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*The author of this computation has been verified*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Wed, 20 Oct 2010 18:16:50 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Oct/20/t12875985542ht48qi15rlud0p.htm/, Retrieved Wed, 20 Oct 2010 20:15:54 +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/2010/Oct/20/t12875985542ht48qi15rlud0p.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
-4.5741188614556E-14 -4.5741188614556E-14 -4.5741188614556E-14 0.0039920212695539 1.6875389974302E-14 1.6875389974302E-14 -0.015052968628983 -2.0872192862953E-14 0.015052968628979 1.6875389974302E-14 1.6875389974302E-14 1.6875389974302E-14 -0.015052968628983 -2.0872192862953E-14 -2.0872192862953E-14 0.0030287756621794 1.8651746813703E-14 -0.010131798930381 2.5757174171304E-14 2.5757174171304E-14 2.5757174171304E-14 -0.0020387366898742 -0.0061412680221262 0.0061412680220565 -0.0061412680221262 -4.3520742565306E-14 0.0061412680220565 -0.0010209291341265 -1.9095836023553E-14 -1.9095836023553E-14 -1.9095836023553E-14 -1.9095836023553E-14 -1.9095836023553E-14 -0.0082051742392188 -3.3306690738755E-14 0.0082051742391664 -1.9095836023553E-14 -1.9095836023553E-14 -1.9095836023553E-14 -1.9095836023553E-14 -1.9095836023553E-14 -0.0082051742392188 -3.3306690738755E-14 -3.3306690738755E-14 -3.3306690738755E-14 -3.3306690738755E-14 -0.0020618564005335 2.5313084961454E-14 -0.0 etc...
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean1.89342394584107e-050.000186318789623880.101622812689118
Geometric MeanNaN
Harmonic Mean2.54791798974847e-13
Quadratic Mean0.00467288983127238
Winsorized Mean ( 1 / 210 )1.79409343025868e-050.0001861352208960370.096386563575775
Winsorized Mean ( 2 / 210 )1.29318625548472e-050.0001813393619161260.071313047637327
Winsorized Mean ( 3 / 210 )-9.25222550667189e-060.000178792308455131-0.0517484537596526
Winsorized Mean ( 4 / 210 )-9.65628739962426e-060.000178755267629679-0.0540195963322818
Winsorized Mean ( 5 / 210 )-9.65628739962426e-060.000178755267629679-0.0540195963322818
Winsorized Mean ( 6 / 210 )-9.65628739962426e-060.000178755267629679-0.0540195963322818
Winsorized Mean ( 7 / 210 )-8.38229655879094e-060.000178639649355314-0.046922934460751
Winsorized Mean ( 8 / 210 )-8.38229655879094e-060.000178639649355314-0.046922934460751
Winsorized Mean ( 9 / 210 )-1.00202847838052e-050.000178490621410806-0.0561389988146378
Winsorized Mean ( 10 / 210 )-9.69373663042429e-060.000178461148569579-0.054318470480116
Winsorized Mean ( 11 / 210 )-8.27136544759095e-060.000178333350441374-0.0463814840416522
Winsorized Mean ( 12 / 210 )-1.02149008860290e-050.000178158083702338-0.0573361627704518
Winsorized Mean ( 13 / 210 )-1.02149008860291e-050.000178158083702338-0.0573361627704521
Winsorized Mean ( 14 / 210 )-1.02149008860290e-050.000178158083702338-0.0573361627704516
Winsorized Mean ( 15 / 210 )-1.02149008860290e-050.000178158083702338-0.0573361627704518
Winsorized Mean ( 16 / 210 )-1.02149008860290e-050.000178158083702338-0.0573361627704518
Winsorized Mean ( 17 / 210 )-1.02149008860290e-050.000178158083702338-0.0573361627704518
Winsorized Mean ( 18 / 210 )-1.02149008834576e-050.000178054831555717-0.0573694114010109
Winsorized Mean ( 19 / 210 )-1.02149008834576e-050.000178054831555717-0.0573694114010109
Winsorized Mean ( 20 / 210 )-1.02149008834576e-050.000178054831555717-0.0573694114010109
Winsorized Mean ( 21 / 210 )-1.02149008834576e-050.000178054831555717-0.0573694114010109
Winsorized Mean ( 22 / 210 )-1.02149008834576e-050.000178054831555717-0.0573694114010109
Winsorized Mean ( 23 / 210 )-1.02149008834576e-050.000178054831555717-0.0573694114010109
Winsorized Mean ( 24 / 210 )-1.02149008834576e-050.000178054831555717-0.0573694114010109
Winsorized Mean ( 25 / 210 )-1.02149008834576e-050.000178054831555717-0.0573694114010109
Winsorized Mean ( 26 / 210 )-1.02149008834576e-050.000178054831555717-0.0573694114010109
Winsorized Mean ( 27 / 210 )-9.35429667624331e-060.000177977893336102-0.0525587560393144
Winsorized Mean ( 28 / 210 )-1.02467751118433e-050.000177897914199152-0.0575991863534293
Winsorized Mean ( 29 / 210 )-1.02467751118433e-050.000177897914199152-0.0575991863534293
Winsorized Mean ( 30 / 210 )-1.02467751118433e-050.000177897914199152-0.0575991863534293
Winsorized Mean ( 31 / 210 )-1.02467751118433e-050.000177897914199152-0.0575991863534293
Winsorized Mean ( 32 / 210 )-1.02467751118433e-050.000177897914199152-0.0575991863534293
Winsorized Mean ( 33 / 210 )-1.02467751118432e-050.000177897914199152-0.0575991863534288
