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ws8 central tendency Tim Damen

*Unverified author*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Tue, 30 Nov 2010 10:15:58 +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/Nov/30/t1291112212k5d52aaov062w8p.htm/, Retrieved Tue, 30 Nov 2010 11:16:52 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Nov/30/t1291112212k5d52aaov062w8p.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 «
235.1 280.7 264.6 240.7 201.4 240.8 241.1 223.8 206.1 174.7 203.3 220.5 299.5 347.4 338.3 327.7 351.6 396.6 438.8 395.6 363.5 378.8 357 369 464.8 479.1 431.3 366.5 326.3 355.1 331.6 261.3 249 205.5 235.6 240.9 264.9 253.8 232.3 193.8 177 213.2 207.2 180.6 188.6 175.4 199 179.6 225.8 234 200.2 183.6 178.2 203.2 208.5 191.8 172.8 148 159.4 154.5 213.2 196.4 182.8 176.4 153.6 173.2 171 151.2 161.9 157.2 201.7 236.4 356.1 398.3 403.7 384.6 365.8 368.1 367.9 347 343.3 292.9 311.5 300.9 366.9 356.9 329.7 316.2 269 289.3 266.2 253.6 233.8 228.4 253.6 260.1 306.6 309.2 309.5 271 279.9 317.9 298.4 246.7 227.3 209.1 259.9 266 320.6 308.5 282.2 262.7 263.5 313.1 284.3 252.6 250.3 246.5 312.7 333.2 446.4 511.6 515.5 506.4 483.2 522.3 509.8 460.7 405.8 375 378.5 406.8 467.8 469.8 429.8 355.8 332.7 378 360.5 334.7 319.5 323.1 363.6 352.1 411.9 388.6 416.4 360.7 338 417.2 388. etc...
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean393.0424731182808.0390063834799548.8919220074233
Geometric Mean364.982982143783
Harmonic Mean339.053113130709
Quadratic Mean422.443477926942
Winsorized Mean ( 1 / 124 )392.9946236559148.0297174282512748.9425222204241
Winsorized Mean ( 2 / 124 )392.980645161298.0246996562110348.9713836027654
Winsorized Mean ( 3 / 124 )392.9072580645168.012379919116349.0375221882702
Winsorized Mean ( 4 / 124 )392.9051075268828.0055873093614649.0788610933556
Winsorized Mean ( 5 / 124 )392.9266129032268.002097326431849.102953497622
Winsorized Mean ( 6 / 124 )392.8620967741947.9840464549085449.2058881411774
Winsorized Mean ( 7 / 124 )392.8903225806457.950889078676549.4146401355715
Winsorized Mean ( 8 / 124 )392.5311827956997.8936550564810249.7274304472444
Winsorized Mean ( 9 / 124 )392.473118279577.8838815681476649.7817115702541
Winsorized Mean ( 10 / 124 )392.1801075268827.8370299777371650.0419302517608
Winsorized Mean ( 11 / 124 )392.0795698924737.8198116434937950.1392600956942
Winsorized Mean ( 12 / 124 )392.0086021505387.8041616606849250.2307126882522
Winsorized Mean ( 13 / 124 )391.8688172043017.782136679165850.3549132275465
Winsorized Mean ( 14 / 124 )391.8349462365597.7687880617527150.4370750137515
Winsorized Mean ( 15 / 124 )391.7663978494627.7488821390526750.5577954109078
Winsorized Mean ( 16 / 124 )391.7965053763447.744095316456350.5929342764895
Winsorized Mean ( 17 / 124 )391.5817204301087.6974184796808850.8718242958699
Winsorized Mean ( 18 / 124 )390.9865591397857.6170535778745651.3304199770228
Winsorized Mean ( 19 / 124 )390.8435483870977.5506924718596351.7626098326367
Winsorized Mean ( 20 / 124 )390.9456989247317.530033771223251.91818666455
Winsorized Mean ( 21 / 124 )390.8553763440867.4979240280857752.1284791470302
Winsorized Mean ( 22 / 124 )390.4177419354847.4178341558258652.6323093417848
Winsorized Mean ( 23 / 124 )390.151881720437.3573891057593353.0285779523365
Winsorized Mean ( 24 / 124 )390.2034946236567.3490271499793253.0959386406341
Winsorized Mean ( 25 / 124 )389.7397849462377.2815932879692653.5239705834943
Winsorized Mean ( 26 / 124 )389.4532258064527.2456316754806453.7500722158386
