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*Unverified author*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Fri, 12 Mar 2010 05:22:25 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Mar/12/t1268396674rrc1f7fgxzdgmy7.htm/, Retrieved Fri, 12 Mar 2010 13:24:36 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Mar/12/t1268396674rrc1f7fgxzdgmy7.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
KDGP1W51
 
Dataseries X:
» Textbox « » Textfile « » CSV «
20 25 15 15 25 25 25 21 30 25 20 40 13 30 25 20 25 20 25 20 20 15 15 12 20 5 20 15 25 22 20 22 25 20 20 35 30 25 20 20 20 25 25 15 20 35 25 25 30 23 10 22 25 25 22 30 20 25 25 22 25 25 25 22 25 12 18 20 20 22 30 25 22 20 50 30 25 20 30 22 25 30 22 25 22 22 25 25 25 20 22 15 20 30 20 25 30 35 22 12 30 15 10 30 9 25 20 20 35 25 35 30 12 25 15 25 25 20 20 6 15 40 20 40 25 25 20 15 15 22 24 22 20 25 25 25 35 40 20 22 22 20 25 25 18 25 20 25 30 20 22 35 22 25 25 25 25 22 23 35 15 25 18 22 25 25 28 30 20 25 25 30 22 30 10 10 25 20 22 25 25 15 22 25 25 28 22 30 25 20 25 25 20 30 20 30 50 19 20 28 20 25 35 25 25 15 16 20 20 25 30 20 25 25 25 20 20 25 25 30 22 20 25 25 18 18 20 25 25 30 25 20 25 20 20 20 22 18 22 20 15 25 25 20 25 15 22 25 25 15 12 25 30 22 15 22 25 etc...
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time9 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean23.16555555555560.231224466059261100.186437665374
Geometric Mean22.1695841863897
Harmonic Mean21.0836686668612
Quadratic Mean24.180731539343
Winsorized Mean ( 1 / 300 )23.14888888888890.228454337049623101.328296883507
Winsorized Mean ( 2 / 300 )23.14888888888890.228454337049623101.328296883507
Winsorized Mean ( 3 / 300 )23.15222222222220.228167687955943101.470205661604
Winsorized Mean ( 4 / 300 )23.16111111111110.227466469606653101.822088992556
Winsorized Mean ( 5 / 300 )23.16666666666670.227067738253436102.025355274424
Winsorized Mean ( 6 / 300 )23.16666666666670.227067738253436102.025355274424
Winsorized Mean ( 7 / 300 )23.16666666666670.227067738253436102.025355274424
Winsorized Mean ( 8 / 300 )23.17555555555560.226471655468661102.333139692894
Winsorized Mean ( 9 / 300 )23.17555555555560.226471655468661102.333139692894
Winsorized Mean ( 10 / 300 )23.17555555555560.226471655468661102.333139692894
Winsorized Mean ( 11 / 300 )23.17555555555560.226471655468661102.333139692894
Winsorized Mean ( 12 / 300 )23.17555555555560.226471655468661102.333139692894
Winsorized Mean ( 13 / 300 )23.17555555555560.226471655468661102.333139692894
Winsorized Mean ( 14 / 300 )23.17555555555560.226471655468661102.333139692894
Winsorized Mean ( 15 / 300 )23.17555555555560.226471655468661102.333139692894
Winsorized Mean ( 16 / 300 )23.17555555555560.226471655468661102.333139692894
Winsorized Mean ( 17 / 300 )22.98666666666670.205130824831394112.058568894073
Winsorized Mean ( 18 / 300 )22.98666666666670.205130824831394112.058568894073
Winsorized Mean ( 19 / 300 )22.98666666666670.205130824831394112.058568894073
Winsorized Mean ( 20 / 300 )22.98666666666670.205130824831394112.058568894073
Winsorized Mean ( 21 / 300 )22.98666666666670.205130824831394112.058568894073
Winsorized Mean ( 22 / 300 )22.98666666666670.205130824831394112.058568894073
Winsorized Mean ( 23 / 300 )22.98666666666670.205130824831394112.058568894073
Winsorized Mean ( 24 / 300 )22.98666666666670.205130824831394112.058568894073
Winsorized Mean ( 25 / 300 )23.04222222222220.201478883867794114.365445052505
Winsorized Mean ( 26 / 300 )23.04222222222220.201478883867794114.365445052505
Winsorized Mean ( 27 / 300 )23.04222222222220.201478883867794114.365445052505
Winsorized Mean ( 28 / 300 )23.04222222222220.201478883867794114.365445052505
Winsorized Mean ( 29 / 300 )23.04222222222220.201478883867794114.365445052505
Winsorized Mean ( 30 / 300 )23.04222222222220.201478883867794114.365445052505
Winsorized Mean ( 31 / 300 )23.04222222222220.201478883867794114.365445052505
Winsorized Mean ( 32 / 300 )23.04222222222220.201478883867794114.365445052505
Winsorized Mean ( 33 / 300 )23.04222222222220.201478883867794114.365445052505
Winsorized Mean ( 34 / 300 )23.04222222222220.201478883867794114.365445052505
Winsorized Mean ( 35 / 300 )23.04222222222220.201478883867794114.365445052505
Winsorized Mean ( 36 / 300 )23.04222222222220.201478883867794114.365445052505
Winsorized Mean ( 37 / 300 )22.960.194080486395733118.301434762401
Winsorized Mean ( 38 / 300 )22.83333333333330.183939907325353124.134744141986
Winsorized Mean ( 39 / 300 )22.83333333333330.183939907325353124.134744141986
Winsorized Mean ( 40 / 300 )22.83333333333330.183939907325353124.134744141986
Winsorized Mean ( 41 / 300 )22.83333333333330.183939907325353124.134744141986
Winsorized Mean ( 42 / 300 )22.83333333333330.183939907325353124.134744141986
Winsorized Mean ( 43 / 300 )22.83333333333330.183939907325353124.134744141986
Winsorized Mean ( 44 / 300 )22.83333333333330.183939907325353124.134744141986
Winsorized Mean ( 45 / 300 )22.83333333333330.183939907325353124.134744141986
Winsorized Mean ( 46 / 300 )22.83333333333330.183939907325353124.134744141986
Winsorized Mean ( 47 / 300 )22.83333333333330.183939907325353124.134744141986
Winsorized Mean ( 48 / 300 )22.83333333333330.183939907325353124.134744141986
Winsorized Mean ( 49 / 300 )22.83333333333330.183939907325353124.134744141986
Winsorized Mean ( 50 / 300 )22.88888888888890.180425378283576126.860695023259
Winsorized Mean ( 51 / 300 )23.00222222222220.174062794211472132.148988682075
Winsorized Mean ( 52 / 300 )23.00222222222220.174062794211472132.148988682075
