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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: Wed, 19 Aug 2009 12:13:42 -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/19/t1250705772h59r2uye2sj6sjo.htm/, Retrieved Wed, 19 Aug 2009 20:16:12 +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/19/t1250705772h59r2uye2sj6sjo.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 «
8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 19 19 19 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 etc...
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time11 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean22.71103526734930.192237299015629118.140628190489
Geometric Mean21.9608902198970
Harmonic Mean21.1374208174231
Quadratic Mean23.4144777903203
Winsorized Mean ( 1 / 293 )22.7121729237770.192141484723163118.205461753877
Winsorized Mean ( 2 / 293 )22.7121729237770.192141484723163118.205461753877
Winsorized Mean ( 3 / 293 )22.7121729237770.192141484723163118.205461753877
Winsorized Mean ( 4 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 5 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 6 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 7 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 8 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 9 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 10 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 11 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 12 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 13 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 14 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 15 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 16 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 17 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 18 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 19 / 293 )22.71672354948810.191784698646056118.449092705839
Winsorized Mean ( 20 / 293 )22.67121729237770.187326200903238121.025340732172
Winsorized Mean ( 21 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 22 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 23 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 24 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 25 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 26 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 27 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 28 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 29 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 30 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 31 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 32 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 33 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 34 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 35 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 36 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 37 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 38 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 39 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 40 / 293 )22.64732650739480.1776581360514127.477001677212
Winsorized Mean ( 41 / 293 )22.41410693970420.162068544127627138.300168366129
Winsorized Mean ( 42 / 293 )22.41410693970420.162068544127627138.300168366129
Winsorized Mean ( 43 / 293 )22.41410693970420.162068544127627138.300168366129
Winsorized Mean ( 44 / 293 )22.41410693970420.162068544127627138.300168366129
Winsorized Mean ( 45 / 293 )22.41410693970420.162068544127627138.300168366129
Winsorized Mean ( 46 / 293 )22.46643913538110.158370627204958141.859886090530
Winsorized Mean ( 47 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 48 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 49 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 50 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 51 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 52 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 53 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 54 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 55 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 56 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 57 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 58 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 59 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 60 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 61 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 62 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 63 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 64 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 65 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 66 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 67 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 68 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 69 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 70 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 71 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 72 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 