Winsorized Mean ( 27 / 124 )389.5112903225817.2323770348533153.8566073706472
Winsorized Mean ( 28 / 124 )389.0897849462377.1842301147917354.1588700151925
Winsorized Mean ( 29 / 124 )388.6688172043017.1073468957500354.6854997941233
Winsorized Mean ( 30 / 124 )388.5720430107537.0882116652196854.8194751177355
Winsorized Mean ( 31 / 124 )387.2387096774196.9297808277410655.8803689904937
Winsorized Mean ( 32 / 124 )386.5849462365596.8423976192542756.4984626366527
Winsorized Mean ( 33 / 124 )386.2744623655916.8013816594432656.7935283898199
Winsorized Mean ( 34 / 124 )386.6400537634416.7743615718781657.0740208743017
Winsorized Mean ( 35 / 124 )385.7838709677426.6876400101171657.6861000867454
Winsorized Mean ( 36 / 124 )386.2967741935486.6198104057154458.3546582935405
Winsorized Mean ( 37 / 124 )386.4061827956996.5758779486198758.7611549081133
Winsorized Mean ( 38 / 124 )385.7626344086026.4781814346322259.5479824548172
Winsorized Mean ( 39 / 124 )385.1860215053766.3960784574523260.2222164827545
Winsorized Mean ( 40 / 124 )384.8204301075276.341552135549660.6823726876411
Winsorized Mean ( 41 / 124 )383.0680107526886.1483713170907462.3039811678041
Winsorized Mean ( 42 / 124 )382.5373655913986.0926557268237862.786637345554
Winsorized Mean ( 43 / 124 )381.7975806451615.9915597170728263.7225695268024
Winsorized Mean ( 44 / 124 )381.1233870967745.9045127468244664.5478134163989
Winsorized Mean ( 45 / 124 )380.75.8639824379640564.9217496858974
Winsorized Mean ( 46 / 124 )380.7989247311835.8516245245026465.0757619762948
Winsorized Mean ( 47 / 124 )380.4704301075275.8136601824798865.4442155484281
Winsorized Mean ( 48 / 124 )380.2510752688175.7791613685626665.7969298689768
Winsorized Mean ( 49 / 124 )378.9865591397855.5881621529132267.8195350759841
Winsorized Mean ( 50 / 124 )378.5967741935485.5543522341011968.1621831379611
Winsorized Mean ( 51 / 124 )378.569354838715.5500957609506568.209517663145
Winsorized Mean ( 52 / 124 )378.4575268817205.5368971600166168.3519155122948
Winsorized Mean ( 53 / 124 )378.4860215053765.524474891065668.5107687098876
Winsorized Mean ( 54 / 124 )378.8344086021515.4673049573157569.2908867458062
Winsorized Mean ( 55 / 124 )378.8935483870975.4569464342750469.4332541010975
Winsorized Mean ( 56 / 124 )378.7580645161295.446025725143869.5476084087224
Winsorized Mean ( 57 / 124 )378.7580645161295.4415540856650269.6047596979531
Winsorized Mean ( 58 / 124 )378.6177419354845.3781769212328570.398900497437
Winsorized Mean ( 59 / 124 )377.9198924731185.3205104356441471.0307586169342
Winsorized Mean ( 60 / 124 )378.0327956989255.3015549551578971.3060222701523
Winsorized Mean ( 61 / 124 )377.7540322580655.2796470621187571.5491069409609
Winsorized Mean ( 62 / 124 )376.9873655913985.2033255638666772.45123545782
Winsorized Mean ( 63 / 124 )376.6317204301085.1375362718502373.3097929631683
Winsorized Mean ( 64 / 124 )376.6661290322585.1158500435282673.6272810632428
Winsorized Mean ( 65 / 124 )376.4389784946245.0985512592151473.832537784973
Winsorized Mean ( 66 / 124 )375.9954301075275.0599857941860674.3076058710573
Winsorized Mean ( 67 / 124 )376.0314516129035.0525849164561874.4235787879933
Winsorized Mean ( 68 / 124 )376.3239247311834.9876759524613275.4507566886887
Winsorized Mean ( 69 / 124 )376.1013440860224.9632235217278175.7776357320076
Winsorized Mean ( 70 / 124 )376.0260752688174.9054042374911776.6554716112719
Winsorized Mean ( 71 / 124 )375.7206989247314.8774425447473277.0323167270022
Winsorized Mean ( 72 / 124 )375.178763440864.8214978730758277.8137361702328