Winsorized Mean ( 53 / 300 )23.00222222222220.174062794211472132.148988682075
Winsorized Mean ( 54 / 300 )23.00222222222220.174062794211472132.148988682075
Winsorized Mean ( 55 / 300 )23.00222222222220.174062794211472132.148988682075
Winsorized Mean ( 56 / 300 )23.00222222222220.174062794211472132.148988682075
Winsorized Mean ( 57 / 300 )23.00222222222220.174062794211472132.148988682075
Winsorized Mean ( 58 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 59 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 60 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 61 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 62 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 63 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 64 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 65 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 66 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 67 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 68 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 69 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 70 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 71 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 72 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 73 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 74 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 75 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 76 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 77 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 78 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 79 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 80 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 81 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 82 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 83 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 84 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 85 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 86 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 87 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 88 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 89 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 90 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 91 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 92 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 93 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 94 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 95 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 96 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 97 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 98 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 99 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 100 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 101 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 102 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 103 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 104 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 105 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 106 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 107 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 108 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 109 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 110 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 111 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 112 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 113 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 114 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 115 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 116 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 117 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 118 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 119 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 120 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 121 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 122 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 123 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 124 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 125 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 126 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 127 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 128 / 300 )22.680.152885321863578148.346484303037
Winsorized Mean ( 129 / 300 )22.82333333333330.145126021890073157.265616710841
Winsorized Mean ( 130 / 300 )22.82333333333330.145126021890073157.265616710841
Winsorized Mean ( 131 / 300 )22.82333333333330.145126021890073157.265616710841
Winsorized Mean ( 132 / 300 )23.11666666666670.131017853415980176.439058219581
Winsorized Mean ( 133 / 300 )23.11666666666670.131017853415980176.439058219581
Winsorized Mean ( 134 / 300 )23.11666666666670.131017853415980176.439058219581
Winsorized Mean ( 135 / 300 )23.11666666666670.131017853415980176.439058219581
Winsorized Mean ( 136 / 300 )23.11666666666670.131017853415980176.439058219581
Winsorized Mean ( 137 / 300 )23.11666666666670.131017853415980176.439058219581
Winsorized Mean ( 138 / 300 )22.810.114224451463227199.694546200936
Winsorized Mean ( 139 / 300 )22.810.114224451463227199.694546200936
Winsorized Mean ( 140 / 300 )22.810.114224451463227199.694546200936
Winsorized Mean ( 141 / 300 )22.810.114224451463227199.694546200936
