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of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationThu, 25 Nov 2010 22:05:33 +0000
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/Nov/25/t12907226435ytb1jzoa3hpmx2.htm/, Retrieved Thu, 28 Mar 2024 12:48:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=101591, Retrieved Thu, 28 Mar 2024 12:48:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [Arabica Price in ...] [2008-01-06 21:28:17] [74be16979710d4c4e7c6647856088456]
-  MPD  [Central Tendency] [] [2010-11-24 13:59:03] [c895532cb7349383dee5125244983cc8]
-         [Central Tendency] [mini tutorial 2] [2010-11-25 22:00:41] [916599f00c9c716123aa8433d9efa14f]
-             [Central Tendency] [mini tutorial 3] [2010-11-25 22:05:33] [87bb5e10c18d96bd329dff2d857096c8] [Current]
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Dataseries X:
1687
1508
1507
1385
1632
1511
1559
1630
1579
1653
2152
2148
1752
1765
1717
1558
1575
1520
1805
1800
1719
2008
2242
2478
2030
1655
1693
1623
1805
1746
1795
1926
1619
1992
2233
2192
2080
1768
1835
1569
1976
1853
1965
1689
1778
1976
2397
2654
2097
1963
1677
1941
2003
1813
2012
1912
2084
2080
2118
2150
1608
1503
1548
1382
1731
1798
1779
1887
2004
2077
2092
2051
1577
1356
1652
1382
1519
1421
1442
1543
1656
1561
1905
2199
1473
1655
1407
1395
1530
1309
1526
1327
1627
1748
1958
2274
1648
1401
1411
1403
1394
1520
1528
1643
1515
1685
2000
2215
1956
1462
1563
1459
1446
1622
1657
1638
1643
1683
2050
2262
1813
1445
1762
1461
1556
1431
1427
1554
1645
1653
2016
2207
1665
1361
1506
1360
1453
1522
1460
1552
1548
1827
1737
1941
1474
1458
1542
1404
1522
1385
1641
1510
1681
1938
1868
1726
1456
1445
1456
1365
1487
1558
1488
1684
1594
1850
1998
2079
1494
1057
1218
1168
1236
1076
1174
1139
1427
1487
1483
1513
1357
1165
1282
1110
1297
1185
1222
1284
1444
1575
1737
1763





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=101591&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=101591&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101591&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean1670.3072916666720.900870592374679.9156802720006
Geometric Mean1646.00694926890
Harmonic Mean1622.25780784952
Quadratic Mean1695.10002931243
Winsorized Mean ( 1 / 64 )1669.4895833333320.678970437798180.7336897334962
Winsorized Mean ( 2 / 64 )166920.462042659289381.5656592936634
Winsorized Mean ( 3 / 64 )1667.5312520.067074896135483.097873438502
Winsorized Mean ( 4 / 64 )1667.8229166666719.954726229851983.5803457013423
Winsorized Mean ( 5 / 64 )1667.3802083333319.864390302599683.9381517848613
Winsorized Mean ( 6 / 64 )1667.2864583333319.797483928395184.217088614073
Winsorized Mean ( 7 / 64 )1667.0312519.648563301830184.8423991307664
Winsorized Mean ( 8 / 64 )1668.0729166666719.428304467561285.8578739823538
Winsorized Mean ( 9 / 64 )1667.8854166666719.351449741271886.189171300664
Winsorized Mean ( 10 / 64 )1668.2519.212305289060786.8323699264703
Winsorized Mean ( 11 / 64 )1668.5937518.593820394516889.7391560527315
Winsorized Mean ( 12 / 64 )1668.5937518.563244091728689.8869692040246
Winsorized Mean ( 13 / 64 )1669.3385416666718.450612254658790.4760513432374
Winsorized Mean ( 14 / 64 )1668.0260416666718.067624380885192.32127071622
Winsorized Mean ( 15 / 64 )1667.7916666666717.712558268197994.1587116560748
Winsorized Mean ( 16 / 64 )1669.7916666666717.423980726242295.8329610725408
