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Author

*The author of this computation has been verified*

R Software Module

rwasp_centraltendency.wasp

Title produced by software

Central Tendency

Date of computation

Fri, 16 Oct 2009 02:10:06 -0600

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Oct/16/t1255681374emjvmd7tp5ptbin.htm/, Retrieved Mon, 29 Apr 2024 10:18:04 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=46920, Retrieved Mon, 29 Apr 2024 10:18:04 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

255

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Central Tendency] [SHW_WS3_Yt=c+Xt] [2009-10-16 08:10:06] [f0f26816ac6124f58333f11f6c174000] [Current]
- R  D    [Central Tendency] [] [2009-10-20 07:12:53] [9b30bff5dd5a100f8196daf92e735633] 
- R  D    [Central Tendency] [] [2009-10-20 07:38:50] [9b30bff5dd5a100f8196daf92e735633] 
-    D    [Central Tendency] [Berekening pt 2 (1)] [2009-10-20 18:19:33] [7d268329e554b8694908ba13e6e6f258] 
-    D    [Central Tendency] [Berekening pt 2 (2)] [2009-10-20 18:28:04] [7d268329e554b8694908ba13e6e6f258] 
-    D    [Central Tendency] [Berekening pt 2 (2)] [2009-10-20 18:47:10] [7d268329e554b8694908ba13e6e6f258] 
-    D      [Central Tendency] [Berekening pt 2 (3)] [2009-10-20 18:52:42] [44aba10e04b8829f2a97df951213e00a] 
- RM D      [Harrell-Davis Quantiles] [Berekening pt 3 (1)] [2009-10-20 19:08:19] [7d268329e554b8694908ba13e6e6f258] 
- RMPD    [Univariate Explorative Data Analysis] [paper] [2009-11-02 10:43:25] [8b1aef4e7013bd33fbc2a5833375c5f5] 
- RMPD    [Univariate Explorative Data Analysis] [] [2009-11-02 10:43:25] [8b1aef4e7013bd33fbc2a5833375c5f5] 
-    D      [Univariate Explorative Data Analysis] [ws 3] [2009-11-14 15:26:06] [b5908418e3090fddbd22f5f0f774653d] 
- R  D      [Univariate Explorative Data Analysis] [Run_sequence_et] [2009-12-28 13:10:54] [2663058f2a5dda519058ac6b2228468f] 
- RMPD        [Harrell-Davis Quantiles] [Harrel-Davis_et] [2009-12-28 13:18:38] [2663058f2a5dda519058ac6b2228468f] 
-   PD          [Harrell-Davis Quantiles] [Harrel-Davis_et] [2009-12-28 13:49:16] [2663058f2a5dda519058ac6b2228468f] 
-   PD            [Harrell-Davis Quantiles] [Harrell-Davis_et] [2009-12-29 09:57:52] [2663058f2a5dda519058ac6b2228468f] 
-    D      [Univariate Explorative Data Analysis] [] [2009-12-30 18:10:18] [55b7a497389226c9339ee8d75ebc3b97] 
-    D      [Univariate Explorative Data Analysis] [] [2009-12-30 18:12:55] [55b7a497389226c9339ee8d75ebc3b97] 
-    D      [Univariate Explorative Data Analysis] [] [2009-12-30 18:54:35] [55b7a497389226c9339ee8d75ebc3b97] 
-    D      [Univariate Explorative Data Analysis] [] [2009-12-30 18:59:41] [55b7a497389226c9339ee8d75ebc3b97] 
-   PD      [Univariate Explorative Data Analysis] [Paper univariate 2] [2010-12-04 10:09:17] [814f53995537cd15c528d8efbf1cf544] 
- R  D        [Univariate Explorative Data Analysis] [] [2011-12-01 18:21:13] [74be16979710d4c4e7c6647856088456] 
- RM D    [Central Tendency] [Basismodel] [2009-12-28 12:48:47] [2663058f2a5dda519058ac6b2228468f] 
-  M D    [Central Tendency] [paper univariate] [2010-12-04 09:51:15] [814f53995537cd15c528d8efbf1cf544] 
- R  D      [Central Tendency] [] [2011-12-01 18:07:24] [74be16979710d4c4e7c6647856088456] 
-    D      [Central Tendency] [Central Tendancy] [2011-12-18 12:40:51] [c505444e07acba7694d29053ca5d114e] 
- RMPD      [Univariate Data Series] [Aantal seconden i...] [2011-12-18 13:06:11] [c505444e07acba7694d29053ca5d114e] 
- RMPD      [Univariate Data Series] [aantal characters] [2011-12-18 13:10:30] [c505444e07acba7694d29053ca5d114e] 
- RMPD      [Univariate Data Series] [] [2011-12-18 13:16:44] [c505444e07acba7694d29053ca5d114e] 
- RMPD      [Univariate Data Series] [] [2011-12-18 13:17:37] [c505444e07acba7694d29053ca5d114e] 
- RM D      [Pearson Correlation] [] [2011-12-18 13:23:29] [c505444e07acba7694d29053ca5d114e] 
- RM D      [Kendall tau Rank Correlation] [] [2011-12-18 13:38:06] [c505444e07acba7694d29053ca5d114e] 

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Dataseries X:

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3,88
3,98
3,29
2,88
3,22
3,62
3,82
3,54
2,53
2,22
2,85
2,78
2,28
2,26
2,71
2,77
2,77
2,64
2,56
2,07
2,32
2,16
2,23
2,4
2,84
2,77
2,93
2,91
2,69
2,38
2,58
3,19
2,82
2,72
2,53
2,7
2,42
2,5
2,31
2,41
2,56
2,76
2,71
2,44
2,46
2,12
1,99
1,86
1,88
1,82
1,74
1,71
1,38
1,27
1,19
1,28
1,19
1,22
1,47
1,46
1,96
1,88
2,03
2,04
1,9
1,8
1,92
1,92
1,97
2,46
2,36
2,53
2,31
1,98
1,46
1,26
1,58
1,74
1,89
1,85
1,62
1,3
1,42
1,15
0,42
0,74
1,02
1,51
1,86
1,59
1,03
0,44
0,82
0,86
0,58
0,59
0,95
0,98
1,23
1,17
0,84
0,74
0,65
0,91
1,19
1,3
1,53
1,94
1,79
1,95
2,26
2,04
2,16
2,75
2,79
2,88
3,36
2,97
3,1
2,49
2,2
2,25
2,09
2,79
3,14
2,93
2,65
2,67
2,26
2,35
2,13
2,18
2,9
2,63
2,67
1,81
1,33
0,88
1,28
1,26
1,26
1,29
1,1
1,37
1,21
1,74
1,76
1,48
1,04
1,62
1,49
1,79
1,8
1,58
1,86
1,74
1,59
1,26
1,13
1,92
2,61
2,26
2,41
2,26
2,03
2,86
2,55
2,27
2,26
2,57
3,07
2,76
2,51
2,87
3,14
3,11
3,16
2,47
2,57
2,89
2,63
2,38
1,69
1,96
2,19
1,87
1,6
1,63
1,22
1,21
1,49
1,64
1,66
1,77
1,82
1,78
1,28
1,29
1,37
1,12
1,51
2,24
2,94
3,09
3,46
3,64
4,39
4,15
5,21
5,8
5,91
5,39
5,46
4,72
3,14
2,63
2,32
1,93
0,62
0,6
-0,37
-1,1
-1,68
-0,78

