Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationSun, 14 Mar 2010 15:04:20 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Mar/14/t1268600717xhaz17vdtsdg0ii.htm/, Retrieved Wed, 19 Jan 2022 11:08:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=74424, Retrieved Wed, 19 Jan 2022 11:08:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP1W52
Estimated Impact109
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [Paper - Aantal li...] [2010-03-14 21:04:20] [1304242a1cc5487fd4bc37d06bd514db] [Current]
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Dataseries X:
464
675
703
887
1139
1077
1318
1260
1120
963
996
960
530
883
894
1045
1199
1287
1565
1577
1076
918
1008
1063
544
635
804
980
1018
1064
1404
1286
1104
999
996
1015
615
722
832
977
1270
1437
1520
1708
1151
934
1159
1209
699
830
996
1124
1458
1270
1753
2258
1208
1241
1265
1828
809
997
1164
1205
1538
1513
1378
2083
1357
1536
1526
1376
779
1005
1193
1522
1539
1546
2116
2326
1596
1356
1553
1613
814
1150
1225
1691
1759
1754
2100
2062
2012
1897
1964
2186
966
1549
1538
1612
2078
2137
2907
2249
1883
1739
1828
1868
1138
1430
1809
1763
2200
2067
2503
2141
2103
1972
2181
2344
970
1199
1718
1683
2025
2051
2439
2353
2230
1852
2147
2286
1007
1665
1642
1518
1831
2207
2822
2393
2306
1785
2047
2171
1212
1335
2011
1860
1954
2152
2835
2224
2182
1992
2389
2724
891
1247
2017
2257
2255
2255
3057
3330
1896
2096
2374
2535
1041
1728
2201
2455
2204
2660
3670
2665
2639
2226
2586
2684
1185
1749
2459
2618
2585
3310
3923




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74424&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74424&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74424&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean1664.0641711229947.458090433476635.0638670018879
Geometric Mean1536.17482508946
Harmonic Mean1406.55618309747
Quadratic Mean1785.50604879048
Winsorized Mean ( 1 / 62 )1663.0641711229947.083051431535.3219283916325
Winsorized Mean ( 2 / 62 )1659.5775401069546.293735333863135.8488579100032
Winsorized Mean ( 3 / 62 )1660.3957219251346.088494152166036.0262523753361
Winsorized Mean ( 4 / 62 )1655.4117647058845.06242174016336.7359698120809
Winsorized Mean ( 5 / 62 )1652.4705882352944.292892087408737.3078051659907
Winsorized Mean ( 6 / 62 )1650.9304812834243.858687856525537.6420399690044
Winsorized Mean ( 7 / 62 )1650.593582887743.770911974751837.7098284778669
Winsorized Mean ( 8 / 62 )1647.2139037433243.093308959663838.2243541633143
Winsorized Mean ( 9 / 62 )1648.0320855615042.528843644751538.7509262966965
Winsorized Mean ( 10 / 62 )1648.3529411764742.251328569081939.0130440154414
Winsorized Mean ( 11 / 62 )1648.3529411764742.181809623731439.0773405854335
Winsorized Mean ( 12 / 62 )1647.3262032085641.97505601561939.2453604492054
Winsorized Mean ( 13 / 62 )1646.9786096256741.672909168773939.5215655080728
Winsorized Mean ( 14 / 62 )1644.7326203208641.360472769228539.7658080336187
Winsorized Mean ( 15 / 62 )1648.7433155080240.928740496219540.2832653904977
Winsorized Mean ( 16 / 62 )1644.8074866310240.377584739088640.7356580949409
Winsorized Mean ( 17 / 62 )1642.2620320855640.000175435339141.0563707336809
Winsorized Mean ( 18 / 62 )1638.3155080213939.489308055028141.4875719204401
Winsorized Mean ( 19 / 62 )1640.3475935828939.199539375514641.8460935948525
Winsorized Mean ( 20 / 62 )1640.3475935828938.840919112219142.2324607933092
Winsorized Mean ( 21 / 62 )1638.1016042780737.996545647658343.1118559952312
Winsorized Mean ( 22 / 62 )1637.9839572192537.912529936223243.2042905069824
Winsorized Mean ( 23 / 62 )1636.5080213903737.681910281034343.4295397761202
Winsorized Mean ( 24 / 62 )1634.3262032085637.351598950448543.755187170881
Winsorized Mean ( 25 / 62 )1634.0588235294137.138283408885743.999309433307
Winsorized Mean ( 26 / 62 )1631.9732620320936.843260168696644.2950285767238
Winsorized Mean ( 27 / 62 )1631.3957219251336.334392094714644.8994913048909
Winsorized Mean ( 28 / 62 )1628.4010695187236.038024389245945.1856364802463
Winsorized Mean ( 29 / 62 )1624.0588235294135.617238388613145.5975504279587
Winsorized Mean ( 30 / 62 )1624.0588235294135.586688626004445.6366941188976
Winsorized Mean ( 31 / 62 )1624.0588235294135.523619732219645.717717838771
Winsorized Mean ( 32 / 62 )1625.0855614973335.426744721903845.8717156841272
Winsorized Mean ( 33 / 62 )1624.3796791443935.292556525555146.0261267264156
Winsorized Mean ( 34 / 62 )1621.1069518716634.949276049882146.3845645774722
Winsorized Mean ( 35 / 62 )1621.6684491978634.755958317990246.6587177473528
Winsorized Mean ( 36 / 62 )1621.8609625668434.665839686602746.7855669220568
Winsorized Mean ( 37 / 62 )1623.0481283422533.930161188446547.8349666341965
Winsorized Mean ( 38 / 62 )1623.2513368984033.798932942752948.0267036727989
Winsorized Mean ( 39 / 62 )1626.3796791443933.398204389322148.6966203387977
Winsorized Mean ( 40 / 62 )1626.3796791443933.359030421549848.7538054491461
Winsorized Mean ( 41 / 62 )1625.9411764705932.838726974897749.5129174073489
Winsorized Mean ( 42 / 62 )1625.2673796791432.736244167912049.6473380190703
Winsorized Mean ( 43 / 62 )1631.2459893048132.161993782590950.7196786471552
Winsorized Mean ( 44 / 62 )1632.6577540107031.616153552223551.6399868603204
Winsorized Mean ( 45 / 62 )1629.0481283422531.116330965470852.3534773476337
Winsorized Mean ( 46 / 62 )1631.2620320855630.706246268464653.124762233177
Winsorized Mean ( 47 / 62 )1630.0053475935830.548636056813553.3577127490127
Winsorized Mean ( 48 / 62 )1631.8021390374330.213278670380054.0094359450367
Winsorized Mean ( 49 / 62 )1626.5614973262029.699628110775654.7670661484161
Winsorized Mean ( 50 / 62 )1625.2245989304829.208937915178355.6413452502134
Winsorized Mean ( 51 / 62 )1625.7700534759429.020180348660756.0220520321807
Winsorized Mean ( 52 / 62 )1630.4973262032128.426519487913857.3583173591284
Winsorized Mean ( 53 / 62 )1629.0802139037427.912496547932958.3638303763404
Winsorized Mean ( 54 / 62 )1629.3689839572227.641095759866958.9473368969314
Winsorized Mean ( 55 / 62 )1626.1336898395727.359791847327759.4351630638739
Winsorized Mean ( 56 / 62 )1626.4331550802127.079614110735860.0611644032035
Winsorized Mean ( 57 / 62 )1623.9946524064226.714026461438360.7918336365599
Winsorized Mean ( 58 / 62 )1623.0641711229926.581557243636261.059785032405
Winsorized Mean ( 59 / 62 )1617.0695187165825.910751276071462.4092100413138
Winsorized Mean ( 60 / 62 )1618.6737967914425.344197805759563.8676279753308
Winsorized Mean ( 61 / 62 )1622.2620320855624.772420630344565.4866174078444