Winsorized Mean ( 17 / 64 )1669.17187517.326301806692796.3374581386574
Winsorized Mean ( 18 / 64 )1669.07812517.252962024796396.7415405309053
Winsorized Mean ( 19 / 64 )1669.1770833333317.243691447015096.7992896684705
Winsorized Mean ( 20 / 64 )1669.4895833333317.191886818534297.1091539256466
Winsorized Mean ( 21 / 64 )1671.1302083333316.995536756898798.3275922518304
Winsorized Mean ( 22 / 64 )1668.1510416666716.6296736759734100.311712314404
Winsorized Mean ( 23 / 64 )1668.39062516.5829724251287100.608659426571
Winsorized Mean ( 24 / 64 )1665.89062516.2860141787223102.289645994321
Winsorized Mean ( 25 / 64 )1665.2395833333315.9694681857355104.276458299393
Winsorized Mean ( 26 / 64 )1664.8333333333315.8953141819711104.737365633303
Winsorized Mean ( 27 / 64 )1665.1145833333315.7565876891397105.677359602487
Winsorized Mean ( 28 / 64 )1664.8229166666715.6647321876384106.278415534000
Winsorized Mean ( 29 / 64 )1664.8229166666715.6344133766142106.484514421046
Winsorized Mean ( 30 / 64 )1664.8229166666715.5405755672271107.127494053537
Winsorized Mean ( 31 / 64 )1665.1458333333315.4482665597044107.788522867461
Winsorized Mean ( 32 / 64 )1665.812515.1935692847749109.639313105266
Winsorized Mean ( 33 / 64 )1664.0937514.8005208909569112.434809711107
Winsorized Mean ( 34 / 64 )1664.0937514.8005208909569112.434809711107
Winsorized Mean ( 35 / 64 )1662.8177083333314.5195832542902114.522412882754
Winsorized Mean ( 36 / 64 )1664.5052083333314.3084934270233116.329871961902
Winsorized Mean ( 37 / 64 )1663.9270833333314.1721863725573117.407931252960
Winsorized Mean ( 38 / 64 )1663.7291666666714.1131559679284117.88498408488
Winsorized Mean ( 39 / 64 )1660.6822916666713.7857575073348120.463622748557
Winsorized Mean ( 40 / 64 )1660.89062513.7687131735077120.627875972877
Winsorized Mean ( 41 / 64 )1661.7447916666713.5792472508874122.373851875926
Winsorized Mean ( 42 / 64 )1659.7760416666713.2485113196437125.280191986982
Winsorized Mean ( 43 / 64 )1656.64062512.9213330426200128.209730337861
Winsorized Mean ( 44 / 64 )1655.4947916666712.7186955237776130.162310165513
Winsorized Mean ( 45 / 64 )1651.5104166666712.2708689585983134.587894487247
Winsorized Mean ( 46 / 64 )1647.1979166666711.7992872922710139.601475569261
Winsorized Mean ( 47 / 64 )1643.7708333333311.4228670337337143.901774263763
Winsorized Mean ( 48 / 64 )1643.2708333333311.3301391298353145.035362276016
Winsorized Mean ( 49 / 64 )1642.2510.7337583788451152.998599561983
Winsorized Mean ( 50 / 64 )1640.4270833333310.5175295416995155.970760702827
Winsorized Mean ( 51 / 64 )1639.098958333339.9781353461252164.269064457002
Winsorized Mean ( 52 / 64 )1640.182291666679.88984185728128165.845148520661
Winsorized Mean ( 53 / 64 )1637.973958333339.68915444943557169.052311724554
Winsorized Mean ( 54 / 64 )1638.255208333339.66623763696663169.482198747954
Winsorized Mean ( 55 / 64 )1638.541666666679.39798907156718174.350241757988
Winsorized Mean ( 56 / 64 )1640.583333333339.13624374018374179.568691465355
Winsorized Mean ( 57 / 64 )1640.583333333338.98597697197025182.571504295055
Winsorized Mean ( 58 / 64 )1636.052083333338.53263656541053191.740509605851
Winsorized Mean ( 59 / 64 )1636.052083333338.48138469361463192.899171825688
Winsorized Mean ( 60 / 64 )1633.552083333338.16017102274104200.186010658465
Winsorized Mean ( 61 / 64 )1632.916666666678.05295225331572202.77242622348