Winsorized Mean ( 34 / 210 )-5.95492853444262e-060.000177515401013039-0.0335459824919935
Winsorized Mean ( 35 / 210 )3.24158165429851e-050.0001734109179163160.186930655419448
Winsorized Mean ( 36 / 210 )-1.15955436802893e-050.000169519920254722-0.0684022483190512
Winsorized Mean ( 37 / 210 )-1.15955436802894e-050.000169519920254722-0.0684022483190517
Winsorized Mean ( 38 / 210 )-1.15955436802892e-050.000169519920254722-0.0684022483190507
Winsorized Mean ( 39 / 210 )-1.15955436802893e-050.000169519920254722-0.0684022483190512
Winsorized Mean ( 40 / 210 )-5.61340455120954e-070.000168578986226828-0.00332983646233139
Winsorized Mean ( 41 / 210 )-1.18713987625063e-050.000167607727941731-0.0708284689989561
Winsorized Mean ( 42 / 210 )-1.18713987625063e-050.000167607727941731-0.0708284689989561
Winsorized Mean ( 43 / 210 )-1.18713987625063e-050.000167607727941731-0.0708284689989561
Winsorized Mean ( 44 / 210 )-1.18713987633445e-050.000158458534278263-0.0749180144661543
Winsorized Mean ( 45 / 210 )-1.24719012643374e-050.000158409043336490-0.0787322554422905
Winsorized Mean ( 46 / 210 )-1.24706446446174e-050.000158308119091152-0.0787745108476521
Winsorized Mean ( 47 / 210 )-1.18447370761144e-050.000158256690783583-0.0748450951265761
Winsorized Mean ( 48 / 210 )-1.18447370761143e-050.000158256690783583-0.0748450951265756
Winsorized Mean ( 49 / 210 )-1.18447370761144e-050.000158256690783583-0.0748450951265761
Winsorized Mean ( 50 / 210 )-1.18447370761144e-050.000158256690783583-0.0748450951265761
Winsorized Mean ( 51 / 210 )-1.58907756422821e-050.000157923968718484-0.100622950216057
Winsorized Mean ( 52 / 210 )-1.17654029885628e-050.000157585152080903-0.074660606238604
Winsorized Mean ( 53 / 210 )-1.17654029885628e-050.000157585152080903-0.074660606238604
Winsorized Mean ( 54 / 210 )-1.17654029885628e-050.000157585152080903-0.074660606238604
Winsorized Mean ( 55 / 210 )-1.17654029885628e-050.000157585152080903-0.074660606238604
Winsorized Mean ( 56 / 210 )-1.61542056444206e-050.000157224869803470-0.102745867524732
Winsorized Mean ( 57 / 210 )-1.61542056444206e-050.000157224869803470-0.102745867524732
Winsorized Mean ( 58 / 210 )-1.16086600337507e-050.000156852130613833-0.0740102157893598
Winsorized Mean ( 59 / 210 )-2.51497982214295e-050.000155745403388686-0.161480195718293
Winsorized Mean ( 60 / 210 )-2.51497982214295e-050.000155745403388686-0.161480195718293
Winsorized Mean ( 61 / 210 )-1.79636896557374e-050.000154041843942141-0.116615649332818
Winsorized Mean ( 62 / 210 )-9.24216214723091e-050.000148125621627768-0.623940817643012
Winsorized Mean ( 63 / 210 )-9.72529250261906e-060.000127018080956653-0.0765662056092468
Winsorized Mean ( 64 / 210 )-9.72529250261897e-060.000127018080956653-0.076566205609246
Winsorized Mean ( 65 / 210 )-9.72529250261897e-060.000127018080956653-0.076566205609246
Winsorized Mean ( 66 / 210 )-9.72529250261897e-060.000127018080956653-0.076566205609246
Winsorized Mean ( 67 / 210 )-9.72529250261906e-060.000127018080956653-0.0765662056092468
Winsorized Mean ( 68 / 210 )-9.72529250261897e-060.000127018080956653-0.076566205609246
Winsorized Mean ( 69 / 210 )-9.72529250261897e-060.000127018080956653-0.076566205609246
Winsorized Mean ( 70 / 210 )-9.72529250261906e-060.000127018080956653-0.0765662056092468
Winsorized Mean ( 71 / 210 )-9.72529250437718e-060.000126124653545847-0.0771085765626466
Winsorized Mean ( 72 / 210 )-9.72529250949716e-060.000125788993954381-0.0773143357281654
Winsorized Mean ( 73 / 210 )-9.72529250949707e-060.000125788993954381-0.0773143357281647
Winsorized Mean ( 74 / 210 )-1.84601063526727e-050.000124997320454040-0.147684016630263
Winsorized Mean ( 75 / 210 )-9.60725447285127e-060.000124310410520684-0.0772843918108752
Winsorized Mean ( 76 / 210 )-1.40116364254526e-050.000123968919710763-0.113025397479817
Winsorized Mean ( 77 / 210 )-1.40116364254525e-050.000123968919710763-0.113025397479817
Winsorized Mean ( 78 / 210 )-2.48923229319011e-050.000122428836942048-0.203320749862910
Winsorized Mean ( 79 / 210 )-2.48923229319011e-050.000122428836942048-0.203320749862910
Winsorized Mean ( 80 / 210 )-0.0001087309241105170.000113696117218904-0.956329264095915
Winsorized Mean ( 81 / 210 )-0.0001167065717963560.000113115062398059-1.03175093857667
Winsorized Mean ( 82 / 210 )-0.0002548110475300070.000103573590579593-2.4601932413861
Winsorized Mean ( 83 / 210 )-0.000279725714680768.66148868782735e-05-3.22953391457845
Winsorized Mean ( 84 / 210 )0.0001255362595014405.38761182120393e-052.33009102488358
Winsorized Mean ( 85 / 210 )0.0001253904899410355.3523585291408e-052.34271469779816