73 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 74 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 75 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 76 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 77 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 78 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 79 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 80 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 81 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 82 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 83 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 84 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 85 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 86 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 87 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 88 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 89 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 90 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 91 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 92 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 93 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 94 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 95 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 96 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 97 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 98 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 99 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 100 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 101 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 102 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 103 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 104 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 105 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 106 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 107 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 108 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 109 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 110 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 111 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 112 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 113 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 114 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 115 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 116 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 117 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 118 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 119 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 120 / 293 )22.57337883959040.151676693119028148.825626240915
Winsorized Mean ( 121 / 293 )22.29806598407280.137437702907092162.241259220887
Winsorized Mean ( 122 / 293 )22.29806598407280.137437702907092162.241259220887
Winsorized Mean ( 123 / 293 )22.29806598407280.137437702907092162.241259220887
Winsorized Mean ( 124 / 293 )22.29806598407280.137437702907092162.241259220887
Winsorized Mean ( 125 / 293 )22.15585893060300.116695034250688189.861197375434
Winsorized Mean ( 126 / 293 )22.15585893060300.116695034250688189.861197375434
Winsorized Mean ( 127 / 293 )22.01137656427760.111773617258613196.928193827255
Winsorized Mean ( 128 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 129 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 130 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 131 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 132 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 133 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 134 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 135 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 136 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 137 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 138 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 139 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 140 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 141 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 142 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 143 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 144 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 145 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 146 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 147 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 148 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 149 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 150 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 151 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 152 / 293 )22.30261660978380.0952475853541614234.154141827906
Winsorized Mean ( 153 / 293 )22.47667804323090.0867748561566195259.022936352241
Winsorized Mean ( 154 / 293 )22.47667804323090.0867748561566195259.022936352241
Winsorized Mean ( 155 / 293 )22.47667804323090.0867748561566195259.022936352241