Winsorized Mean ( 62 / 64 )1632.916666666677.94643640335133205.490434174745
Winsorized Mean ( 63 / 64 )1633.244791666677.86656813129194207.618463910569
Winsorized Mean ( 64 / 64 )1631.244791666677.47792981405108218.141227883892
Trimmed Mean ( 1 / 64 )1668.3578947368420.21570648595382.5278055899808
Trimmed Mean ( 2 / 64 )1667.2021276595719.718155980002484.551624875592
Trimmed Mean ( 3 / 64 )1666.2741935483919.306196833038686.3077388031648
Trimmed Mean ( 4 / 64 )1665.8369565217419.017683425352987.5941048793028
Trimmed Mean ( 5 / 64 )1665.3131868131918.742518106004588.8521583596427
Trimmed Mean ( 6 / 64 )1664.8722222222218.470376622399590.1374268786264
Trimmed Mean ( 7 / 64 )1664.4382022471918.193199379362491.486833488741
Trimmed Mean ( 8 / 64 )1664.0340909090917.924120181141592.8376999312841
Trimmed Mean ( 9 / 64 )1663.4770114942517.672552032573894.127718986378
Trimmed Mean ( 10 / 64 )1662.9302325581417.414564978726895.4907707766193
Trimmed Mean ( 11 / 64 )1662.3294117647117.157412482532496.8869527067141
Trimmed Mean ( 12 / 64 )1661.6785714285716.963019627690397.9588898615707
Trimmed Mean ( 13 / 64 )1661.0120481927716.757809180353599.1186873126652
Trimmed Mean ( 14 / 64 )1660.2621951219516.5500656572981100.317559428523
Trimmed Mean ( 15 / 64 )1659.6049382716016.3696102774403101.383289531259
Trimmed Mean ( 16 / 64 )1658.9516.2128040672572102.323447142025
Trimmed Mean ( 17 / 64 )1658.1265822784816.0719947954135103.168685865408
Trimmed Mean ( 18 / 64 )1657.3269230769215.9292640359292104.042906146746
Trimmed Mean ( 19 / 64 )1656.5129870129915.7815794352336104.964968418478
Trimmed Mean ( 20 / 64 )1655.6710526315815.6222363225182105.981692918386
Trimmed Mean ( 21 / 64 )1654.7866666666715.4539355533308107.078657145688
Trimmed Mean ( 22 / 64 )1653.7770270270315.2880229584387108.174682332890
Trimmed Mean ( 23 / 64 )1652.9178082191815.1408674599479109.169293806424
Trimmed Mean ( 24 / 64 )1652.0208333333314.9843951098948110.249417558566
Trimmed Mean ( 25 / 64 )1651.2394366197214.8399207338052111.270098152088
Trimmed Mean ( 26 / 64 )1650.4714285714314.7085507038778112.211696570233
Trimmed Mean ( 27 / 64 )1649.7028985507214.5709011895179113.219002523845
Trimmed Mean ( 28 / 64 )1648.8970588235314.4311840065653114.259305270682
Trimmed Mean ( 29 / 64 )1648.0820895522414.2854024988713115.368264190137
Trimmed Mean ( 30 / 64 )1647.2424242424214.127710195746116.596561043447
Trimmed Mean ( 31 / 64 )1646.3769230769213.9619905931052117.918495367698
Trimmed Mean ( 32 / 64 )1645.4687513.7869713113669119.349544786778
Trimmed Mean ( 33 / 64 )1644.513.6145615322083120.789787912712
Trimmed Mean ( 34 / 64 )1643.5806451612913.4571475405610122.134400340592
Trimmed Mean ( 35 / 64 )1642.6311475409813.2828962984975123.66513376505
Trimmed Mean ( 36 / 64 )1641.7083333333313.1137204210697125.190127638806
Trimmed Mean ( 37 / 64 )1640.6779661016912.9421364669263126.770257004665
Trimmed Mean ( 38 / 64 )1639.6379310344812.7629429649355128.468640464756
Trimmed Mean ( 39 / 64 )1638.5701754386012.5683658733474130.372571259512
Trimmed Mean ( 40 / 64 )1637.5982142857112.3815199652873132.261484767368
Trimmed Mean ( 41 / 64 )1636.5818181818212.1739366783402134.433245500087
Trimmed Mean ( 42 / 64 )1635.4907407407411.9574755310153136.775587497428
Trimmed Mean ( 43 / 64 )1634.4433962264211.7458951189475139.150177970674
Trimmed Mean ( 44 / 64 )1633.4903846153811.5402176517126141.547623616351
