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centrummaten studio 100

*Unverified author*
R Software Module: rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Wed, 12 Aug 2009 05:50:39 -0600
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Aug/12/t1250077986768wwvn5ezi7a4e.htm/, Retrieved Wed, 12 Aug 2009 13:53:09 +0200
 
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/2009/Aug/12/t1250077986768wwvn5ezi7a4e.htm/},
    year = {2009},
}
@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 = {2009},
    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:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
10 10 13 14 12 11 8 8 10 10 12 12 12 11 12 12 12 12 12 12 10 12 10 11 10 10 12 10 12 7 12 18 12 11 13 10 10 10 8 12 10 10 8 14 9 8 12 15 14 1 9 7 8 12 57 12 10 10 8 8 16 14 13 10 12 9 12 11 10 8 8 9 12 8 12 10 12 9 8 12 8 12 10 12 9 28 10 12 9 14 12 12 99 13 13 14 12 12 10 11 12 14 10 12 12 6 12 10 12 12 12 9 12 12 13 8 12 10 10 10 9 12 9 10 8 12 10 8 8 9 12 12 10 10 9 11 10 9 15 10 8 10 8 9 9 6 16 12 12 12 12 10 12 8 9 12 12 8 14 10 12 8 11 10 12 12 12 12 8 10 7 10 10 12 11 9 10 12 14 13 10 11 10 10 8 10 10 10 8 8 4 14 8 12 12 10 8 12 12 10 10 12 12 9 11 14 10 8 12 8 10 11 12 10 10 12 8 9 12 8 8 10 10 10 14 10 12 12 13 9 12 12 10 12 6 8 12 10 9 11 11 9 10 15 12 7 7 10 9 10 10 9 12 10 9 12 10 7 12 10 10 12 8 12 10 10 9 8 8 12 12 10 12 10 9 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 Mean12.32555425904320.39819220509025030.9537808663271
Geometric Mean10.9157506394545
Harmonic Mean10.1556523717868
Quadratic Mean16.9600739193915
Winsorized Mean ( 1 / 285 )12.32555425904320.39819220509025030.9537808663271
Winsorized Mean ( 2 / 285 )12.32555425904320.39819220509025030.9537808663271
Winsorized Mean ( 3 / 285 )12.32905484247370.39808099225339630.9712221442258
Winsorized Mean ( 4 / 285 )12.33838973162190.39782521708573731.0145993811218
Winsorized Mean ( 5 / 285 )12.34422403733960.39769085247210831.0397484895766
Winsorized Mean ( 6 / 285 )12.34422403733960.39769085247210831.0397484895766
Winsorized Mean ( 7 / 285 )12.35239206534420.39752650202597931.0731284641168
Winsorized Mean ( 8 / 285 )12.35239206534420.39752650202597931.0731284641168
Winsorized Mean ( 9 / 285 )12.35239206534420.39752650202597931.0731284641168
Winsorized Mean ( 10 / 285 )12.35239206534420.39752650202597931.0731284641168
Winsorized Mean ( 11 / 285 )12.35239206534420.39752650202597931.0731284641168
Winsorized Mean ( 12 / 285 )12.35239206534420.39752650202597931.0731284641168
Winsorized Mean ( 13 / 285 )12.18553092182030.35546924661974834.2801270087237
Winsorized Mean ( 14 / 285 )11.90781796966160.28310370589172142.0616817153782
Winsorized Mean ( 15 / 285 )11.68028004667440.22947601046000650.899786967972
Winsorized Mean ( 16 / 285 )11.54959159859980.19967415289066357.8421965557258
Winsorized Mean ( 17 / 285 )11.11318553092180.107970990650014102.927512881168
Winsorized Mean ( 18 / 285 )10.94515752625440.0810279759703662135.078747743338
Winsorized Mean ( 19 / 285 )10.90081680280050.0756885447385586144.022016019119
Winsorized Mean ( 20 / 285 )10.90081680280050.0756885447385586144.022016019119
Winsorized Mean ( 21 / 285 )10.87631271878650.073145296445704148.694629009536
Winsorized Mean ( 22 / 285 )10.87631271878650.073145296445704148.694629009536
Winsorized Mean ( 23 / 285 )10.84947491248540.0706877554856632153.484501494547
Winsorized Mean ( 24 / 285 )10.84947491248540.0706877554856632153.484501494547
Winsorized Mean ( 25 / 285 )10.84947491248540.0706877554856632153.484501494547
Winsorized Mean ( 26 / 285 )10.84947491248540.0706877554856632153.484501494547
Winsorized Mean ( 27 / 285 )10.81796966161030.0682148972745773158.586615150441
Winsorized Mean ( 28 / 285 )10.81796966161030.0682148972745773158.586615150441
Winsorized Mean ( 29 / 285 )10.81796966161030.0682148972745773158.586615150441
Winsorized Mean ( 30 / 285 )10.81796966161030.0682148972745773158.586615150441
Winsorized Mean ( 31 / 285 )10.81796966161030.0682148972745773158.586615150441
Winsorized Mean ( 32 / 285 )10.81796966161030.0682148972745773158.586615150441
Winsorized Mean ( 33 / 285 )10.81796966161030.0682148972745773158.586615150441
Winsorized Mean ( 34 / 285 )10.81796966161030.0682148972745773158.586615150441
Winsorized Mean ( 35 / 285 )10.81796966161030.0682148972745773158.586615150441
Winsorized Mean ( 36 / 285 )10.81796966161030.0682148972745773158.586615150441
Winsorized Mean ( 37 / 285 )10.86114352392070.0656993106096872165.315943548412
Winsorized Mean ( 38 / 285 )10.86114352392070.0656993106096872165.315943548412
Winsorized Mean ( 39 / 285 )10.86114352392070.0656993106096872165.315943548412
Winsorized Mean ( 40 / 285 )10.86114352392070.0656993106096872165.315943548412
Winsorized Mean ( 41 / 285 )10.86114352392070.0656993106096872165.315943548412
Winsorized Mean ( 42 / 285 )10.86114352392070.0656993106096872165.315943548412
Winsorized Mean ( 43 / 285 )10.86114352392070.0656993106096872165.315943548412
Winsorized Mean ( 44 / 285 )10.86114352392070.0656993106096872165.315943548412
Winsorized Mean ( 45 / 285 )10.86114352392070.0656993106096872165.315943548412
Winsorized Mean ( 46 / 285 )10.86114352392070.0656993106096872165.315943548412