Winsorized Mean ( 142 / 300 )22.49444444444440.0999751064196686225.000455113484
Winsorized Mean ( 143 / 300 )22.49444444444440.0999751064196686225.000455113484
Winsorized Mean ( 144 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 145 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 146 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 147 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 148 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 149 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 150 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 151 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 152 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 153 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 154 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 155 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 156 / 300 )22.33444444444440.0943224000067103236.788339173468
Winsorized Mean ( 157 / 300 )22.50888888888890.0858764989241449262.107668231458
Winsorized Mean ( 158 / 300 )22.50888888888890.0858764989241449262.107668231458
Winsorized Mean ( 159 / 300 )22.50888888888890.0858764989241449262.107668231458
Winsorized Mean ( 160 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 161 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 162 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 163 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 164 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 165 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 166 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 167 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 168 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 169 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 170 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 171 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 172 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 173 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 174 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 175 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 176 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 177 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 178 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 179 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 180 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 181 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 182 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 183 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 184 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 185 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 186 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 187 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 188 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 189 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 190 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 191 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 192 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 193 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 194 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 195 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 196 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 197 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 198 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 199 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 200 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 201 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 202 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 203 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 204 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 205 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 206 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 207 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 208 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 209 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 210 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 211 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 212 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 213 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 214 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 215 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 216 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 217 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 218 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 219 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 220 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 221 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 222 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 223 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 224 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 225 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 226 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 227 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 228 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 229 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 230 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 231 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 232 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 233 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 234 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 