Winsorized Mean ( 156 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 157 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 158 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 159 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 160 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 161 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 162 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 163 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 164 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 165 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 166 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 167 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 168 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 169 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 170 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 171 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 172 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 173 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 174 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 175 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 176 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 177 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 178 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 179 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 180 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 181 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 182 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 183 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 184 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 185 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 186 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 187 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 188 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 189 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 190 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 191 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 192 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 193 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 194 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 195 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 196 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 197 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 198 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 199 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 200 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 201 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 202 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 203 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 204 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 205 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 206 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 207 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 208 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 209 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 210 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 211 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 212 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 213 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 214 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 215 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 216 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 217 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 218 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 219 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 220 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 221 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 222 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 223 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 224 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 225 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 226 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 227 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 228 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 229 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 230 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 231 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 232 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 233 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 234 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 235 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 236 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 237 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 238 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 239 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 240 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 241 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 242 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 243 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 244 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 245 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 246 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 247 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 248 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 249 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 250 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 251 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 252 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 253 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 254 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 255 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 256 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 257 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 258 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 259 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 260 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 261 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 262 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 263 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 264 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 265 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 266 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 267 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 268 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 269 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 270 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 271 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 272 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 273 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 274 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 275 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 276 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 277 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 278 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 279 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 280 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 281 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 282 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 283 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 284 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 285 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 286 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 287 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 288 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 289 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 290 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 291 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 292 / 293 )22.65415244596130.079313435991373285.628180935516
Winsorized Mean ( 293 / 293 )22.65415244596130.079313435991373285.628180935516
Trimmed Mean ( 1 / 293 )22.70809578107180.190927309139308118.935818471642
Trimmed Mean ( 2 / 293 )22.7040.189693016054836119.688117528991
Trimmed Mean ( 3 / 293 )22.69988545246280.188438077218839120.463368059634
Trimmed Mean ( 4 / 293 )22.69575200918480.187161941818589121.262644470655
Trimmed Mean ( 5 / 293 )22.69044879171460.185958101309200122.019146420442
Trimmed Mean ( 6 / 293 )22.68512110726640.184733992387881122.798846135665
Trimmed Mean ( 7 / 293 )22.68512110726640.183489073635594123.631999757755
Trimmed Mean ( 8 / 293 )22.67439165701040.182222780092341124.432256194973
Trimmed Mean ( 9 / 293 )22.66898954703830.180934521762334125.288360265572
Trimmed Mean ( 10 / 293 )22.66356228172290.179623681992715126.172462507711
Trimmed Mean ( 11 / 293 )22.65810968494750.178289615712370127.085975223040
Trimmed Mean ( 12 / 293 )22.65263157894740.176931647515673128.030411161693
Trimmed Mean ( 13 / 293 )22.64712778429070.175549069574006129.007392857433
Trimmed Mean ( 14 / 293 )22.64712778429070.174141139355581130.050416966936
Trimmed Mean ( 15 / 293 )22.63604240282690.172707077131455131.066096298981
Trimmed Mean ( 16 / 293 )22.63046044864230.171246063242513132.151712104434
Trimmed Mean ( 17 / 293 )22.62485207100590.169757235098598133.277689506813
Trimmed Mean ( 18 / 293 )22.61921708185050.168239683876747134.446383639317
Trimmed Mean ( 19 / 293 )22.61355529131990.166692450880554135.660344375907
Trimmed Mean ( 20 / 293 )22.60786650774730.165114523516854136.922337455309
Trimmed Mean ( 21 / 293 )22.60454002389490.163791210884876138.008260038953
Trimmed Mean ( 22 / 293 )22.60239520958080.163015897602243138.651478426543
Trimmed Mean ( 23 / 293 )22.60024009603840.162228377234264139.311262809482
Trimmed Mean ( 24 / 293 )22.59807460890490.161428374576962139.988243505055
Trimmed Mean ( 25 / 293 )22.59589867310010.160615604797285140.683084321842
Trimmed Mean ( 26 / 293 )22.59371221281740.159789772947210141.396484869415
Trimmed Mean ( 27 / 293 )22.59151515151510.158950573445204142.12918306522
Trimmed Mean ( 28 / 293 )22.59151515151510.15809768952232142.895922260304
Trimmed Mean ( 29 / 293 )22.58708891595620.157230792629876143.655632196210
Trimmed Mean ( 30 / 293 )22.58485958485960.156349541805395144.451076249206
Trimmed Mean ( 31 / 293 )22.58261933904530.155453582993091145.269210938991