Winsorized Mean ( 62 / 62 )1623.9197860962624.580057461165366.0665577638267
Trimmed Mean ( 1 / 62 )1664.0641711229945.923562644165636.2355199664459
Trimmed Mean ( 2 / 62 )1658.3405405405444.672077845085637.1225297889960
Trimmed Mean ( 3 / 62 )1650.3812154696143.771642439995337.7043474603917
Trimmed Mean ( 4 / 62 )1650.3812154696142.883243082739638.4854571816162
Trimmed Mean ( 5 / 62 )1644.6440677966142.239305354181438.9363426790778
Trimmed Mean ( 6 / 62 )1642.9714285714341.738051241245639.3638749225513
Trimmed Mean ( 7 / 62 )1642.9714285714341.291453162131539.7896247952397
Trimmed Mean ( 8 / 62 )1641.5375722543440.828544998854940.2056348640486
Trimmed Mean ( 9 / 62 )1639.1420118343240.443842228204640.5288400292299
Trimmed Mean ( 10 / 62 )1638.0359281437140.114340305159540.8341734073844
Trimmed Mean ( 11 / 62 )1636.8666666666739.797457024440941.12993113257
Trimmed Mean ( 12 / 62 )1635.6687116564439.46464727896441.4464292584292
Trimmed Mean ( 13 / 62 )1634.5403726708139.130806669089641.7711903179847
Trimmed Mean ( 14 / 62 )1634.5403726708138.805070245835642.1218248624668
Trimmed Mean ( 15 / 62 )1632.4522292993638.487511465106942.415115115441
Trimmed Mean ( 16 / 62 )1632.4522292993638.18813639205842.7476274971843
Trimmed Mean ( 17 / 62 )1630.0980392156937.919510791284242.9883720860229
Trimmed Mean ( 18 / 62 )1629.211920529837.664260536880143.2561770045774
Trimmed Mean ( 19 / 62 )1628.5771812080537.43430448526243.5049402840977
Trimmed Mean ( 20 / 62 )1627.7891156462637.208833259171943.7473839695044
Trimmed Mean ( 21 / 62 )1626.9793103448336.993436133329443.9802159626636
Trimmed Mean ( 22 / 62 )1626.2867132867136.82920431924544.1575305073018
Trimmed Mean ( 23 / 62 )1625.5815602836936.654076068073144.3492712042365
Trimmed Mean ( 24 / 62 )1624.9424460431736.479038290125344.5445527680764
Trimmed Mean ( 25 / 62 )1624.4087591240936.311544865895344.7353249530777
Trimmed Mean ( 26 / 62 )1623.8740740740736.141903589801244.9305076042622
Trimmed Mean ( 27 / 62 )1623.4360902255635.976001078627645.1255292848544
Trimmed Mean ( 28 / 62 )1623.4360902255635.829781215210745.3096847137981
Trimmed Mean ( 29 / 62 )1622.7364341085335.687760098598545.4703917989029
Trimmed Mean ( 30 / 62 )1622.6692913385835.558985526984645.633171680536
Trimmed Mean ( 31 / 62 )1622.635.414371057797445.8175580007299
Trimmed Mean ( 32 / 62 )1622.635.254776749356646.024968801699
Trimmed Mean ( 33 / 62 )1622.4049586776935.081156555188446.2471913126745
Trimmed Mean ( 34 / 62 )1622.3109243697534.894838143829546.4914299840827
Trimmed Mean ( 35 / 62 )1622.3675213675234.710258330163546.7402894537858
Trimmed Mean ( 36 / 62 )1622.434.515614702278247.0048125752462
Trimmed Mean ( 37 / 62 )1622.4247787610634.301642632852247.2987488128978
Trimmed Mean ( 38 / 62 )1622.3963963964034.116076557139847.5551868832016
Trimmed Mean ( 39 / 62 )1622.3577981651433.913968234481347.8374511336494
Trimmed Mean ( 40 / 62 )1622.1775700934633.714312657838648.1153979485416
Trimmed Mean ( 41 / 62 )1621.9904761904833.488414417926148.4343766159988
Trimmed Mean ( 42 / 62 )1621.8155339805833.271806192290248.7444391989874
Trimmed Mean ( 43 / 62 )1621.6633663366333.031108281474949.0950334611123
Trimmed Mean ( 44 / 62 )1621.2424242424232.801565678617949.4257633957775
Trimmed Mean ( 45 / 62 )1620.7422680412432.581668728025249.7439919842765
Trimmed Mean ( 46 / 62 )1620.3789473684232.368770908259650.0599467295481
Trimmed Mean ( 47 / 62 )1619.9032258064532.154689315890350.3784443348958
Trimmed Mean ( 48 / 62 )1619.4615384615431.917603426195250.738820106162
Trimmed Mean ( 49 / 62 )1618.9213483146131.669498835086651.1192601040155
Trimmed Mean ( 50 / 62 )1618.5862068965531.425869679996451.5048978239363
Trimmed Mean ( 51 / 62 )1618.5862068965531.183988311937451.9044001269378
Trimmed Mean ( 52 / 62 )1617.9638554216930.915117244216752.3356855689868
Trimmed Mean ( 53 / 62 )1617.4074074074130.653367576150152.7644280319083
Trimmed Mean ( 54 / 62 )1616.8860759493730.392530916682653.2001128955618
Trimmed Mean ( 55 / 62 )1616.3246753246830.107454185385753.6851991992483
Trimmed Mean ( 56 / 62 )1616.3246753246829.796045205864354.2462821544706
Trimmed Mean ( 57 / 62 )1615.3972602739729.452937847368554.8467276386929
Trimmed Mean ( 58 / 62 )161529.082959118122755.5308004746199
Trimmed Mean ( 59 / 62 )1614.6231884058028.653529733283556.3498878998588
Trimmed Mean ( 60 / 62 )1614.5074626865728.220768012830257.2099052000482
Trimmed Mean ( 61 / 62 )1614.3076923076927.7697168612958.1319464066262
Trimmed Mean ( 62 / 62 )1613.9206349206327.297110815565659.1242291473694
Median1596
Midrange2193.5
Midmean - Weighted Average at Xnp1614.77659574468
Midmean - Weighted Average at X(n+1)p1620.37894736842
Midmean - Empirical Distribution Function1620.37894736842
Midmean - Empirical Distribution Function - Averaging1620.37894736842
Midmean - Empirical Distribution Function - Interpolation1619.90322580645
Midmean - Closest Observation1614.77659574468
Midmean - True Basic - Statistics Graphics Toolkit1620.37894736842
Midmean - MS Excel (old versions)1620.37894736842
Number of observations187

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 1664.06417112299 & 47.4580904334766 & 35.0638670018879 \tabularnewline
Geometric Mean & 1536.17482508946 &  &  \tabularnewline
Harmonic Mean & 1406.55618309747 &  &  \tabularnewline
Quadratic Mean & 1785.50604879048 &  &  \tabularnewline
Winsorized Mean ( 1 / 62 ) & 1663.06417112299 & 47.0830514315 & 35.3219283916325 \tabularnewline
Winsorized Mean ( 2 / 62 ) & 1659.57754010695 & 46.2937353338631 & 35.8488579100032 \tabularnewline
Winsorized Mean ( 3 / 62 ) & 1660.39572192513 & 46.0884941521660 & 36.0262523753361 \tabularnewline
Winsorized Mean ( 4 / 62 ) & 1655.41176470588 & 45.062421740163 & 36.7359698120809 \tabularnewline
Winsorized Mean ( 5 / 62 ) & 1652.47058823529 & 44.2928920874087 & 37.3078051659907 \tabularnewline
Winsorized Mean ( 6 / 62 ) & 1650.93048128342 & 43.8586878565255 & 37.6420399690044 \tabularnewline
Winsorized Mean ( 7 / 62 ) & 1650.5935828877 & 43.7709119747518 & 37.7098284778669 \tabularnewline
Winsorized Mean ( 8 / 62 ) & 1647.21390374332 & 43.0933089596638 & 38.2243541633143 \tabularnewline
Winsorized Mean ( 9 / 62 ) & 1648.03208556150 & 42.5288436447515 & 38.7509262966965 \tabularnewline
Winsorized Mean ( 10 / 62 ) & 1648.35294117647 & 42.2513285690819 & 39.0130440154414 \tabularnewline
Winsorized Mean ( 11 / 62 ) & 1648.35294117647 & 42.1818096237314 & 39.0773405854335 \tabularnewline
Winsorized Mean ( 12 / 62 ) & 1647.32620320856 & 41.975056015619 & 39.2453604492054 \tabularnewline