Trimmed Mean ( 45 / 64 )1632.5490196078411.3279729759362144.116606128549
Trimmed Mean ( 46 / 64 )1631.7411.1330486263724146.567221141447
Trimmed Mean ( 47 / 64 )1631.0816326530610.9591429268065148.832955601243
Trimmed Mean ( 48 / 64 )1630.5416666666710.7986650071049150.994744775753
Trimmed Mean ( 49 / 64 )163010.6250439055978153.411130766361
Trimmed Mean ( 50 / 64 )1629.4782608695710.4839818010796155.425514063919
Trimmed Mean ( 51 / 64 )1629.0111111111110.3436036245201157.489707673006
Trimmed Mean ( 52 / 64 )1628.5795454545510.2337074120645159.138763683493
Trimmed Mean ( 53 / 64 )1628.0813953488410.113760791642160.976854099049
Trimmed Mean ( 54 / 64 )1627.654761904769.99502879946467162.846430416683
Trimmed Mean ( 55 / 64 )1627.195121951229.85849045713708165.055200796305
Trimmed Mean ( 56 / 64 )1626.79.72658499660608167.242665392592
Trimmed Mean ( 57 / 64 )1626.089743589749.59761850763653169.426378251638
Trimmed Mean ( 58 / 64 )1625.447368421059.46141554515973171.797482169843
Trimmed Mean ( 59 / 64 )1624.972972972979.35369765096348173.725197628725
Trimmed Mean ( 60 / 64 )1624.472222222229.23006188172444175.997977374202
Trimmed Mean ( 61 / 64 )1624.057142857149.12071983543374178.062386758963
Trimmed Mean ( 62 / 64 )1623.647058823539.00123795763238180.380417278803
Trimmed Mean ( 63 / 64 )1623.212121212128.86920013453002183.016742952112
Trimmed Mean ( 64 / 64 )1622.7343758.7184306403791186.126889337671
Median1631
Midrange1855.5
Midmean - Weighted Average at Xnp1628.79381443299
Midmean - Weighted Average at X(n+1)p1630.54166666667
Midmean - Empirical Distribution Function1628.79381443299
Midmean - Empirical Distribution Function - Averaging1630.54166666667
Midmean - Empirical Distribution Function - Interpolation1630.54166666667
Midmean - Closest Observation1628.79381443299
Midmean - True Basic - Statistics Graphics Toolkit1630.54166666667
Midmean - MS Excel (old versions)1631.08163265306
Number of observations192

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 1670.30729166667 & 20.9008705923746 & 79.9156802720006 \tabularnewline
Geometric Mean & 1646.00694926890 &  &  \tabularnewline
Harmonic Mean & 1622.25780784952 &  &  \tabularnewline
Quadratic Mean & 1695.10002931243 &  &  \tabularnewline
Winsorized Mean ( 1 / 64 ) & 1669.48958333333 & 20.6789704377981 & 80.7336897334962 \tabularnewline
Winsorized Mean ( 2 / 64 ) & 1669 & 20.4620426592893 & 81.5656592936634 \tabularnewline
Winsorized Mean ( 3 / 64 ) & 1667.53125 & 20.0670748961354 & 83.097873438502 \tabularnewline
Winsorized Mean ( 4 / 64 ) & 1667.82291666667 & 19.9547262298519 & 83.5803457013423 \tabularnewline
Winsorized Mean ( 5 / 64 ) & 1667.38020833333 & 19.8643903025996 & 83.9381517848613 \tabularnewline
Winsorized Mean ( 6 / 64 ) & 1667.28645833333 & 19.7974839283951 & 84.217088614073 \tabularnewline
Winsorized Mean ( 7 / 64 ) & 1667.03125 & 19.6485633018301 & 84.8423991307664 \tabularnewline
Winsorized Mean ( 8 / 64 ) & 1668.07291666667 & 19.4283044675612 & 85.8578739823538 \tabularnewline
Winsorized Mean ( 9 / 64 ) & 1667.88541666667 & 19.3514497412718 & 86.189171300664 \tabularnewline
Winsorized Mean ( 10 / 64 ) & 1668.25 & 19.2123052890607 & 86.8323699264703 \tabularnewline
Winsorized Mean ( 11 / 64 ) & 1668.59375 & 18.5938203945168 & 89.7391560527315 \tabularnewline
Winsorized Mean ( 12 / 64 ) & 1668.59375 & 18.5632440917286 & 89.8869692040246 \tabularnewline