Winsorized Mean ( 47 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 48 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 49 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 50 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 51 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 52 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 53 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 54 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 55 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 56 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 57 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 58 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 59 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 60 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 61 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 62 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 63 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 64 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 65 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 66 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 67 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 68 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 69 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 70 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 71 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 72 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 73 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 74 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 75 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 76 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 77 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 78 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 79 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 80 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 81 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 82 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 83 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 84 / 285 )10.80630105017500.0620210849402512174.23592413105
Winsorized Mean ( 85 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 86 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 87 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 88 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 89 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 90 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 91 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 92 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 93 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 94 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 95 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 96 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 97 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 98 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 99 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 100 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 101 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 102 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 103 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 104 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 105 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 106 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 107 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 108 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 109 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 110 / 285 )10.70711785297550.056664756118339188.955509322491
Winsorized Mean ( 111 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 112 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 113 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 114 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 115 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 116 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 117 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 118 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 119 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 120 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 121 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 122 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 123 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 124 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 125 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 126 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 127 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 128 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 129 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 130 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 131 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 132 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 133 / 285 )10.57759626604430.0514658497875371205.526505628705
Winsorized Mean ( 134 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 135 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 136 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 137 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 138 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 139 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 140 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 141 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 142 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 143 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 144 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 145 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 146 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 147 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 148 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 149 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 150 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 151 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 152 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 153 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 154 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 155 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 156 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 157 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 158 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 159 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 160 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 161 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 162 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 163 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 164 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 165 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 166 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 167 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 168 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 169 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 170 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 171 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 172 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 173 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 174 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 175 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 176 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 177 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 178 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 179 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 180 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 181 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 182 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 183 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 184 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 185 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 186 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 187 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 188 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 189 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 190 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 191 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 192 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 193 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 194 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 195 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 196 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 197 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 198 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 199 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 200 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 201 / 285 )10.73395565927650.0431413185220958248.809170117944
Winsorized Mean ( 202 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 203 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 204 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 205 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 206 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 207 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 208 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 209 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 210 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 211 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 212 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 213 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 214 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 215 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 216 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 217 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 218 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 219 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 220 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 221 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 222 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 223 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 224 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 225 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 226 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 227 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 