Winsorized Mean ( 13 / 62 ) & 1646.97860962567 & 41.6729091687739 & 39.5215655080728 \tabularnewline
Winsorized Mean ( 14 / 62 ) & 1644.73262032086 & 41.3604727692285 & 39.7658080336187 \tabularnewline
Winsorized Mean ( 15 / 62 ) & 1648.74331550802 & 40.9287404962195 & 40.2832653904977 \tabularnewline
Winsorized Mean ( 16 / 62 ) & 1644.80748663102 & 40.3775847390886 & 40.7356580949409 \tabularnewline
Winsorized Mean ( 17 / 62 ) & 1642.26203208556 & 40.0001754353391 & 41.0563707336809 \tabularnewline
Winsorized Mean ( 18 / 62 ) & 1638.31550802139 & 39.4893080550281 & 41.4875719204401 \tabularnewline
Winsorized Mean ( 19 / 62 ) & 1640.34759358289 & 39.1995393755146 & 41.8460935948525 \tabularnewline
Winsorized Mean ( 20 / 62 ) & 1640.34759358289 & 38.8409191122191 & 42.2324607933092 \tabularnewline
Winsorized Mean ( 21 / 62 ) & 1638.10160427807 & 37.9965456476583 & 43.1118559952312 \tabularnewline
Winsorized Mean ( 22 / 62 ) & 1637.98395721925 & 37.9125299362232 & 43.2042905069824 \tabularnewline
Winsorized Mean ( 23 / 62 ) & 1636.50802139037 & 37.6819102810343 & 43.4295397761202 \tabularnewline
Winsorized Mean ( 24 / 62 ) & 1634.32620320856 & 37.3515989504485 & 43.755187170881 \tabularnewline
Winsorized Mean ( 25 / 62 ) & 1634.05882352941 & 37.1382834088857 & 43.999309433307 \tabularnewline
Winsorized Mean ( 26 / 62 ) & 1631.97326203209 & 36.8432601686966 & 44.2950285767238 \tabularnewline
Winsorized Mean ( 27 / 62 ) & 1631.39572192513 & 36.3343920947146 & 44.8994913048909 \tabularnewline
Winsorized Mean ( 28 / 62 ) & 1628.40106951872 & 36.0380243892459 & 45.1856364802463 \tabularnewline
Winsorized Mean ( 29 / 62 ) & 1624.05882352941 & 35.6172383886131 & 45.5975504279587 \tabularnewline
Winsorized Mean ( 30 / 62 ) & 1624.05882352941 & 35.5866886260044 & 45.6366941188976 \tabularnewline
Winsorized Mean ( 31 / 62 ) & 1624.05882352941 & 35.5236197322196 & 45.717717838771 \tabularnewline
Winsorized Mean ( 32 / 62 ) & 1625.08556149733 & 35.4267447219038 & 45.8717156841272 \tabularnewline
Winsorized Mean ( 33 / 62 ) & 1624.37967914439 & 35.2925565255551 & 46.0261267264156 \tabularnewline
Winsorized Mean ( 34 / 62 ) & 1621.10695187166 & 34.9492760498821 & 46.3845645774722 \tabularnewline
Winsorized Mean ( 35 / 62 ) & 1621.66844919786 & 34.7559583179902 & 46.6587177473528 \tabularnewline
Winsorized Mean ( 36 / 62 ) & 1621.86096256684 & 34.6658396866027 & 46.7855669220568 \tabularnewline
Winsorized Mean ( 37 / 62 ) & 1623.04812834225 & 33.9301611884465 & 47.8349666341965 \tabularnewline
Winsorized Mean ( 38 / 62 ) & 1623.25133689840 & 33.7989329427529 & 48.0267036727989 \tabularnewline
Winsorized Mean ( 39 / 62 ) & 1626.37967914439 & 33.3982043893221 & 48.6966203387977 \tabularnewline
Winsorized Mean ( 40 / 62 ) & 1626.37967914439 & 33.3590304215498 & 48.7538054491461 \tabularnewline
Winsorized Mean ( 41 / 62 ) & 1625.94117647059 & 32.8387269748977 & 49.5129174073489 \tabularnewline
Winsorized Mean ( 42 / 62 ) & 1625.26737967914 & 32.7362441679120 & 49.6473380190703 \tabularnewline
Winsorized Mean ( 43 / 62 ) & 1631.24598930481 & 32.1619937825909 & 50.7196786471552 \tabularnewline
Winsorized Mean ( 44 / 62 ) & 1632.65775401070 & 31.6161535522235 & 51.6399868603204 \tabularnewline
Winsorized Mean ( 45 / 62 ) & 1629.04812834225 & 31.1163309654708 & 52.3534773476337 \tabularnewline
Winsorized Mean ( 46 / 62 ) & 1631.26203208556 & 30.7062462684646 & 53.124762233177 \tabularnewline
Winsorized Mean ( 47 / 62 ) & 1630.00534759358 & 30.5486360568135 & 53.3577127490127 \tabularnewline
Winsorized Mean ( 48 / 62 ) & 1631.80213903743 & 30.2132786703800 & 54.0094359450367 \tabularnewline
Winsorized Mean ( 49 / 62 ) & 1626.56149732620 & 29.6996281107756 & 54.7670661484161 \tabularnewline
Winsorized Mean ( 50 / 62 ) & 1625.22459893048 & 29.2089379151783 & 55.6413452502134 \tabularnewline
Winsorized Mean ( 51 / 62 ) & 1625.77005347594 & 29.0201803486607 & 56.0220520321807 \tabularnewline
Winsorized Mean ( 52 / 62 ) & 1630.49732620321 & 28.4265194879138 & 57.3583173591284 \tabularnewline
Winsorized Mean ( 53 / 62 ) & 1629.08021390374 & 27.9124965479329 & 58.3638303763404 \tabularnewline
Winsorized Mean ( 54 / 62 ) & 1629.36898395722 & 27.6410957598669 & 58.9473368969314 \tabularnewline
Winsorized Mean ( 55 / 62 ) & 1626.13368983957 & 27.3597918473277 & 59.4351630638739 \tabularnewline
Winsorized Mean ( 56 / 62 ) & 1626.43315508021 & 27.0796141107358 & 60.0611644032035 \tabularnewline
Winsorized Mean ( 57 / 62 ) & 1623.99465240642 & 26.7140264614383 & 60.7918336365599 \tabularnewline
Winsorized Mean ( 58 / 62 ) & 1623.06417112299 & 26.5815572436362 & 61.059785032405 \tabularnewline
Winsorized Mean ( 59 / 62 ) & 1617.06951871658 & 25.9107512760714 & 62.4092100413138 \tabularnewline
Winsorized Mean ( 60 / 62 ) & 1618.67379679144 & 25.3441978057595 & 63.8676279753308 \tabularnewline
Winsorized Mean ( 61 / 62 ) & 1622.26203208556 & 24.7724206303445 & 65.4866174078444 \tabularnewline
Winsorized Mean ( 62 / 62 ) & 1623.91978609626 & 24.5800574611653 & 66.0665577638267 \tabularnewline
Trimmed Mean ( 1 / 62 ) & 1664.06417112299 & 45.9235626441656 & 36.2355199664459 \tabularnewline
Trimmed Mean ( 2 / 62 ) & 1658.34054054054 & 44.6720778450856 & 37.1225297889960 \tabularnewline
Trimmed Mean ( 3 / 62 ) & 1650.38121546961 & 43.7716424399953 & 37.7043474603917 \tabularnewline
Trimmed Mean ( 4 / 62 ) & 1650.38121546961 & 42.8832430827396 & 38.4854571816162 \tabularnewline
Trimmed Mean ( 5 / 62 ) & 1644.64406779661 & 42.2393053541814 & 38.9363426790778 \tabularnewline
Trimmed Mean ( 6 / 62 ) & 1642.97142857143 & 41.7380512412456 & 39.3638749225513 \tabularnewline
Trimmed Mean ( 7 / 62 ) & 1642.97142857143 & 41.2914531621315 & 39.7896247952397 \tabularnewline
Trimmed Mean ( 8 / 62 ) & 1641.53757225434 & 40.8285449988549 & 40.2056348640486 \tabularnewline
Trimmed Mean ( 9 / 62 ) & 1639.14201183432 & 40.4438422282046 & 40.5288400292299 \tabularnewline
Trimmed Mean ( 10 / 62 ) & 1638.03592814371 & 40.1143403051595 & 40.8341734073844 \tabularnewline
Trimmed Mean ( 11 / 62 ) & 1636.86666666667 & 39.7974570244409 & 41.12993113257 \tabularnewline
Trimmed Mean ( 12 / 62 ) & 1635.66871165644 & 39.464647278964 & 41.4464292584292 \tabularnewline
Trimmed Mean ( 13 / 62 ) & 1634.54037267081 & 39.1308066690896 & 41.7711903179847 \tabularnewline
Trimmed Mean ( 14 / 62 ) & 1634.54037267081 & 38.8050702458356 & 42.1218248624668 \tabularnewline
Trimmed Mean ( 15 / 62 ) & 1632.45222929936 & 38.4875114651069 & 42.415115115441 \tabularnewline