Winsorized Mean ( 86 / 210 )-2.85760592018949e-064.30389257646777e-05-0.066395846769362
Winsorized Mean ( 87 / 210 )-0.0001345171442312693.28971559735711e-05-4.08902047153671
Winsorized Mean ( 88 / 210 )-1.78030788672633e-062.18036220923829e-05-0.0816519328386399
Winsorized Mean ( 89 / 210 )-4.79505579150397e-062.15580188013235e-05-0.222425624343995
Winsorized Mean ( 90 / 210 )-0.0001453894883135841.41085171943806e-05-10.3050863751644
Winsorized Mean ( 91 / 210 )-9.6712761256237e-151.26167605726054e-15-7.66541939982823
Winsorized Mean ( 92 / 210 )-9.60642500291545e-151.25859506028541e-15-7.6326574813801
Winsorized Mean ( 93 / 210 )-9.60642500291545e-151.25859506028541e-15-7.6326574813801
Winsorized Mean ( 94 / 210 )-9.60642500291546e-151.25859506028541e-15-7.6326574813801
Winsorized Mean ( 95 / 210 )-9.60642500291545e-151.25859506028541e-15-7.6326574813801
Winsorized Mean ( 96 / 210 )-1.10275104744356e-141.17811245511136e-15-9.360320762752
Winsorized Mean ( 97 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 98 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 99 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 100 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 101 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 102 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 103 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 104 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 105 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 106 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 107 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 108 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 109 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 110 / 210 )-1.08223835536952e-141.16824921189243e-15-9.26376276870257
Winsorized Mean ( 111 / 210 )-1.12918492898224e-141.14361857641243e-15-9.87378967316642
Winsorized Mean ( 112 / 210 )-1.12918492898224e-141.14361857641243e-15-9.87378967316642
Winsorized Mean ( 113 / 210 )-1.12918492898224e-141.14361857641243e-15-9.87378967316642
Winsorized Mean ( 114 / 210 )-1.13722082897000e-141.13949260250565e-15-9.98006328842627
Winsorized Mean ( 115 / 210 )-1.13722082897000e-141.13949260250565e-15-9.98006328842627
Winsorized Mean ( 116 / 210 )-1.13722082897000e-141.13949260250565e-15-9.98006328842627
Winsorized Mean ( 117 / 210 )-1.13722082897000e-141.13949260250565e-15-9.98006328842627
Winsorized Mean ( 118 / 210 )-1.13722082897000e-141.13949260250565e-15-9.98006328842627
Winsorized Mean ( 119 / 210 )-1.13722082897000e-141.13949260250565e-15-9.98006328842627
Winsorized Mean ( 120 / 210 )-1.13722082897000e-141.13949260250565e-15-9.98006328842627
Winsorized Mean ( 121 / 210 )-1.13722082897000e-141.13949260250565e-15-9.98006328842627
Winsorized Mean ( 122 / 210 )-1.13722082897000e-141.13949260250565e-15-9.98006328842627
Winsorized Mean ( 123 / 210 )-1.13722082897000e-141.13949260250565e-15-9.98006328842627
Winsorized Mean ( 124 / 210 )-1.13722082897000e-141.13949260250565e-15-9.98006328842627
Winsorized Mean ( 125 / 210 )-1.23414506127855e-141.09152124361177e-15-11.3066517807281
Winsorized Mean ( 126 / 210 )-1.23414506127855e-141.09152124361177e-15-11.3066517807281
Winsorized Mean ( 127 / 210 )-1.20728823763524e-141.07858749833276e-15-11.1932341094387
Winsorized Mean ( 128 / 210 )-1.20728823763524e-141.07858749833276e-15-11.1932341094387
Winsorized Mean ( 129 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 130 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 131 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 132 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 133 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 134 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 135 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 136 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 137 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 138 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 139 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 140 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 141 / 210 )-1.23456800338317e-141.06565430232522e-15-11.5850703243011