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=46920&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=46920&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=46920&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Central Tendency - Ungrouped Data
Measure	Value	S.E.	Value/S.E.
Arithmetic Mean	2.10995535714286	0.0682153442484514	30.9308027451721
Geometric Mean	NaN
Harmonic Mean	1.86850864882622
Quadratic Mean	2.34299059125603
Winsorized Mean ( 1 / 74 )	2.11205357142857	0.0674947585214853	31.2921124202
Winsorized Mean ( 2 / 74 )	2.111875	0.0661933119156359	31.9046583239649
Winsorized Mean ( 3 / 74 )	2.11642857142857	0.0649714036257521	32.5747706424754
Winsorized Mean ( 4 / 74 )	2.12732142857143	0.0621640221363217	34.2211033884897
Winsorized Mean ( 5 / 74 )	2.11683035714286	0.0598223750696012	35.3852610278345
Winsorized Mean ( 6 / 74 )	2.11174107142857	0.0577171589673691	36.5877515319571
Winsorized Mean ( 7 / 74 )	2.10455357142857	0.0564055443121937	37.3111118258212
Winsorized Mean ( 8 / 74 )	2.09883928571429	0.0554062543688704	37.8809091071405
Winsorized Mean ( 9 / 74 )	2.095625	0.0547091547910698	38.3048323082862
Winsorized Mean ( 10 / 74 )	2.09428571428571	0.0541608139922872	38.6679143076386
Winsorized Mean ( 11 / 74 )	2.08986607142857	0.0524229736001068	39.8654621801979
Winsorized Mean ( 12 / 74 )	2.08879464285714	0.052281579165617	39.9527840626291
Winsorized Mean ( 13 / 74 )	2.08879464285714	0.0511543897607972	40.8331455545564
Winsorized Mean ( 14 / 74 )	2.08504464285714	0.0503916037872818	41.376826418519
Winsorized Mean ( 15 / 74 )	2.0796875	0.0494446816956694	42.0608936831754
Winsorized Mean ( 16 / 74 )	2.07611607142857	0.0487173158274328	42.6155677127743
Winsorized Mean ( 17 / 74 )	2.07308035714286	0.0478857893109913	43.2921830666582
Winsorized Mean ( 18 / 74 )	2.07388392857143	0.0472823499356121	43.8616932406192
Winsorized Mean ( 19 / 74 )	2.07388392857143	0.0467459537978580	44.3649933326734
Winsorized Mean ( 20 / 74 )	2.07566964285714	0.0461902390958485	44.9374084977122
Winsorized Mean ( 21 / 74 )	2.07660714285714	0.0460944697410276	45.0511125200949
Winsorized Mean ( 22 / 74 )	2.07758928571429	0.0459947917085778	45.1700987989652
Winsorized Mean ( 23 / 74 )	2.08066964285714	0.0450651708741052	46.1702375137938
Winsorized Mean ( 24 / 74 )	2.08174107142857	0.0447478121439122	46.5216280235901
Winsorized Mean ( 25 / 74 )	2.08174107142857	0.0445269329899769	46.7524020101986
Winsorized Mean ( 26 / 74 )	2.08174107142857	0.0440710447612687	47.236027253388
Winsorized Mean ( 27 / 74 )	2.07209821428571	0.0426671060589722	48.564301769653
Winsorized Mean ( 28 / 74 )	2.07084821428571	0.0420806217202301	49.2114453073815
Winsorized Mean ( 29 / 74 )	2.06955357142857	0.0419611417273329	49.32071641131
Winsorized Mean ( 30 / 74 )	2.06955357142857	0.0419611417273329	49.32071641131
Winsorized Mean ( 31 / 74 )	2.06955357142857	0.0414492512109902	49.9298180537417
Winsorized Mean ( 32 / 74 )	2.068125	0.0413198170880853	50.0516494444103
Winsorized Mean ( 33 / 74 )	2.068125	0.0410503346487673	50.3802226631081
Winsorized Mean ( 34 / 74 )	2.06660714285714	0.0409145385903442	50.510337255639
Winsorized Mean ( 35 / 74 )	2.06816964285714	0.0407700220502944	50.7277047901967
Winsorized Mean ( 36 / 74 )	2.07138392857143	0.0401861138509242	51.5447683310585
Winsorized Mean ( 37 / 74 )	2.06973214285714	0.0400394144199217	51.6923679539964
Winsorized Mean ( 38 / 74 )	2.06803571428571	0.0398897763941597	51.8437529920197
Winsorized Mean ( 39 / 74 )	2.06629464285714	0.0397372416948364	51.9989449374803
Winsorized Mean ( 40 / 74 )	2.06450892857143	0.0392649842617104	52.5788808372108
Winsorized Mean ( 41 / 74 )	2.06084821428571	0.0386296691426456	53.3488445545764
Winsorized Mean ( 42 / 74 )	2.06084821428571	0.0386296691426456	53.3488445545764
Winsorized Mean ( 43 / 74 )	2.05892857142857	0.0384677453703669	53.5235052536934
Winsorized Mean ( 44 / 74 )	2.05892857142857	0.038125034224878	54.0046353606955
Winsorized Mean ( 45 / 74 )	2.05892857142857	0.038125034224878	54.0046353606955
Winsorized Mean ( 46 / 74 )	2.06098214285714	0.0379398145873318	54.322409460201
Winsorized Mean ( 47 / 74 )	2.05888392857143	0.0377645539456801	54.5189526541977
Winsorized Mean ( 48 / 74 )	2.0653125	0.037189882042476	55.5342578833976
Winsorized Mean ( 49 / 74 )	2.071875	0.0362385009319067	57.1733086833013
Winsorized Mean ( 50 / 74 )	2.06517857142857	0.0356819580627072	57.8773891219546
Winsorized Mean ( 51 / 74 )	2.06517857142857	0.0352964568110134	58.5095150622650
Winsorized Mean ( 52 / 74 )	2.07446428571429	0.034497205237064	60.1342709201692
Winsorized Mean ( 53 / 74 )	2.0815625	0.0335051750537909	62.1265967617885
Winsorized Mean ( 54 / 74 )	2.07915178571429	0.0333062713642554	62.4252340640464
Winsorized Mean ( 55 / 74 )	2.07669642857143	0.0327000554896582	63.5074282741879
Winsorized Mean ( 56 / 74 )	2.07919642857143	0.0324926861125336	63.9896751339807
Winsorized Mean ( 57 / 74 )	2.07665178571429	0.0318696536632789	65.160789246576
Winsorized Mean ( 58 / 74 )	2.0740625	0.0316614341282042	65.5075348640766
Winsorized Mean ( 59 / 74 )	2.07669642857143	0.0310168126683616	66.953895320448
Winsorized Mean ( 60 / 74 )	2.07669642857143	0.0310168126683616	66.953895320448
Winsorized Mean ( 61 / 74 )	2.08214285714286	0.0305731378281298	68.1036689412729
Winsorized Mean ( 62 / 74 )	2.09044642857143	0.0290219863518504	72.0297502461662
Winsorized Mean ( 63 / 74 )	2.08200892857143	0.0283509355077616	73.4370450668706
Winsorized Mean ( 64 / 74 )	2.08200892857143	0.0278999496513126	74.6241106020589
Winsorized Mean ( 65 / 74 )	2.08200892857143	0.0278999496513126	74.6241106020589
Winsorized Mean ( 66 / 74 )	2.08200892857143	0.0274367378389409	75.883982301148
Winsorized Mean ( 67 / 74 )	2.08799107142857	0.026968316932213	77.4238554329105
Winsorized Mean ( 68 / 74 )	2.08495535714286	0.0267307677341549	77.9983342745082
Winsorized Mean ( 69 / 74 )	2.081875	0.0260123398823156	80.0341303173328
Winsorized Mean ( 70 / 74 )	2.085	0.0257696237956658	80.9092137523045
Winsorized Mean ( 71 / 74 )	2.09133928571429	0.0252816447127698	82.721646849896
Winsorized Mean ( 72 / 74 )	2.09455357142857	0.0240498308878454	87.0922369972732
Winsorized Mean ( 73 / 74 )	2.0978125	0.0233084988185101	90.00204244531
Winsorized Mean ( 74 / 74 )	2.10441964285714	0.0223200526081352	94.2838119516855
Trimmed Mean ( 1 / 74 )	2.10990990990991	0.0644255396638944	32.7495884538528
Trimmed Mean ( 2 / 74 )	2.10772727272727	0.061074824240483	34.5105745114888
Trimmed Mean ( 3 / 74 )	2.10559633027523	0.0581824536531338	36.1895416585240
Trimmed Mean ( 4 / 74 )	2.10185185185185	0.0555338315263573	37.8481331844405
Trimmed Mean ( 5 / 74 )	2.09518691588785	0.0535523526240979	39.1240872384203
Trimmed Mean ( 6 / 74 )	2.09061320754717	0.0520286869731783	40.1819328753177
Trimmed Mean ( 7 / 74 )	2.08685714285714	0.0508565783682298	41.0341633239095
Trimmed Mean ( 8 / 74 )	2.08413461538462	0.0498553379769398	41.8036402912084
Trimmed Mean ( 9 / 74 )	2.08213592233010	0.0489579454365005	42.5290706904903
Trimmed Mean ( 10 / 74 )	2.08049019607843	0.048109621340404	43.2447842679479
Trimmed Mean ( 11 / 74 )	2.07896039603960	0.0472839681992404	43.9675533846798
Trimmed Mean ( 12 / 74 )	2.07785	0.0466320396628281	44.5584198122974
Trimmed Mean ( 13 / 74 )	2.07681818181818	0.0459559498557384	45.1914972563417
Trimmed Mean ( 14 / 74 )	2.07576530612245	0.0453655382049161	45.7564351324615
Trimmed Mean ( 15 / 74 )	2.075	0.0448199842919896	46.2963125217082
Trimmed Mean ( 16 / 74 )	2.07463541666667	0.0443365303713534	46.7929131867099
Trimmed Mean ( 17 / 74 )	2.07452631578947	0.0438926398897562	47.2636487802966
Trimmed Mean ( 18 / 74 )	2.07462765957447	0.0434969700283049	47.6959121112216
Trimmed Mean ( 19 / 74 )	2.07467741935484	0.0431288057661101	48.1042167178459
Trimmed Mean ( 20 / 74 )	2.07472826086957	0.0427819100488123	48.4954565727054
Trimmed Mean ( 21 / 74 )	2.07467032967033	0.0424574235658678	48.8647250686731
Trimmed Mean ( 22 / 74 )	2.07455555555556	0.0421180630684391	49.2557208099656
Trimmed Mean ( 23 / 74 )	2.07438202247191	0.0417627909265622	49.6705793949357
Trimmed Mean ( 24 / 74 )	2.07403409090909	0.0414543387494135	50.0317735966404
Trimmed Mean ( 25 / 74 )	2.07362068965517	0.0411473459450015	50.3950046359448
Trimmed Mean ( 26 / 74 )	2.07319767441860	0.0408341311169744	50.7711959997305
Trimmed Mean ( 27 / 74 )	2.07276470588235	0.0405309353554524	51.1403126452525
Trimmed Mean ( 28 / 74 )	2.07279761904762	0.040304827028563	51.4280241812893
Trimmed Mean ( 29 / 74 )	2.07289156626506	0.0401007366274576	51.6921069436345
Trimmed Mean ( 30 / 74 )	2.07304878048781	0.0398874649633929	51.9724375161561
Trimmed Mean ( 31 / 74 )	2.07320987654321	0.0396561068658427	52.2797127705176
Trimmed Mean ( 32 / 74 )	2.073375	0.0394395572403452	52.5709502103389
Trimmed Mean ( 33 / 74 )	2.07360759493671	0.0392127251831577	52.8809865994048
Trimmed Mean ( 34 / 74 )	2.07384615384615	0.0389839378111809	53.1974518297985
Trimmed Mean ( 35 / 74 )	2.07415584415584	0.0387438247951167	53.5351337954964
Trimmed Mean ( 36 / 74 )	2.07440789473684	0.0384920462232440	53.8918581440387
Trimmed Mean ( 37 / 74 )	2.07453333333333	0.0382563573014296	54.2271528098628
Trimmed Mean ( 38 / 74 )	2.07472972972973	0.0380086023330783	54.5857938039496
Trimmed Mean ( 39 / 74 )	2.075	0.0377477956887231	54.9700972504705
Trimmed Mean ( 40 / 74 )	2.07534722222222	0.0374728486522633	55.3826916517828
Trimmed Mean ( 41 / 74 )	2.07577464788732	0.0372035042520879	55.7951378402971
Trimmed Mean ( 42 / 74 )	2.07635714285714	0.0369501776603219	56.1934278623724
Trimmed Mean ( 43 / 74 )	2.07695652173913	0.0366720434055837	56.6359637713259
Trimmed Mean ( 44 / 74 )	2.07764705882353	0.0363773845947961	57.1137007777284
Trimmed Mean ( 45 / 74 )	2.07835820895522	0.0360770124200749	57.6089334880382
Trimmed Mean ( 46 / 74 )	2.07909090909091	0.0357467922279106	58.161607783861
Trimmed Mean ( 47 / 74 )	2.07976923076923	0.0353969677177157	58.7555761090895
Trimmed Mean ( 48 / 74 )	2.080546875	0.0350241249451166	59.4032507096253
Trimmed Mean ( 49 / 74 )	2.08111111111111	0.0346557166263426	60.0510193902385
Trimmed Mean ( 50 / 74 )	2.08145161290323	0.0343182628084098	60.6514270411484
Trimmed Mean ( 51 / 74 )	2.08204918032787	0.0339841724049513	61.2652606489404
Trimmed Mean ( 52 / 74 )	2.08266666666667	0.0336418634539963	61.9069948225258
Trimmed Mean ( 53 / 74 )	2.08296610169492	0.0333214471032823	62.5112737522654
Trimmed Mean ( 54 / 74 )	2.08301724137931	0.0330374418067323	63.0501978199424
Trimmed Mean ( 55 / 74 )	2.08315789473684	0.0327344862320389	63.6380201592396
Trimmed Mean ( 56 / 74 )	2.08339285714286	0.0324405588418297	64.2218547251559
Trimmed Mean ( 57 / 74 )	2.08354545454545	0.0321266224900957	64.8541705617448
Trimmed Mean ( 58 / 74 )	2.08379629629630	0.031821835927929	65.483220421843
Trimmed Mean ( 59 / 74 )	2.08415094339623	0.031494624514461	66.1748147668588
Trimmed Mean ( 60 / 74 )	2.08442307692308	0.0311773657519835	66.856933761008
Trimmed Mean ( 61 / 74 )	2.08442307692308	0.0308186704153934	67.6350747396923
Trimmed Mean ( 62 / 74 )	2.0848	0.030450648929079	68.4648791838755
Trimmed Mean ( 63 / 74 )	2.08459183673469	0.0301637191859754	69.1092442507529
Trimmed Mean ( 64 / 74 )	2.0846875	0.0298919667100353	69.740727340638
Trimmed Mean ( 65 / 74 )	2.08478723404255	0.0296180709040438	70.3890284008305
Trimmed Mean ( 66 / 74 )	2.08489130434783	0.0293024879396911	71.1506582184708
Trimmed Mean ( 67 / 74 )	2.085	0.0289811381253601	71.9433443566356
Trimmed Mean ( 68 / 74 )	2.08488636363636	0.0286536055265366	72.7617458719291
Trimmed Mean ( 69 / 74 )	2.08488372093023	0.0282972033083927	73.6780839508572
Trimmed Mean ( 70 / 74 )	2.085	0.0279545057009511	74.5854719201513
Trimmed Mean ( 71 / 74 )	2.085	0.0275799186379271	75.5984826268767
Trimmed Mean ( 72 / 74 )	2.08475	0.0271936183643669	76.6632072299633
Trimmed Mean ( 73 / 74 )	2.08435897435897	0.0268718730377899	77.5665682636913
Trimmed Mean ( 74 / 74 )	2.08381578947368	0.0265699785110829	78.4274548285569
Median	2.055
Midrange	2.115
Midmean - Weighted Average at Xnp	2.08315789473684
Midmean - Weighted Average at X(n+1)p	2.08858407079646
Midmean - Empirical Distribution Function	2.08315789473684
Midmean - Empirical Distribution Function - Averaging	2.08858407079646
Midmean - Empirical Distribution Function - Interpolation	2.08858407079646
Midmean - Closest Observation	2.08315789473684
Midmean - True Basic - Statistics Graphics Toolkit	2.08858407079646
Midmean - MS Excel (old versions)	2.08315789473684
Number of observations	224