235 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 236 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 237 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 238 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 239 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 240 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 241 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 242 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 243 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 244 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 245 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 246 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 247 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 248 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 249 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 250 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 251 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 252 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 253 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 254 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 255 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 256 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 257 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 258 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 259 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 260 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 261 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 262 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 263 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 264 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 265 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 266 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 267 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 268 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 269 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 270 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 271 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 272 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 273 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 274 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 275 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 276 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 277 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 278 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 279 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 280 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 281 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 282 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 283 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 284 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 285 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 286 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 287 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 288 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 289 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 290 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 291 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 292 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 293 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 294 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 295 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 296 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 297 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 298 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 299 / 300 )22.68666666666670.07841937464122289.299255068808
Winsorized Mean ( 300 / 300 )22.68666666666670.07841937464122289.299255068808
Trimmed Mean ( 1 / 300 )23.13919821826280.226097690695210102.341594675797
Trimmed Mean ( 2 / 300 )23.12946428571430.223693171452953103.398168730327
Trimmed Mean ( 3 / 300 )23.11968680089490.221238974624156104.500967065911
Trimmed Mean ( 4 / 300 )23.10874439461880.218834449288703105.599207390478
Trimmed Mean ( 5 / 300 )23.09550561797750.216567384461108106.643508095399
Trimmed Mean ( 6 / 300 )23.08108108108110.214339873337173107.684495291143
Trimmed Mean ( 7 / 300 )23.06659142212190.212066256539103108.770682326203
Trimmed Mean ( 8 / 300 )23.0520361990950.209744785120245109.905169684574
Trimmed Mean ( 9 / 300 )23.03628117913830.207457587046988111.040919288822
Trimmed Mean ( 10 / 300 )23.02045454545450.20512121481031112.228540410816
Trimmed Mean ( 11 / 300 )23.00455580865600.202733704074040113.471787602986
Trimmed Mean ( 12 / 300 )22.98858447488580.200292955191179114.774803002648
Trimmed Mean ( 13 / 300 )22.97254004576660.197796719437411116.142169147734
Trimmed Mean ( 14 / 300 )22.95642201834860.195242583368408117.578970848954
Trimmed Mean ( 15 / 300 )22.94022988505750.192627950977049119.090868011105
Trimmed Mean ( 16 / 300 )22.92396313364060.189950023258210120.684181767531
Trimmed Mean ( 17 / 300 )22.90762124711320.187205774703182122.365996900649
Trimmed Mean ( 18 / 300 )22.90277777777780.185992604313003123.138110046758
Trimmed Mean ( 19 / 300 )22.89791183294660.184758907214307123.934007719512
Trimmed Mean ( 20 / 300 )22.89302325581400.183504131646219124.754810970414
Trimmed Mean ( 21 / 300 )22.88811188811190.182227701692246125.601715192383
Trimmed Mean ( 22 / 300 )22.88317757009350.180929015735595126.475996550682