Winsorized Mean ( 73 / 124 )375.2376344086024.8096530803553178.0176091995562
Winsorized Mean ( 74 / 124 )375.1779569892474.7671512400466278.7006616944627
Winsorized Mean ( 75 / 124 )374.4521505376344.7144189856128279.4269986779633
Winsorized Mean ( 76 / 124 )373.6553763440864.6350908332194780.614466854914
Winsorized Mean ( 77 / 124 )372.3513440860224.5126983283515382.5119068444444
Winsorized Mean ( 78 / 124 )372.3723118279574.5057382614086982.6440175225662
Winsorized Mean ( 79 / 124 )372.2873655913984.4686550550021483.3108308896354
Winsorized Mean ( 80 / 124 )372.0508064516134.4465942702242883.6709589051054
Winsorized Mean ( 81 / 124 )371.8766129032264.4288234057705583.9673608161228
Winsorized Mean ( 82 / 124 )371.8545698924734.424382181007484.0466656539613
Winsorized Mean ( 83 / 124 )372.3008064516134.3810941340120684.9789561838682
Winsorized Mean ( 84 / 124 )372.5491935483874.3415103272764285.8109656466255
Winsorized Mean ( 85 / 124 )372.1836021505384.3134570511503186.2842953429393
Winsorized Mean ( 86 / 124 )371.628763440864.2757105874547786.9162577399987
Winsorized Mean ( 87 / 124 )371.0206989247314.204147031646788.2511235054042
Winsorized Mean ( 88 / 124 )369.9088709677424.0996518188897390.229338321692
Winsorized Mean ( 89 / 124 )370.2916666666674.072254659001390.9303807531229
Winsorized Mean ( 90 / 124 )370.848118279574.0309936756056591.9991813740195
Winsorized Mean ( 91 / 124 )371.2150537634414.0049517177062192.6890209742779
Winsorized Mean ( 92 / 124 )370.9430107526883.9711792034141293.4087815613508
Winsorized Mean ( 93 / 124 )371.0180107526883.9569289822002493.764131835994
Winsorized Mean ( 94 / 124 )371.1190860215053.9377577884349494.2462959787597
Winsorized Mean ( 95 / 124 )371.4255376344093.9123345740372994.9370588341886
Winsorized Mean ( 96 / 124 )371.1674731182803.8921073186569995.3641415125097
Winsorized Mean ( 97 / 124 )371.3760752688173.8461971791807196.5566917055263
Winsorized Mean ( 98 / 124 )371.1126344086023.822311587026697.0911517700975
Winsorized Mean ( 99 / 124 )370.8997311827963.8050813339929597.4748497146008
Winsorized Mean ( 100 / 124 )371.4642473118283.7502892627127999.0494922631988
Winsorized Mean ( 101 / 124 )371.2198924731183.7173366553726099.8617900094147
Winsorized Mean ( 102 / 124 )371.5763440860213.69575764264109100.541317915123
Winsorized Mean ( 103 / 124 )370.6903225806453.62117815521224102.367325409572
Winsorized Mean ( 104 / 124 )370.2989247311833.58912507781937103.172477052865
Winsorized Mean ( 105 / 124 )370.4118279569893.56822667467579103.808379267454
Winsorized Mean ( 106 / 124 )370.0698924731183.47576607278748106.471461175272
Winsorized Mean ( 107 / 124 )370.0698924731183.45443433297662107.128941181590
Winsorized Mean ( 108 / 124 )370.0118279569893.45075987749328107.226188170988
Winsorized Mean ( 109 / 124 )369.5430107526883.37428448913397109.517443458816
Winsorized Mean ( 110 / 124 )369.5134408602153.33612138798882110.761389615675
Winsorized Mean ( 111 / 124 )369.573118279573.33253972581485110.898338410416
Winsorized Mean ( 112 / 124 )369.5129032258063.31401239570531111.500157242823
Winsorized Mean ( 113 / 124 )370.2115591397853.26118985130677113.520394708526
Winsorized Mean ( 114 / 124 )370.1502688172043.23491857926181114.423364838342
Winsorized Mean ( 115 / 124 )369.9647849462373.20449259295905115.451908286238
Winsorized Mean ( 116 / 124 )370.3389784946243.17478899605805116.649950265814
Winsorized Mean ( 117 / 124 )370.1817204301083.00901840776081123.024079704977
Winsorized Mean ( 118 / 124 )370.4989247311832.96766955221643124.845073958613