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 2.10995535714286 & 0.0682153442484514 & 30.9308027451721 \tabularnewline
Geometric Mean & NaN &  &  \tabularnewline
Harmonic Mean & 1.86850864882622 &  &  \tabularnewline
Quadratic Mean & 2.34299059125603 &  &  \tabularnewline
Winsorized Mean ( 1 / 74 ) & 2.11205357142857 & 0.0674947585214853 & 31.2921124202 \tabularnewline
Winsorized Mean ( 2 / 74 ) & 2.111875 & 0.0661933119156359 & 31.9046583239649 \tabularnewline
Winsorized Mean ( 3 / 74 ) & 2.11642857142857 & 0.0649714036257521 & 32.5747706424754 \tabularnewline
Winsorized Mean ( 4 / 74 ) & 2.12732142857143 & 0.0621640221363217 & 34.2211033884897 \tabularnewline
Winsorized Mean ( 5 / 74 ) & 2.11683035714286 & 0.0598223750696012 & 35.3852610278345 \tabularnewline
Winsorized Mean ( 6 / 74 ) & 2.11174107142857 & 0.0577171589673691 & 36.5877515319571 \tabularnewline
Winsorized Mean ( 7 / 74 ) & 2.10455357142857 & 0.0564055443121937 & 37.3111118258212 \tabularnewline
Winsorized Mean ( 8 / 74 ) & 2.09883928571429 & 0.0554062543688704 & 37.8809091071405 \tabularnewline
Winsorized Mean ( 9 / 74 ) & 2.095625 & 0.0547091547910698 & 38.3048323082862 \tabularnewline
Winsorized Mean ( 10 / 74 ) & 2.09428571428571 & 0.0541608139922872 & 38.6679143076386 \tabularnewline
Winsorized Mean ( 11 / 74 ) & 2.08986607142857 & 0.0524229736001068 & 39.8654621801979 \tabularnewline
Winsorized Mean ( 12 / 74 ) & 2.08879464285714 & 0.052281579165617 & 39.9527840626291 \tabularnewline
Winsorized Mean ( 13 / 74 ) & 2.08879464285714 & 0.0511543897607972 & 40.8331455545564 \tabularnewline
Winsorized Mean ( 14 / 74 ) & 2.08504464285714 & 0.0503916037872818 & 41.376826418519 \tabularnewline
Winsorized Mean ( 15 / 74 ) & 2.0796875 & 0.0494446816956694 & 42.0608936831754 \tabularnewline
Winsorized Mean ( 16 / 74 ) & 2.07611607142857 & 0.0487173158274328 & 42.6155677127743 \tabularnewline
Winsorized Mean ( 17 / 74 ) & 2.07308035714286 & 0.0478857893109913 & 43.2921830666582 \tabularnewline
Winsorized Mean ( 18 / 74 ) & 2.07388392857143 & 0.0472823499356121 & 43.8616932406192 \tabularnewline
Winsorized Mean ( 19 / 74 ) & 2.07388392857143 & 0.0467459537978580 & 44.3649933326734 \tabularnewline
Winsorized Mean ( 20 / 74 ) & 2.07566964285714 & 0.0461902390958485 & 44.9374084977122 \tabularnewline
Winsorized Mean ( 21 / 74 ) & 2.07660714285714 & 0.0460944697410276 & 45.0511125200949 \tabularnewline
Winsorized Mean ( 22 / 74 ) & 2.07758928571429 & 0.0459947917085778 & 45.1700987989652 \tabularnewline
Winsorized Mean ( 23 / 74 ) & 2.08066964285714 & 0.0450651708741052 & 46.1702375137938 \tabularnewline
Winsorized Mean ( 24 / 74 ) & 2.08174107142857 & 0.0447478121439122 & 46.5216280235901 \tabularnewline
Winsorized Mean ( 25 / 74 ) & 2.08174107142857 & 0.0445269329899769 & 46.7524020101986 \tabularnewline
Winsorized Mean ( 26 / 74 ) & 2.08174107142857 & 0.0440710447612687 & 47.236027253388 \tabularnewline
Winsorized Mean ( 27 / 74 ) & 2.07209821428571 & 0.0426671060589722 & 48.564301769653 \tabularnewline
Winsorized Mean ( 28 / 74 ) & 2.07084821428571 & 0.0420806217202301 & 49.2114453073815 \tabularnewline
Winsorized Mean ( 29 / 74 ) & 2.06955357142857 & 0.0419611417273329 & 49.32071641131 \tabularnewline
Winsorized Mean ( 30 / 74 ) & 2.06955357142857 & 0.0419611417273329 & 49.32071641131 \tabularnewline
Winsorized Mean ( 31 / 74 ) & 2.06955357142857 & 0.0414492512109902 & 49.9298180537417 \tabularnewline
Winsorized Mean ( 32 / 74 ) & 2.068125 & 0.0413198170880853 & 50.0516494444103 \tabularnewline
Winsorized Mean ( 33 / 74 ) & 2.068125 & 0.0410503346487673 & 50.3802226631081 \tabularnewline
Winsorized Mean ( 34 / 74 ) & 2.06660714285714 & 0.0409145385903442 & 50.510337255639 \tabularnewline
Winsorized Mean ( 35 / 74 ) & 2.06816964285714 & 0.0407700220502944 & 50.7277047901967 \tabularnewline
Winsorized Mean ( 36 / 74 ) & 2.07138392857143 & 0.0401861138509242 & 51.5447683310585 \tabularnewline
Winsorized Mean ( 37 / 74 ) & 2.06973214285714 & 0.0400394144199217 & 51.6923679539964 \tabularnewline
Winsorized Mean ( 38 / 74 ) & 2.06803571428571 & 0.0398897763941597 & 51.8437529920197 \tabularnewline
Winsorized Mean ( 39 / 74 ) & 2.06629464285714 & 0.0397372416948364 & 51.9989449374803 \tabularnewline
Winsorized Mean ( 40 / 74 ) & 2.06450892857143 & 0.0392649842617104 & 52.5788808372108 \tabularnewline
Winsorized Mean ( 41 / 74 ) & 2.06084821428571 & 0.0386296691426456 & 53.3488445545764 \tabularnewline
Winsorized Mean ( 42 / 74 ) & 2.06084821428571 & 0.0386296691426456 & 53.3488445545764 \tabularnewline
Winsorized Mean ( 43 / 74 ) & 2.05892857142857 & 0.0384677453703669 & 53.5235052536934 \tabularnewline
Winsorized Mean ( 44 / 74 ) & 2.05892857142857 & 0.038125034224878 & 54.0046353606955 \tabularnewline
Winsorized Mean ( 45 / 74 ) & 2.05892857142857 & 0.038125034224878 & 54.0046353606955 \tabularnewline
Winsorized Mean ( 46 / 74 ) & 2.06098214285714 & 0.0379398145873318 & 54.322409460201 \tabularnewline
Winsorized Mean ( 47 / 74 ) & 2.05888392857143 & 0.0377645539456801 & 54.5189526541977 \tabularnewline
Winsorized Mean ( 48 / 74 ) & 2.0653125 & 0.037189882042476 & 55.5342578833976 \tabularnewline
Winsorized Mean ( 49 / 74 ) & 2.071875 & 0.0362385009319067 & 57.1733086833013 \tabularnewline
Winsorized Mean ( 50 / 74 ) & 2.06517857142857 & 0.0356819580627072 & 57.8773891219546 \tabularnewline
Winsorized Mean ( 51 / 74 ) & 2.06517857142857 & 0.0352964568110134 & 58.5095150622650 \tabularnewline
Winsorized Mean ( 52 / 74 ) & 2.07446428571429 & 0.034497205237064 & 60.1342709201692 \tabularnewline
Winsorized Mean ( 53 / 74 ) & 2.0815625 & 0.0335051750537909 & 62.1265967617885 \tabularnewline
Winsorized Mean ( 54 / 74 ) & 2.07915178571429 & 0.0333062713642554 & 62.4252340640464 \tabularnewline
Winsorized Mean ( 55 / 74 ) & 2.07669642857143 & 0.0327000554896582 & 63.5074282741879 \tabularnewline
Winsorized Mean ( 56 / 74 ) & 2.07919642857143 & 0.0324926861125336 & 63.9896751339807 \tabularnewline
Winsorized Mean ( 57 / 74 ) & 2.07665178571429 & 0.0318696536632789 & 65.160789246576 \tabularnewline
Winsorized Mean ( 58 / 74 ) & 2.0740625 & 0.0316614341282042 & 65.5075348640766 \tabularnewline
Winsorized Mean ( 59 / 74 ) & 2.07669642857143 & 0.0310168126683616 & 66.953895320448 \tabularnewline
Winsorized Mean ( 60 / 74 ) & 2.07669642857143 & 0.0310168126683616 & 66.953895320448 \tabularnewline
Winsorized Mean ( 61 / 74 ) & 2.08214285714286 & 0.0305731378281298 & 68.1036689412729 \tabularnewline
Winsorized Mean ( 62 / 74 ) & 2.09044642857143 & 0.0290219863518504 & 72.0297502461662 \tabularnewline
Winsorized Mean ( 63 / 74 ) & 2.08200892857143 & 0.0283509355077616 & 73.4370450668706 \tabularnewline
Winsorized Mean ( 64 / 74 ) & 2.08200892857143 & 0.0278999496513126 & 74.6241106020589 \tabularnewline
Winsorized Mean ( 65 / 74 ) & 2.08200892857143 & 0.0278999496513126 & 74.6241106020589 \tabularnewline
Winsorized Mean ( 66 / 74 ) & 2.08200892857143 & 0.0274367378389409 & 75.883982301148 \tabularnewline
Winsorized Mean ( 67 / 74 ) & 2.08799107142857 & 0.026968316932213 & 77.4238554329105 \tabularnewline
Winsorized Mean ( 68 / 74 ) & 2.08495535714286 & 0.0267307677341549 & 77.9983342745082 \tabularnewline
Winsorized Mean ( 69 / 74 ) & 2.081875 & 0.0260123398823156 & 80.0341303173328 \tabularnewline
Winsorized Mean ( 70 / 74 ) & 2.085 & 0.0257696237956658 & 80.9092137523045 \tabularnewline
Winsorized Mean ( 71 / 74 ) & 2.09133928571429 & 0.0252816447127698 & 82.721646849896 \tabularnewline
Winsorized Mean ( 72 / 74 ) & 2.09455357142857 & 0.0240498308878454 & 87.0922369972732 \tabularnewline
Winsorized Mean ( 73 / 74 ) & 2.0978125 & 0.0233084988185101 & 90.00204244531 \tabularnewline
Winsorized Mean ( 74 / 74 ) & 2.10441964285714 & 0.0223200526081352 & 94.2838119516855 \tabularnewline
Trimmed Mean ( 1 / 74 ) & 2.10990990990991 & 0.0644255396638944 & 32.7495884538528 \tabularnewline
Trimmed Mean ( 2 / 74 ) & 2.10772727272727 & 0.061074824240483 & 34.5105745114888 \tabularnewline