Trimmed Mean ( 23 / 300 )22.87822014051520.179607444782874127.379019105653
Trimmed Mean ( 24 / 300 )22.87323943661970.178262330642082128.312242716858
Trimmed Mean ( 25 / 300 )22.86823529411760.176892983938995129.277231831898
Trimmed Mean ( 26 / 300 )22.86084905660380.175686788169174130.122755927386
Trimmed Mean ( 27 / 300 )22.85342789598110.174459331613364130.995732269735
Trimmed Mean ( 28 / 300 )22.84597156398100.173210015619431131.897520373055
Trimmed Mean ( 29 / 300 )22.83847980997620.171938213999183132.829574524281
Trimmed Mean ( 30 / 300 )22.83095238095240.170643271175976133.793452408726
Trimmed Mean ( 31 / 300 )22.82338902147970.169324500166151134.790824712810
Trimmed Mean ( 32 / 300 )22.81578947368420.167981180375534135.823485837389
Trimmed Mean ( 33 / 300 )22.80815347721820.166612555189728136.893365876573
Trimmed Mean ( 34 / 300 )22.80048076923080.165217829333872138.002544042360
Trimmed Mean ( 35 / 300 )22.79277108433730.163796165974145139.153263745716
Trimmed Mean ( 36 / 300 )22.78502415458940.162346683529196140.347949580946
Trimmed Mean ( 37 / 300 )22.77723970944310.160868452154942141.589226503559
Trimmed Mean ( 38 / 300 )22.77184466019420.159660554793468142.626616133529
Trimmed Mean ( 39 / 300 )22.77007299270070.158815170780559143.374671832598
Trimmed Mean ( 40 / 300 )22.76829268292680.157955947388315144.143307418200
Trimmed Mean ( 41 / 300 )22.76650366748170.157082550442859144.933371678119
Trimmed Mean ( 42 / 300 )22.76470588235290.156194633060185145.745762426941
Trimmed Mean ( 43 / 300 )22.76289926289930.155291834945605146.581430188346
Trimmed Mean ( 44 / 300 )22.76108374384240.154373781641765147.441382220337
Trimmed Mean ( 45 / 300 )22.75925925925930.153440083720500148.326686921760
Trimmed Mean ( 46 / 300 )22.75742574257430.152490335913249149.238478663467
Trimmed Mean ( 47 / 300 )22.75558312655090.151524116174168150.177963093311
Trimmed Mean ( 48 / 300 )22.75373134328360.150540984669396151.146422970815
Trimmed Mean ( 49 / 300 )22.75187032418950.149540482685154152.145224595080
Trimmed Mean ( 50 / 300 )22.750.148522131446501153.175824898492
Trimmed Mean ( 51 / 300 )22.74686716791980.147594636855119154.117166128797
Trimmed Mean ( 52 / 300 )22.74120603015080.146839099872078154.871597891585
Trimmed Mean ( 53 / 300 )22.73551637279600.146070742609168155.647297786579
Trimmed Mean ( 54 / 300 )22.72979797979800.145289252834578156.445143300981
Trimmed Mean ( 55 / 300 )22.72405063291140.144494306488590157.266062484655
Trimmed Mean ( 56 / 300 )22.71827411167510.143685567036277158.111037735191
Trimmed Mean ( 57 / 300 )22.71246819338420.142862684772993158.981109934159
Trimmed Mean ( 58 / 300 )22.70663265306120.142025296078334159.877382973645
Trimmed Mean ( 59 / 300 )22.70716112531970.141739965996218160.202953103048
Trimmed Mean ( 60 / 300 )22.70769230769230.141450178044506160.534914989980
Trimmed Mean ( 61 / 300 )22.70822622107970.141155856011142160.873426457683
Trimmed Mean ( 62 / 300 )22.70876288659790.140856921915698161.218650654521
Trimmed Mean ( 63 / 300 )22.70930232558140.140553295953906161.570756284711
Trimmed Mean ( 64 / 300 )22.70984455958550.140244896439925161.929917851331
Trimmed Mean ( 65 / 300 )22.71038961038960.139931639746218162.296315912381
Trimmed Mean ( 66 / 300 )22.71093750.139613440240926162.670137350734
Trimmed Mean ( 67 / 300 )22.71148825065270.139290210222607163.051575658880
Trimmed Mean ( 68 / 300 )22.71204188481680.138961859852192163.440831239411
Trimmed Mean ( 69 / 300 )22.71259842519690.138628297082017163.838111722308
Trimmed Mean ( 70 / 300 )22.71315789473680.138289427581782164.243632300124
Trimmed Mean ( 71 / 300 )22.71372031662270.137945154661247164.657616082282
Trimmed Mean ( 72 / 300 )22.71428571428570.137595379189509165.080294469784
Trimmed Mean ( 73 / 300 )22.71485411140580.137239999510657165.511907551720
Trimmed Mean ( 74 / 300 )22.71542553191490.136878911355602165.952704525110
Trimmed Mean ( 75 / 300 )22.7160.136512007749876166.402944139694
Trimmed Mean ( 76 / 300 )22.71657754010700.136139178917148166.862895169449
Trimmed Mean ( 77 / 300 )22.71715817694370.135760312178233167.332836912746
Trimmed Mean ( 78 / 300 )22.71774193548390.135375291845303167.813059723217
Trimmed Mean ( 79 / 300 )22.71832884097040.134983999111044168.303865573587
Trimmed Mean ( 80 / 300 )22.71891891891890.134586311932422168.805568654905
Trimmed Mean ( 81 / 300 )22.71951219512200.134182104908766169.318496013829
Trimmed Mean ( 82 / 300 )22.72010869565220.133771249153782169.842988230852
Trimmed Mean ( 83 / 300 )22.72070844686650.133353612161157170.379400142598
Trimmed Mean ( 84 / 300 )22.72131147540980.132929057663308170.928101611613
Trimmed Mean ( 85 / 300 )22.72191780821920.132497445482883171.489478347374
Trimmed Mean ( 86 / 300 )22.72252747252750.132058631376503172.063932782590
Trimmed Mean ( 87 / 300 )22.72314049586780.131612466870273172.651885009233
Trimmed Mean ( 88 / 300 )22.72375690607730.131158799086487173.253773779167
Trimmed Mean ( 89 / 300 )22.72437673130190.130697470560961173.8700575747
Trimmed Mean ( 90 / 300 )22.7250.130228319050338174.501215754893
Trimmed Mean ( 91 / 300 )22.72562674094710.129751177328681175.147749784030
Trimmed Mean ( 92 / 300 )22.72625698324020.129265872972611175.810184549294
Trimmed Mean ( 93 / 300 )22.72689075630250.128772228134165176.489069775386
Trimmed Mean ( 94 / 300 )22.72752808988760.128270059300511177.184981544615
Trimmed Mean ( 95 / 300 )22.72816901408450.127759177039545177.898523931862
Trimmed Mean ( 96 / 300 )22.72881355932200.127239385730344178.630330764806