Winsorized Mean ( 119 / 124 )369.3473118279572.8660647607716128.869143811154
Winsorized Mean ( 120 / 124 )369.0247311827962.80408141718769131.602716283789
Winsorized Mean ( 121 / 124 )368.9271505376342.77108500284695133.134548438105
Winsorized Mean ( 122 / 124 )368.6319892473122.74153674910412134.461808461175
Winsorized Mean ( 123 / 124 )368.9956989247312.70870171631348136.22603651868
Winsorized Mean ( 124 / 124 )368.9956989247312.68505452796554137.425774814457
Trimmed Mean ( 1 / 124 )392.4510810810817.9567849415683649.3228212102117
Trimmed Mean ( 2 / 124 )391.9016304347837.8812172674338849.7260279898851
Trimmed Mean ( 3 / 124 )391.3532786885257.805554408542350.1377939612121
Trimmed Mean ( 4 / 124 )390.8239010989017.7315727502466450.54908150304
Trimmed Mean ( 5 / 124 )390.2892265193377.6567403783785950.9732872256517
Trimmed Mean ( 6 / 124 )389.7441666666677.579905419563651.4180778114651
Trimmed Mean ( 7 / 124 )389.2041899441347.5036519095283151.8686360503895
Trimmed Mean ( 8 / 124 )388.653932584277.4300525994606252.3083689357036
Trimmed Mean ( 9 / 124 )388.1446327683627.3622481877973452.7209383421354
Trimmed Mean ( 10 / 124 )387.6363636363647.2932210101264653.1502285613092
Trimmed Mean ( 11 / 124 )387.1534285714297.2274002614055553.5674536581065
Trimmed Mean ( 12 / 124 )386.6747126436787.161069464512853.9967828213191
Trimmed Mean ( 13 / 124 )386.6747126436787.093890041397254.5081345195927
Trimmed Mean ( 14 / 124 )385.7257.0263607180627354.8968399826689
Trimmed Mean ( 15 / 124 )385.2502923976616.957490865435755.3720155511172
Trimmed Mean ( 16 / 124 )384.7756.8877382503204955.8637663070451
Trimmed Mean ( 17 / 124 )384.2920118343206.8156435835387756.3838186554336
Trimmed Mean ( 18 / 124 )383.8172619047626.7445742756357756.9075595017569
Trimmed Mean ( 19 / 124 )383.3736526946116.6771444797463257.4158090868772
Trimmed Mean ( 20 / 124 )382.9331325301206.6120908177232457.9140763620026
Trimmed Mean ( 21 / 124 )382.4815151515156.5459299581261658.4304319780721
Trimmed Mean ( 22 / 124 )382.0292682926836.4793999429230558.9605938293629
Trimmed Mean ( 23 / 124 )381.5941717791416.4157746095650759.4774902488368
Trimmed Mean ( 24 / 124 )381.1669753086426.3536529694817959.9917838036613
Trimmed Mean ( 25 / 124 )380.731987577646.2895309165200260.5342421606694
Trimmed Mean ( 26 / 124 )380.731987577646.2271517828581661.140630717514
Trimmed Mean ( 27 / 124 )379.9018867924536.1644898774319261.627465426339
Trimmed Mean ( 28 / 124 )379.4829113924056.1000150097819662.2101602674531
Trimmed Mean ( 29 / 124 )379.0764331210196.0358038740558262.8046306723838
Trimmed Mean ( 30 / 124 )378.6820512820515.9734807587336163.3938680941416
Trimmed Mean ( 31 / 124 )378.2864516129035.9096398562850364.0117605831069
Trimmed Mean ( 32 / 124 )377.9376623376625.8522904141428664.5794442162892
Trimmed Mean ( 33 / 124 )377.6091503267975.7974446300502765.133722600732
Trimmed Mean ( 34 / 124 )377.2878289473685.7425543369427565.7003498460984
Trimmed Mean ( 35 / 124 )376.9490066225175.6866966884318366.2861107731182
Trimmed Mean ( 36 / 124 )376.6365.6331643696996466.8604669208476
Trimmed Mean ( 37 / 124 )376.3010067114095.5807301452158167.4286333364463
Trimmed Mean ( 38 / 124 )375.957770270275.5282368924779168.0068125846458
Trimmed Mean ( 39 / 124 )375.6312925170075.4784939566815768.564699621305
Trimmed Mean ( 40 / 124 )375.3191780821925.4307479251426369.1100347973405
Trimmed Mean ( 41 / 124 )375.0144827586215.3836379042011269.6581919942978
Trimmed Mean ( 42 / 124 )374.7607638888895.3439830956014170.1276102833018