228 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 229 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 230 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 231 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 232 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 233 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 234 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 235 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 236 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 237 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 238 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 239 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 240 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 241 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 242 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 243 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 244 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 245 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 246 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 247 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 248 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 249 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 250 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 251 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 252 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 253 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 254 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 255 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 256 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 257 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 258 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 259 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 260 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 261 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 262 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 263 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 264 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 265 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 266 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 267 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 268 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 269 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 270 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 271 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 272 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 273 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 274 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 275 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 276 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 277 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 278 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 279 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 280 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 281 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 282 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 283 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 284 / 285 )10.96966161026840.0334172453904233328.263490365727
Winsorized Mean ( 285 / 285 )10.96966161026840.0334172453904233328.263490365727
Trimmed Mean ( 1 / 285 )12.32555425904320.38578065632082231.9496430344424
Trimmed Mean ( 2 / 285 )12.23742690058480.37280675220015932.8251214023467
Trimmed Mean ( 3 / 285 )12.05992949471210.35920764009255633.5736998567309
Trimmed Mean ( 4 / 285 )12.05992949471210.34494950374581134.9614345397027
Trimmed Mean ( 5 / 285 )11.87603305785120.32997543243436635.9906583657965
Trimmed Mean ( 6 / 285 )11.78106508875740.31413349434484237.503371340035
Trimmed Mean ( 7 / 285 )11.68564650059310.29724755512044539.3128431144138
Trimmed Mean ( 8 / 285 )11.68564650059310.27915636255067141.8605773259853
Trimmed Mean ( 9 / 285 )11.49106078665080.25957114765101244.2694070224641
Trimmed Mean ( 10 / 285 )11.39307048984470.23812024496677547.8458708600537
Trimmed Mean ( 11 / 285 )11.29461077844310.21424025475317852.7193677558655
Trimmed Mean ( 12 / 285 )11.19567827130850.18699856936948359.8703953140274
Trimmed Mean ( 13 / 285 )11.09626955475330.1546232151939171.7632830286041
Trimmed Mean ( 14 / 285 )11.00965018094090.12393919614353588.8310600965211
Trimmed Mean ( 15 / 285 )11.00965018094090.101549323377737108.416775363317
Trimmed Mean ( 16 / 285 )10.94316807738810.084946713199368128.823914018954
Trimmed Mean ( 17 / 285 )10.84933171324420.070467631735596153.961917635495
Trimmed Mean ( 18 / 285 )10.83313032886720.0673102650343519160.943213094444
Trimmed Mean ( 19 / 285 )10.82661782661780.0663733812639297163.116864327982
Trimmed Mean ( 20 / 285 )10.82252141982860.0657865015478285164.509757552017
Trimmed Mean ( 21 / 285 )10.81840490797550.0651877628515472165.957603616684
Trimmed Mean ( 22 / 285 )10.81549815498150.064733381150173167.077602974129
Trimmed Mean ( 23 / 285 )10.81257706535140.0642706828023047168.234980459297
Trimmed Mean ( 24 / 285 )10.81087762669960.0639357124938862169.089812328805