Trimmed Mean ( 97 / 300 )22.72946175637390.126710483277326179.381067520885
Trimmed Mean ( 98 / 300 )22.73011363636360.126172260806896180.151433373708
Trimmed Mean ( 99 / 300 )22.73076923076920.125624502345212180.942163403010
Trimmed Mean ( 100 / 300 )22.73142857142860.125066984475607181.754030983789
Trimmed Mean ( 101 / 300 )22.73209169054440.124499475974039182.587850372034
Trimmed Mean ( 102 / 300 )22.73275862068970.123921737420810183.444479506404
Trimmed Mean ( 103 / 300 )22.73342939481270.123333520786600184.324823047479
Trimmed Mean ( 104 / 300 )22.73410404624280.122734568990686185.229835678715
Trimmed Mean ( 105 / 300 )22.73478260869570.122124615428986186.160525696113
Trimmed Mean ( 106 / 300 )22.73546511627910.121503383469343187.117958916885
Trimmed Mean ( 107 / 300 )22.73615160349850.120870585911190188.10326294111
Trimmed Mean ( 108 / 300 )22.73684210526320.120225924406412189.117631804631
Trimmed Mean ( 109 / 300 )22.73753665689150.119569088837929190.162331066278
Trimmed Mean ( 110 / 300 )22.73823529411760.118899756652090191.238703378103
Trimmed Mean ( 111 / 300 )22.73893805309730.118217592140558192.348174593687
Trimmed Mean ( 112 / 300 )22.73964497041420.117522245666894193.492260476946
Trimmed Mean ( 113 / 300 )22.74035608308610.116813352832451194.672574082376
Trimmed Mean ( 114 / 300 )22.74107142857140.116090533575599195.890833887521
Trimmed Mean ( 115 / 300 )22.74107142857140.115353391197561197.142634407894
Trimmed Mean ( 116 / 300 )22.74251497005990.114601511307321198.448647933381
Trimmed Mean ( 117 / 300 )22.74324324324320.113834460677154199.792251906436
Trimmed Mean ( 118 / 300 )22.74397590361450.113051785999209201.181924748838
Trimmed Mean ( 119 / 300 )22.74397590361450.112253012532377202.613501326341
Trimmed Mean ( 120 / 300 )22.74545454545450.111437642627244204.109257959966
Trimmed Mean ( 121 / 300 )22.74620060790270.110605154115263205.652266296728
Trimmed Mean ( 122 / 300 )22.74695121951220.109754998546392207.252075265597
Trimmed Mean ( 123 / 300 )22.74695121951220.108886599257204208.904965116791
Trimmed Mean ( 124 / 300 )22.74846625766870.107999349248909210.635216007087
Trimmed Mean ( 125 / 300 )22.74923076923080.107092608851648212.425778148186
Trimmed Mean ( 126 / 300 )22.750.106165703147917214.287659059754
Trimmed Mean ( 127 / 300 )22.75077399380800.105217919123709216.225279717412
Trimmed Mean ( 128 / 300 )22.75155279503110.104248502511049218.243449517366
Trimmed Mean ( 129 / 300 )22.75233644859810.103256654279651220.347411092537
Trimmed Mean ( 130 / 300 )22.75156250.102414828223519222.151058539542
Trimmed Mean ( 131 / 300 )22.75078369905960.101554268788597224.025872771723
Trimmed Mean ( 132 / 300 )22.750.100674322297244225.97619214987
Trimmed Mean ( 133 / 300 )22.74605678233440.100060969123896227.321971608831
Trimmed Mean ( 134 / 300 )22.74208860759490.0994347053835418228.713792833937
Trimmed Mean ( 135 / 300 )22.73809523809520.0987951454722555230.153972944761
Trimmed Mean ( 136 / 300 )22.7340764331210.0981418859284548231.644992533505
Trimmed Mean ( 137 / 300 )22.73003194888180.0974745042357365233.189510704363
Trimmed Mean ( 138 / 300 )22.72596153846150.0967925575183422234.790381834419
Trimmed Mean ( 139 / 300 )22.72508038585210.096433180631366235.656236132281
Trimmed Mean ( 140 / 300 )22.72419354838710.096066755185164236.545863390382
Trimmed Mean ( 141 / 300 )22.72330097087380.0956931114489594237.460153889906
Trimmed Mean ( 142 / 300 )22.72240259740260.095312073822326238.400044046466
Trimmed Mean ( 143 / 300 )22.72475570032570.0951625758047458238.799291718966
Trimmed Mean ( 144 / 300 )22.72712418300650.0950097597669591239.208311217204
Trimmed Mean ( 145 / 300 )22.73114754098360.094932125895664239.446313105497
Trimmed Mean ( 146 / 300 )22.73519736842110.0948520878032773239.691058941936
Trimmed Mean ( 147 / 300 )22.73927392739270.094769595152772239.942714651637
Trimmed Mean ( 148 / 300 )22.74337748344370.0946845963385868240.201451586852
Trimmed Mean ( 149 / 300 )22.74750830564780.0945970384465655240.467446753072
Trimmed Mean ( 150 / 300 )22.75166666666670.0945068672123223240.740883046647
Trimmed Mean ( 151 / 300 )22.75585284280940.0944140269779545241.021949504631
Trimmed Mean ( 152 / 300 )22.76006711409400.094318460647024241.310841567601
Trimmed Mean ( 153 / 300 )22.76430976430980.094220109637722241.607761356243
Trimmed Mean ( 154 / 300 )22.76858108108110.0941189138341279241.912917962565
Trimmed Mean ( 155 / 300 )22.77288135593220.0940148115354651242.226527756657
Trimmed Mean ( 156 / 300 )22.77721088435370.0939077394032553242.548814709985
Trimmed Mean ( 157 / 300 )22.78156996587030.093797632406262242.880010736277
Trimmed Mean ( 158 / 300 )22.78424657534250.0938186697758321242.854078295744
Trimmed Mean ( 159 / 300 )22.7869415807560.0938387504179438242.830829260475
Trimmed Mean ( 160 / 300 )22.78965517241380.093857852317474242.810320177878
Trimmed Mean ( 161 / 300 )22.79065743944640.0939810270745747242.502749213007
Trimmed Mean ( 162 / 300 )22.79166666666670.094104603120689242.195024588078
Trimmed Mean ( 163 / 300 )22.79268292682930.0942285814963617241.887148940147
Trimmed Mean ( 164 / 300 )22.79370629370630.0943529632196694241.579124978182
Trimmed Mean ( 165 / 300 )22.79473684210530.0944777492852155241.270955484884
Trimmed Mean ( 166 / 300 )22.79577464788730.09460294066309240.962643318563
Trimmed Mean ( 167 / 300 )22.79681978798590.094728538297793240.654191415059
Trimmed Mean ( 168 / 300 )22.79787234042550.0948545431071228240.345602789727
Trimmed Mean ( 169 / 300 )22.79893238434160.094980955981025240.036880539466