Trimmed Mean ( 32 / 293 )22.58036809815950.154542548314830146.111011785307
Trimmed Mean ( 33 / 293 )22.57810578105780.153616055287012146.977513117841
Trimmed Mean ( 34 / 293 )22.57583230579530.152673705978359147.869812690571
Trimmed Mean ( 35 / 293 )22.57354758961680.151715086102988148.789076745429
Trimmed Mean ( 36 / 293 )22.57125154894670.150739764042531149.736545577836
Trimmed Mean ( 37 / 293 )22.56894409937890.149747289790332150.713539663915
Trimmed Mean ( 38 / 293 )22.56662515566630.148737193809906151.721466417523
Trimmed Mean ( 39 / 293 )22.56429463171040.147708985798926152.761827655000
Trimmed Mean ( 40 / 293 )22.56195244055070.146662153348894153.836227856808
Trimmed Mean ( 41 / 293 )22.55959849435380.145596160489440154.946383328495
Trimmed Mean ( 42 / 293 )22.56352201257860.145054242926371155.552306208869
Trimmed Mean ( 43 / 293 )22.56746532156370.144503714998484156.172215515708
Trimmed Mean ( 44 / 293 )22.57142857142860.143944397512748156.806579217017
Trimmed Mean ( 45 / 293 )22.57541191381500.143376105746465157.455887062071
Trimmed Mean ( 46 / 293 )22.57941550190600.142798649205274158.120651893898
Trimmed Mean ( 47 / 293 )22.58216560509550.142326986689501158.663976034008
Trimmed Mean ( 48 / 293 )22.58237547892720.142045414411610158.979968290208
Trimmed Mean ( 49 / 293 )22.58258642765680.141759445763844159.302163647543
Trimmed Mean ( 50 / 293 )22.58279845956350.141469005944545159.630714224541
Trimmed Mean ( 51 / 293 )22.58301158301160.141174018427764159.965777233768
Trimmed Mean ( 52 / 293 )22.58322580645160.140874404909584160.307515200834
Trimmed Mean ( 53 / 293 )22.58344113842170.140570085252275160.65609619495
Trimmed Mean ( 54 / 293 )22.58365758754860.140260977426157161.011694071776
Trimmed Mean ( 55 / 293 )22.58387516254880.139946997449067161.374488729336
Trimmed Mean ( 56 / 293 )22.58387516254880.139628059323285161.743100004417
Trimmed Mean ( 57 / 293 )22.58409387222950.139304074969815162.120841598661
Trimmed Mean ( 58 / 293 )22.58453473132370.138974954159852162.507948772888
Trimmed Mean ( 59 / 293 )22.58475689881730.138640604443305162.901460142241
Trimmed Mean ( 60 / 293 )22.58498023715410.138300931074215163.303168400469
Trimmed Mean ( 61 / 293 )22.58520475561430.137955836932882163.713295919493
Trimmed Mean ( 62 / 293 )22.58543046357620.137605222444546164.132073349744
Trimmed Mean ( 63 / 293 )22.58565737051790.137248985494411164.559740016714
Trimmed Mean ( 64 / 293 )22.58588548601860.136887021338806164.996544340875
Trimmed Mean ( 65 / 293 )22.58611481975970.136519222512282165.442744282606
Trimmed Mean ( 66 / 293 )22.58634538152610.136145478730386165.898607813887
Trimmed Mean ( 67 / 293 )22.58657718120810.135765676787880166.364413418696
Trimmed Mean ( 68 / 293 )22.58681022880220.13537970045213166.840450624197
Trimmed Mean ( 69 / 293 )22.58704453441300.134987430351369167.327020564948
Trimmed Mean ( 70 / 293 )22.58728010825440.134588743857546167.824436582614
Trimmed Mean ( 71 / 293 )22.58751696065130.134183514963408168.333024863829
Trimmed Mean ( 72 / 293 )22.58775510204080.133771614153478168.853125119098
Trimmed Mean ( 73 / 293 )22.58799454297410.133352908268533169.385091305909
Trimmed Mean ( 74 / 293 )22.58823529411760.132927260363189169.929292399476
Trimmed Mean ( 75 / 293 )22.58847736625510.132494529556126170.486113214858
Trimmed Mean ( 76 / 293 )22.58872077028890.132054570872512171.055955284550
Trimmed Mean ( 77 / 293 )22.58896551724140.131607235078076171.639237796010
Trimmed Mean ( 78 / 293 )22.58921161825730.131152368504312172.236398594011
Trimmed Mean ( 79 / 293 )22.58945908460470.130689812864183172.84789525317
Trimmed Mean ( 80 / 293 )22.58970792767730.130219405057708173.474206226534
Trimmed Mean ( 81 / 293 )22.58995815899580.129740976966711174.115832076645
Trimmed Mean ( 82 / 293 )22.59020979020980.129254355237989174.773296796195
Trimmed Mean ( 83 / 293 )22.59046283309960.128759361054061175.447149226026
Trimmed Mean ( 84 / 293 )22.59071729957810.128255809890626176.137964579094
Trimmed Mean ( 85 / 293 )22.59097320169250.127743511259740176.846346079829
Trimmed Mean ( 86 / 293 )22.59123055162660.127222268437670177.572926729370
Trimmed Mean ( 87 / 293 )22.59148936170210.126691878176266178.318371208222
Trimmed Mean ( 88 / 293 )22.59174964438120.126152130396603179.083377929141
Trimmed Mean ( 89 / 293 )22.59201141226820.125602807863522179.868681254453
Trimmed Mean ( 90 / 293 )22.59227467811160.125043685839566180.675053893549
Trimmed Mean ( 91 / 293 )22.59253945480630.124474531716678181.503309498125
Trimmed Mean ( 92 / 293 )22.59280575539570.123895104623865182.354305474664
Trimmed Mean ( 93 / 293 )22.59307359307360.123305155008845183.228946035978
Trimmed Mean ( 94 / 293 )22.59334298118670.122704424191516184.12818551614
Trimmed Mean ( 95 / 293 )22.59361393323660.122092643886857185.053031976062
Trimmed Mean ( 96 / 293 )22.59388646288210.121469535694622186.004551130283
Trimmed Mean ( 97 / 293 )22.59416058394160.120834810552928186.983870629274
Trimmed Mean ( 98 / 293 )22.59443631039530.120188168152517187.992184735883
Trimmed Mean ( 99 / 293 )22.59471365638770.119529296308125189.030759439448