Trimmed Mean ( 43 / 124 )374.519930069935.3052744180391470.5938846059456
Trimmed Mean ( 44 / 124 )374.298239436625.269613323546771.0295455198029
Trimmed Mean ( 45 / 124 )374.0936170212775.2363927032186571.4410927949183
Trimmed Mean ( 46 / 124 )373.8985714285715.2035537447850571.8544651918487
Trimmed Mean ( 47 / 124 )373.6978417266195.1697756730226172.2851174523263
Trimmed Mean ( 48 / 124 )373.5036231884065.1361899162788472.7199790655343
Trimmed Mean ( 49 / 124 )373.3127737226285.1026173842026773.1610359182284
Trimmed Mean ( 50 / 124 )373.1544117647065.0758552668125173.5155736619409
Trimmed Mean ( 51 / 124 )373.1544117647065.0493083142393473.9020849078257
Trimmed Mean ( 52 / 124 )373.0044444444445.0216949637285274.2785946057335
Trimmed Mean ( 53 / 124 )372.7022556390984.9933441849176874.6398088809579
Trimmed Mean ( 54 / 124 )372.5484848484854.9641651678172975.0475603156234
Trimmed Mean ( 55 / 124 )372.383206106874.9359301596857675.443370157121
Trimmed Mean ( 56 / 124 )372.2138461538464.9067525739541375.8574720334627
Trimmed Mean ( 57 / 124 )372.0453488372094.8766299750969376.2914862798903
Trimmed Mean ( 58 / 124 )371.874218754.8452226727810976.7506973083136
Trimmed Mean ( 59 / 124 )371.7039370078744.8149310468270577.1981848530977
Trimmed Mean ( 60 / 124 )371.5484126984134.7856181201422677.6385418499226
Trimmed Mean ( 61 / 124 )371.38764.7556045170145378.0947193298465
Trimmed Mean ( 62 / 124 )371.2310483870974.7250228132634178.5670383103823
Trimmed Mean ( 63 / 124 )371.2310483870974.6961392000621479.0502650309396
Trimmed Mean ( 64 / 124 )370.9565573770494.6685116837124879.4592757840242
Trimmed Mean ( 65 / 124 )370.8194214876034.6403315442939379.9122687566557
Trimmed Mean ( 66 / 124 )370.6854166666674.611416157500480.3842906400353
Trimmed Mean ( 67 / 124 )370.5596638655464.5826202481835280.8619618901283
Trimmed Mean ( 68 / 124 )370.430932203394.5525992389421781.3669099258257
Trimmed Mean ( 69 / 124 )370.2931623931624.5236226845865881.8576588305804
Trimmed Mean ( 70 / 124 )370.1581896551724.4941213705031882.3649739601332
Trimmed Mean ( 71 / 124 )370.0226086956524.4654179129786382.8640489886042
Trimmed Mean ( 72 / 124 )369.8916666666674.4363340565172283.3777758740408
Trimmed Mean ( 73 / 124 )369.7707964601774.4080294289559383.8857367945839
Trimmed Mean ( 74 / 124 )369.6464285714294.3786242816017784.4206775458264
Trimmed Mean ( 75 / 124 )369.5211711711714.3493486887177884.9601164720847
Trimmed Mean ( 76 / 124 )369.414.3207102073298585.4975182953293
Trimmed Mean ( 77 / 124 )369.3146788990834.2938330599834986.0104884702952
Trimmed Mean ( 78 / 124 )369.2467592592594.2705696621991886.4631158057522
Trimmed Mean ( 79 / 124 )369.1771028037384.2461947383142186.9430456103636
Trimmed Mean ( 80 / 124 )369.1080188679244.2218989508652787.427014043592
Trimmed Mean ( 81 / 124 )369.0428571428574.1970646750090887.9287992249152
Trimmed Mean ( 82 / 124 )368.9802884615384.1714711686475588.4532754858202
Trimmed Mean ( 83 / 124 )368.9169902912624.1444924511707789.013792312988
Trimmed Mean ( 84 / 124 )368.8426470588244.1176681779929289.57561200053
Trimmed Mean ( 85 / 124 )368.7613861386144.0908500829966490.1429724035469
Trimmed Mean ( 86 / 124 )368.68654.0635908618131190.7292374005137
Trimmed Mean ( 87 / 124 )368.6222222222224.0362965764896591.3268426233463
Trimmed Mean ( 88 / 124 )368.5698979591844.0104338421483991.9027497937084
Trimmed Mean ( 89 / 124 )368.5407216494853.9874981848166692.4240475024641
Trimmed Mean ( 90 / 124 )368.5026041666673.9641910892363392.9578307078168