Trimmed Mean ( 3 / 74 ) & 2.10559633027523 & 0.0581824536531338 & 36.1895416585240 \tabularnewline
Trimmed Mean ( 4 / 74 ) & 2.10185185185185 & 0.0555338315263573 & 37.8481331844405 \tabularnewline
Trimmed Mean ( 5 / 74 ) & 2.09518691588785 & 0.0535523526240979 & 39.1240872384203 \tabularnewline
Trimmed Mean ( 6 / 74 ) & 2.09061320754717 & 0.0520286869731783 & 40.1819328753177 \tabularnewline
Trimmed Mean ( 7 / 74 ) & 2.08685714285714 & 0.0508565783682298 & 41.0341633239095 \tabularnewline
Trimmed Mean ( 8 / 74 ) & 2.08413461538462 & 0.0498553379769398 & 41.8036402912084 \tabularnewline
Trimmed Mean ( 9 / 74 ) & 2.08213592233010 & 0.0489579454365005 & 42.5290706904903 \tabularnewline
Trimmed Mean ( 10 / 74 ) & 2.08049019607843 & 0.048109621340404 & 43.2447842679479 \tabularnewline
Trimmed Mean ( 11 / 74 ) & 2.07896039603960 & 0.0472839681992404 & 43.9675533846798 \tabularnewline
Trimmed Mean ( 12 / 74 ) & 2.07785 & 0.0466320396628281 & 44.5584198122974 \tabularnewline
Trimmed Mean ( 13 / 74 ) & 2.07681818181818 & 0.0459559498557384 & 45.1914972563417 \tabularnewline
Trimmed Mean ( 14 / 74 ) & 2.07576530612245 & 0.0453655382049161 & 45.7564351324615 \tabularnewline
Trimmed Mean ( 15 / 74 ) & 2.075 & 0.0448199842919896 & 46.2963125217082 \tabularnewline
Trimmed Mean ( 16 / 74 ) & 2.07463541666667 & 0.0443365303713534 & 46.7929131867099 \tabularnewline
Trimmed Mean ( 17 / 74 ) & 2.07452631578947 & 0.0438926398897562 & 47.2636487802966 \tabularnewline
Trimmed Mean ( 18 / 74 ) & 2.07462765957447 & 0.0434969700283049 & 47.6959121112216 \tabularnewline
Trimmed Mean ( 19 / 74 ) & 2.07467741935484 & 0.0431288057661101 & 48.1042167178459 \tabularnewline
Trimmed Mean ( 20 / 74 ) & 2.07472826086957 & 0.0427819100488123 & 48.4954565727054 \tabularnewline
Trimmed Mean ( 21 / 74 ) & 2.07467032967033 & 0.0424574235658678 & 48.8647250686731 \tabularnewline
Trimmed Mean ( 22 / 74 ) & 2.07455555555556 & 0.0421180630684391 & 49.2557208099656 \tabularnewline
Trimmed Mean ( 23 / 74 ) & 2.07438202247191 & 0.0417627909265622 & 49.6705793949357 \tabularnewline
Trimmed Mean ( 24 / 74 ) & 2.07403409090909 & 0.0414543387494135 & 50.0317735966404 \tabularnewline
Trimmed Mean ( 25 / 74 ) & 2.07362068965517 & 0.0411473459450015 & 50.3950046359448 \tabularnewline
Trimmed Mean ( 26 / 74 ) & 2.07319767441860 & 0.0408341311169744 & 50.7711959997305 \tabularnewline
Trimmed Mean ( 27 / 74 ) & 2.07276470588235 & 0.0405309353554524 & 51.1403126452525 \tabularnewline
Trimmed Mean ( 28 / 74 ) & 2.07279761904762 & 0.040304827028563 & 51.4280241812893 \tabularnewline
Trimmed Mean ( 29 / 74 ) & 2.07289156626506 & 0.0401007366274576 & 51.6921069436345 \tabularnewline
Trimmed Mean ( 30 / 74 ) & 2.07304878048781 & 0.0398874649633929 & 51.9724375161561 \tabularnewline
Trimmed Mean ( 31 / 74 ) & 2.07320987654321 & 0.0396561068658427 & 52.2797127705176 \tabularnewline
Trimmed Mean ( 32 / 74 ) & 2.073375 & 0.0394395572403452 & 52.5709502103389 \tabularnewline
Trimmed Mean ( 33 / 74 ) & 2.07360759493671 & 0.0392127251831577 & 52.8809865994048 \tabularnewline
Trimmed Mean ( 34 / 74 ) & 2.07384615384615 & 0.0389839378111809 & 53.1974518297985 \tabularnewline
Trimmed Mean ( 35 / 74 ) & 2.07415584415584 & 0.0387438247951167 & 53.5351337954964 \tabularnewline
Trimmed Mean ( 36 / 74 ) & 2.07440789473684 & 0.0384920462232440 & 53.8918581440387 \tabularnewline
Trimmed Mean ( 37 / 74 ) & 2.07453333333333 & 0.0382563573014296 & 54.2271528098628 \tabularnewline
Trimmed Mean ( 38 / 74 ) & 2.07472972972973 & 0.0380086023330783 & 54.5857938039496 \tabularnewline
Trimmed Mean ( 39 / 74 ) & 2.075 & 0.0377477956887231 & 54.9700972504705 \tabularnewline
Trimmed Mean ( 40 / 74 ) & 2.07534722222222 & 0.0374728486522633 & 55.3826916517828 \tabularnewline
Trimmed Mean ( 41 / 74 ) & 2.07577464788732 & 0.0372035042520879 & 55.7951378402971 \tabularnewline
Trimmed Mean ( 42 / 74 ) & 2.07635714285714 & 0.0369501776603219 & 56.1934278623724 \tabularnewline
Trimmed Mean ( 43 / 74 ) & 2.07695652173913 & 0.0366720434055837 & 56.6359637713259 \tabularnewline
Trimmed Mean ( 44 / 74 ) & 2.07764705882353 & 0.0363773845947961 & 57.1137007777284 \tabularnewline
Trimmed Mean ( 45 / 74 ) & 2.07835820895522 & 0.0360770124200749 & 57.6089334880382 \tabularnewline
Trimmed Mean ( 46 / 74 ) & 2.07909090909091 & 0.0357467922279106 & 58.161607783861 \tabularnewline
Trimmed Mean ( 47 / 74 ) & 2.07976923076923 & 0.0353969677177157 & 58.7555761090895 \tabularnewline
Trimmed Mean ( 48 / 74 ) & 2.080546875 & 0.0350241249451166 & 59.4032507096253 \tabularnewline
Trimmed Mean ( 49 / 74 ) & 2.08111111111111 & 0.0346557166263426 & 60.0510193902385 \tabularnewline
Trimmed Mean ( 50 / 74 ) & 2.08145161290323 & 0.0343182628084098 & 60.6514270411484 \tabularnewline
Trimmed Mean ( 51 / 74 ) & 2.08204918032787 & 0.0339841724049513 & 61.2652606489404 \tabularnewline
Trimmed Mean ( 52 / 74 ) & 2.08266666666667 & 0.0336418634539963 & 61.9069948225258 \tabularnewline
Trimmed Mean ( 53 / 74 ) & 2.08296610169492 & 0.0333214471032823 & 62.5112737522654 \tabularnewline
Trimmed Mean ( 54 / 74 ) & 2.08301724137931 & 0.0330374418067323 & 63.0501978199424 \tabularnewline
Trimmed Mean ( 55 / 74 ) & 2.08315789473684 & 0.0327344862320389 & 63.6380201592396 \tabularnewline
Trimmed Mean ( 56 / 74 ) & 2.08339285714286 & 0.0324405588418297 & 64.2218547251559 \tabularnewline
Trimmed Mean ( 57 / 74 ) & 2.08354545454545 & 0.0321266224900957 & 64.8541705617448 \tabularnewline
Trimmed Mean ( 58 / 74 ) & 2.08379629629630 & 0.031821835927929 & 65.483220421843 \tabularnewline
Trimmed Mean ( 59 / 74 ) & 2.08415094339623 & 0.031494624514461 & 66.1748147668588 \tabularnewline
Trimmed Mean ( 60 / 74 ) & 2.08442307692308 & 0.0311773657519835 & 66.856933761008 \tabularnewline
Trimmed Mean ( 61 / 74 ) & 2.08442307692308 & 0.0308186704153934 & 67.6350747396923 \tabularnewline
Trimmed Mean ( 62 / 74 ) & 2.0848 & 0.030450648929079 & 68.4648791838755 \tabularnewline
Trimmed Mean ( 63 / 74 ) & 2.08459183673469 & 0.0301637191859754 & 69.1092442507529 \tabularnewline
Trimmed Mean ( 64 / 74 ) & 2.0846875 & 0.0298919667100353 & 69.740727340638 \tabularnewline
Trimmed Mean ( 65 / 74 ) & 2.08478723404255 & 0.0296180709040438 & 70.3890284008305 \tabularnewline
Trimmed Mean ( 66 / 74 ) & 2.08489130434783 & 0.0293024879396911 & 71.1506582184708 \tabularnewline
Trimmed Mean ( 67 / 74 ) & 2.085 & 0.0289811381253601 & 71.9433443566356 \tabularnewline
Trimmed Mean ( 68 / 74 ) & 2.08488636363636 & 0.0286536055265366 & 72.7617458719291 \tabularnewline
Trimmed Mean ( 69 / 74 ) & 2.08488372093023 & 0.0282972033083927 & 73.6780839508572 \tabularnewline
Trimmed Mean ( 70 / 74 ) & 2.085 & 0.0279545057009511 & 74.5854719201513 \tabularnewline
Trimmed Mean ( 71 / 74 ) & 2.085 & 0.0275799186379271 & 75.5984826268767 \tabularnewline
Trimmed Mean ( 72 / 74 ) & 2.08475 & 0.0271936183643669 & 76.6632072299633 \tabularnewline
Trimmed Mean ( 73 / 74 ) & 2.08435897435897 & 0.0268718730377899 & 77.5665682636913 \tabularnewline
Trimmed Mean ( 74 / 74 ) & 2.08381578947368 & 0.0265699785110829 & 78.4274548285569 \tabularnewline
Median & 2.055 &  &  \tabularnewline
Midrange & 2.115 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 2.08315789473684 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 2.08858407079646 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 2.08315789473684 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 2.08858407079646 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 2.08858407079646 &  &  \tabularnewline
Midmean - Closest Observation & 2.08315789473684 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 2.08858407079646 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 2.08315789473684 &  &  \tabularnewline