Trimmed Mean ( 16 / 62 ) & 1632.45222929936 & 38.188136392058 & 42.7476274971843 \tabularnewline
Trimmed Mean ( 17 / 62 ) & 1630.09803921569 & 37.9195107912842 & 42.9883720860229 \tabularnewline
Trimmed Mean ( 18 / 62 ) & 1629.2119205298 & 37.6642605368801 & 43.2561770045774 \tabularnewline
Trimmed Mean ( 19 / 62 ) & 1628.57718120805 & 37.434304485262 & 43.5049402840977 \tabularnewline
Trimmed Mean ( 20 / 62 ) & 1627.78911564626 & 37.2088332591719 & 43.7473839695044 \tabularnewline
Trimmed Mean ( 21 / 62 ) & 1626.97931034483 & 36.9934361333294 & 43.9802159626636 \tabularnewline
Trimmed Mean ( 22 / 62 ) & 1626.28671328671 & 36.829204319245 & 44.1575305073018 \tabularnewline
Trimmed Mean ( 23 / 62 ) & 1625.58156028369 & 36.6540760680731 & 44.3492712042365 \tabularnewline
Trimmed Mean ( 24 / 62 ) & 1624.94244604317 & 36.4790382901253 & 44.5445527680764 \tabularnewline
Trimmed Mean ( 25 / 62 ) & 1624.40875912409 & 36.3115448658953 & 44.7353249530777 \tabularnewline
Trimmed Mean ( 26 / 62 ) & 1623.87407407407 & 36.1419035898012 & 44.9305076042622 \tabularnewline
Trimmed Mean ( 27 / 62 ) & 1623.43609022556 & 35.9760010786276 & 45.1255292848544 \tabularnewline
Trimmed Mean ( 28 / 62 ) & 1623.43609022556 & 35.8297812152107 & 45.3096847137981 \tabularnewline
Trimmed Mean ( 29 / 62 ) & 1622.73643410853 & 35.6877600985985 & 45.4703917989029 \tabularnewline
Trimmed Mean ( 30 / 62 ) & 1622.66929133858 & 35.5589855269846 & 45.633171680536 \tabularnewline
Trimmed Mean ( 31 / 62 ) & 1622.6 & 35.4143710577974 & 45.8175580007299 \tabularnewline
Trimmed Mean ( 32 / 62 ) & 1622.6 & 35.2547767493566 & 46.024968801699 \tabularnewline
Trimmed Mean ( 33 / 62 ) & 1622.40495867769 & 35.0811565551884 & 46.2471913126745 \tabularnewline
Trimmed Mean ( 34 / 62 ) & 1622.31092436975 & 34.8948381438295 & 46.4914299840827 \tabularnewline
Trimmed Mean ( 35 / 62 ) & 1622.36752136752 & 34.7102583301635 & 46.7402894537858 \tabularnewline
Trimmed Mean ( 36 / 62 ) & 1622.4 & 34.5156147022782 & 47.0048125752462 \tabularnewline
Trimmed Mean ( 37 / 62 ) & 1622.42477876106 & 34.3016426328522 & 47.2987488128978 \tabularnewline
Trimmed Mean ( 38 / 62 ) & 1622.39639639640 & 34.1160765571398 & 47.5551868832016 \tabularnewline
Trimmed Mean ( 39 / 62 ) & 1622.35779816514 & 33.9139682344813 & 47.8374511336494 \tabularnewline
Trimmed Mean ( 40 / 62 ) & 1622.17757009346 & 33.7143126578386 & 48.1153979485416 \tabularnewline
Trimmed Mean ( 41 / 62 ) & 1621.99047619048 & 33.4884144179261 & 48.4343766159988 \tabularnewline
Trimmed Mean ( 42 / 62 ) & 1621.81553398058 & 33.2718061922902 & 48.7444391989874 \tabularnewline
Trimmed Mean ( 43 / 62 ) & 1621.66336633663 & 33.0311082814749 & 49.0950334611123 \tabularnewline
Trimmed Mean ( 44 / 62 ) & 1621.24242424242 & 32.8015656786179 & 49.4257633957775 \tabularnewline
Trimmed Mean ( 45 / 62 ) & 1620.74226804124 & 32.5816687280252 & 49.7439919842765 \tabularnewline
Trimmed Mean ( 46 / 62 ) & 1620.37894736842 & 32.3687709082596 & 50.0599467295481 \tabularnewline
Trimmed Mean ( 47 / 62 ) & 1619.90322580645 & 32.1546893158903 & 50.3784443348958 \tabularnewline
Trimmed Mean ( 48 / 62 ) & 1619.46153846154 & 31.9176034261952 & 50.738820106162 \tabularnewline
Trimmed Mean ( 49 / 62 ) & 1618.92134831461 & 31.6694988350866 & 51.1192601040155 \tabularnewline
Trimmed Mean ( 50 / 62 ) & 1618.58620689655 & 31.4258696799964 & 51.5048978239363 \tabularnewline
Trimmed Mean ( 51 / 62 ) & 1618.58620689655 & 31.1839883119374 & 51.9044001269378 \tabularnewline
Trimmed Mean ( 52 / 62 ) & 1617.96385542169 & 30.9151172442167 & 52.3356855689868 \tabularnewline
Trimmed Mean ( 53 / 62 ) & 1617.40740740741 & 30.6533675761501 & 52.7644280319083 \tabularnewline
Trimmed Mean ( 54 / 62 ) & 1616.88607594937 & 30.3925309166826 & 53.2001128955618 \tabularnewline
Trimmed Mean ( 55 / 62 ) & 1616.32467532468 & 30.1074541853857 & 53.6851991992483 \tabularnewline
Trimmed Mean ( 56 / 62 ) & 1616.32467532468 & 29.7960452058643 & 54.2462821544706 \tabularnewline
Trimmed Mean ( 57 / 62 ) & 1615.39726027397 & 29.4529378473685 & 54.8467276386929 \tabularnewline
Trimmed Mean ( 58 / 62 ) & 1615 & 29.0829591181227 & 55.5308004746199 \tabularnewline
Trimmed Mean ( 59 / 62 ) & 1614.62318840580 & 28.6535297332835 & 56.3498878998588 \tabularnewline
Trimmed Mean ( 60 / 62 ) & 1614.50746268657 & 28.2207680128302 & 57.2099052000482 \tabularnewline
Trimmed Mean ( 61 / 62 ) & 1614.30769230769 & 27.76971686129 & 58.1319464066262 \tabularnewline
Trimmed Mean ( 62 / 62 ) & 1613.92063492063 & 27.2971108155656 & 59.1242291473694 \tabularnewline
Median & 1596 &  &  \tabularnewline
Midrange & 2193.5 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 1614.77659574468 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 1620.37894736842 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 1620.37894736842 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 1620.37894736842 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 1619.90322580645 &  &  \tabularnewline
Midmean - Closest Observation & 1614.77659574468 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 1620.37894736842 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 1620.37894736842 &  &  \tabularnewline
Number of observations & 187 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74424&T=1

[TABLE]
[ROW][C]Central Tendency - Ungrouped Data[/C][/ROW]
[ROW][C]Measure[/C][C]Value[/C][C]S.E.[/C][C]Value/S.E.[/C][/ROW]
[ROW][C]Arithmetic Mean[/C][C]1664.06417112299[/C][C]47.4580904334766[/C][C]35.0638670018879[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]1536.17482508946[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]1406.55618309747[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]1785.50604879048[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 62 )[/C][C]1663.06417112299[/C][C]47.0830514315[/C][C]35.3219283916325[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 62 )[/C][C]1659.57754010695[/C][C]46.2937353338631[/C][C]35.8488579100032[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 62 )[/C][C]1660.39572192513[/C][C]46.0884941521660[/C][C]36.0262523753361[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 62 )[/C][C]1655.41176470588[/C][C]45.062421740163[/C][C]36.7359698120809[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 62 )[/C][C]1652.47058823529[/C][C]44.2928920874087[/C][C]37.3078051659907[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 62 )[/C][C]1650.93048128342[/C][C]43.8586878565255[/C][C]37.6420399690044[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 62 )[/C][C]1650.5935828877[/C][C]43.7709119747518[/C][C]37.7098284778669[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 62 )[/C][C]1647.21390374332[/C][C]43.0933089596638[/C][C]38.2243541633143[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 62 )[/C][C]1648.03208556150[/C][C]42.5288436447515[/C][C]38.7509262966965[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 62 )[/C][C]1648.35294117647[/C][C]42.2513285690819[/C][C]39.0130440154414[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 62 )[/C][C]1648.35294117647[/C][C]42.1818096237314[/C][C]39.0773405854335[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 62 )[/C][C]1647.32620320856[/C][C]41.975056015619[/C][C]39.2453604492054[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 62 )[/C][C]1646.97860962567[/C][C]41.6729091687739[/C][C]39.5215655080728[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 62 )[/C][C]1644.73262032086[/C][C]41.3604727692285[/C][C]39.7658080336187[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 62 )[/C][C]1648.74331550802[/C][C]40.9287404962195[/C][C]40.2832653904977[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 62 )[/C][C]1644.80748663102[/C][C]40.3775847390886[/C][C]40.7356580949409[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 62 )[/C][C]1642.26203208556[/C][C]40.0001754353391[/C][C]41.0563707336809[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 62 )[/C][C]1638.31550802139[/C][C]39.4893080550281[/C][C]41.4875719204401[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 62 )[/C][C]1640.34759358289[/C][C]39.1995393755146[/C][C]41.8460935948525[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 62 )[/C][C]1640.34759358289[/C][C]38.8409191122191[/C][C]42.2324607933092[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 62 )[/C][C]1638.10160427807[/C][C]37.9965456476583[/C][C]43.1118559952312[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 62 )[/C][C]1637.98395721925[/C][C]37.9125299362232[/C][C]43.2042905069824[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 62 )[/C][C]1636.50802139037[/C][C]37.6819102810343[/C][C]43.4295397761202[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 62 )[/C][C]1634.32620320856[/C][C]37.3515989504485[/C][C]43.755187170881[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 62 )[/C][C]1634.05882352941[/C][C]37.1382834088857[/C][C]43.999309433307[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 62 )[/C][C]1631.97326203209[/C][C]36.8432601686966[/C][C]44.2950285767238[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 62 )[/C][C]1631.39572192513[/C][C]36.3343920947146[/C][C]44.8994913048909[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 62 )[/C][C]1628.40106951872[/C][C]36.0380243892459[/C][C]45.1856364802463[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 62 )[/C][C]1624.05882352941[/C][C]35.6172383886131[/C][C]45.5975504279587[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 62 )[/C][C]1624.05882352941[/C][C]35.5866886260044[/C][C]45.6366941188976[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 62 )[/C][C]1624.05882352941[/C][C]35.5236197322196[/C][C]45.717717838771[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 62 )[/C][C]1625.08556149733[/C][C]35.4267447219038[/C][C]45.8717156841272[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 62 )[/C][C]1624.37967914439[/C][C]35.2925565255551[/C][C]46.0261267264156[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 62 )[/C][C]1621.10695187166[/C][C]34.9492760498821[/C][C]46.3845645774722[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 62 )[/C][C]1621.66844919786[/C][C]34.7559583179902[/C][C]46.6587177473528[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 62 )[/C][C]1621.86096256684[/C][C]34.6658396866027[/C][C]46.7855669220568[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 62 )[/C][C]1623.04812834225[/C][C]33.9301611884465[/C][C]47.8349666341965[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 62 )[/C][C]1623.25133689840[/C][C]33.7989329427529[/C][C]48.0267036727989[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 62 )[/C][C]1626.37967914439[/C][C]33.3982043893221[/C][C]48.6966203387977[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 62 )[/C][C]1626.37967914439[/C][C]33.3590304215498[/C][C]48.7538054491461[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 62 )[/C][C]1625.94117647059[/C][C]32.8387269748977[/C][C]49.5129174073489[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 62 )[/C][C]1625.26737967914[/C][C]32.7362441679120[/C][C]49.6473380190703[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 62 )[/C][C]1631.24598930481[/C][C]32.1619937825909[/C][C]50.7196786471552[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 62 )[/C][C]1632.65775401070[/C][C]31.6161535522235[/C][C]51.6399868603204[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 62 )[/C][C]1629.04812834225[/C][C]31.1163309654708[/C][C]52.3534773476337[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 62 )[/C][C]1631.26203208556[/C][C]30.7062462684646[/C][C]53.124762233177[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 62 )[/C][C]1630.00534759358[/C][C]30.5486360568135[/C][C]53.3577127490127[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 62 )[/C][C]1631.80213903743[/C][C]30.2132786703800[/C][C]54.0094359450367[/C][/ROW]
[ROW][C]Winsorized Mean ( 49 / 62 )[/C][C]1626.56149732620[/C][C]29.6996281107756[/C][C]54.7670661484161[/C][/ROW]
[ROW][C]Winsorized Mean ( 50 / 62 )[/C][C]1625.22459893048[/C][C]29.2089379151783[/C][C]55.6413452502134[/C][/ROW]
[ROW][C]Winsorized Mean ( 51 / 62 )[/C][C]1625.77005347594[/C][C]29.0201803486607[/C][C]56.0220520321807[/C][/ROW]
[ROW][C]Winsorized Mean ( 52 / 62 )[/C][C]1630.49732620321[/C][C]28.4265194879138[/C][C]57.3583173591284[/C][/ROW]
[ROW][C]Winsorized Mean ( 53 / 62 )[/C][C]1629.08021390374[/C][C]27.9124965479329[/C][C]58.3638303763404[/C][/ROW]
[ROW][C]Winsorized Mean ( 54 / 62 )[/C][C]1629.36898395722[/C][C]27.6410957598669[/C][C]58.9473368969314[/C][/ROW]
[ROW][C]Winsorized Mean ( 55 / 62 )[/C][C]1626.13368983957[/C][C]27.3597918473277[/C][C]59.4351630638739[/C][/ROW]
[ROW][C]Winsorized Mean ( 56 / 62 )[/C][C]1626.43315508021[/C][C]27.0796141107358[/C][C]60.0611644032035[/C][/ROW]
[ROW][C]Winsorized Mean ( 57 / 62 )[/C][C]1623.99465240642[/C][C]26.7140264614383[/C][C]60.7918336365599[/C][/ROW]