Winsorized Mean ( 13 / 64 ) & 1669.33854166667 & 18.4506122546587 & 90.4760513432374 \tabularnewline
Winsorized Mean ( 14 / 64 ) & 1668.02604166667 & 18.0676243808851 & 92.32127071622 \tabularnewline
Winsorized Mean ( 15 / 64 ) & 1667.79166666667 & 17.7125582681979 & 94.1587116560748 \tabularnewline
Winsorized Mean ( 16 / 64 ) & 1669.79166666667 & 17.4239807262422 & 95.8329610725408 \tabularnewline
Winsorized Mean ( 17 / 64 ) & 1669.171875 & 17.3263018066927 & 96.3374581386574 \tabularnewline
Winsorized Mean ( 18 / 64 ) & 1669.078125 & 17.2529620247963 & 96.7415405309053 \tabularnewline
Winsorized Mean ( 19 / 64 ) & 1669.17708333333 & 17.2436914470150 & 96.7992896684705 \tabularnewline
Winsorized Mean ( 20 / 64 ) & 1669.48958333333 & 17.1918868185342 & 97.1091539256466 \tabularnewline
Winsorized Mean ( 21 / 64 ) & 1671.13020833333 & 16.9955367568987 & 98.3275922518304 \tabularnewline
Winsorized Mean ( 22 / 64 ) & 1668.15104166667 & 16.6296736759734 & 100.311712314404 \tabularnewline
Winsorized Mean ( 23 / 64 ) & 1668.390625 & 16.5829724251287 & 100.608659426571 \tabularnewline
Winsorized Mean ( 24 / 64 ) & 1665.890625 & 16.2860141787223 & 102.289645994321 \tabularnewline
Winsorized Mean ( 25 / 64 ) & 1665.23958333333 & 15.9694681857355 & 104.276458299393 \tabularnewline
Winsorized Mean ( 26 / 64 ) & 1664.83333333333 & 15.8953141819711 & 104.737365633303 \tabularnewline
Winsorized Mean ( 27 / 64 ) & 1665.11458333333 & 15.7565876891397 & 105.677359602487 \tabularnewline
Winsorized Mean ( 28 / 64 ) & 1664.82291666667 & 15.6647321876384 & 106.278415534000 \tabularnewline
Winsorized Mean ( 29 / 64 ) & 1664.82291666667 & 15.6344133766142 & 106.484514421046 \tabularnewline
Winsorized Mean ( 30 / 64 ) & 1664.82291666667 & 15.5405755672271 & 107.127494053537 \tabularnewline
Winsorized Mean ( 31 / 64 ) & 1665.14583333333 & 15.4482665597044 & 107.788522867461 \tabularnewline
Winsorized Mean ( 32 / 64 ) & 1665.8125 & 15.1935692847749 & 109.639313105266 \tabularnewline
Winsorized Mean ( 33 / 64 ) & 1664.09375 & 14.8005208909569 & 112.434809711107 \tabularnewline
Winsorized Mean ( 34 / 64 ) & 1664.09375 & 14.8005208909569 & 112.434809711107 \tabularnewline
Winsorized Mean ( 35 / 64 ) & 1662.81770833333 & 14.5195832542902 & 114.522412882754 \tabularnewline
Winsorized Mean ( 36 / 64 ) & 1664.50520833333 & 14.3084934270233 & 116.329871961902 \tabularnewline
Winsorized Mean ( 37 / 64 ) & 1663.92708333333 & 14.1721863725573 & 117.407931252960 \tabularnewline
Winsorized Mean ( 38 / 64 ) & 1663.72916666667 & 14.1131559679284 & 117.88498408488 \tabularnewline
Winsorized Mean ( 39 / 64 ) & 1660.68229166667 & 13.7857575073348 & 120.463622748557 \tabularnewline
Winsorized Mean ( 40 / 64 ) & 1660.890625 & 13.7687131735077 & 120.627875972877 \tabularnewline
Winsorized Mean ( 41 / 64 ) & 1661.74479166667 & 13.5792472508874 & 122.373851875926 \tabularnewline
Winsorized Mean ( 42 / 64 ) & 1659.77604166667 & 13.2485113196437 & 125.280191986982 \tabularnewline
Winsorized Mean ( 43 / 64 ) & 1656.640625 & 12.9213330426200 & 128.209730337861 \tabularnewline
Winsorized Mean ( 44 / 64 ) & 1655.49479166667 & 12.7186955237776 & 130.162310165513 \tabularnewline
Winsorized Mean ( 45 / 64 ) & 1651.51041666667 & 12.2708689585983 & 134.587894487247 \tabularnewline