Number of observations & 224 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=46920&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]2.10995535714286[/C][C]0.0682153442484514[/C][C]30.9308027451721[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]NaN[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]1.86850864882622[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]2.34299059125603[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 74 )[/C][C]2.11205357142857[/C][C]0.0674947585214853[/C][C]31.2921124202[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 74 )[/C][C]2.111875[/C][C]0.0661933119156359[/C][C]31.9046583239649[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 74 )[/C][C]2.11642857142857[/C][C]0.0649714036257521[/C][C]32.5747706424754[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 74 )[/C][C]2.12732142857143[/C][C]0.0621640221363217[/C][C]34.2211033884897[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 74 )[/C][C]2.11683035714286[/C][C]0.0598223750696012[/C][C]35.3852610278345[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 74 )[/C][C]2.11174107142857[/C][C]0.0577171589673691[/C][C]36.5877515319571[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 74 )[/C][C]2.10455357142857[/C][C]0.0564055443121937[/C][C]37.3111118258212[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 74 )[/C][C]2.09883928571429[/C][C]0.0554062543688704[/C][C]37.8809091071405[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 74 )[/C][C]2.095625[/C][C]0.0547091547910698[/C][C]38.3048323082862[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 74 )[/C][C]2.09428571428571[/C][C]0.0541608139922872[/C][C]38.6679143076386[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 74 )[/C][C]2.08986607142857[/C][C]0.0524229736001068[/C][C]39.8654621801979[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 74 )[/C][C]2.08879464285714[/C][C]0.052281579165617[/C][C]39.9527840626291[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 74 )[/C][C]2.08879464285714[/C][C]0.0511543897607972[/C][C]40.8331455545564[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 74 )[/C][C]2.08504464285714[/C][C]0.0503916037872818[/C][C]41.376826418519[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 74 )[/C][C]2.0796875[/C][C]0.0494446816956694[/C][C]42.0608936831754[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 74 )[/C][C]2.07611607142857[/C][C]0.0487173158274328[/C][C]42.6155677127743[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 74 )[/C][C]2.07308035714286[/C][C]0.0478857893109913[/C][C]43.2921830666582[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 74 )[/C][C]2.07388392857143[/C][C]0.0472823499356121[/C][C]43.8616932406192[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 74 )[/C][C]2.07388392857143[/C][C]0.0467459537978580[/C][C]44.3649933326734[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 74 )[/C][C]2.07566964285714[/C][C]0.0461902390958485[/C][C]44.9374084977122[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 74 )[/C][C]2.07660714285714[/C][C]0.0460944697410276[/C][C]45.0511125200949[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 74 )[/C][C]2.07758928571429[/C][C]0.0459947917085778[/C][C]45.1700987989652[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 74 )[/C][C]2.08066964285714[/C][C]0.0450651708741052[/C][C]46.1702375137938[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 74 )[/C][C]2.08174107142857[/C][C]0.0447478121439122[/C][C]46.5216280235901[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 74 )[/C][C]2.08174107142857[/C][C]0.0445269329899769[/C][C]46.7524020101986[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 74 )[/C][C]2.08174107142857[/C][C]0.0440710447612687[/C][C]47.236027253388[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 74 )[/C][C]2.07209821428571[/C][C]0.0426671060589722[/C][C]48.564301769653[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 74 )[/C][C]2.07084821428571[/C][C]0.0420806217202301[/C][C]49.2114453073815[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 74 )[/C][C]2.06955357142857[/C][C]0.0419611417273329[/C][C]49.32071641131[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 74 )[/C][C]2.06955357142857[/C][C]0.0419611417273329[/C][C]49.32071641131[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 74 )[/C][C]2.06955357142857[/C][C]0.0414492512109902[/C][C]49.9298180537417[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 74 )[/C][C]2.068125[/C][C]0.0413198170880853[/C][C]50.0516494444103[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 74 )[/C][C]2.068125[/C][C]0.0410503346487673[/C][C]50.3802226631081[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 74 )[/C][C]2.06660714285714[/C][C]0.0409145385903442[/C][C]50.510337255639[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 74 )[/C][C]2.06816964285714[/C][C]0.0407700220502944[/C][C]50.7277047901967[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 74 )[/C][C]2.07138392857143[/C][C]0.0401861138509242[/C][C]51.5447683310585[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 74 )[/C][C]2.06973214285714[/C][C]0.0400394144199217[/C][C]51.6923679539964[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 74 )[/C][C]2.06803571428571[/C][C]0.0398897763941597[/C][C]51.8437529920197[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 74 )[/C][C]2.06629464285714[/C][C]0.0397372416948364[/C][C]51.9989449374803[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 74 )[/C][C]2.06450892857143[/C][C]0.0392649842617104[/C][C]52.5788808372108[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 74 )[/C][C]2.06084821428571[/C][C]0.0386296691426456[/C][C]53.3488445545764[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 74 )[/C][C]2.06084821428571[/C][C]0.0386296691426456[/C][C]53.3488445545764[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 74 )[/C][C]2.05892857142857[/C][C]0.0384677453703669[/C][C]53.5235052536934[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 74 )[/C][C]2.05892857142857[/C][C]0.038125034224878[/C][C]54.0046353606955[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 74 )[/C][C]2.05892857142857[/C][C]0.038125034224878[/C][C]54.0046353606955[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 74 )[/C][C]2.06098214285714[/C][C]0.0379398145873318[/C][C]54.322409460201[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 74 )[/C][C]2.05888392857143[/C][C]0.0377645539456801[/C][C]54.5189526541977[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 74 )[/C][C]2.0653125[/C][C]0.037189882042476[/C][C]55.5342578833976[/C][/ROW]
[ROW][C]Winsorized Mean ( 49 / 74 )[/C][C]2.071875[/C][C]0.0362385009319067[/C][C]57.1733086833013[/C][/ROW]
[ROW][C]Winsorized Mean ( 50 / 74 )[/C][C]2.06517857142857[/C][C]0.0356819580627072[/C][C]57.8773891219546[/C][/ROW]
[ROW][C]Winsorized Mean ( 51 / 74 )[/C][C]2.06517857142857[/C][C]0.0352964568110134[/C][C]58.5095150622650[/C][/ROW]
[ROW][C]Winsorized Mean ( 52 / 74 )[/C][C]2.07446428571429[/C][C]0.034497205237064[/C][C]60.1342709201692[/C][/ROW]
[ROW][C]Winsorized Mean ( 53 / 74 )[/C][C]2.0815625[/C][C]0.0335051750537909[/C][C]62.1265967617885[/C][/ROW]
[ROW][C]Winsorized Mean ( 54 / 74 )[/C][C]2.07915178571429[/C][C]0.0333062713642554[/C][C]62.4252340640464[/C][/ROW]
[ROW][C]Winsorized Mean ( 55 / 74 )[/C][C]2.07669642857143[/C][C]0.0327000554896582[/C][C]63.5074282741879[/C][/ROW]
[ROW][C]Winsorized Mean ( 56 / 74 )[/C][C]2.07919642857143[/C][C]0.0324926861125336[/C][C]63.9896751339807[/C][/ROW]
[ROW][C]Winsorized Mean ( 57 / 74 )[/C][C]2.07665178571429[/C][C]0.0318696536632789[/C][C]65.160789246576[/C][/ROW]
[ROW][C]Winsorized Mean ( 58 / 74 )[/C][C]2.0740625[/C][C]0.0316614341282042[/C][C]65.5075348640766[/C][/ROW]
[ROW][C]Winsorized Mean ( 59 / 74 )[/C][C]2.07669642857143[/C][C]0.0310168126683616[/C][C]66.953895320448[/C][/ROW]
[ROW][C]Winsorized Mean ( 60 / 74 )[/C][C]2.07669642857143[/C][C]0.0310168126683616[/C][C]66.953895320448[/C][/ROW]
[ROW][C]Winsorized Mean ( 61 / 74 )[/C][C]2.08214285714286[/C][C]0.0305731378281298[/C][C]68.1036689412729[/C][/ROW]