Trimmed Mean ( 100 / 293 )22.59499263622980.118857870283014190.100938056760
Trimmed Mean ( 101 / 293 )22.59527326440180.118173552062264191.204147375520
Trimmed Mean ( 102 / 293 )22.59555555555560.117475989569933192.341904403406
Trimmed Mean ( 103 / 293 )22.59583952451710.116764815824637193.515823794495
Trimmed Mean ( 104 / 293 )22.59612518628910.116039648027421194.727626034762
Trimmed Mean ( 105 / 293 )22.59641255605380.115300086575118195.979146479932
Trimmed Mean ( 106 / 293 )22.59670164917540.114545713991492197.272345352475
Trimmed Mean ( 107 / 293 )22.5969924812030.113776093767561198.60931882024
Trimmed Mean ( 108 / 293 )22.59728506787330.112990769101357199.992311297596
Trimmed Mean ( 109 / 293 )22.59757942511350.112189261526133201.423729131594
Trimmed Mean ( 110 / 293 )22.5978755690440.111371069414579202.906155861028
Trimmed Mean ( 111 / 293 )22.5978755690440.110535666344894204.439673783972
Trimmed Mean ( 112 / 293 )22.59817351598170.109682499312639206.032627425528
Trimmed Mean ( 113 / 293 )22.59847328244270.108810986770008207.685583535869
Trimmed Mean ( 114 / 293 )22.59877488514550.107920516471470209.402026825175
Trimmed Mean ( 115 / 293 )22.59938366718030.107010443101685211.188581339726
Trimmed Mean ( 116 / 293 )22.59969088098920.106080085657873213.043671117283
Trimmed Mean ( 117 / 293 )22.60.105128724554554214.974547591626
Trimmed Mean ( 118 / 293 )22.60031104199070.104155598413437216.986041905117
Trimmed Mean ( 119 / 293 )22.6006240249610.103159900495195219.083422109483
Trimmed Mean ( 120 / 293 )22.60093896713620.102140774722586221.272445098641
Trimmed Mean ( 121 / 293 )22.60125588697020.101097311235737223.559416276353
Trimmed Mean ( 122 / 293 )22.60472440944880.100345732690192225.268417534393
Trimmed Mean ( 123 / 293 )22.6082148499210.0995776330721406227.041094997128
Trimmed Mean ( 124 / 293 )22.61172741679870.0987924629645403228.881098195869
Trimmed Mean ( 125 / 293 )22.61526232114470.0979896437058752230.792372192172
Trimmed Mean ( 126 / 293 )22.62041467304630.0975840600809314231.804401807898
Trimmed Mean ( 127 / 293 )22.62560.0971700914204914232.845309387335
Trimmed Mean ( 128 / 293 )22.63242375601930.0968240011674685233.748073650394
Trimmed Mean ( 129 / 293 )22.63607085346220.0967734630205297233.907831206372
Trimmed Mean ( 130 / 293 )22.63974151857840.0967210050200635234.072645480493
Trimmed Mean ( 131 / 293 )22.64343598055110.0966665880993843234.242631562325
Trimmed Mean ( 132 / 293 )22.64715447154470.0966101722604469234.417907986866
Trimmed Mean ( 133 / 293 )22.65089722675370.0965517165464708234.59859686546
Trimmed Mean ( 134 / 293 )22.65466448445170.0964911790135745234.784824022770
Trimmed Mean ( 135 / 293 )22.65845648604270.0964285167013767234.976719140171
Trimmed Mean ( 136 / 293 )22.66227347611200.0963636856025191235.174415905898
Trimmed Mean ( 137 / 293 )22.66611570247930.0962966406310616235.378052172342
Trimmed Mean ( 138 / 293 )22.66998341625210.0962273355897001235.587770120891
Trimmed Mean ( 139 / 293 )22.67387687188020.0961557231357532235.803716434737
Trimmed Mean ( 140 / 293 )22.6777963272120.0960817547458617236.026042480128
Trimmed Mean ( 141 / 293 )22.68174204355110.0960053806793414236.254904496533
Trimmed Mean ( 142 / 293 )22.68571428571430.0959265499401265236.490463796246
Trimmed Mean ( 143 / 293 )22.68971332209110.0958452102372378236.732886973998
Trimmed Mean ( 144 / 293 )22.69373942470390.0957613079437054236.982346127151
Trimmed Mean ( 145 / 293 )22.69779286926990.0956747880538726237.239019087132
Trimmed Mean ( 146 / 293 )22.70187393526410.095585594139003237.503089662763
Trimmed Mean ( 147 / 293 )22.70598290598290.0954936683011077237.774747896239
Trimmed Mean ( 148 / 293 )22.71012006861060.095398951124906238.054190332514
Trimmed Mean ( 149 / 293 )22.71428571428570.0953013816278274238.341620302945
Trimmed Mean ( 150 / 293 )22.71848013816930.0952008972079548238.637248224074
Trimmed Mean ( 151 / 293 )22.72270363951470.0950974335898091238.941291912527
Trimmed Mean ( 152 / 293 )22.72695652173910.094990924767861239.253976917051
Trimmed Mean ( 153 / 293 )22.73123909249560.0948813029476556239.575536868798
Trimmed Mean ( 154 / 293 )22.73380035026270.0949056911779346239.540959747504
Trimmed Mean ( 155 / 293 )22.73637961335680.0949291201564126239.509010258333
Trimmed Mean ( 156 / 293 )22.73897707231040.094951567242687239.479744596440
Trimmed Mean ( 157 / 293 )22.73982300884960.0950800298842346239.165080580397
Trimmed Mean ( 158 / 293 )22.74067495559500.0952089351084809238.850218518717
Trimmed Mean ( 159 / 293 )22.74153297682710.0953382843861622238.535160594183
Trimmed Mean ( 160 / 293 )22.74239713774600.0954680791708503238.219909055110
Trimmed Mean ( 161 / 293 )22.74326750448830.0955983208980133237.904466217052
Trimmed Mean ( 162 / 293 )22.74414414414410.0957290109840431237.588834464563
Trimmed Mean ( 163 / 293 )22.74502712477400.0958601508252478237.273016252999
Trimmed Mean ( 164 / 293 )22.74591651542650.0959917417968076236.957014110384
Trimmed Mean ( 165 / 293 )22.74681238615660.0961237852516942236.640830639321
Trimmed Mean ( 166 / 293 )22.74771480804390.0962562825195497236.324468518964