Trimmed Mean ( 25 / 285 )10.80916976456010.063595168455243169.968411549493
Trimmed Mean ( 26 / 285 )10.80745341614910.0632489156113723170.871758221984
Trimmed Mean ( 27 / 285 )10.80572851805730.0628968137611693171.800888978075
Trimmed Mean ( 28 / 285 )10.80524344569290.0626557731378623172.454075730866
Trimmed Mean ( 29 / 285 )10.80475594493120.0624109671643173.122712815635
Trimmed Mean ( 30 / 285 )10.80475594493120.062162317597849173.815204491427
Trimmed Mean ( 31 / 285 )10.80426599749060.0619097437661032174.516406307696
Trimmed Mean ( 32 / 285 )10.80377358490570.0616531624595441175.234702550659
Trimmed Mean ( 33 / 285 )10.80278128950700.0613924878179047175.962592060920
Trimmed Mean ( 34 / 285 )10.80228136882130.061127631209773176.716832552383
Trimmed Mean ( 35 / 285 )10.80177890724270.0608585011049311177.490058268416
Trimmed Mean ( 36 / 285 )10.80127388535030.0605850029388792178.282963792989
Trimmed Mean ( 37 / 285 )10.80076628352490.0603070389689436179.096279110752
Trimmed Mean ( 38 / 285 )10.79897567221510.060114678326321179.63958176063
Trimmed Mean ( 39 / 285 )10.79717586649550.0599192414059937180.195469988301
Trimmed Mean ( 40 / 285 )10.79536679536680.0597206670124251180.764337295844
Trimmed Mean ( 41 / 285 )10.79354838709680.0595188921927968181.346594155915
Trimmed Mean ( 42 / 285 )10.79172056921090.0593138521663325181.942668956113
Trimmed Mean ( 43 / 285 )10.78988326848250.0591054802498621182.553009008123
Trimmed Mean ( 44 / 285 )10.78803641092330.0588937077793749183.178081626936
Trimmed Mean ( 45 / 285 )10.78617992177310.0586784640272907183.818375285976
Trimmed Mean ( 46 / 285 )10.78431372549020.0584596761151539184.474400854484
Trimmed Mean ( 47 / 285 )10.78243774574050.058237268921435185.146692924192
Trimmed Mean ( 48 / 285 )10.78186596583440.0581218981315172185.504367758902
Trimmed Mean ( 49 / 285 )10.78129117259550.0580046617694377185.869391247379
Trimmed Mean ( 50 / 285 )10.78071334214000.0578855272621328186.241947720713
Trimmed Mean ( 51 / 285 )10.78013245033110.057764461268799186.62222781179
Trimmed Mean ( 52 / 285 )10.77954847277560.05764142965651187.010428731761
Trimmed Mean ( 53 / 285 )10.77896138482020.0575163974748272187.406754561389
Trimmed Mean ( 54 / 285 )10.77837116154870.0573893289293495187.811416558254
Trimmed Mean ( 55 / 285 )10.77777777777780.0572601873541478188.224633480824
Trimmed Mean ( 56 / 285 )10.77718120805370.0571289351830256188.646631930501
Trimmed Mean ( 57 / 285 )10.77658142664870.0569955339195427189.077646712835
Trimmed Mean ( 58 / 285 )10.77597840755740.0568599441057359189.517921219172
Trimmed Mean ( 59 / 285 )10.77537212449260.0567221252894646189.967707830122
Trimmed Mean ( 60 / 285 )10.77537212449260.0565820359903075190.438041613391
Trimmed Mean ( 61 / 285 )10.77476255088200.0564396336639284190.907733651154
Trimmed Mean ( 62 / 285 )10.77414965986390.0562948746648247191.387754640407
Trimmed Mean ( 63 / 285 )10.77353342428380.056147714207369191.878397480156
Trimmed Mean ( 64 / 285 )10.77291381668950.0559981063250422192.379966460970
Trimmed Mean ( 65 / 285 )10.77166437414030.0558460038277561192.881560646004
Trimmed Mean ( 66 / 285 )10.77103448275860.055691358257152193.405850024773
Trimmed Mean ( 67 / 285 )10.77040110650070.0555341198397533193.942051077414
Trimmed Mean ( 68 / 285 )10.76976421636620.055374237437847194.490519683532
Trimmed Mean ( 69 / 285 )10.76912378303200.0552116584979504195.051626341414
Trimmed Mean ( 70 / 285 )10.76847977684800.05504632899672195.625756941750
Trimmed Mean ( 71 / 285 )10.76783216783220.0548781933841381196.213313591779
Trimmed Mean ( 72 / 285 )10.76718092566620.0547071945238083196.81471549378
Trimmed Mean ( 73 / 285 )10.76652601969060.0545332736301747197.430399882195
Trimmed Mean ( 74 / 285 )10.76586741889990.0543563702024645198.060823024046
Trimmed Mean ( 75 / 285 )10.76520509193780.0541764219551406198.706461287747
Trimmed Mean ( 76 / 285 )10.76453900709220.0539933647446319199.367812285905
Trimmed Mean ( 77 / 285 )10.76386913229020.053807132492092200.045396098225
Trimmed Mean ( 78 / 285 )10.76319543509270.0536176571019139200.739756581205
Trimmed Mean ( 79 / 285 )10.76251788268960.0534248683757103201.451462772022
Trimmed Mean ( 80 / 285 )10.76183644189380.05322869392144202.181110394652
Trimmed Mean ( 81 / 285 )10.76115107913670.0530290590573380202.929323477174
Trimmed Mean ( 82 / 285 )10.76046176046180.0528258867102744203.696756090019
Trimmed Mean ( 83 / 285 )10.75976845151950.052619097308137204.48409421603
Trimmed Mean ( 84 / 285 )10.75907111756170.0524086086657954205.292057764235
Trimmed Mean ( 85 / 285 )10.75836972343520.0521943358641649206.121402740591
Trimmed Mean ( 86 / 285 )10.75912408759120.052088647559903206.554107115529
Trimmed Mean ( 87 / 285 )10.75988286969250.0519810336828341206.996323608043
Trimmed Mean ( 88 / 285 )10.76064610866370.0518714573354380207.448308981907
Trimmed Mean ( 89 / 285 )10.76141384388810.0517598806751207.910329458411
Trimmed Mean ( 90 / 285 )10.76218611521420.0516462648816818208.382661163777
Trimmed Mean ( 91 / 285 )10.76296296296300.051530570123646208.865590602580
Trimmed Mean ( 92 / 285 )10.76374442793460.0514127555226554209.359415158977
Trimmed Mean ( 93 / 285 )10.76453055141580.0512927791165618209.864443627701
Trimmed Mean ( 94 / 285 )10.76532137518680.0511705978206908210.380996776901