[ROW][C]Winsorized Mean ( 62 / 74 )[/C][C]2.09044642857143[/C][C]0.0290219863518504[/C][C]72.0297502461662[/C][/ROW]
[ROW][C]Winsorized Mean ( 63 / 74 )[/C][C]2.08200892857143[/C][C]0.0283509355077616[/C][C]73.4370450668706[/C][/ROW]
[ROW][C]Winsorized Mean ( 64 / 74 )[/C][C]2.08200892857143[/C][C]0.0278999496513126[/C][C]74.6241106020589[/C][/ROW]
[ROW][C]Winsorized Mean ( 65 / 74 )[/C][C]2.08200892857143[/C][C]0.0278999496513126[/C][C]74.6241106020589[/C][/ROW]
[ROW][C]Winsorized Mean ( 66 / 74 )[/C][C]2.08200892857143[/C][C]0.0274367378389409[/C][C]75.883982301148[/C][/ROW]
[ROW][C]Winsorized Mean ( 67 / 74 )[/C][C]2.08799107142857[/C][C]0.026968316932213[/C][C]77.4238554329105[/C][/ROW]
[ROW][C]Winsorized Mean ( 68 / 74 )[/C][C]2.08495535714286[/C][C]0.0267307677341549[/C][C]77.9983342745082[/C][/ROW]
[ROW][C]Winsorized Mean ( 69 / 74 )[/C][C]2.081875[/C][C]0.0260123398823156[/C][C]80.0341303173328[/C][/ROW]
[ROW][C]Winsorized Mean ( 70 / 74 )[/C][C]2.085[/C][C]0.0257696237956658[/C][C]80.9092137523045[/C][/ROW]
[ROW][C]Winsorized Mean ( 71 / 74 )[/C][C]2.09133928571429[/C][C]0.0252816447127698[/C][C]82.721646849896[/C][/ROW]
[ROW][C]Winsorized Mean ( 72 / 74 )[/C][C]2.09455357142857[/C][C]0.0240498308878454[/C][C]87.0922369972732[/C][/ROW]
[ROW][C]Winsorized Mean ( 73 / 74 )[/C][C]2.0978125[/C][C]0.0233084988185101[/C][C]90.00204244531[/C][/ROW]
[ROW][C]Winsorized Mean ( 74 / 74 )[/C][C]2.10441964285714[/C][C]0.0223200526081352[/C][C]94.2838119516855[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 74 )[/C][C]2.10990990990991[/C][C]0.0644255396638944[/C][C]32.7495884538528[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 74 )[/C][C]2.10772727272727[/C][C]0.061074824240483[/C][C]34.5105745114888[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 74 )[/C][C]2.10559633027523[/C][C]0.0581824536531338[/C][C]36.1895416585240[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 74 )[/C][C]2.10185185185185[/C][C]0.0555338315263573[/C][C]37.8481331844405[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 74 )[/C][C]2.09518691588785[/C][C]0.0535523526240979[/C][C]39.1240872384203[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 74 )[/C][C]2.09061320754717[/C][C]0.0520286869731783[/C][C]40.1819328753177[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 74 )[/C][C]2.08685714285714[/C][C]0.0508565783682298[/C][C]41.0341633239095[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 74 )[/C][C]2.08413461538462[/C][C]0.0498553379769398[/C][C]41.8036402912084[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 74 )[/C][C]2.08213592233010[/C][C]0.0489579454365005[/C][C]42.5290706904903[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 74 )[/C][C]2.08049019607843[/C][C]0.048109621340404[/C][C]43.2447842679479[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 74 )[/C][C]2.07896039603960[/C][C]0.0472839681992404[/C][C]43.9675533846798[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 74 )[/C][C]2.07785[/C][C]0.0466320396628281[/C][C]44.5584198122974[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 74 )[/C][C]2.07681818181818[/C][C]0.0459559498557384[/C][C]45.1914972563417[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 74 )[/C][C]2.07576530612245[/C][C]0.0453655382049161[/C][C]45.7564351324615[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 74 )[/C][C]2.075[/C][C]0.0448199842919896[/C][C]46.2963125217082[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 74 )[/C][C]2.07463541666667[/C][C]0.0443365303713534[/C][C]46.7929131867099[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 74 )[/C][C]2.07452631578947[/C][C]0.0438926398897562[/C][C]47.2636487802966[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 74 )[/C][C]2.07462765957447[/C][C]0.0434969700283049[/C][C]47.6959121112216[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 74 )[/C][C]2.07467741935484[/C][C]0.0431288057661101[/C][C]48.1042167178459[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 74 )[/C][C]2.07472826086957[/C][C]0.0427819100488123[/C][C]48.4954565727054[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 74 )[/C][C]2.07467032967033[/C][C]0.0424574235658678[/C][C]48.8647250686731[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 74 )[/C][C]2.07455555555556[/C][C]0.0421180630684391[/C][C]49.2557208099656[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 74 )[/C][C]2.07438202247191[/C][C]0.0417627909265622[/C][C]49.6705793949357[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 74 )[/C][C]2.07403409090909[/C][C]0.0414543387494135[/C][C]50.0317735966404[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 74 )[/C][C]2.07362068965517[/C][C]0.0411473459450015[/C][C]50.3950046359448[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 74 )[/C][C]2.07319767441860[/C][C]0.0408341311169744[/C][C]50.7711959997305[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 74 )[/C][C]2.07276470588235[/C][C]0.0405309353554524[/C][C]51.1403126452525[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 74 )[/C][C]2.07279761904762[/C][C]0.040304827028563[/C][C]51.4280241812893[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 74 )[/C][C]2.07289156626506[/C][C]0.0401007366274576[/C][C]51.6921069436345[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 74 )[/C][C]2.07304878048781[/C][C]0.0398874649633929[/C][C]51.9724375161561[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 74 )[/C][C]2.07320987654321[/C][C]0.0396561068658427[/C][C]52.2797127705176[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 74 )[/C][C]2.073375[/C][C]0.0394395572403452[/C][C]52.5709502103389[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 74 )[/C][C]2.07360759493671[/C][C]0.0392127251831577[/C][C]52.8809865994048[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 74 )[/C][C]2.07384615384615[/C][C]0.0389839378111809[/C][C]53.1974518297985[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 74 )[/C][C]2.07415584415584[/C][C]0.0387438247951167[/C][C]53.5351337954964[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 74 )[/C][C]2.07440789473684[/C][C]0.0384920462232440[/C][C]53.8918581440387[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 74 )[/C][C]2.07453333333333[/C][C]0.0382563573014296[/C][C]54.2271528098628[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 74 )[/C][C]2.07472972972973[/C][C]0.0380086023330783[/C][C]54.5857938039496[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 74 )[/C][C]2.075[/C][C]0.0377477956887231[/C][C]54.9700972504705[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 74 )[/C][C]2.07534722222222[/C][C]0.0374728486522633[/C][C]55.3826916517828[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 74 )[/C][C]2.07577464788732[/C][C]0.0372035042520879[/C][C]55.7951378402971[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 74 )[/C][C]2.07635714285714[/C][C]0.0369501776603219[/C][C]56.1934278623724[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 74 )[/C][C]2.07695652173913[/C][C]0.0366720434055837[/C][C]56.6359637713259[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 74 )[/C][C]2.07764705882353[/C][C]0.0363773845947961[/C][C]57.1137007777284[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 74 )[/C][C]2.07835820895522[/C][C]0.0360770124200749[/C][C]57.6089334880382[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 74 )[/C][C]2.07909090909091[/C][C]0.0357467922279106[/C][C]58.161607783861[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 74 )[/C][C]2.07976923076923[/C][C]0.0353969677177157[/C][C]58.7555761090895[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 74 )[/C][C]2.080546875[/C][C]0.0350241249451166[/C][C]59.4032507096253[/C][/ROW]
[ROW][C]Trimmed Mean ( 49 / 74 )[/C][C]2.08111111111111[/C][C]0.0346557166263426[/C][C]60.0510193902385[/C][/ROW]
[ROW][C]Trimmed Mean ( 50 / 74 )[/C][C]2.08145161290323[/C][C]0.0343182628084098[/C][C]60.6514270411484[/C][/ROW]