Winsorized Mean ( 142 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 143 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 144 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 145 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 146 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 147 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 148 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 149 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 150 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 151 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 152 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 153 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 154 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 155 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 156 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 157 / 210 )-1.24457763319249e-141.06097450674896e-15-11.7305140253193
Winsorized Mean ( 158 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 159 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 160 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 161 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 162 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 163 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 164 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 165 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 166 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 167 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 168 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 169 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 170 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 171 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 172 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 173 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 174 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 175 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 176 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 177 / 210 )-1.23344015777085e-141.05565459301810e-15-11.6841262845688
Winsorized Mean ( 178 / 210 )-1.27108200508197e-141.03821576017341e-15-12.2429465419565
Winsorized Mean ( 179 / 210 )-1.25846423229417e-141.03219019361461e-15-12.1921738850005
Winsorized Mean ( 180 / 210 )-1.06814028521557e-149.44774958993258e-16-11.3057641404232
Winsorized Mean ( 181 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 182 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 183 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 184 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 185 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 186 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 187 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 188 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 189 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 190 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 191 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 192 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 193 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 194 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 195 / 210 )-1.00434651776887e-149.17117642708087e-16-10.9511198018523
Winsorized Mean ( 196 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 197 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 198 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 199 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 200 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 201 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 202 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 203 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 204 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 205 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 206 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 207 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 208 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 209 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Winsorized Mean ( 210 / 210 )-1.01816262651976e-149.10577464663653e-16-11.1815047706660
Trimmed Mean ( 1 / 210 )7.9659757468578e-060.0001820288743421350.0437621546342435
Trimmed Mean ( 2 / 210 )-2.07272056322091e-060.000177770372204392-0.0116595388619528
Trimmed Mean ( 3 / 210 )-9.64714954109181e-060.000175919961536826-0.0548382881443067
Trimmed Mean ( 4 / 210 )-9.78048402216605e-060.000174923218671729-0.0559130119856798
Trimmed Mean ( 5 / 210 )-9.81203397063433e-060.000173915733836633-0.0564183225644852
Trimmed Mean ( 6 / 210 )-9.84378812588882e-060.000172887333193833-0.0569375901868556
Trimmed Mean ( 7 / 210 )-9.87574847695664e-060.000171837410387411-0.0574714694238674
Trimmed Mean ( 8 / 210 )-1.00946583672415e-050.000170783526721133-0.0591079160914902
Trimmed Mean ( 9 / 210 )-1.03149990411230e-050.000169707297656665-0.0607811165668982
Trimmed Mean ( 10 / 210 )-1.03488187099956e-050.000168626758336437-0.0613711537367518