Trimmed Mean ( 167 / 293 )22.7486238532110.0963892349055273236.007930507046
Trimmed Mean ( 168 / 293 )22.74953959484350.0965226436890883235.691219441965
Trimmed Mean ( 169 / 293 )22.75046210720890.0966565101227573235.374338244935
Trimmed Mean ( 170 / 293 )22.75139146567720.0967908354308325235.057289922200
Trimmed Mean ( 171 / 293 )22.75232774674120.0969256208080484234.740077567312
Trimmed Mean ( 172 / 293 )22.75327102803740.0970608674181923234.422704363475
Trimmed Mean ( 173 / 293 )22.75422138836770.0971965763926693234.105173585969
Trimmed Mean ( 174 / 293 )22.75517890772130.0973327488290164233.787488604633
Trimmed Mean ( 175 / 293 )22.75614366729680.0974693857893632233.469652886436
Trimmed Mean ( 176 / 293 )22.75711574952560.0976064882988364233.151669998120
Trimmed Mean ( 177 / 293 )22.75809523809520.0977440573439074232.833543608918
Trimmed Mean ( 178 / 293 )22.75908221797320.0978820938706795232.515277493371
Trimmed Mean ( 179 / 293 )22.76007677543190.0980205987831138232.196875534215
Trimmed Mean ( 180 / 293 )22.76107899807320.0981595729411904231.878341725365
Trimmed Mean ( 181 / 293 )22.76208897485490.0982990171590029231.559680174994
Trimmed Mean ( 182 / 293 )22.76310679611650.0984389322027842231.240895108701
Trimmed Mean ( 183 / 293 )22.76413255360620.09857931878886230.921990872782
Trimmed Mean ( 184 / 293 )22.76516634050880.0987201775815282230.602971937608
Trimmed Mean ( 185 / 293 )22.76620825147350.098861509190861230.283842901096
Trimmed Mean ( 186 / 293 )22.7672583826430.0990033141704264229.964608492307
Trimmed Mean ( 187 / 293 )22.76831683168320.0991455930149269229.645273575148
Trimmed Mean ( 188 / 293 )22.76938369781310.0992883461577515229.325843152193
Trimmed Mean ( 189 / 293 )22.77045908183630.0994315739684383229.006322368629
Trimmed Mean ( 190 / 293 )22.77154308617230.0995752767500435228.686716516330
Trimmed Mean ( 191 / 293 )22.77263581488930.0997194547364135228.367031038064
Trimmed Mean ( 192 / 293 )22.77373737373740.0998641080893573228.047271531827
Trimmed Mean ( 193 / 293 )22.77484787018260.100009236895713227.727443755335
Trimmed Mean ( 194 / 293 )22.77596741344200.100154841164309227.407553630651
Trimmed Mean ( 195 / 293 )22.77709611451940.100300920822807227.087607248968
Trimmed Mean ( 196 / 293 )22.77823408624230.100447475714433226.767610875555
Trimmed Mean ( 197 / 293 )22.77938144329900.100594505594586226.447570954859
Trimmed Mean ( 198 / 293 )22.78053830227740.100742010127316226.12749411579
Trimmed Mean ( 199 / 293 )22.78170478170480.100889988881675225.80738717717
Trimmed Mean ( 200 / 293 )22.78288100208770.101038441327931225.487257153378
Trimmed Mean ( 201 / 293 )22.78406708595390.101187366833635225.167111260181
Trimmed Mean ( 202 / 293 )22.78526315789470.101336764659547224.846956920763
Trimmed Mean ( 203 / 293 )22.78646934460890.101486633955404224.526801771965
Trimmed Mean ( 204 / 293 )22.78768577494690.101636973755525224.206653670739
Trimmed Mean ( 205 / 293 )22.78891257995740.101787782974259223.886520700822
Trimmed Mean ( 206 / 293 )22.79014989293360.101939060401254223.566411179648
Trimmed Mean ( 207 / 293 )22.79139784946240.102090804696538223.246333665497
Trimmed Mean ( 208 / 293 )22.7926565874730.102243014385430222.926296964900
Trimmed Mean ( 209 / 293 )22.79392624728850.102395687853241222.606310140305
Trimmed Mean ( 210 / 293 )22.79520697167760.102548823339778222.286382518009
Trimmed Mean ( 211 / 293 )22.79649890590810.102702418933631221.966523696387
Trimmed Mean ( 212 / 293 )22.79780219780220.102856472566251221.646743554403
Trimmed Mean ( 213 / 293 )22.79911699779250.103010982005782221.327052260436
Trimmed Mean ( 214 / 293 )22.80044345898000.103165944850669221.007460281426
Trimmed Mean ( 215 / 293 )22.80178173719380.103321358523006220.687978392354
Trimmed Mean ( 216 / 293 )22.80313199105150.103477220261627220.368617686067
Trimmed Mean ( 217 / 293 )22.80449438202250.103633527114932220.049389583467
Trimmed Mean ( 218 / 293 )22.80586907449210.103790275933419219.730305844084
Trimmed Mean ( 219 / 293 )22.80725623582770.103947463361932219.411378577037
Trimmed Mean ( 220 / 293 )22.80865603644650.104105085831598219.092620252407
Trimmed Mean ( 221 / 293 )22.81006864988560.104263139551439218.774043713043
Trimmed Mean ( 222 / 293 )22.81006864988560.104421620499660218.442009813092
Trimmed Mean ( 223 / 293 )22.81149425287360.104580524414578218.123731742291
Trimmed Mean ( 224 / 293 )22.81293302540420.104739846785195217.805674970957
Trimmed Mean ( 225 / 293 )22.81438515081210.104899582841385217.487853934643
Trimmed Mean ( 226 / 293 )22.81585081585080.105059727543686217.170283507194
Trimmed Mean ( 227 / 293 )22.81733021077280.105220275572682216.852979015547
Trimmed Mean ( 228 / 293 )22.81882352941180.105381221317946216.535956255099
Trimmed Mean ( 229 / 293 )22.82185273159140.105542558866539216.233649976691
Trimmed Mean ( 230 / 293 )22.82338902147970.105704281991025215.917355395476
Trimmed Mean ( 231 / 293 )22.82494004796160.105866384137005215.601394474974
Trimmed Mean ( 232 / 293 )22.82650602409640.106028858410130215.285785081277
Trimmed Mean ( 233 / 293 )22.82808716707020.106191697562572214.970545636293
Trimmed Mean ( 234 / 293 )22.82968369829680.106354893978934214.655695137252