Winsorized Mean ( 46 / 64 ) & 1647.19791666667 & 11.7992872922710 & 139.601475569261 \tabularnewline
Winsorized Mean ( 47 / 64 ) & 1643.77083333333 & 11.4228670337337 & 143.901774263763 \tabularnewline
Winsorized Mean ( 48 / 64 ) & 1643.27083333333 & 11.3301391298353 & 145.035362276016 \tabularnewline
Winsorized Mean ( 49 / 64 ) & 1642.25 & 10.7337583788451 & 152.998599561983 \tabularnewline
Winsorized Mean ( 50 / 64 ) & 1640.42708333333 & 10.5175295416995 & 155.970760702827 \tabularnewline
Winsorized Mean ( 51 / 64 ) & 1639.09895833333 & 9.9781353461252 & 164.269064457002 \tabularnewline
Winsorized Mean ( 52 / 64 ) & 1640.18229166667 & 9.88984185728128 & 165.845148520661 \tabularnewline
Winsorized Mean ( 53 / 64 ) & 1637.97395833333 & 9.68915444943557 & 169.052311724554 \tabularnewline
Winsorized Mean ( 54 / 64 ) & 1638.25520833333 & 9.66623763696663 & 169.482198747954 \tabularnewline
Winsorized Mean ( 55 / 64 ) & 1638.54166666667 & 9.39798907156718 & 174.350241757988 \tabularnewline
Winsorized Mean ( 56 / 64 ) & 1640.58333333333 & 9.13624374018374 & 179.568691465355 \tabularnewline
Winsorized Mean ( 57 / 64 ) & 1640.58333333333 & 8.98597697197025 & 182.571504295055 \tabularnewline
Winsorized Mean ( 58 / 64 ) & 1636.05208333333 & 8.53263656541053 & 191.740509605851 \tabularnewline
Winsorized Mean ( 59 / 64 ) & 1636.05208333333 & 8.48138469361463 & 192.899171825688 \tabularnewline
Winsorized Mean ( 60 / 64 ) & 1633.55208333333 & 8.16017102274104 & 200.186010658465 \tabularnewline
Winsorized Mean ( 61 / 64 ) & 1632.91666666667 & 8.05295225331572 & 202.77242622348 \tabularnewline
Winsorized Mean ( 62 / 64 ) & 1632.91666666667 & 7.94643640335133 & 205.490434174745 \tabularnewline
Winsorized Mean ( 63 / 64 ) & 1633.24479166667 & 7.86656813129194 & 207.618463910569 \tabularnewline
Winsorized Mean ( 64 / 64 ) & 1631.24479166667 & 7.47792981405108 & 218.141227883892 \tabularnewline
Trimmed Mean ( 1 / 64 ) & 1668.35789473684 & 20.215706485953 & 82.5278055899808 \tabularnewline
Trimmed Mean ( 2 / 64 ) & 1667.20212765957 & 19.7181559800024 & 84.551624875592 \tabularnewline
Trimmed Mean ( 3 / 64 ) & 1666.27419354839 & 19.3061968330386 & 86.3077388031648 \tabularnewline
Trimmed Mean ( 4 / 64 ) & 1665.83695652174 & 19.0176834253529 & 87.5941048793028 \tabularnewline
Trimmed Mean ( 5 / 64 ) & 1665.31318681319 & 18.7425181060045 & 88.8521583596427 \tabularnewline
Trimmed Mean ( 6 / 64 ) & 1664.87222222222 & 18.4703766223995 & 90.1374268786264 \tabularnewline
Trimmed Mean ( 7 / 64 ) & 1664.43820224719 & 18.1931993793624 & 91.486833488741 \tabularnewline
Trimmed Mean ( 8 / 64 ) & 1664.03409090909 & 17.9241201811415 & 92.8376999312841 \tabularnewline
Trimmed Mean ( 9 / 64 ) & 1663.47701149425 & 17.6725520325738 & 94.127718986378 \tabularnewline
Trimmed Mean ( 10 / 64 ) & 1662.93023255814 & 17.4145649787268 & 95.4907707766193 \tabularnewline
Trimmed Mean ( 11 / 64 ) & 1662.32941176471 & 17.1574124825324 & 96.8869527067141 \tabularnewline
Trimmed Mean ( 12 / 64 ) & 1661.67857142857 & 16.9630196276903 & 97.9588898615707 \tabularnewline
Trimmed Mean ( 13 / 64 ) & 1661.01204819277 & 16.7578091803535 & 99.1186873126652 \tabularnewline
Trimmed Mean ( 14 / 64 ) & 1660.26219512195 & 16.5500656572981 & 100.317559428523 \tabularnewline
Trimmed Mean ( 15 / 64 ) & 1659.60493827160 & 16.3696102774403 & 101.383289531259 \tabularnewline
Trimmed Mean ( 16 / 64 ) & 1658.95 & 16.2128040672572 & 102.323447142025 \tabularnewline