Trimmed Mean ( 11 / 210 )-1.04166972807406e-050.000167526366360968-0.0621794497607368
Trimmed Mean ( 12 / 210 )-1.06194514143866e-050.000166415585613363-0.0638128416593085
Trimmed Mean ( 13 / 210 )-1.06546151606429e-050.000165297715836349-0.0644571227541422
Trimmed Mean ( 14 / 210 )-1.06900125530536e-050.000164155323353324-0.0651213273787332
Trimmed Mean ( 15 / 210 )-1.07256459280805e-050.000162987626967629-0.0658065040127905
Trimmed Mean ( 16 / 210 )-1.07615176534420e-050.000161793806430225-0.0665137800443736
Trimmed Mean ( 17 / 210 )-1.07976301286381e-050.000160572999600986-0.0672443695731506
Trimmed Mean ( 18 / 210 )-1.08339857854854e-050.000159324299333533-0.0679995821780158
Trimmed Mean ( 19 / 210 )-1.08705870888147e-050.000158054071424219-0.0687776467310222
Trimmed Mean ( 20 / 210 )-1.09074365365734e-050.000156754208847596-0.0695830537295373
Trimmed Mean ( 21 / 210 )-1.09445366608475e-050.000155423659070026-0.070417443047821
Trimmed Mean ( 22 / 210 )-1.09818900282906e-050.000154061309494190-0.0712825956390093
Trimmed Mean ( 23 / 210 )-1.10194992407163e-050.000152665982436278-0.0721804495334494
Trimmed Mean ( 24 / 210 )-1.10573669357015e-050.000151236429539181-0.0731131181117767
Trimmed Mean ( 25 / 210 )-1.10954957872040e-050.000149771325541501-0.0740829110451418
Trimmed Mean ( 26 / 210 )-1.11338885061908e-050.000148269261308292-0.0750923583752163
Trimmed Mean ( 27 / 210 )-1.11725478412818e-050.000146728736012666-0.076144238305967
Trimmed Mean ( 28 / 210 )-1.12464604902671e-050.000145152358341044-0.0774803841894383
Trimmed Mean ( 29 / 210 )-1.12857837787540e-050.000143538658082745-0.078625395621632
Trimmed Mean ( 30 / 210 )-1.13253830201426e-050.00014188167696933-0.0798227316032554
Trimmed Mean ( 31 / 210 )-1.13652611294283e-050.000140179469467969-0.0810765026616492
Trimmed Mean ( 32 / 210 )-1.14054210628080e-050.000138429943315486-0.0823912860876828
Trimmed Mean ( 33 / 210 )-1.14458658184101e-050.000136630843100804-0.0837721963697872
Trimmed Mean ( 34 / 210 )-1.14865984370415e-050.000134779731367897-0.0852249690696256
Trimmed Mean ( 35 / 210 )-1.16696316323480e-050.000132893005538368-0.0878122334962078
Trimmed Mean ( 36 / 210 )-1.30917428638104e-050.000131149355974188-0.099823157853608
Trimmed Mean ( 37 / 210 )-1.31388354640112e-050.000129539058429789-0.101427597384711
Trimmed Mean ( 38 / 210 )-1.31862680829859e-050.000127882970946627-0.103111993609293
Trimmed Mean ( 39 / 210 )-1.32340444165909e-050.000126178858000726-0.104883215986269
Trimmed Mean ( 40 / 210 )-1.32821682144404e-050.000124424299045704-0.106748989677342
Trimmed Mean ( 41 / 210 )-1.36477759465741e-050.000122659496480617-0.111265546803633
Trimmed Mean ( 42 / 210 )-1.36977677997842e-050.000120884610606672-0.113312751152033
Trimmed Mean ( 43 / 210 )-1.36977677997842e-050.000119054795114556-0.115054314163525
Trimmed Mean ( 44 / 210 )-1.37988583369029e-050.000117166984957386-0.117770874977466
Trimmed Mean ( 45 / 210 )-1.38499652195352e-050.00011561771100092-0.119791034605632
Trimmed Mean ( 46 / 210 )-1.38858256198563e-050.000114024243094518-0.121779590401192
Trimmed Mean ( 47 / 210 )-1.39219857437369e-050.000112386437500645-0.123876030358708
Trimmed Mean ( 48 / 210 )-1.39741280124676e-050.000110699776118836-0.12623447401977
Trimmed Mean ( 49 / 210 )-1.40266623283316e-050.000108959339362922-0.128732997192756
Trimmed Mean ( 50 / 210 )-1.40795931295983e-050.000107162018409615-0.131386038995464
Trimmed Mean ( 51 / 210 )-1.41329249217837e-050.000105304393100572-0.134210211992637
Trimmed Mean ( 52 / 210 )-1.40916423618078e-050.000103397000460911-0.136286761695134
Trimmed Mean ( 53 / 210 )-1.41454272563007e-050.000101436768673106-0.139450688752579
Trimmed Mean ( 54 / 210 )-1.41996242955791e-059.94052844339215e-05-0.142845768979396
Trimmed Mean ( 55 / 210 )-1.42542382351596e-059.72974969340106e-05-0.146501592377316
Trimmed Mean ( 56 / 210 )-1.43092739040033e-059.5107719286595e-05-0.150453338712540
Trimmed Mean ( 57 / 210 )-1.42690501015232e-059.28457741396997e-05-0.153685509477830
Trimmed Mean ( 58 / 210 )-1.42285132733430e-059.04891513963537e-05-0.157239990140037
Trimmed Mean ( 59 / 210 )-1.42840934033586e-058.80469082272891e-05-0.162232765362809
Trimmed Mean ( 60 / 210 )-1.40565960941068e-058.55456828986153e-05-0.164316837715423
Trimmed Mean ( 61 / 210 )-1.38273074674594e-058.29262970481964e-05-0.166742130779372
Trimmed Mean ( 62 / 210 )-1.37428805647634e-058.02600256986086e-05-0.171229456322011
Trimmed Mean ( 63 / 210 )-1.21566156271113e-057.7744754992844e-05-0.156365733331210