[ROW][C]Winsorized Mean ( 58 / 62 )[/C][C]1623.06417112299[/C][C]26.5815572436362[/C][C]61.059785032405[/C][/ROW]
[ROW][C]Winsorized Mean ( 59 / 62 )[/C][C]1617.06951871658[/C][C]25.9107512760714[/C][C]62.4092100413138[/C][/ROW]
[ROW][C]Winsorized Mean ( 60 / 62 )[/C][C]1618.67379679144[/C][C]25.3441978057595[/C][C]63.8676279753308[/C][/ROW]
[ROW][C]Winsorized Mean ( 61 / 62 )[/C][C]1622.26203208556[/C][C]24.7724206303445[/C][C]65.4866174078444[/C][/ROW]
[ROW][C]Winsorized Mean ( 62 / 62 )[/C][C]1623.91978609626[/C][C]24.5800574611653[/C][C]66.0665577638267[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 62 )[/C][C]1664.06417112299[/C][C]45.9235626441656[/C][C]36.2355199664459[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 62 )[/C][C]1658.34054054054[/C][C]44.6720778450856[/C][C]37.1225297889960[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 62 )[/C][C]1650.38121546961[/C][C]43.7716424399953[/C][C]37.7043474603917[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 62 )[/C][C]1650.38121546961[/C][C]42.8832430827396[/C][C]38.4854571816162[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 62 )[/C][C]1644.64406779661[/C][C]42.2393053541814[/C][C]38.9363426790778[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 62 )[/C][C]1642.97142857143[/C][C]41.7380512412456[/C][C]39.3638749225513[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 62 )[/C][C]1642.97142857143[/C][C]41.2914531621315[/C][C]39.7896247952397[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 62 )[/C][C]1641.53757225434[/C][C]40.8285449988549[/C][C]40.2056348640486[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 62 )[/C][C]1639.14201183432[/C][C]40.4438422282046[/C][C]40.5288400292299[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 62 )[/C][C]1638.03592814371[/C][C]40.1143403051595[/C][C]40.8341734073844[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 62 )[/C][C]1636.86666666667[/C][C]39.7974570244409[/C][C]41.12993113257[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 62 )[/C][C]1635.66871165644[/C][C]39.464647278964[/C][C]41.4464292584292[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 62 )[/C][C]1634.54037267081[/C][C]39.1308066690896[/C][C]41.7711903179847[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 62 )[/C][C]1634.54037267081[/C][C]38.8050702458356[/C][C]42.1218248624668[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 62 )[/C][C]1632.45222929936[/C][C]38.4875114651069[/C][C]42.415115115441[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 62 )[/C][C]1632.45222929936[/C][C]38.188136392058[/C][C]42.7476274971843[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 62 )[/C][C]1630.09803921569[/C][C]37.9195107912842[/C][C]42.9883720860229[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 62 )[/C][C]1629.2119205298[/C][C]37.6642605368801[/C][C]43.2561770045774[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 62 )[/C][C]1628.57718120805[/C][C]37.434304485262[/C][C]43.5049402840977[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 62 )[/C][C]1627.78911564626[/C][C]37.2088332591719[/C][C]43.7473839695044[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 62 )[/C][C]1626.97931034483[/C][C]36.9934361333294[/C][C]43.9802159626636[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 62 )[/C][C]1626.28671328671[/C][C]36.829204319245[/C][C]44.1575305073018[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 62 )[/C][C]1625.58156028369[/C][C]36.6540760680731[/C][C]44.3492712042365[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 62 )[/C][C]1624.94244604317[/C][C]36.4790382901253[/C][C]44.5445527680764[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 62 )[/C][C]1624.40875912409[/C][C]36.3115448658953[/C][C]44.7353249530777[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 62 )[/C][C]1623.87407407407[/C][C]36.1419035898012[/C][C]44.9305076042622[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 62 )[/C][C]1623.43609022556[/C][C]35.9760010786276[/C][C]45.1255292848544[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 62 )[/C][C]1623.43609022556[/C][C]35.8297812152107[/C][C]45.3096847137981[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 62 )[/C][C]1622.73643410853[/C][C]35.6877600985985[/C][C]45.4703917989029[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 62 )[/C][C]1622.66929133858[/C][C]35.5589855269846[/C][C]45.633171680536[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 62 )[/C][C]1622.6[/C][C]35.4143710577974[/C][C]45.8175580007299[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 62 )[/C][C]1622.6[/C][C]35.2547767493566[/C][C]46.024968801699[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 62 )[/C][C]1622.40495867769[/C][C]35.0811565551884[/C][C]46.2471913126745[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 62 )[/C][C]1622.31092436975[/C][C]34.8948381438295[/C][C]46.4914299840827[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 62 )[/C][C]1622.36752136752[/C][C]34.7102583301635[/C][C]46.7402894537858[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 62 )[/C][C]1622.4[/C][C]34.5156147022782[/C][C]47.0048125752462[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 62 )[/C][C]1622.42477876106[/C][C]34.3016426328522[/C][C]47.2987488128978[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 62 )[/C][C]1622.39639639640[/C][C]34.1160765571398[/C][C]47.5551868832016[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 62 )[/C][C]1622.35779816514[/C][C]33.9139682344813[/C][C]47.8374511336494[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 62 )[/C][C]1622.17757009346[/C][C]33.7143126578386[/C][C]48.1153979485416[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 62 )[/C][C]1621.99047619048[/C][C]33.4884144179261[/C][C]48.4343766159988[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 62 )[/C][C]1621.81553398058[/C][C]33.2718061922902[/C][C]48.7444391989874[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 62 )[/C][C]1621.66336633663[/C][C]33.0311082814749[/C][C]49.0950334611123[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 62 )[/C][C]1621.24242424242[/C][C]32.8015656786179[/C][C]49.4257633957775[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 62 )[/C][C]1620.74226804124[/C][C]32.5816687280252[/C][C]49.7439919842765[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 62 )[/C][C]1620.37894736842[/C][C]32.3687709082596[/C][C]50.0599467295481[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 62 )[/C][C]1619.90322580645[/C][C]32.1546893158903[/C][C]50.3784443348958[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 62 )[/C][C]1619.46153846154[/C][C]31.9176034261952[/C][C]50.738820106162[/C][/ROW]