Trimmed Mean ( 17 / 64 ) & 1658.12658227848 & 16.0719947954135 & 103.168685865408 \tabularnewline
Trimmed Mean ( 18 / 64 ) & 1657.32692307692 & 15.9292640359292 & 104.042906146746 \tabularnewline
Trimmed Mean ( 19 / 64 ) & 1656.51298701299 & 15.7815794352336 & 104.964968418478 \tabularnewline
Trimmed Mean ( 20 / 64 ) & 1655.67105263158 & 15.6222363225182 & 105.981692918386 \tabularnewline
Trimmed Mean ( 21 / 64 ) & 1654.78666666667 & 15.4539355533308 & 107.078657145688 \tabularnewline
Trimmed Mean ( 22 / 64 ) & 1653.77702702703 & 15.2880229584387 & 108.174682332890 \tabularnewline
Trimmed Mean ( 23 / 64 ) & 1652.91780821918 & 15.1408674599479 & 109.169293806424 \tabularnewline
Trimmed Mean ( 24 / 64 ) & 1652.02083333333 & 14.9843951098948 & 110.249417558566 \tabularnewline
Trimmed Mean ( 25 / 64 ) & 1651.23943661972 & 14.8399207338052 & 111.270098152088 \tabularnewline
Trimmed Mean ( 26 / 64 ) & 1650.47142857143 & 14.7085507038778 & 112.211696570233 \tabularnewline
Trimmed Mean ( 27 / 64 ) & 1649.70289855072 & 14.5709011895179 & 113.219002523845 \tabularnewline
Trimmed Mean ( 28 / 64 ) & 1648.89705882353 & 14.4311840065653 & 114.259305270682 \tabularnewline
Trimmed Mean ( 29 / 64 ) & 1648.08208955224 & 14.2854024988713 & 115.368264190137 \tabularnewline
Trimmed Mean ( 30 / 64 ) & 1647.24242424242 & 14.127710195746 & 116.596561043447 \tabularnewline
Trimmed Mean ( 31 / 64 ) & 1646.37692307692 & 13.9619905931052 & 117.918495367698 \tabularnewline
Trimmed Mean ( 32 / 64 ) & 1645.46875 & 13.7869713113669 & 119.349544786778 \tabularnewline
Trimmed Mean ( 33 / 64 ) & 1644.5 & 13.6145615322083 & 120.789787912712 \tabularnewline
Trimmed Mean ( 34 / 64 ) & 1643.58064516129 & 13.4571475405610 & 122.134400340592 \tabularnewline
Trimmed Mean ( 35 / 64 ) & 1642.63114754098 & 13.2828962984975 & 123.66513376505 \tabularnewline
Trimmed Mean ( 36 / 64 ) & 1641.70833333333 & 13.1137204210697 & 125.190127638806 \tabularnewline
Trimmed Mean ( 37 / 64 ) & 1640.67796610169 & 12.9421364669263 & 126.770257004665 \tabularnewline
Trimmed Mean ( 38 / 64 ) & 1639.63793103448 & 12.7629429649355 & 128.468640464756 \tabularnewline
Trimmed Mean ( 39 / 64 ) & 1638.57017543860 & 12.5683658733474 & 130.372571259512 \tabularnewline
Trimmed Mean ( 40 / 64 ) & 1637.59821428571 & 12.3815199652873 & 132.261484767368 \tabularnewline
Trimmed Mean ( 41 / 64 ) & 1636.58181818182 & 12.1739366783402 & 134.433245500087 \tabularnewline
Trimmed Mean ( 42 / 64 ) & 1635.49074074074 & 11.9574755310153 & 136.775587497428 \tabularnewline
Trimmed Mean ( 43 / 64 ) & 1634.44339622642 & 11.7458951189475 & 139.150177970674 \tabularnewline
Trimmed Mean ( 44 / 64 ) & 1633.49038461538 & 11.5402176517126 & 141.547623616351 \tabularnewline
Trimmed Mean ( 45 / 64 ) & 1632.54901960784 & 11.3279729759362 & 144.116606128549 \tabularnewline
Trimmed Mean ( 46 / 64 ) & 1631.74 & 11.1330486263724 & 146.567221141447 \tabularnewline
Trimmed Mean ( 47 / 64 ) & 1631.08163265306 & 10.9591429268065 & 148.832955601243 \tabularnewline
Trimmed Mean ( 48 / 64 ) & 1630.54166666667 & 10.7986650071049 & 150.994744775753 \tabularnewline
Trimmed Mean ( 49 / 64 ) & 1630 & 10.6250439055978 & 153.411130766361 \tabularnewline
Trimmed Mean ( 50 / 64 ) & 1629.47826086957 & 10.4839818010796 & 155.425514063919 \tabularnewline