[ROW][C]Trimmed Mean ( 51 / 74 )[/C][C]2.08204918032787[/C][C]0.0339841724049513[/C][C]61.2652606489404[/C][/ROW]
[ROW][C]Trimmed Mean ( 52 / 74 )[/C][C]2.08266666666667[/C][C]0.0336418634539963[/C][C]61.9069948225258[/C][/ROW]
[ROW][C]Trimmed Mean ( 53 / 74 )[/C][C]2.08296610169492[/C][C]0.0333214471032823[/C][C]62.5112737522654[/C][/ROW]
[ROW][C]Trimmed Mean ( 54 / 74 )[/C][C]2.08301724137931[/C][C]0.0330374418067323[/C][C]63.0501978199424[/C][/ROW]
[ROW][C]Trimmed Mean ( 55 / 74 )[/C][C]2.08315789473684[/C][C]0.0327344862320389[/C][C]63.6380201592396[/C][/ROW]
[ROW][C]Trimmed Mean ( 56 / 74 )[/C][C]2.08339285714286[/C][C]0.0324405588418297[/C][C]64.2218547251559[/C][/ROW]
[ROW][C]Trimmed Mean ( 57 / 74 )[/C][C]2.08354545454545[/C][C]0.0321266224900957[/C][C]64.8541705617448[/C][/ROW]
[ROW][C]Trimmed Mean ( 58 / 74 )[/C][C]2.08379629629630[/C][C]0.031821835927929[/C][C]65.483220421843[/C][/ROW]
[ROW][C]Trimmed Mean ( 59 / 74 )[/C][C]2.08415094339623[/C][C]0.031494624514461[/C][C]66.1748147668588[/C][/ROW]
[ROW][C]Trimmed Mean ( 60 / 74 )[/C][C]2.08442307692308[/C][C]0.0311773657519835[/C][C]66.856933761008[/C][/ROW]
[ROW][C]Trimmed Mean ( 61 / 74 )[/C][C]2.08442307692308[/C][C]0.0308186704153934[/C][C]67.6350747396923[/C][/ROW]
[ROW][C]Trimmed Mean ( 62 / 74 )[/C][C]2.0848[/C][C]0.030450648929079[/C][C]68.4648791838755[/C][/ROW]
[ROW][C]Trimmed Mean ( 63 / 74 )[/C][C]2.08459183673469[/C][C]0.0301637191859754[/C][C]69.1092442507529[/C][/ROW]
[ROW][C]Trimmed Mean ( 64 / 74 )[/C][C]2.0846875[/C][C]0.0298919667100353[/C][C]69.740727340638[/C][/ROW]
[ROW][C]Trimmed Mean ( 65 / 74 )[/C][C]2.08478723404255[/C][C]0.0296180709040438[/C][C]70.3890284008305[/C][/ROW]
[ROW][C]Trimmed Mean ( 66 / 74 )[/C][C]2.08489130434783[/C][C]0.0293024879396911[/C][C]71.1506582184708[/C][/ROW]
[ROW][C]Trimmed Mean ( 67 / 74 )[/C][C]2.085[/C][C]0.0289811381253601[/C][C]71.9433443566356[/C][/ROW]
[ROW][C]Trimmed Mean ( 68 / 74 )[/C][C]2.08488636363636[/C][C]0.0286536055265366[/C][C]72.7617458719291[/C][/ROW]
[ROW][C]Trimmed Mean ( 69 / 74 )[/C][C]2.08488372093023[/C][C]0.0282972033083927[/C][C]73.6780839508572[/C][/ROW]
[ROW][C]Trimmed Mean ( 70 / 74 )[/C][C]2.085[/C][C]0.0279545057009511[/C][C]74.5854719201513[/C][/ROW]
[ROW][C]Trimmed Mean ( 71 / 74 )[/C][C]2.085[/C][C]0.0275799186379271[/C][C]75.5984826268767[/C][/ROW]
[ROW][C]Trimmed Mean ( 72 / 74 )[/C][C]2.08475[/C][C]0.0271936183643669[/C][C]76.6632072299633[/C][/ROW]
[ROW][C]Trimmed Mean ( 73 / 74 )[/C][C]2.08435897435897[/C][C]0.0268718730377899[/C][C]77.5665682636913[/C][/ROW]
[ROW][C]Trimmed Mean ( 74 / 74 )[/C][C]2.08381578947368[/C][C]0.0265699785110829[/C][C]78.4274548285569[/C][/ROW]
[ROW][C]Median[/C][C]2.055[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]2.115[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]2.08315789473684[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]2.08858407079646[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]2.08315789473684[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]2.08858407079646[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]2.08858407079646[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]2.08315789473684[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]2.08858407079646[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]2.08315789473684[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]224[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=46920&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=46920&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
Measure	Value	S.E.	Value/S.E.
Arithmetic Mean	2.10995535714286	0.0682153442484514	30.9308027451721
Geometric Mean	NaN
Harmonic Mean	1.86850864882622
Quadratic Mean	2.34299059125603
Winsorized Mean ( 1 / 74 )	2.11205357142857	0.0674947585214853	31.2921124202
Winsorized Mean ( 2 / 74 )	2.111875	0.0661933119156359	31.9046583239649
Winsorized Mean ( 3 / 74 )	2.11642857142857	0.0649714036257521	32.5747706424754
Winsorized Mean ( 4 / 74 )	2.12732142857143	0.0621640221363217	34.2211033884897
Winsorized Mean ( 5 / 74 )	2.11683035714286	0.0598223750696012	35.3852610278345
Winsorized Mean ( 6 / 74 )	2.11174107142857	0.0577171589673691	36.5877515319571
Winsorized Mean ( 7 / 74 )	2.10455357142857	0.0564055443121937	37.3111118258212
Winsorized Mean ( 8 / 74 )	2.09883928571429	0.0554062543688704	37.8809091071405
Winsorized Mean ( 9 / 74 )	2.095625	0.0547091547910698	38.3048323082862
Winsorized Mean ( 10 / 74 )	2.09428571428571	0.0541608139922872	38.6679143076386
Winsorized Mean ( 11 / 74 )	2.08986607142857	0.0524229736001068	39.8654621801979
Winsorized Mean ( 12 / 74 )	2.08879464285714	0.052281579165617	39.9527840626291
Winsorized Mean ( 13 / 74 )	2.08879464285714	0.0511543897607972	40.8331455545564
Winsorized Mean ( 14 / 74 )	2.08504464285714	0.0503916037872818	41.376826418519
Winsorized Mean ( 15 / 74 )	2.0796875	0.0494446816956694	42.0608936831754
Winsorized Mean ( 16 / 74 )	2.07611607142857	0.0487173158274328	42.6155677127743
Winsorized Mean ( 17 / 74 )	2.07308035714286	0.0478857893109913	43.2921830666582
Winsorized Mean ( 18 / 74 )	2.07388392857143	0.0472823499356121	43.8616932406192
Winsorized Mean ( 19 / 74 )	2.07388392857143	0.0467459537978580	44.3649933326734
Winsorized Mean ( 20 / 74 )	2.07566964285714	0.0461902390958485	44.9374084977122
Winsorized Mean ( 21 / 74 )	2.07660714285714	0.0460944697410276	45.0511125200949
Winsorized Mean ( 22 / 74 )	2.07758928571429	0.0459947917085778	45.1700987989652
Winsorized Mean ( 23 / 74 )	2.08066964285714	0.0450651708741052	46.1702375137938
Winsorized Mean ( 24 / 74 )	2.08174107142857	0.0447478121439122	46.5216280235901
Winsorized Mean ( 25 / 74 )	2.08174107142857	0.0445269329899769	46.7524020101986
Winsorized Mean ( 26 / 74 )	2.08174107142857	0.0440710447612687	47.236027253388
Winsorized Mean ( 27 / 74 )	2.07209821428571	0.0426671060589722	48.564301769653
Winsorized Mean ( 28 / 74 )	2.07084821428571	0.0420806217202301	49.2114453073815
Winsorized Mean ( 29 / 74 )	2.06955357142857	0.0419611417273329	49.32071641131
Winsorized Mean ( 30 / 74 )	2.06955357142857	0.0419611417273329	49.32071641131
Winsorized Mean ( 31 / 74 )	2.06955357142857	0.0414492512109902	49.9298180537417
Winsorized Mean ( 32 / 74 )	2.068125	0.0413198170880853	50.0516494444103
Winsorized Mean ( 33 / 74 )	2.068125	0.0410503346487673	50.3802226631081
Winsorized Mean ( 34 / 74 )	2.06660714285714	0.0409145385903442	50.510337255639
Winsorized Mean ( 35 / 74 )	2.06816964285714	0.0407700220502944	50.7277047901967
Winsorized Mean ( 36 / 74 )	2.07138392857143	0.0401861138509242	51.5447683310585
Winsorized Mean ( 37 / 74 )	2.06973214285714	0.0400394144199217	51.6923679539964
Winsorized Mean ( 38 / 74 )	2.06803571428571	0.0398897763941597	51.8437529920197
Winsorized Mean ( 39 / 74 )	2.06629464285714	0.0397372416948364	51.9989449374803
Winsorized Mean ( 40 / 74 )	2.06450892857143	0.0392649842617104	52.5788808372108
Winsorized Mean ( 41 / 74 )	2.06084821428571	0.0386296691426456	53.3488445545764
Winsorized Mean ( 42 / 74 )	2.06084821428571	0.0386296691426456	53.3488445545764
Winsorized Mean ( 43 / 74 )	2.05892857142857	0.0384677453703669	53.5235052536934
Winsorized Mean ( 44 / 74 )	2.05892857142857	0.038125034224878	54.0046353606955
Winsorized Mean ( 45 / 74 )	2.05892857142857	0.038125034224878	54.0046353606955
Winsorized Mean ( 46 / 74 )	2.06098214285714	0.0379398145873318	54.322409460201
Winsorized Mean ( 47 / 74 )	2.05888392857143	0.0377645539456801	54.5189526541977
Winsorized Mean ( 48 / 74 )	2.0653125	0.037189882042476	55.5342578833976
Winsorized Mean ( 49 / 74 )	2.071875	0.0362385009319067	57.1733086833013
Winsorized Mean ( 50 / 74 )	2.06517857142857	0.0356819580627072	57.8773891219546
Winsorized Mean ( 51 / 74 )	2.06517857142857	0.0352964568110134	58.5095150622650
Winsorized Mean ( 52 / 74 )	2.07446428571429	0.034497205237064	60.1342709201692
Winsorized Mean ( 53 / 74 )	2.0815625	0.0335051750537909	62.1265967617885