Trimmed Mean ( 64 / 210 )-1.22050483586749e-057.60641992628077e-05-0.160457199010345
Trimmed Mean ( 65 / 210 )-1.22538685520910e-057.43164577508351e-05-0.164887683333552
Trimmed Mean ( 66 / 210 )-1.23030808755747e-057.24961205895847e-05-0.169706748106218
Trimmed Mean ( 67 / 210 )-1.23526900726348e-057.05969944105444e-05-0.174974730521812
Trimmed Mean ( 68 / 210 )-1.24027009635983e-056.86119294082712e-05-0.180765955287408
Trimmed Mean ( 69 / 210 )-1.24531184471713e-056.65325934695691e-05-0.187173200348295
Trimmed Mean ( 70 / 210 )-1.25039475020387e-056.43491720128861e-05-0.194314038718863
Trimmed Mean ( 71 / 210 )-1.25551931885034e-056.20499611631582e-05-0.202340065217607
Trimmed Mean ( 72 / 210 )-1.26068606501333e-055.9665697720807e-05-0.211291598551725
Trimmed Mean ( 73 / 210 )-1.26589551154857e-055.7156282614596e-05-0.221479678810549
Trimmed Mean ( 74 / 210 )-1.27114819000527e-055.44856139960749e-05-0.233299782598915
Trimmed Mean ( 75 / 210 )-1.26095215001329e-055.16725103027428e-05-0.244027654670835
Trimmed Mean ( 76 / 210 )-1.2662281004378e-054.86853767657426e-05-0.260083865948179
Trimmed Mean ( 77 / 210 )-1.26387821677107e-054.54674636401149e-05-0.277974207396952
Trimmed Mean ( 78 / 210 )-1.26150850286242e-054.19416294506848e-05-0.300777179948555
Trimmed Mean ( 79 / 210 )-1.24049953969678e-053.81347889697826e-05-0.325293406154608
Trimmed Mean ( 80 / 210 )-1.21931177684461e-053.38253546299677e-05-0.360472725321956
Trimmed Mean ( 81 / 210 )-1.21931177684461e-052.95816461973192e-05-0.412185234287303
Trimmed Mean ( 82 / 210 )-8.79718801475103e-062.45809047370812e-05-0.357887071645502
Trimmed Mean ( 83 / 210 )-4.72368266638552e-061.93227307365001e-05-0.244462479491194
Trimmed Mean ( 84 / 210 )-2.05576992545844e-071.44995325967149e-05-0.0141781806533833
Trimmed Mean ( 85 / 210 )-2.25571563103474e-061.22135515176232e-05-0.184689574345343
Trimmed Mean ( 86 / 210 )-2.25571563103474e-069.37299722540355e-06-0.240661079566000
Trimmed Mean ( 87 / 210 )-4.34491610815719e-066.9655639967092e-06-0.623770897835395
Trimmed Mean ( 88 / 210 )-2.26864632949599e-064.99362587892303e-06-0.45430842928611
Trimmed Mean ( 89 / 210 )-2.27638097397872e-063.86550063844076e-06-0.588896804553873
Trimmed Mean ( 90 / 210 )-2.23676137010753e-062.23676135860176e-06-1.00000000514394
Trimmed Mean ( 91 / 210 )-2.23676137010753e-061.21194558590215e-15-1845595541.68641
Trimmed Mean ( 92 / 210 )-1.16458910278169e-141.20965105503823e-15-9.62747974245257
Trimmed Mean ( 93 / 210 )-1.16773457770259e-141.20735070365591e-15-9.67187557158528
Trimmed Mean ( 94 / 210 )-1.17090851845988e-141.20497725711127e-15-9.7172665421664
Trimmed Mean ( 95 / 210 )-1.17411131322404e-141.20252865978460e-15-9.76368674185575
Trimmed Mean ( 96 / 210 )-1.17734335725547e-141.20000278262412e-15-9.81117189312592
Trimmed Mean ( 97 / 210 )-1.17846609127643e-141.19923901621221e-15-9.82678244574308
Trimmed Mean ( 98 / 210 )-1.17990614718458e-141.19863952058646e-15-9.84371136542608
Trimmed Mean ( 99 / 210 )-1.18135953694374e-141.19800237912728e-15-9.8610783878771
Trimmed Mean ( 100 / 210 )-1.18282644660762e-141.19732655763893e-15-9.8788959374634
Trimmed Mean ( 101 / 210 )-1.18430706570762e-141.19661098905161e-15-9.89717691499944
Trimmed Mean ( 102 / 210 )-1.18580158733439e-141.19585457214095e-15-9.91593472115454
Trimmed Mean ( 103 / 210 )-1.18731020822178e-141.19505617018644e-15-9.93518328127242
Trimmed Mean ( 104 / 210 )-1.18883312883322e-141.1942146095653e-15-9.95493707170404
Trimmed Mean ( 105 / 210 )-1.19037055345048e-141.19332867827801e-15-9.97521114776357
Trimmed Mean ( 106 / 210 )-1.19192269026504e-141.19239712440149e-15-9.99602117342674
Trimmed Mean ( 107 / 210 )-1.19348975147205e-141.19141865446553e-15-10.0173834529009
Trimmed Mean ( 108 / 210 )-1.19507195336705e-141.19039193174811e-15-10.0393149642074
Trimmed Mean ( 109 / 210 )-1.19666951644549e-141.18931557448427e-15-10.0618333949289
Trimmed Mean ( 110 / 210 )-1.19828266550519e-141.18818815398370e-15-10.0849571802887
Trimmed Mean ( 111 / 210 )-1.19991162975174e-141.1870081926509e-15-10.1087055437421
Trimmed Mean ( 112 / 210 )-1.20090035343445e-141.1863084020796e-15-10.1230030178432
Trimmed Mean ( 113 / 210 )-1.20189886646055e-141.18556487178350e-15-10.1377739427492
Trimmed Mean ( 114 / 210 )-1.20290731493964e-141.18477632157359e-15-10.1530330496644
Trimmed Mean ( 115 / 210 )-1.20381482560106e-141.184029730864e-15-10.1670996447245
Trimmed Mean ( 116 / 210 )-1.20473145697265e-141.18323738138798e-15-10.1816548050524
Trimmed Mean ( 117 / 210 )-1.20565734724698e-141.18239791460405e-15-10.1967140871584
Trimmed Mean ( 118 / 210 )-1.20659263742258e-141.1815099249147e-15-10.2122937097603
