ( 23 / 40 )0.2153273272797290.2735467058965510.78716841635505
Trimmed Mean ( 24 / 40 )0.2163929941303720.2685316315080910.805838004689038
Trimmed Mean ( 25 / 40 )0.2200268988078560.2633284209790960.835560772322871
Trimmed Mean ( 26 / 40 )0.2265147840080770.2585067174827850.8762433186022
Trimmed Mean ( 27 / 40 )0.2333722340677760.2534667048557520.920721458073116
Trimmed Mean ( 28 / 40 )0.241595599441630.2484342168189980.972473126025348
Trimmed Mean ( 29 / 40 )0.2517158280337820.2448254042776271.02814423518052
Trimmed Mean ( 30 / 40 )0.2621478646109180.24054978542871.08978631655699
Trimmed Mean ( 31 / 40 )0.2737104699766240.2354454503077911.16252180544925
Trimmed Mean ( 32 / 40 )0.2834033831385140.2299578528906461.23241446019799
Trimmed Mean ( 33 / 40 )0.2950079175078750.2252329061733321.30979048541356
Trimmed Mean ( 34 / 40 )0.3090023683122890.2200118691202171.40448044711373
Trimmed Mean ( 35 / 40 )0.3210128152106520.2143433368810511.49765707617399
Trimmed Mean ( 36 / 40 )0.3338957707613780.2081533487588321.60408551076558
Trimmed Mean ( 37 / 40 )0.3474005767815470.2010838334418481.72764051110063
Trimmed Mean ( 38 / 40 )0.348041712793630.1966021483230741.77028438276115
Trimmed Mean ( 39 / 40 )0.3471074830080240.1923331932889711.80471959661436
Trimmed Mean ( 40 / 40 )0.3443647655853610.1870498474023081.84103205839403
Median0.335344151348588
Midrange0.5420354668532
Midmean - Weighted Average at Xnp0.202910387335027
Midmean - Weighted Average at X(n+1)p0.262147864610918
Midmean - Empirical Distribution Function0.202910387335027
Midmean - Empirical Distribution Function - Averaging0.262147864610918
Midmean - Empirical Distribution Function - Interpolation0.262147864610918
Midmean - Closest Observation0.202910387335027
Midmean - True Basic - Statistics Graphics Toolkit0.262147864610918
Midmean - MS Excel (old versions)0.251715828033782
Number of observations120



Parameters (Session):
par1 = 12 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = 0 ; par7 = 0 ; par8 = 0 ; par9 = 0 ; par10 = FALSE ;
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')