Trimmed Mean ( 95 / 285 )10.76611694152920.0510461673873253210.909407945139
Trimmed Mean ( 96 / 285 )10.76691729323310.0509194423632835211.45002367498
Trimmed Mean ( 97 / 285 )10.76772247360480.0507903760454781212.003204385873
Trimmed Mean ( 98 / 285 )10.76853252647500.0506589204343367212.569325089212
Trimmed Mean ( 99 / 285 )10.76934749620640.0505250261849544213.148776148746
Trimmed Mean ( 100 / 285 )10.77016742770170.0503886425558407213.741964089748
Trimmed Mean ( 101 / 285 )10.77099236641220.0502497173551114214.349312460692
Trimmed Mean ( 102 / 285 )10.77182235834610.050108196883966214.971262751483
Trimmed Mean ( 103 / 285 )10.77265745007680.0499640258772795215.608275372692
Trimmed Mean ( 104 / 285 )10.77349768875190.0498171474411226216.260830700610
Trimmed Mean ( 105 / 285 )10.7743431221020.049667502987012216.92943019341
Trimmed Mean ( 106 / 285 )10.77519379844960.0495150321626752217.614597584206
Trimmed Mean ( 107 / 285 )10.77604976671850.0493596727790987218.316880157310
Trimmed Mean ( 108 / 285 )10.77691107644310.0492013607336078219.036850114629
Trimmed Mean ( 109 / 285 )10.77777777777780.0490400299287081219.77510603982
Trimmed Mean ( 110 / 285 )10.77864992150710.0488756121863944220.532274468524
Trimmed Mean ( 111 / 285 )10.77952755905510.0487080371576091221.309011573897
Trimmed Mean ( 112 / 285 )10.78199052132700.048625669209369221.734542611695
Trimmed Mean ( 113 / 285 )10.78446909667200.0485414200118206222.170449361509
Trimmed Mean ( 114 / 285 )10.78696343402230.0484552494896076222.617023906477
Trimmed Mean ( 115 / 285 )10.78947368421050.0483671164694213223.074569496651
Trimmed Mean ( 116 / 285 )10.7920.0482769786406178223.543401096774
Trimmed Mean ( 117 / 285 )10.79454253611560.0481847925140198224.023845967061
Trimmed Mean ( 118 / 285 )10.79710144927540.0480905133788023224.516244279367
Trimmed Mean ( 119 / 285 )10.79967689822290.0479940952573492225.020949771299
Trimmed Mean ( 120 / 285 )10.79967689822290.0478954908579616225.484209573097
Trimmed Mean ( 121 / 285 )10.80487804878050.0477946515252913226.068769286097
Trimmed Mean ( 122 / 285 )10.80487804878050.0476915271883627226.557602278188
Trimmed Mean ( 123 / 285 )10.8101472995090.0475860663060351227.170433252181
Trimmed Mean ( 124 / 285 )10.8101472995090.0474782158097501227.686468733921
Trimmed Mean ( 125 / 285 )10.81548599670510.0473679210433934228.329336784638
Trimmed Mean ( 126 / 285 )10.81548599670510.0472551257000901228.874346147057
Trimmed Mean ( 127 / 285 )10.82089552238810.0471397717557370229.549170888192
Trimmed Mean ( 128 / 285 )10.82089552238810.0470217993990625230.125083699026
Trimmed Mean ( 129 / 285 )10.82637729549250.0469011469579844230.833956047837
Trimmed Mean ( 130 / 285 )10.82914572864320.0467777508220227231.502061094073
Trimmed Mean ( 131 / 285 )10.83193277310920.0466515453605011232.188080574935
Trimmed Mean ( 132 / 285 )10.83473861720070.0465224628362505232.892627704099
Trimmed Mean ( 133 / 285 )10.83756345177660.0463904333145048233.616344523087
Trimmed Mean ( 134 / 285 )10.84040747028860.0462553845666518234.359903649014
Trimmed Mean ( 135 / 285 )10.84156729131180.0462646672419169234.337950268213
Trimmed Mean ( 136 / 285 )10.84273504273500.0462734836424464234.318538161434
Trimmed Mean ( 137 / 285 )10.84391080617500.046281823275352234.301720173372
Trimmed Mean ( 138 / 285 )10.84509466437180.046289675402681234.287550518093
Trimmed Mean ( 139 / 285 )10.84628670120900.0462970290347188234.276084823395
Trimmed Mean ( 140 / 285 )10.84748700173310.0463038729230752234.267380176904
Trimmed Mean ( 141 / 285 )10.84869565217390.0463101955535456234.261495174000
Trimmed Mean ( 142 / 285 )10.84991273996510.0463159851387385234.258489967652
Trimmed Mean ( 143 / 285 )10.85113835376530.0463212296104603234.258426320249
Trimmed Mean ( 144 / 285 )10.85237258347980.0463259166118482234.261367657520
Trimmed Mean ( 145 / 285 )10.85361552028220.0463300334892413234.267379124658
Trimmed Mean ( 146 / 285 )10.85486725663720.0463335672837789234.276527644730
Trimmed Mean ( 147 / 285 )10.85612788632330.0463365047227167234.288881979503
Trimmed Mean ( 148 / 285 )10.85739750445630.0463388322104479234.304512792801
Trimmed Mean ( 149 / 285 )10.85867620751340.0463405358192189234.323492716499
Trimmed Mean ( 150 / 285 )10.85996409335730.0463416012795263234.345896419319
Trimmed Mean ( 151 / 285 )10.86126126126130.0463420139701829234.371800678528
Trimmed Mean ( 152 / 285 )10.86256781193490.0463417589080379234.401284454717
Trimmed Mean ( 153 / 285 )10.86388384754990.0463408207373399234.434428969795
Trimmed Mean ( 154 / 285 )10.86520947176680.0463391837187238234.471317788376
Trimmed Mean ( 155 / 285 )10.86654478976230.0463368317178098234.512036902724
Trimmed Mean ( 156 / 285 )10.86788990825690.0463337481933957234.556674821442
Trimmed Mean ( 157 / 285 )10.86924493554330.0463299161852264234.605322662104
Trimmed Mean ( 158 / 285 )10.87060998151570.0463253183013224234.658074248038
Trimmed Mean ( 159 / 285 )10.87198515769940.0463199367048476234.715026209473
Trimmed Mean ( 160 / 285 )10.87337057728120.0463137531004984234.776278089287
Trimmed Mean ( 161 / 285 )10.87476635514020.0463067487203909234.841932453607
Trimmed Mean ( 162 / 285 )10.87617260787990.0462989043094255234.912095007522