Trimmed Mean ( 119 / 210 )-1.20753747137547e-141.18057195765946e-15-10.2284105898082
Trimmed Mean ( 120 / 210 )-1.20849199593301e-141.17958250700291e-15-10.2450823809142
Trimmed Mean ( 121 / 210 )-1.20945636094991e-141.17854001371073e-15-10.2623275143781
Trimmed Mean ( 122 / 210 )-1.21043071938667e-141.1774428628067e-15-10.2801652430194
Trimmed Mean ( 123 / 210 )-1.21141522739048e-141.17628938110294e-15-10.2986156880427
Trimmed Mean ( 124 / 210 )-1.21241004437862e-141.17507783459488e-15-10.3176998891874
Trimmed Mean ( 125 / 210 )-1.21341533312454e-141.17380642571212e-15-10.3374398584365
Trimmed Mean ( 126 / 210 )-1.21313893674915e-141.17349637180496e-15-10.3378158288058
Trimmed Mean ( 127 / 210 )-1.21285959998679e-141.17314627465059e-15-10.3385198094587
Trimmed Mean ( 128 / 210 )-1.21293349695680e-141.17302313647432e-15-10.3402350664833
Trimmed Mean ( 129 / 210 )-1.21300818851788e-141.17286331584059e-15-10.3422809131729
Trimmed Mean ( 130 / 210 )-1.21272361522299e-141.17293096844403e-15-10.3392582159524
Trimmed Mean ( 131 / 210 )-1.21243594874011e-141.17296534105694e-15-10.33650276186
Trimmed Mean ( 132 / 210 )-1.21214513836125e-141.17296532861682e-15-10.3340235963379
Trimmed Mean ( 133 / 210 )-1.21185113226393e-141.17292978627709e-15-10.3318301439883
Trimmed Mean ( 134 / 210 )-1.21155387748046e-141.17285752770077e-15-10.3299322284740
Trimmed Mean ( 135 / 210 )-1.21125331986606e-141.17274732326639e-15-10.3283400936906
Trimmed Mean ( 136 / 210 )-1.21094940406602e-141.17259789818061e-15-10.3270644263043
Trimmed Mean ( 137 / 210 )-1.21064207348171e-141.17240793049199e-15-10.3261163797628
Trimmed Mean ( 138 / 210 )-1.21033127023544e-141.17217604899954e-15-10.3255075998905
Trimmed Mean ( 139 / 210 )-1.21001693513409e-141.17190083104945e-15-10.3252502521951
Trimmed Mean ( 140 / 210 )-1.20969900763158e-141.17158080021294e-15-10.3253570510179
Trimmed Mean ( 141 / 210 )-1.20937742578997e-141.17121442383744e-15-10.3258412906792
Trimmed Mean ( 142 / 210 )-1.2090521262392e-141.17080011046287e-15-10.3267168787779
Trimmed Mean ( 143 / 210 )-1.20859394843498e-141.17043576936104e-15-10.3260168569077
Trimmed Mean ( 144 / 210 )-1.20813041182603e-141.17002251405873e-15-10.325702260507
Trimmed Mean ( 145 / 210 )-1.20766142184521e-141.16955863696107e-15-10.3257877260703
Trimmed Mean ( 146 / 210 )-1.20718688168711e-141.16904236312949e-15-10.3262885910782
Trimmed Mean ( 147 / 210 )-1.20670669224140e-141.16847184706059e-15-10.3272209362767
Trimmed Mean ( 148 / 210 )-1.20622075202390e-141.16784516927781e-15-10.3286016310691
Trimmed Mean ( 149 / 210 )-1.20572895710497e-141.16716033272251e-15-10.3304483822930
Trimmed Mean ( 150 / 210 )-1.20523120103552e-141.16641525893052e-15-10.3327797866824
Trimmed Mean ( 151 / 210 )-1.20472737477009e-141.16560778397859e-15-10.3356153873473
Trimmed Mean ( 152 / 210 )-1.20421736658730e-141.16473565418411e-15-10.3389757346344
Trimmed Mean ( 153 / 210 )-1.20370106200719e-141.16379652153988e-15-10.3428824517752
Trimmed Mean ( 154 / 210 )-1.20317834370559e-141.16278793886420e-15-10.3473583057702
Trimmed Mean ( 155 / 210 )-1.20264909142522e-141.16170735464473e-15-10.3524272840040
Trimmed Mean ( 156 / 210 )-1.20211318188346e-141.16055210755275e-15-10.3581146771458
Trimmed Mean ( 157 / 210 )-1.20157048867661e-141.15931942060204e-15-10.3644471689487
Trimmed Mean ( 158 / 210 )-1.20102088218051e-141.15800639492462e-15-10.3714529336316
Trimmed Mean ( 159 / 210 )-1.20060656573248e-141.15673733906503e-15-10.3792496808559
Trimmed Mean ( 160 / 210 )-1.20018690326577e-141.15538541212252e-15-10.3877623057482
Trimmed Mean ( 161 / 210 )-1.19976179063715e-141.15394745089352e-15-10.3970227561763
Trimmed Mean ( 162 / 210 )-1.19976179063715e-141.15242014846380e-15-10.4108019304978
Trimmed Mean ( 163 / 210 )-1.19889478461826e-141.15080004606461e-15-10.4179243711201
Trimmed Mean ( 164 / 210 )-1.19845266896625e-141.14908352435517e-15-10.4296393044081
Trimmed Mean ( 165 / 210 )-1.19800465843887e-141.14726679408230e-15-10.4422499162207
Trimmed Mean ( 166 / 210 )-1.19755063434737e-141.14534588606240e-15-10.4557989767130
Trimmed Mean ( 167 / 210 )-1.19709047479517e-141.14331664042535e-15-10.4703319488975
Trimmed Mean ( 168 / 210 )-1.19662405456879e-141.14117469505377e-15-10.4858972053566
Trimmed Mean ( 169 / 210 )-1.19615124502425e-141.13891547314302e-15-10.5025462664343
Trimmed Mean ( 170 / 210 )-1.19567191396874e-141.13653416979996e-15-10.5203340624523
Trimmed Mean ( 171 / 210 )-1.19518592553746e-141.13402573758829e-15-10.5393192228533
Trimmed Mean ( 172 / 210 )-1.19518592553746e-141.13138487091843e-15-10.5639199909686