[ROW][C]Trimmed Mean ( 49 / 62 )[/C][C]1618.92134831461[/C][C]31.6694988350866[/C][C]51.1192601040155[/C][/ROW]
[ROW][C]Trimmed Mean ( 50 / 62 )[/C][C]1618.58620689655[/C][C]31.4258696799964[/C][C]51.5048978239363[/C][/ROW]
[ROW][C]Trimmed Mean ( 51 / 62 )[/C][C]1618.58620689655[/C][C]31.1839883119374[/C][C]51.9044001269378[/C][/ROW]
[ROW][C]Trimmed Mean ( 52 / 62 )[/C][C]1617.96385542169[/C][C]30.9151172442167[/C][C]52.3356855689868[/C][/ROW]
[ROW][C]Trimmed Mean ( 53 / 62 )[/C][C]1617.40740740741[/C][C]30.6533675761501[/C][C]52.7644280319083[/C][/ROW]
[ROW][C]Trimmed Mean ( 54 / 62 )[/C][C]1616.88607594937[/C][C]30.3925309166826[/C][C]53.2001128955618[/C][/ROW]
[ROW][C]Trimmed Mean ( 55 / 62 )[/C][C]1616.32467532468[/C][C]30.1074541853857[/C][C]53.6851991992483[/C][/ROW]
[ROW][C]Trimmed Mean ( 56 / 62 )[/C][C]1616.32467532468[/C][C]29.7960452058643[/C][C]54.2462821544706[/C][/ROW]
[ROW][C]Trimmed Mean ( 57 / 62 )[/C][C]1615.39726027397[/C][C]29.4529378473685[/C][C]54.8467276386929[/C][/ROW]
[ROW][C]Trimmed Mean ( 58 / 62 )[/C][C]1615[/C][C]29.0829591181227[/C][C]55.5308004746199[/C][/ROW]
[ROW][C]Trimmed Mean ( 59 / 62 )[/C][C]1614.62318840580[/C][C]28.6535297332835[/C][C]56.3498878998588[/C][/ROW]
[ROW][C]Trimmed Mean ( 60 / 62 )[/C][C]1614.50746268657[/C][C]28.2207680128302[/C][C]57.2099052000482[/C][/ROW]
[ROW][C]Trimmed Mean ( 61 / 62 )[/C][C]1614.30769230769[/C][C]27.76971686129[/C][C]58.1319464066262[/C][/ROW]
[ROW][C]Trimmed Mean ( 62 / 62 )[/C][C]1613.92063492063[/C][C]27.2971108155656[/C][C]59.1242291473694[/C][/ROW]
[ROW][C]Median[/C][C]1596[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]2193.5[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]1614.77659574468[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]1620.37894736842[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]1620.37894736842[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]1620.37894736842[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]1619.90322580645[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]1614.77659574468[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]1620.37894736842[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]1620.37894736842[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]187[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74424&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74424&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean1664.0641711229947.458090433476635.0638670018879
Geometric Mean1536.17482508946
Harmonic Mean1406.55618309747
Quadratic Mean1785.50604879048
Winsorized Mean ( 1 / 62 )1663.0641711229947.083051431535.3219283916325
Winsorized Mean ( 2 / 62 )1659.5775401069546.293735333863135.8488579100032
Winsorized Mean ( 3 / 62 )1660.3957219251346.088494152166036.0262523753361
Winsorized Mean ( 4 / 62 )1655.4117647058845.06242174016336.7359698120809
Winsorized Mean ( 5 / 62 )1652.4705882352944.292892087408737.3078051659907
Winsorized Mean ( 6 / 62 )1650.9304812834243.858687856525537.6420399690044
Winsorized Mean ( 7 / 62 )1650.593582887743.770911974751837.7098284778669
Winsorized Mean ( 8 / 62 )1647.2139037433243.093308959663838.2243541633143
Winsorized Mean ( 9 / 62 )1648.0320855615042.528843644751538.7509262966965
Winsorized Mean ( 10 / 62 )1648.3529411764742.251328569081939.0130440154414
Winsorized Mean ( 11 / 62 )1648.3529411764742.181809623731439.0773405854335
Winsorized Mean ( 12 / 62 )1647.3262032085641.97505601561939.2453604492054
Winsorized Mean ( 13 / 62 )1646.9786096256741.672909168773939.5215655080728
Winsorized Mean ( 14 / 62 )1644.7326203208641.360472769228539.7658080336187
Winsorized Mean ( 15 / 62 )1648.7433155080240.928740496219540.2832653904977
Winsorized Mean ( 16 / 62 )1644.8074866310240.377584739088640.7356580949409
Winsorized Mean ( 17 / 62 )1642.2620320855640.000175435339141.0563707336809
Winsorized Mean ( 18 / 62 )1638.3155080213939.489308055028141.4875719204401
Winsorized Mean ( 19 / 62 )1640.3475935828939.199539375514641.8460935948525
Winsorized Mean ( 20 / 62 )1640.3475935828938.840919112219142.2324607933092
Winsorized Mean ( 21 / 62 )1638.1016042780737.996545647658343.1118559952312
Winsorized Mean ( 22 / 62 )1637.9839572192537.912529936223243.2042905069824
Winsorized Mean ( 23 / 62 )1636.5080213903737.681910281034343.4295397761202
Winsorized Mean ( 24 / 62 )1634.3262032085637.351598950448543.755187170881
Winsorized Mean ( 25 / 62 )1634.0588235294137.138283408885743.999309433307
Winsorized Mean ( 26 / 62 )1631.9732620320936.843260168696644.2950285767238
Winsorized Mean ( 27 / 62 )1631.3957219251336.334392094714644.8994913048909
Winsorized Mean ( 28 / 62 )1628.4010695187236.038024389245945.1856364802463
Winsorized Mean ( 29 / 62 )1624.0588235294135.617238388613145.5975504279587
Winsorized Mean ( 30 / 62 )1624.0588235294135.586688626004445.6366941188976
Winsorized Mean ( 31 / 62 )1624.0588235294135.523619732219645.717717838771
Winsorized Mean ( 32 / 62 )1625.0855614973335.426744721903845.8717156841272
Winsorized Mean ( 33 / 62 )1624.3796791443935.292556525555146.0261267264156
Winsorized Mean ( 34 / 62 )1621.1069518716634.949276049882146.3845645774722
Winsorized Mean ( 35 / 62 )1621.6684491978634.755958317990246.6587177473528
Winsorized Mean ( 36 / 62 )1621.8609625668434.665839686602746.7855669220568
Winsorized Mean ( 37 / 62 )1623.0481283422533.930161188446547.8349666341965
Winsorized Mean ( 38 / 62 )1623.2513368984033.798932942752948.0267036727989
Winsorized Mean ( 39 / 62 )1626.3796791443933.398204389322148.6966203387977
Winsorized Mean ( 40 / 62 )1626.3796791443933.359030421549848.7538054491461
Winsorized Mean ( 41 / 62 )1625.9411764705932.838726974897749.5129174073489
Winsorized Mean ( 42 / 62 )1625.2673796791432.736244167912049.6473380190703
Winsorized Mean ( 43 / 62 )1631.2459893048132.161993782590950.7196786471552
Winsorized Mean ( 44 / 62 )1632.6577540107031.616153552223551.6399868603204
Winsorized Mean ( 45 / 62 )1629.0481283422531.116330965470852.3534773476337
Winsorized Mean ( 46 / 62 )1631.2620320855630.706246268464653.124762233177
Winsorized Mean ( 47 / 62 )1630.0053475935830.548636056813553.3577127490127
Winsorized Mean ( 48 / 62 )1631.8021390374330.213278670380054.0094359450367
Winsorized Mean ( 49 / 62 )1626.5614973262029.699628110775654.7670661484161
Winsorized Mean ( 50 / 62 )1625.2245989304829.208937915178355.6413452502134