Trimmed Mean ( 91 / 124 )368.4515789473683.9410739521840493.4901459393275
Trimmed Mean ( 92 / 124 )368.3914893617023.9174833937294794.0377922089903
Trimmed Mean ( 93 / 124 )368.3360215053763.8937793766019394.5960173600848
Trimmed Mean ( 94 / 124 )368.2777173913043.8690429446101595.1857404178832
Trimmed Mean ( 95 / 124 )368.2159340659343.8434247464379395.8041221978381
Trimmed Mean ( 96 / 124 )368.1461111111113.8171303877651196.4457782975176
Trimmed Mean ( 97 / 124 )368.0803370786523.7899241523142797.120766085487
Trimmed Mean ( 98 / 124 )368.0085227272733.7629090243044597.7989423476155
Trimmed Mean ( 99 / 124 )367.9408045977013.73508915291898.5092428945775
Trimmed Mean ( 100 / 124 )367.8761627906983.7060765152743399.262970225931
Trimmed Mean ( 101 / 124 )367.7976470588243.67754296758225100.0117878434
Trimmed Mean ( 102 / 124 )367.7976470588243.64852620154842100.807182610538
Trimmed Mean ( 103 / 124 )367.7226190476193.61833547659162101.627563675772
Trimmed Mean ( 104 / 124 )367.6379518072293.58974818979622102.413298195186
Trimmed Mean ( 105 / 124 )367.5104938271603.56061338067921103.215500964347
Trimmed Mean ( 106 / 124 )367.446253.53025010332976104.085047587258
Trimmed Mean ( 107 / 124 )367.3879746835443.50238148872366104.896618448445
Trimmed Mean ( 108 / 124 )367.3282051282053.4733637030203105.755756245391
Trimmed Mean ( 109 / 124 )367.2681818181823.44215427150117106.697188112377
Trimmed Mean ( 110 / 124 )367.2171052631583.41262671073894107.605412601264
Trimmed Mean ( 111 / 124 )367.1653333333333.38272555830852108.54127152926
Trimmed Mean ( 112 / 124 )367.1108108108113.35045489733283109.570438062919
Trimmed Mean ( 113 / 124 )367.0561643835623.3164864899867110.676212760642
Trimmed Mean ( 114 / 124 )366.9840277777783.28259929070481111.796779100316
Trimmed Mean ( 115 / 124 )366.9112676056343.24730866775081112.989341373504
Trimmed Mean ( 116 / 124 )366.8407142857143.21076793400448114.253263339462
Trimmed Mean ( 117 / 124 )366.7594202898553.1727234950514115.597662658565
Trimmed Mean ( 118 / 124 )366.6794117647063.14170885837848116.713364698586
Trimmed Mean ( 119 / 124 )366.5895522388063.11028125362733117.863795054314
Trimmed Mean ( 120 / 124 )366.5242424242423.08249895642241118.904903977530
Trimmed Mean ( 121 / 124 )366.4646153846153.05594230588690119.918695676508
Trimmed Mean ( 122 / 124 )366.405468753.02881590285185120.973172520985
Trimmed Mean ( 123 / 124 )366.3515873015873.00087283263079122.081676810148
Trimmed Mean ( 124 / 124 )366.2870967741942.97215197171357123.239693077677
Median366.15
Midrange502.45
Midmean - Weighted Average at Xnp367.859893048129
Midmean - Weighted Average at X(n+1)p368.336021505376
Midmean - Empirical Distribution Function367.859893048129
Midmean - Empirical Distribution Function - Averaging368.336021505376
Midmean - Empirical Distribution Function - Interpolation368.336021505376
Midmean - Closest Observation367.859893048129
Midmean - True Basic - Statistics Graphics Toolkit368.336021505376
Midmean - MS Excel (old versions)368.391489361702
Number of observations372
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Nov/30/t1291112212k5d52aaov062w8p/16ppn1291112152.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/30/t1291112212k5d52aaov062w8p/16ppn1291112152.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/30/t1291112212k5d52aaov062w8p/26ppn1291112152.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/30/t1291112212k5d52aaov062w8p/26ppn1291112152.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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