Trimmed Mean ( 173 / 210 )-1.19419341395246e-141.12860598916726e-15-10.5811366005030
Trimmed Mean ( 174 / 210 )-1.19368659952608e-141.12568321839963e-15-10.6041076211754
Trimmed Mean ( 175 / 210 )-1.19317254489360e-141.12261037154783e-15-10.6285544400279
Trimmed Mean ( 176 / 210 )-1.19265109379159e-141.11938092688706e-15-10.6545597226522
Trimmed Mean ( 177 / 210 )-1.19212208542724e-141.11598800462451e-15-10.6822123579039
Trimmed Mean ( 178 / 210 )-1.19158535431304e-141.11242434139563e-15-10.7116080615253
Trimmed Mean ( 179 / 210 )-1.19055092581865e-141.10916948631381e-15-10.7337150950239
Trimmed Mean ( 180 / 210 )-1.18966564994280e-141.1059217281788e-15-10.7572319055699
Trimmed Mean ( 181 / 210 )-1.19125273492991e-141.10488997970026e-15-10.7816412205411
Trimmed Mean ( 182 / 210 )-1.19125273492991e-141.10444174292603e-15-10.7860169407749
Trimmed Mean ( 183 / 210 )-1.19618120122873e-141.10391384066299e-15-10.8358203074103
Trimmed Mean ( 184 / 210 )-1.19870186719836e-141.10330260350038e-15-10.8646699771696
Trimmed Mean ( 185 / 210 )-1.20126131264444e-141.10260417055072e-15-10.8947648188601
Trimmed Mean ( 186 / 210 )-1.20386043941527e-141.10181447728874e-15-10.9261628362121
Trimmed Mean ( 187 / 210 )-1.20650017754189e-141.10092924244712e-15-10.9589257058893
Trimmed Mean ( 188 / 210 )-1.20918148634768e-141.09994395388087e-15-10.9931190773983
Trimmed Mean ( 189 / 210 )-1.21190535561069e-141.09885385330179e-15-11.0288129032737
Trimmed Mean ( 190 / 210 )-1.21467280678192e-141.09765391977348e-15-11.0660818032024
Trimmed Mean ( 191 / 210 )-1.21748489426235e-141.09633885184467e-15-11.1050054662740
Trimmed Mean ( 192 / 210 )-1.22034270674247e-141.09490304818401e-15-11.1456690961498
Trimmed Mean ( 193 / 210 )-1.22324736860751e-141.0933405865632e-15-11.1881639046499
Trimmed Mean ( 194 / 210 )-1.22620004141247e-141.09164520101624e-15-11.2325876600838
Trimmed Mean ( 195 / 210 )-1.22920192543084e-141.08981025698129e-15-11.2790452976251
Trimmed Mean ( 196 / 210 )-1.23225426128146e-141.08782872420663e-15-11.3276496001718
Trimmed Mean ( 197 / 210 )-1.23517015824401e-141.08591033038910e-15-11.3745133799531
Trimmed Mean ( 198 / 210 )-1.23813589959909e-141.0838388030213e-15-11.4236166498899
Trimmed Mean ( 199 / 210 )-1.24115277442580e-141.08160622249131e-15-11.4750890723150
Trimmed Mean ( 200 / 210 )-1.24422211664081e-141.07920417365404e-15-11.5290706523867
Trimmed Mean ( 201 / 210 )-1.24422211664081e-141.07662370666248e-15-11.5567036926754
Trimmed Mean ( 202 / 210 )-1.25052377499374e-141.07385529390517e-15-11.6451795888262
Trimmed Mean ( 203 / 210 )-1.25375900138029e-141.07088878257033e-15-11.7076490274839
Trimmed Mean ( 204 / 210 )-1.25705252013417e-141.06771334228544e-15-11.7733147123876
Trimmed Mean ( 205 / 210 )-1.26040592104720e-141.06431740719650e-15-11.8423875483463
Trimmed Mean ( 206 / 210 )-1.26382085225222e-141.06068861175108e-15-11.9150977794114
Trimmed Mean ( 207 / 210 )-1.267299022924e-141.05681371933047e-15-11.9916973042976
Trimmed Mean ( 208 / 210 )-1.27084220613170e-141.05267854273439e-15-12.0724623381285
Trimmed Mean ( 209 / 210 )-1.27445224185275e-141.04826785535171e-15-12.1576964832633
Trimmed Mean ( 210 / 210 )-1.27813104015897e-141.04356529164604e-15-12.2477342854412
Median-1.8651746813703e-14
Midrange0.003462969044886
Midmean - Weighted Average at Xnp-1.34333910569604e-14
Midmean - Weighted Average at X(n+1)p-1.34333910569604e-14
Midmean - Empirical Distribution Function-1.34333910569604e-14
Midmean - Empirical Distribution Function - Averaging-1.34333910569604e-14
Midmean - Empirical Distribution Function - Interpolation-1.05235685485683e-14
Midmean - Closest Observation-1.34333910569604e-14
Midmean - True Basic - Statistics Graphics Toolkit-1.34333910569604e-14
Midmean - MS Excel (old versions)-1.34333910569604e-14
Number of observations630
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Oct/20/t12875985542ht48qi15rlud0p/1u4p41287598601.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Oct/20/t12875985542ht48qi15rlud0p/1u4p41287598601.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Oct/20/t12875985542ht48qi15rlud0p/2u4p41287598601.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Oct/20/t12875985542ht48qi15rlud0p/2u4p41287598601.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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Software written by Ed van Stee & Patrick Wessa


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We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.


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