Winsorized Mean ( 51 / 62 )1625.7700534759429.020180348660756.0220520321807
Winsorized Mean ( 52 / 62 )1630.4973262032128.426519487913857.3583173591284
Winsorized Mean ( 53 / 62 )1629.0802139037427.912496547932958.3638303763404
Winsorized Mean ( 54 / 62 )1629.3689839572227.641095759866958.9473368969314
Winsorized Mean ( 55 / 62 )1626.1336898395727.359791847327759.4351630638739
Winsorized Mean ( 56 / 62 )1626.4331550802127.079614110735860.0611644032035
Winsorized Mean ( 57 / 62 )1623.9946524064226.714026461438360.7918336365599
Winsorized Mean ( 58 / 62 )1623.0641711229926.581557243636261.059785032405
Winsorized Mean ( 59 / 62 )1617.0695187165825.910751276071462.4092100413138
Winsorized Mean ( 60 / 62 )1618.6737967914425.344197805759563.8676279753308
Winsorized Mean ( 61 / 62 )1622.2620320855624.772420630344565.4866174078444
Winsorized Mean ( 62 / 62 )1623.9197860962624.580057461165366.0665577638267
Trimmed Mean ( 1 / 62 )1664.0641711229945.923562644165636.2355199664459
Trimmed Mean ( 2 / 62 )1658.3405405405444.672077845085637.1225297889960
Trimmed Mean ( 3 / 62 )1650.3812154696143.771642439995337.7043474603917
Trimmed Mean ( 4 / 62 )1650.3812154696142.883243082739638.4854571816162
Trimmed Mean ( 5 / 62 )1644.6440677966142.239305354181438.9363426790778
Trimmed Mean ( 6 / 62 )1642.9714285714341.738051241245639.3638749225513
Trimmed Mean ( 7 / 62 )1642.9714285714341.291453162131539.7896247952397
Trimmed Mean ( 8 / 62 )1641.5375722543440.828544998854940.2056348640486
Trimmed Mean ( 9 / 62 )1639.1420118343240.443842228204640.5288400292299
Trimmed Mean ( 10 / 62 )1638.0359281437140.114340305159540.8341734073844
Trimmed Mean ( 11 / 62 )1636.8666666666739.797457024440941.12993113257
Trimmed Mean ( 12 / 62 )1635.6687116564439.46464727896441.4464292584292
Trimmed Mean ( 13 / 62 )1634.5403726708139.130806669089641.7711903179847
Trimmed Mean ( 14 / 62 )1634.5403726708138.805070245835642.1218248624668
Trimmed Mean ( 15 / 62 )1632.4522292993638.487511465106942.415115115441
Trimmed Mean ( 16 / 62 )1632.4522292993638.18813639205842.7476274971843
Trimmed Mean ( 17 / 62 )1630.0980392156937.919510791284242.9883720860229
Trimmed Mean ( 18 / 62 )1629.211920529837.664260536880143.2561770045774
Trimmed Mean ( 19 / 62 )1628.5771812080537.43430448526243.5049402840977
Trimmed Mean ( 20 / 62 )1627.7891156462637.208833259171943.7473839695044
Trimmed Mean ( 21 / 62 )1626.9793103448336.993436133329443.9802159626636
Trimmed Mean ( 22 / 62 )1626.2867132867136.82920431924544.1575305073018
Trimmed Mean ( 23 / 62 )1625.5815602836936.654076068073144.3492712042365
Trimmed Mean ( 24 / 62 )1624.9424460431736.479038290125344.5445527680764
Trimmed Mean ( 25 / 62 )1624.4087591240936.311544865895344.7353249530777
Trimmed Mean ( 26 / 62 )1623.8740740740736.141903589801244.9305076042622
Trimmed Mean ( 27 / 62 )1623.4360902255635.976001078627645.1255292848544
Trimmed Mean ( 28 / 62 )1623.4360902255635.829781215210745.3096847137981
Trimmed Mean ( 29 / 62 )1622.7364341085335.687760098598545.4703917989029
Trimmed Mean ( 30 / 62 )1622.6692913385835.558985526984645.633171680536
Trimmed Mean ( 31 / 62 )1622.635.414371057797445.8175580007299
Trimmed Mean ( 32 / 62 )1622.635.254776749356646.024968801699
Trimmed Mean ( 33 / 62 )1622.4049586776935.081156555188446.2471913126745
Trimmed Mean ( 34 / 62 )1622.3109243697534.894838143829546.4914299840827
Trimmed Mean ( 35 / 62 )1622.3675213675234.710258330163546.7402894537858
Trimmed Mean ( 36 / 62 )1622.434.515614702278247.0048125752462
Trimmed Mean ( 37 / 62 )1622.4247787610634.301642632852247.2987488128978
Trimmed Mean ( 38 / 62 )1622.3963963964034.116076557139847.5551868832016
Trimmed Mean ( 39 / 62 )1622.3577981651433.913968234481347.8374511336494
Trimmed Mean ( 40 / 62 )1622.1775700934633.714312657838648.1153979485416
Trimmed Mean ( 41 / 62 )1621.9904761904833.488414417926148.4343766159988
Trimmed Mean ( 42 / 62 )1621.8155339805833.271806192290248.7444391989874
Trimmed Mean ( 43 / 62 )1621.6633663366333.031108281474949.0950334611123
Trimmed Mean ( 44 / 62 )1621.2424242424232.801565678617949.4257633957775
Trimmed Mean ( 45 / 62 )1620.7422680412432.581668728025249.7439919842765
Trimmed Mean ( 46 / 62 )1620.3789473684232.368770908259650.0599467295481
Trimmed Mean ( 47 / 62 )1619.9032258064532.154689315890350.3784443348958
Trimmed Mean ( 48 / 62 )1619.4615384615431.917603426195250.738820106162
Trimmed Mean ( 49 / 62 )1618.9213483146131.669498835086651.1192601040155
Trimmed Mean ( 50 / 62 )1618.5862068965531.425869679996451.5048978239363
Trimmed Mean ( 51 / 62 )1618.5862068965531.183988311937451.9044001269378
Trimmed Mean ( 52 / 62 )1617.9638554216930.915117244216752.3356855689868
Trimmed Mean ( 53 / 62 )1617.4074074074130.653367576150152.7644280319083
Trimmed Mean ( 54 / 62 )1616.8860759493730.392530916682653.2001128955618
Trimmed Mean ( 55 / 62 )1616.3246753246830.107454185385753.6851991992483
Trimmed Mean ( 56 / 62 )1616.3246753246829.796045205864354.2462821544706
Trimmed Mean ( 57 / 62 )1615.3972602739729.452937847368554.8467276386929
Trimmed Mean ( 58 / 62 )161529.082959118122755.5308004746199
Trimmed Mean ( 59 / 62 )1614.6231884058028.653529733283556.3498878998588
Trimmed Mean ( 60 / 62 )1614.5074626865728.220768012830257.2099052000482
Trimmed Mean ( 61 / 62 )1614.3076923076927.7697168612958.1319464066262
Trimmed Mean ( 62 / 62 )1613.9206349206327.297110815565659.1242291473694
Median1596
Midrange2193.5
Midmean - Weighted Average at Xnp1614.77659574468
Midmean - Weighted Average at X(n+1)p1620.37894736842
Midmean - Empirical Distribution Function1620.37894736842
Midmean - Empirical Distribution Function - Averaging1620.37894736842
Midmean - Empirical Distribution Function - Interpolation1619.90322580645
Midmean - Closest Observation1614.77659574468
Midmean - True Basic - Statistics Graphics Toolkit1620.37894736842
Midmean - MS Excel (old versions)1620.37894736842
Number of observations187



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('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('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('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('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('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('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('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('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('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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')