Trimmed Mean ( 235 / 293 )22.83129584352080.106518439661574214.341253177002
Trimmed Mean ( 236 / 293 )22.83292383292380.106682326215305214.027239965152
Trimmed Mean ( 237 / 293 )22.83456790123460.106846544831453213.71367635009
Trimmed Mean ( 238 / 293 )22.83622828784120.107011086271240213.400583841926
Trimmed Mean ( 239 / 293 )22.83790523690770.107175940848457213.087984636401
Trimmed Mean ( 240 / 293 )22.83959899749370.107341098411401212.775901639812
Trimmed Mean ( 241 / 293 )22.84130982367760.107506548324033212.464358495001
Trimmed Mean ( 242 / 293 )22.84303797468350.107672279446321212.153379608459
Trimmed Mean ( 243 / 293 )22.84478371501270.107838280113739211.842990178608
Trimmed Mean ( 244 / 293 )22.8465473145780.108004538115864211.533216225312
Trimmed Mean ( 245 / 293 )22.84832904884320.108171040674048211.224084620689
Trimmed Mean ( 246 / 293 )22.85012919896640.108337774418103210.915623121276
Trimmed Mean ( 247 / 293 )22.85194805194810.108504725361953210.607860401636
Trimmed Mean ( 248 / 293 )22.85378590078330.108671878878218210.300826089462
Trimmed Mean ( 249 / 293 )22.85564304461940.108839219671657209.994550802273
Trimmed Mean ( 250 / 293 )22.85751978891820.109006731751419209.689066185774
Trimmed Mean ( 251 / 293 )22.85941644562330.109174398402059209.384404953975
Trimmed Mean ( 252 / 293 )22.86133333333330.109342202153227209.080600931162
Trimmed Mean ( 253 / 293 )22.86327077747990.109510124747990208.777689095816
Trimmed Mean ( 254 / 293 )22.86522911051210.109678147109702208.475705626591
Trimmed Mean ( 255 / 293 )22.86720867208670.109846249307355208.174687950457
Trimmed Mean ( 256 / 293 )22.86920980926430.110014410519328207.874674793141
Trimmed Mean ( 257 / 293 )22.87123287671230.110182608995454207.575706231970
Trimmed Mean ( 258 / 293 )22.87327823691460.110350822017317207.277823751282
Trimmed Mean ( 259 / 293 )22.87534626038780.110519025856689206.981070300515
Trimmed Mean ( 260 / 293 )22.87743732590530.110687195731998206.685490355157
Trimmed Mean ( 261 / 293 )22.87955182072830.110855305762738206.391129980707
Trimmed Mean ( 262 / 293 )22.88169014084510.111023328921701206.098036899814
Trimmed Mean ( 263 / 293 )22.88385269121810.111191236984918205.806260562800
Trimmed Mean ( 264 / 293 )22.88603988603990.111359000479178205.515852221744
Trimmed Mean ( 265 / 293 )22.88825214899710.111526588627007205.226865008355
Trimmed Mean ( 266 / 293 )22.89048991354470.111693969288954204.939354015852
Trimmed Mean ( 267 / 293 )22.89275362318840.111861108903042204.653376385095
Trimmed Mean ( 268 / 293 )22.89504373177840.112027972421229204.368991395224
Trimmed Mean ( 269 / 293 )22.89736070381230.112194523242700204.086260559089
Trimmed Mean ( 270 / 293 )22.89970501474930.112360723143831203.805247723760
Trimmed Mean ( 271 / 293 )22.90207715133530.112526532204619203.526019176439
Trimmed Mean ( 272 / 293 )22.90447761194030.112691908731378203.248643756113
Trimmed Mean ( 273 / 293 )22.90690690690690.112856809175503202.973192971321
Trimmed Mean ( 274 / 293 )22.90936555891240.113021188048049202.699741124406
Trimmed Mean ( 275 / 293 )22.91185410334350.113184997829902202.428365442708
Trimmed Mean ( 276 / 293 )22.9143730886850.113348188877270202.159146217113
Trimmed Mean ( 277 / 293 )22.91692307692310.113510709322226201.892166948478
Trimmed Mean ( 278 / 293 )22.91950464396280.113672504967997201.627514502435
Trimmed Mean ( 279 / 293 )22.92211838006230.113833519178691201.365279273147
Trimmed Mean ( 280 / 293 )22.92476489028210.113993692763131201.105555356626
Trimmed Mean ( 281 / 293 )22.92744479495270.114152963852413200.848440734270
Trimmed Mean ( 282 / 293 )22.93015873015870.114311267770829200.594037467322
Trimmed Mean ( 283 / 293 )22.93290734824280.114468536899725200.342451903025
Trimmed Mean ( 284 / 293 )22.93569131832800.114624700533862200.093794893295
Trimmed Mean ( 285 / 293 )22.93851132686080.114779684729795199.848182026817
Trimmed Mean ( 286 / 293 )22.94136807817590.114933412145781199.605733875518
Trimmed Mean ( 287 / 293 )22.94426229508200.115085801872648199.366576256485
Trimmed Mean ( 288 / 293 )22.94719471947190.115236769255067199.130840510464
Trimmed Mean ( 289 / 293 )22.95016611295680.115386225702579198.898663798168
Trimmed Mean ( 290 / 293 )22.95317725752510.115534078489710198.670189415752
Trimmed Mean ( 291 / 293 )22.95622895622900.115680230544454198.445567130913
Trimmed Mean ( 292 / 293 )22.95932203389830.115824580224336198.224953541203
Trimmed Mean ( 293 / 293 )22.96245733788400.115967021079218198.008512456297
Median22
Midrange24
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 observations879
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Aug/19/t1250705772h59r2uye2sj6sjo/16ydl1250705608.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Aug/19/t1250705772h59r2uye2sj6sjo/16ydl1250705608.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Aug/19/t1250705772h59r2uye2sj6sjo/2x5xr1250705608.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Aug/19/t1250705772h59r2uye2sj6sjo/2x5xr1250705608.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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