Trimmed Mean ( 170 / 300 )22.80.0951077777804034239.728027844825
Trimmed Mean ( 171 / 300 )22.80107526881720.095235009335889239.419047972148
Trimmed Mean ( 172 / 300 )22.80215827338130.0953626514465674239.1099442758
Trimmed Mean ( 173 / 300 )22.80324909747290.0954907048786636238.800720200444
Trimmed Mean ( 174 / 300 )22.80434782608700.0956191703641796238.491379283393
Trimmed Mean ( 175 / 300 )22.80545454545450.0957480485994875238.181925157027
Trimmed Mean ( 176 / 300 )22.80656934306570.0958773402438725237.872361551282
Trimmed Mean ( 177 / 300 )22.80769230769230.096007045918027237.562692296210
Trimmed Mean ( 178 / 300 )22.80882352941180.096137166202492237.25292132462
Trimmed Mean ( 179 / 300 )22.8099630996310.0962677016360458236.943052674794
Trimmed Mean ( 180 / 300 )22.81111111111110.0963986527140354236.633090493285
Trimmed Mean ( 181 / 300 )22.81226765799260.0965300198866521236.323039037796
Trimmed Mean ( 182 / 300 )22.81343283582090.0966618035571465236.012902680153
Trimmed Mean ( 183 / 300 )22.81460674157300.0967940040799812235.702685909359
Trimmed Mean ( 184 / 300 )22.81578947368420.0969266217589203235.392393334749
Trimmed Mean ( 185 / 300 )22.81698113207550.0970596568450517235.082029689236
Trimmed Mean ( 186 / 300 )22.81818181818180.0971931095347412234.771599832657
Trimmed Mean ( 187 / 300 )22.8193916349810.0973269799675143234.461108755225
Trimmed Mean ( 188 / 300 )22.82061068702290.0974612682238653234.150561581086
Trimmed Mean ( 189 / 300 )22.82183908045980.0975959743229881233.839963571983
Trimmed Mean ( 190 / 300 )22.82307692307690.0977310982204289233.529320131043
Trimmed Mean ( 191 / 300 )22.82432432432430.0978666398056552233.218636806670
Trimmed Mean ( 192 / 300 )22.82558139534880.0980025988995403232.907919296576
Trimmed Mean ( 193 / 300 )22.82684824902720.098138975251758232.597173451924
Trimmed Mean ( 194 / 300 )22.8281250.098275768538086232.286405281615
Trimmed Mean ( 195 / 300 )22.82941176470590.0984129783576136231.975620956702
Trimmed Mean ( 196 / 300 )22.83070866141730.0985506042298495231.664826814956
Trimmed Mean ( 197 / 300 )22.83201581027670.0986886455917284231.354029365566
Trimmed Mean ( 198 / 300 )22.83333333333330.0988271017945088231.043235294005
Trimmed Mean ( 199 / 300 )22.83466135458170.0989659721005619230.732451467043
Trimmed Mean ( 200 / 300 )22.8360.0991052556800436230.42168493793
Trimmed Mean ( 201 / 300 )22.83734939759040.0992449516074488230.110942951745
Trimmed Mean ( 202 / 300 )22.83870967741940.0993850588580404229.800232950928
Trimmed Mean ( 203 / 300 )22.84008097165990.0995255763041498229.489562580986
Trimmed Mean ( 204 / 300 )22.84146341463410.099666502711344229.178939696399
Trimmed Mean ( 205 / 300 )22.84285714285710.0998078367344533228.868372366715
Trimmed Mean ( 206 / 300 )22.84426229508200.0999495769134544228.557868882853
Trimmed Mean ( 207 / 300 )22.84567901234570.100091721669204228.247437763625
Trimmed Mean ( 208 / 300 )22.84710743801650.100234269299016227.937087762467
Trimmed Mean ( 209 / 300 )22.84854771784230.100377217972076227.626827874415
Trimmed Mean ( 210 / 300 )22.850.100520565724690227.316667343304
Trimmed Mean ( 211 / 300 )22.85146443514640.100664310455353227.00661566923
Trimmed Mean ( 212 / 300 )22.85294117647060.100808449919642226.696682616264
Trimmed Mean ( 213 / 300 )22.85443037974680.100952981724911226.386878220430
Trimmed Mean ( 214 / 300 )22.85593220338980.101097903324799226.077212797977
Trimmed Mean ( 215 / 300 )22.85744680851060.101243212013523225.767696953922
Trimmed Mean ( 216 / 300 )22.85897435897440.101388904919965225.458341590916
Trimmed Mean ( 217 / 300 )22.86051502145920.101534979001534225.149157918414
Trimmed Mean ( 218 / 300 )22.86206896551720.101681431037798224.840157462170
Trimmed Mean ( 219 / 300 )22.86363636363640.101828257623872224.531352074086
Trimmed Mean ( 220 / 300 )22.86521739130430.101975455163561224.222753942410
Trimmed Mean ( 221 / 300 )22.86681222707420.102123019862238223.914375602298
Trimmed Mean ( 222 / 300 )22.86842105263160.102270947719454223.606229946781
Trimmed Mean ( 223 / 300 )22.87004405286340.102419234521260223.298330238116
Trimmed Mean ( 224 / 300 )22.87168141592920.102567875832240222.990690119567
Trimmed Mean ( 225 / 300 )22.87333333333330.102716866987230222.683323627627
Trimmed Mean ( 226 / 300 )22.8750.102866203082728222.376245204688
Trimmed Mean ( 227 / 300 )22.87668161434980.103015878967957222.069469712195
Trimmed Mean ( 228 / 300 )22.87837837837840.103165889235587221.763012444296
Trimmed Mean ( 229 / 300 )22.87837837837840.103316228212099221.440317501827
Trimmed Mean ( 230 / 300 )22.88009049773760.103466889947758221.134418066398
Trimmed Mean ( 231 / 300 )22.88356164383560.103617868206205220.845709721572
Trimmed Mean ( 232 / 300 )22.88532110091740.103769156453626220.54068745509
Trimmed Mean ( 233 / 300 )22.88709677419350.103920747847498220.236066889933
Trimmed Mean ( 234 / 300 )22.88888888888890.104072635224887219.931866233895
Trimmed Mean ( 235 / 300 )22.89069767441860.104224811090271219.628104238948
Trimmed Mean ( 236 / 300 )22.8925233644860.104377267602879219.324800219762
Trimmed Mean ( 237 / 300 )22.8925233644860.104529996563522219.004344370894
Trimmed Mean ( 238 / 300 )22.89436619718310.104682989400885218.701876285829
Trimmed Mean ( 239 / 300 )22.89810426540280.104836237157263218.417838013909
Trimmed Mean ( 240 / 300 )22.90.104989730473717218.116570989129
Trimmed Mean ( 241 / 300 )22.90191387559810.105143459574618217.815867655991
Trimmed Mean ( 242 / 300 )22.90384615384620.105297414251559217.515751138277