Trimmed Mean ( 163 / 285 )10.87758945386060.0462902001101061234.986874716185
Trimmed Mean ( 164 / 285 )10.87901701323250.0462806158467889235.066383931607
Trimmed Mean ( 165 / 285 )10.88045540796960.0462701307093348235.150738525460
Trimmed Mean ( 166 / 285 )10.88190476190480.0462587233361401235.240058028216
Trimmed Mean ( 167 / 285 )10.88336520076480.0462463717965149235.334465774999
Trimmed Mean ( 168 / 285 )10.88483685220730.046233053572382235.434089058515
Trimmed Mean ( 169 / 285 )10.88631984585740.0462187455392614235.539059289479
Trimmed Mean ( 170 / 285 )10.88781431334620.0462034239465104235.649512164965
Trimmed Mean ( 171 / 285 )10.88932038834950.0461870643967826235.765587845156
Trimmed Mean ( 172 / 285 )10.89083820662770.046169641824668235.887431138979
Trimmed Mean ( 173 / 285 )10.89236790606650.0461511304744772236.015191699157
Trimmed Mean ( 174 / 285 )10.89390962671910.0461315038771262236.149024227253
Trimmed Mean ( 175 / 285 )10.89546351084810.0461107348260799236.289088689295
Trimmed Mean ( 176 / 285 )10.89702970297030.0460887953523064236.435550542655
Trimmed Mean ( 177 / 285 )10.89860834990060.0460656566981945236.588580974853
Trimmed Mean ( 178 / 285 )10.90019960079840.0460412892903819236.748357155052
Trimmed Mean ( 179 / 285 )10.90180360721440.0460156627114393236.915062499019
Trimmed Mean ( 180 / 285 )10.90342052313880.0459887456703523237.088886948443
Trimmed Mean ( 181 / 285 )10.90505050505050.0459605059717397237.270027265493
Trimmed Mean ( 182 / 285 )10.90669371196750.0459309104837419237.458687343639
Trimmed Mean ( 183 / 285 )10.90835030549900.0458999251045113237.655078535778
Trimmed Mean ( 184 / 285 )10.91002044989780.0458675147272293237.859420000818
Trimmed Mean ( 185 / 285 )10.9117043121150.0458336432035720238.071939069958
Trimmed Mean ( 186 / 285 )10.91340206185570.0457982733055427238.292871633981
Trimmed Mean ( 187 / 285 )10.91511387163560.045761366685579238.522462553011
Trimmed Mean ( 188 / 285 )10.91683991683990.0457228838348438238.760966090257
Trimmed Mean ( 189 / 285 )10.91858037578290.0456827840395963239.008646371443
Trimmed Mean ( 190 / 285 )10.92033542976940.0456410253355371239.265777871703
Trimmed Mean ( 191 / 285 )10.92210526315790.0455975644600132239.532645931912
Trimmed Mean ( 192 / 285 )10.92389006342490.0455523568019585239.809547306569
Trimmed Mean ( 193 / 285 )10.92569002123140.0455053563494407240.096790745508
Trimmed Mean ( 194 / 285 )10.92750533049040.0454565156346753240.394697611945
Trimmed Mean ( 195 / 285 )10.92933618843680.0454057856763541240.703602539543
Trimmed Mean ( 196 / 285 )10.93118279569890.0453531159191315241.023854131437
Trimmed Mean ( 197 / 285 )10.93304535637150.0452984541700946241.355815704398
Trimmed Mean ( 198 / 285 )10.93492407809110.0452417465320334241.699866081621
Trimmed Mean ( 199 / 285 )10.93681917211330.0451829373333140242.056400437902
Trimmed Mean ( 200 / 285 )10.93873085339170.0451219690541418242.425831201345
Trimmed Mean ( 201 / 285 )10.94065934065930.0450587822489861242.808589016085
Trimmed Mean ( 202 / 285 )10.94260485651210.044993315464922243.205123770959
Trimmed Mean ( 203 / 285 )10.94235033259420.045083542317194242.712745498284
Trimmed Mean ( 204 / 285 )10.94209354120270.0451743027265040242.219423008003
Trimmed Mean ( 205 / 285 )10.94183445190160.0452656018193278241.725151375974
Trimmed Mean ( 206 / 285 )10.94157303370790.0453574447884205241.229925643898
Trimmed Mean ( 207 / 285 )10.9413092550790.0454498368938469240.733740819217
Trimmed Mean ( 208 / 285 )10.94104308390020.0455427834640291240.236591875017
Trimmed Mean ( 209 / 285 )10.94077448747150.0456362898968114239.738473749943
Trimmed Mean ( 210 / 285 )10.94050343249430.0457303616605427239.239381348126
Trimmed Mean ( 211 / 285 )10.94022988505750.0458250042951768238.739309539115
Trimmed Mean ( 212 / 285 )10.93995381062360.0459202234133911238.238253157829
Trimmed Mean ( 213 / 285 )10.93967517401390.0460160247017232237.736207004519
Trimmed Mean ( 214 / 285 )10.93939393939390.0461124139217263237.233165844735
Trimmed Mean ( 215 / 285 )10.93939393939390.0462093969111429236.735267513435
Trimmed Mean ( 216 / 285 )10.93882352941180.0463069795850982236.224077394413
Trimmed Mean ( 217 / 285 )10.93853427895980.0464051679373119235.718019461464
Trimmed Mean ( 218 / 285 )10.93824228028500.0465039680413298235.210945237271
Trimmed Mean ( 219 / 285 )10.93824228028500.0466033860517745234.709174739644
Trimmed Mean ( 220 / 285 )10.93764988009590.0467034282056163234.193726249428
Trimmed Mean ( 221 / 285 )10.93734939759040.0468041008234637233.68357056669
Trimmed Mean ( 222 / 285 )10.93704600484260.0469054103108739233.172376754737
Trimmed Mean ( 223 / 285 )10.93704600484260.0470073631596833232.666656236165
Trimmed Mean ( 224 / 285 )10.93643031784840.0471099659493585232.146852528076
Trimmed Mean ( 225 / 285 )10.93611793611790.0472132253483678231.632510920926
Trimmed Mean ( 226 / 285 )10.93580246913580.0473171481155727231.117108800069
Trimmed Mean ( 227 / 285 )10.93580246913580.0474217411016406230.607358884119
Trimmed Mean ( 228 / 285 )10.93516209476310.0475270112504773230.083100263395
Trimmed Mean ( 229 / 285 )10.93483709273180.0476329656006808229.564482388129
Trimmed Mean ( 230 / 285 )10.93450881612090.0477396112870154229.044781080883