Winsorized Mean ( 54 / 74 )	2.07915178571429	0.0333062713642554	62.4252340640464
Winsorized Mean ( 55 / 74 )	2.07669642857143	0.0327000554896582	63.5074282741879
Winsorized Mean ( 56 / 74 )	2.07919642857143	0.0324926861125336	63.9896751339807
Winsorized Mean ( 57 / 74 )	2.07665178571429	0.0318696536632789	65.160789246576
Winsorized Mean ( 58 / 74 )	2.0740625	0.0316614341282042	65.5075348640766
Winsorized Mean ( 59 / 74 )	2.07669642857143	0.0310168126683616	66.953895320448
Winsorized Mean ( 60 / 74 )	2.07669642857143	0.0310168126683616	66.953895320448
Winsorized Mean ( 61 / 74 )	2.08214285714286	0.0305731378281298	68.1036689412729
Winsorized Mean ( 62 / 74 )	2.09044642857143	0.0290219863518504	72.0297502461662
Winsorized Mean ( 63 / 74 )	2.08200892857143	0.0283509355077616	73.4370450668706
Winsorized Mean ( 64 / 74 )	2.08200892857143	0.0278999496513126	74.6241106020589
Winsorized Mean ( 65 / 74 )	2.08200892857143	0.0278999496513126	74.6241106020589
Winsorized Mean ( 66 / 74 )	2.08200892857143	0.0274367378389409	75.883982301148
Winsorized Mean ( 67 / 74 )	2.08799107142857	0.026968316932213	77.4238554329105
Winsorized Mean ( 68 / 74 )	2.08495535714286	0.0267307677341549	77.9983342745082
Winsorized Mean ( 69 / 74 )	2.081875	0.0260123398823156	80.0341303173328
Winsorized Mean ( 70 / 74 )	2.085	0.0257696237956658	80.9092137523045
Winsorized Mean ( 71 / 74 )	2.09133928571429	0.0252816447127698	82.721646849896
Winsorized Mean ( 72 / 74 )	2.09455357142857	0.0240498308878454	87.0922369972732
Winsorized Mean ( 73 / 74 )	2.0978125	0.0233084988185101	90.00204244531
Winsorized Mean ( 74 / 74 )	2.10441964285714	0.0223200526081352	94.2838119516855
Trimmed Mean ( 1 / 74 )	2.10990990990991	0.0644255396638944	32.7495884538528
Trimmed Mean ( 2 / 74 )	2.10772727272727	0.061074824240483	34.5105745114888
Trimmed Mean ( 3 / 74 )	2.10559633027523	0.0581824536531338	36.1895416585240
Trimmed Mean ( 4 / 74 )	2.10185185185185	0.0555338315263573	37.8481331844405
Trimmed Mean ( 5 / 74 )	2.09518691588785	0.0535523526240979	39.1240872384203
Trimmed Mean ( 6 / 74 )	2.09061320754717	0.0520286869731783	40.1819328753177
Trimmed Mean ( 7 / 74 )	2.08685714285714	0.0508565783682298	41.0341633239095
Trimmed Mean ( 8 / 74 )	2.08413461538462	0.0498553379769398	41.8036402912084
Trimmed Mean ( 9 / 74 )	2.08213592233010	0.0489579454365005	42.5290706904903
Trimmed Mean ( 10 / 74 )	2.08049019607843	0.048109621340404	43.2447842679479
Trimmed Mean ( 11 / 74 )	2.07896039603960	0.0472839681992404	43.9675533846798
Trimmed Mean ( 12 / 74 )	2.07785	0.0466320396628281	44.5584198122974
Trimmed Mean ( 13 / 74 )	2.07681818181818	0.0459559498557384	45.1914972563417
Trimmed Mean ( 14 / 74 )	2.07576530612245	0.0453655382049161	45.7564351324615
Trimmed Mean ( 15 / 74 )	2.075	0.0448199842919896	46.2963125217082
Trimmed Mean ( 16 / 74 )	2.07463541666667	0.0443365303713534	46.7929131867099
Trimmed Mean ( 17 / 74 )	2.07452631578947	0.0438926398897562	47.2636487802966
Trimmed Mean ( 18 / 74 )	2.07462765957447	0.0434969700283049	47.6959121112216
Trimmed Mean ( 19 / 74 )	2.07467741935484	0.0431288057661101	48.1042167178459
Trimmed Mean ( 20 / 74 )	2.07472826086957	0.0427819100488123	48.4954565727054
Trimmed Mean ( 21 / 74 )	2.07467032967033	0.0424574235658678	48.8647250686731
Trimmed Mean ( 22 / 74 )	2.07455555555556	0.0421180630684391	49.2557208099656
Trimmed Mean ( 23 / 74 )	2.07438202247191	0.0417627909265622	49.6705793949357
Trimmed Mean ( 24 / 74 )	2.07403409090909	0.0414543387494135	50.0317735966404
Trimmed Mean ( 25 / 74 )	2.07362068965517	0.0411473459450015	50.3950046359448
Trimmed Mean ( 26 / 74 )	2.07319767441860	0.0408341311169744	50.7711959997305
Trimmed Mean ( 27 / 74 )	2.07276470588235	0.0405309353554524	51.1403126452525
Trimmed Mean ( 28 / 74 )	2.07279761904762	0.040304827028563	51.4280241812893
Trimmed Mean ( 29 / 74 )	2.07289156626506	0.0401007366274576	51.6921069436345
Trimmed Mean ( 30 / 74 )	2.07304878048781	0.0398874649633929	51.9724375161561
Trimmed Mean ( 31 / 74 )	2.07320987654321	0.0396561068658427	52.2797127705176
Trimmed Mean ( 32 / 74 )	2.073375	0.0394395572403452	52.5709502103389
Trimmed Mean ( 33 / 74 )	2.07360759493671	0.0392127251831577	52.8809865994048
Trimmed Mean ( 34 / 74 )	2.07384615384615	0.0389839378111809	53.1974518297985
Trimmed Mean ( 35 / 74 )	2.07415584415584	0.0387438247951167	53.5351337954964
Trimmed Mean ( 36 / 74 )	2.07440789473684	0.0384920462232440	53.8918581440387
Trimmed Mean ( 37 / 74 )	2.07453333333333	0.0382563573014296	54.2271528098628
Trimmed Mean ( 38 / 74 )	2.07472972972973	0.0380086023330783	54.5857938039496
Trimmed Mean ( 39 / 74 )	2.075	0.0377477956887231	54.9700972504705
Trimmed Mean ( 40 / 74 )	2.07534722222222	0.0374728486522633	55.3826916517828
Trimmed Mean ( 41 / 74 )	2.07577464788732	0.0372035042520879	55.7951378402971
Trimmed Mean ( 42 / 74 )	2.07635714285714	0.0369501776603219	56.1934278623724
Trimmed Mean ( 43 / 74 )	2.07695652173913	0.0366720434055837	56.6359637713259
Trimmed Mean ( 44 / 74 )	2.07764705882353	0.0363773845947961	57.1137007777284
Trimmed Mean ( 45 / 74 )	2.07835820895522	0.0360770124200749	57.6089334880382
Trimmed Mean ( 46 / 74 )	2.07909090909091	0.0357467922279106	58.161607783861
Trimmed Mean ( 47 / 74 )	2.07976923076923	0.0353969677177157	58.7555761090895
Trimmed Mean ( 48 / 74 )	2.080546875	0.0350241249451166	59.4032507096253
Trimmed Mean ( 49 / 74 )	2.08111111111111	0.0346557166263426	60.0510193902385
Trimmed Mean ( 50 / 74 )	2.08145161290323	0.0343182628084098	60.6514270411484
Trimmed Mean ( 51 / 74 )	2.08204918032787	0.0339841724049513	61.2652606489404
Trimmed Mean ( 52 / 74 )	2.08266666666667	0.0336418634539963	61.9069948225258
Trimmed Mean ( 53 / 74 )	2.08296610169492	0.0333214471032823	62.5112737522654
Trimmed Mean ( 54 / 74 )	2.08301724137931	0.0330374418067323	63.0501978199424
Trimmed Mean ( 55 / 74 )	2.08315789473684	0.0327344862320389	63.6380201592396
Trimmed Mean ( 56 / 74 )	2.08339285714286	0.0324405588418297	64.2218547251559
Trimmed Mean ( 57 / 74 )	2.08354545454545	0.0321266224900957	64.8541705617448
Trimmed Mean ( 58 / 74 )	2.08379629629630	0.031821835927929	65.483220421843
Trimmed Mean ( 59 / 74 )	2.08415094339623	0.031494624514461	66.1748147668588
Trimmed Mean ( 60 / 74 )	2.08442307692308	0.0311773657519835	66.856933761008
Trimmed Mean ( 61 / 74 )	2.08442307692308	0.0308186704153934	67.6350747396923
Trimmed Mean ( 62 / 74 )	2.0848	0.030450648929079	68.4648791838755
Trimmed Mean ( 63 / 74 )	2.08459183673469	0.0301637191859754	69.1092442507529
Trimmed Mean ( 64 / 74 )	2.0846875	0.0298919667100353	69.740727340638
Trimmed Mean ( 65 / 74 )	2.08478723404255	0.0296180709040438	70.3890284008305
Trimmed Mean ( 66 / 74 )	2.08489130434783	0.0293024879396911	71.1506582184708
Trimmed Mean ( 67 / 74 )	2.085	0.0289811381253601	71.9433443566356
Trimmed Mean ( 68 / 74 )	2.08488636363636	0.0286536055265366	72.7617458719291
Trimmed Mean ( 69 / 74 )	2.08488372093023	0.0282972033083927	73.6780839508572
Trimmed Mean ( 70 / 74 )	2.085	0.0279545057009511	74.5854719201513
Trimmed Mean ( 71 / 74 )	2.085	0.0275799186379271	75.5984826268767
Trimmed Mean ( 72 / 74 )	2.08475	0.0271936183643669	76.6632072299633
Trimmed Mean ( 73 / 74 )	2.08435897435897	0.0268718730377899	77.5665682636913
Trimmed Mean ( 74 / 74 )	2.08381578947368	0.0265699785110829	78.4274548285569
Median	2.055
Midrange	2.115
Midmean - Weighted Average at Xnp	2.08315789473684
Midmean - Weighted Average at X(n+1)p	2.08858407079646
Midmean - Empirical Distribution Function	2.08315789473684
Midmean - Empirical Distribution Function - Averaging	2.08858407079646
Midmean - Empirical Distribution Function - Interpolation	2.08858407079646
Midmean - Closest Observation	2.08315789473684
Midmean - True Basic - Statistics Graphics Toolkit	2.08858407079646
Midmean - MS Excel (old versions)	2.08315789473684
Number of observations	224

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code