Trimmed Mean ( 243 / 300 )22.90579710144930.105451583846595217.216245274907
Trimmed Mean ( 244 / 300 )22.90776699029130.105605957234791216.917374645458
Trimmed Mean ( 245 / 300 )22.90776699029130.105760522806043216.600356943228
Trimmed Mean ( 246 / 300 )22.90975609756100.105915268446133216.302676976290
Trimmed Mean ( 247 / 300 )22.91379310344830.106070181516988216.024831632616
Trimmed Mean ( 248 / 300 )22.91584158415840.106225248836102215.728763502507
Trimmed Mean ( 249 / 300 )22.91791044776120.106380456655089215.433465585381
Trimmed Mean ( 250 / 300 )22.920.106535790637310215.138967504627
Trimmed Mean ( 251 / 300 )22.92211055276380.106691235834553214.845299836150
Trimmed Mean ( 252 / 300 )22.92424242424240.106846776662692214.552494144139
Trimmed Mean ( 253 / 300 )22.92424242424240.107002396876307214.240457162304
Trimmed Mean ( 254 / 300 )22.92857142857140.107158079542187213.969600113491
Trimmed Mean ( 255 / 300 )22.93076923076920.107313807011678213.679580189285
Trimmed Mean ( 256 / 300 )22.93298969072160.107469560891814213.390559153837
Trimmed Mean ( 257 / 300 )22.93523316062180.107625322015177213.102574107862
Trimmed Mean ( 258 / 300 )22.93750.107781070408403212.815663391404
Trimmed Mean ( 259 / 300 )22.93979057591620.107936785259301212.52986663265
Trimmed Mean ( 260 / 300 )22.94210526315790.108092444882477212.245224799029
Trimmed Mean ( 261 / 300 )22.94444444444440.108248026683417211.96178025072
Trimmed Mean ( 262 / 300 )22.94680851063830.108403507120936211.679576796704
Trimmed Mean ( 263 / 300 )22.94919786096260.108558861667916211.398659753496
Trimmed Mean ( 264 / 300 )22.95161290322580.108714064770231211.119076006719
Trimmed Mean ( 265 / 300 )22.95405405405410.108869089803795210.840874075663
Trimmed Mean ( 266 / 300 )22.95652173913040.109023909029596210.564104181025
Trimmed Mean ( 267 / 300 )22.95901639344260.109178493546646210.288818315976
Trimmed Mean ( 268 / 300 )22.96153846153850.109332813242714210.015070320791
Trimmed Mean ( 269 / 300 )22.96408839779010.109486836742733209.742915961213
Trimmed Mean ( 270 / 300 )22.96666666666670.109640531354758209.472413010793
Trimmed Mean ( 271 / 300 )22.96927374301680.109793863013338209.203621337437
Trimmed Mean ( 272 / 300 )22.97191011235960.109946796220167208.936602994403
Trimmed Mean ( 273 / 300 )22.97457627118640.110099293981861208.671422316038
Trimmed Mean ( 274 / 300 )22.97727272727270.110251317744705208.408146018519
Trimmed Mean ( 275 / 300 )22.980.11040282732621208.146843305927
Trimmed Mean ( 276 / 300 )22.98275862068970.110553780843282207.887585981970
Trimmed Mean ( 277 / 300 )22.98554913294800.110704134636837207.630448567721
Trimmed Mean ( 278 / 300 )22.98837209302330.110853843192649207.375508425743
Trimmed Mean ( 279 / 300 )22.99122807017540.111002859058211207.122845891012
Trimmed Mean ( 280 / 300 )22.99411764705880.111151132755392206.872544409074
Trimmed Mean ( 281 / 300 )22.99704142011830.111298612688649206.624690681915
Trimmed Mean ( 282 / 300 )230.111445245048514206.379374822028
Trimmed Mean ( 283 / 300 )23.00299401197600.111590973710106206.136690515256
Trimmed Mean ( 284 / 300 )23.00602409638550.111735740126358205.896735192954
Trimmed Mean ( 285 / 300 )23.00909090909090.111879483215650205.659610214148
Trimmed Mean ( 286 / 300 )23.01219512195120.112022139243504205.425421058326
Trimmed Mean ( 287 / 300 )23.01533742331290.112163641697996205.194277529633
Trimmed Mean ( 288 / 300 )23.01851851851850.112303921158491204.966293973237
Trimmed Mean ( 289 / 300 )23.02173913043480.112442905157293204.741589504739
Trimmed Mean ( 290 / 300 )23.0250.112580518033771204.520288253542
Trimmed Mean ( 291 / 300 )23.02830188679250.112716680780494204.302519621192
Trimmed Mean ( 292 / 300 )23.03164556962030.112851310880860204.088418555769
Trimmed Mean ( 293 / 300 )23.03503184713380.112984322137700203.87812584351
Trimmed Mean ( 294 / 300 )23.03846153846150.113115624492249203.67178841894
Trimmed Mean ( 295 / 300 )23.04193548387100.113245123832882203.4695596949
Trimmed Mean ( 296 / 300 )23.04545454545450.113372721792947203.271599913977
Trimmed Mean ( 297 / 300 )23.04901960784310.113498315536955203.07807652298
Trimmed Mean ( 298 / 300 )23.05263157894740.113621797534382202.889164572244
Trimmed Mean ( 299 / 300 )23.05629139072850.113743055320222202.705047141716
Trimmed Mean ( 300 / 300 )23.060.113861971241426202.525915795933
Median22
Midrange35
Midmean - Weighted Average at Xnp22.8489932885906
Midmean - Weighted Average at X(n+1)p22.8489932885906
Midmean - Empirical Distribution Function22.8489932885906
Midmean - Empirical Distribution Function - Averaging22.8489932885906
Midmean - Empirical Distribution Function - Interpolation22.8489932885906
Midmean - Closest Observation22.8489932885906
Midmean - True Basic - Statistics Graphics Toolkit22.8489932885906
Midmean - MS Excel (old versions)22.8489932885906
Number of observations900
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Mar/12/t1268396674rrc1f7fgxzdgmy7/1lyb61268396535.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Mar/12/t1268396674rrc1f7fgxzdgmy7/1lyb61268396535.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Mar/12/t1268396674rrc1f7fgxzdgmy7/28bh71268396535.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Mar/12/t1268396674rrc1f7fgxzdgmy7/28bh71268396535.ps (open in new window)


 
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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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')
 





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