Trimmed Mean ( 231 / 285 )10.93450881612090.0478469555419064228.530920980835
Trimmed Mean ( 232 / 285 )10.93384223918580.0479550056969552228.002104895589
Trimmed Mean ( 233 / 285 )10.93350383631710.0480637691844756227.479118301205
Trimmed Mean ( 234 / 285 )10.93316195372750.0481732535390488226.955024843094
Trimmed Mean ( 235 / 285 )10.93281653746770.0482834663991007226.429818586333
Trimmed Mean ( 236 / 285 )10.93246753246750.0483944155084971225.903493566278
Trimmed Mean ( 237 / 285 )10.93211488250650.0485061087181598225.376043789176
Trimmed Mean ( 238 / 285 )10.93175853018370.0486185539877017224.847463232842
Trimmed Mean ( 239 / 285 )10.93139841688650.0487317593870812224.317745847371
Trimmed Mean ( 240 / 285 )10.93139841688650.0488457330982745223.794336240041
Trimmed Mean ( 241 / 285 )10.93066666666670.0489604834169665223.254876255548
Trimmed Mean ( 242 / 285 )10.93029490616620.0490760187542596222.721711818107
Trimmed Mean ( 243 / 285 )10.92991913746630.0491923476383985222.187386091219
Trimmed Mean ( 244 / 285 )10.92991913746630.0493094787165121221.659596125607
Trimmed Mean ( 245 / 285 )10.92915531335150.0494274207563703221.115226044704
Trimmed Mean ( 246 / 285 )10.92876712328770.0495461826481553220.577379308849
Trimmed Mean ( 247 / 285 )10.92837465564740.049665773406247220.038346453552
Trimmed Mean ( 248 / 285 )10.92837465564740.0497862021710201219.506091629714
Trimmed Mean ( 249 / 285 )10.92757660167130.049907478210653218.956697341978
Trimmed Mean ( 250 / 285 )10.92717086834730.0500296109229461218.414068523879
Trimmed Mean ( 251 / 285 )10.92676056338030.0501526098371486217.870228465891
Trimmed Mean ( 252 / 285 )10.92676056338030.0502764846157926217.333424301269
Trimmed Mean ( 253 / 285 )10.92592592592590.0504012450565308216.778889364167
Trimmed Mean ( 254 / 285 )10.92550143266480.0505269010939785216.231377664418
Trimmed Mean ( 255 / 285 )10.92507204610950.0506534628015559215.682629416876
Trimmed Mean ( 256 / 285 )10.92507204610950.0507809403933281215.141191980464
Trimmed Mean ( 257 / 285 )10.92419825072890.0509093442258424214.581397911301
Trimmed Mean ( 258 / 285 )10.92375366568910.0510386847999569214.028901969245
Trimmed Mean ( 259 / 285 )10.92330383480830.0511689727626602213.475144116620
Trimmed Mean ( 260 / 285 )10.92284866468840.0513002189088773212.920118023089
Trimmed Mean ( 261 / 285 )10.92238805970150.0514324341832582212.363817368318
Trimmed Mean ( 262 / 285 )10.92192192192190.0515656296819456211.806235845229
Trimmed Mean ( 263 / 285 )10.92145015105740.0516998166543172211.247367163446
Trimmed Mean ( 264 / 285 )10.92097264437690.0518350065046977210.687205052963
Trimmed Mean ( 265 / 285 )10.92048929663610.0519712107940356210.125743268028
Trimmed Mean ( 266 / 285 )10.920.0521084412415396209.562975591272
Trimmed Mean ( 267 / 285 )10.91950464396280.0522467097262677208.998895838084
Trimmed Mean ( 268 / 285 )10.91900311526480.0523860282886634208.433497861256
Trimmed Mean ( 269 / 285 )10.91849529780560.0525264091320313207.866775555906
Trimmed Mean ( 270 / 285 )10.91798107255520.0526678646239450207.298722864710
Trimmed Mean ( 271 / 285 )10.91746031746030.0528104072975780206.729333783438
Trimmed Mean ( 272 / 285 )10.91693290734820.0529540498529505206.15860236684
Trimmed Mean ( 273 / 285 )10.91639871382640.0530988051580796205.586522734878
Trimmed Mean ( 274 / 285 )10.9158576051780.0532446862500251205.013089079342
Trimmed Mean ( 275 / 285 )10.91530944625410.0533917063358181204.438295670867
Trimmed Mean ( 276 / 285 )10.91475409836070.0535398787932594203.862136866377
Trimmed Mean ( 277 / 285 )10.91419141914190.0536892171715763203.284607116976
Trimmed Mean ( 278 / 285 )10.91362126245850.0538397351919214202.705700976331
Trimmed Mean ( 279 / 285 )10.91304347826090.0539914467476982202.125413109552
Trimmed Mean ( 280 / 285 )10.91245791245790.0541443659046977201.543738302624
Trimmed Mean ( 281 / 285 )10.91186440677970.0542985069010258200.960671472414
Trimmed Mean ( 282 / 285 )10.91126279863480.054453884146803200.376207677289
Trimmed Mean ( 283 / 285 )10.91065292096220.0546105122236139199.790342128386
Trimmed Mean ( 284 / 285 )10.91003460207610.0547684058836838199.203070201581
Trimmed Mean ( 285 / 285 )10.90940766550520.0549275800487571198.614387450191
Median11
Midrange50
Midmean - Weighted Average at Xnp11.1194852941176
Midmean - Weighted Average at X(n+1)p11.1194852941176
Midmean - Empirical Distribution Function11.1194852941176
Midmean - Empirical Distribution Function - Averaging11.1194852941176
Midmean - Empirical Distribution Function - Interpolation11.1194852941176
Midmean - Closest Observation11.1194852941176
Midmean - True Basic - Statistics Graphics Toolkit11.1194852941176
Midmean - MS Excel (old versions)11.1194852941176
Number of observations857
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Aug/12/t1250077986768wwvn5ezi7a4e/1r0tm1250077828.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Aug/12/t1250077986768wwvn5ezi7a4e/1r0tm1250077828.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Aug/12/t1250077986768wwvn5ezi7a4e/22oyv1250077828.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Aug/12/t1250077986768wwvn5ezi7a4e/22oyv1250077828.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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