Trimmed Mean ( 51 / 64 ) & 1629.01111111111 & 10.3436036245201 & 157.489707673006 \tabularnewline
Trimmed Mean ( 52 / 64 ) & 1628.57954545455 & 10.2337074120645 & 159.138763683493 \tabularnewline
Trimmed Mean ( 53 / 64 ) & 1628.08139534884 & 10.113760791642 & 160.976854099049 \tabularnewline
Trimmed Mean ( 54 / 64 ) & 1627.65476190476 & 9.99502879946467 & 162.846430416683 \tabularnewline
Trimmed Mean ( 55 / 64 ) & 1627.19512195122 & 9.85849045713708 & 165.055200796305 \tabularnewline
Trimmed Mean ( 56 / 64 ) & 1626.7 & 9.72658499660608 & 167.242665392592 \tabularnewline
Trimmed Mean ( 57 / 64 ) & 1626.08974358974 & 9.59761850763653 & 169.426378251638 \tabularnewline
Trimmed Mean ( 58 / 64 ) & 1625.44736842105 & 9.46141554515973 & 171.797482169843 \tabularnewline
Trimmed Mean ( 59 / 64 ) & 1624.97297297297 & 9.35369765096348 & 173.725197628725 \tabularnewline
Trimmed Mean ( 60 / 64 ) & 1624.47222222222 & 9.23006188172444 & 175.997977374202 \tabularnewline
Trimmed Mean ( 61 / 64 ) & 1624.05714285714 & 9.12071983543374 & 178.062386758963 \tabularnewline
Trimmed Mean ( 62 / 64 ) & 1623.64705882353 & 9.00123795763238 & 180.380417278803 \tabularnewline
Trimmed Mean ( 63 / 64 ) & 1623.21212121212 & 8.86920013453002 & 183.016742952112 \tabularnewline
Trimmed Mean ( 64 / 64 ) & 1622.734375 & 8.7184306403791 & 186.126889337671 \tabularnewline
Median & 1631 &  &  \tabularnewline
Midrange & 1855.5 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 1628.79381443299 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 1630.54166666667 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 1628.79381443299 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 1630.54166666667 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 1630.54166666667 &  &  \tabularnewline
Midmean - Closest Observation & 1628.79381443299 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 1630.54166666667 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 1631.08163265306 &  &  \tabularnewline
Number of observations & 192 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101591&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]1670.30729166667[/C][C]20.9008705923746[/C][C]79.9156802720006[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]1646.00694926890[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]1622.25780784952[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]1695.10002931243[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 64 )[/C][C]1669.48958333333[/C][C]20.6789704377981[/C][C]80.7336897334962[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 64 )[/C][C]1669[/C][C]20.4620426592893[/C][C]81.5656592936634[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 64 )[/C][C]1667.53125[/C][C]20.0670748961354[/C][C]83.097873438502[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 64 )[/C][C]1667.82291666667[/C][C]19.9547262298519[/C][C]83.5803457013423[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 64 )[/C][C]1667.38020833333[/C][C]19.8643903025996[/C][C]83.9381517848613[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 64 )[/C][C]1667.28645833333[/C][C]19.7974839283951[/C][C]84.217088614073[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 64 )[/C][C]1667.03125[/C][C]19.6485633018301[/C][C]84.8423991307664[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 64 )[/C][C]1668.07291666667[/C][C]19.4283044675612[/C][C]85.8578739823538[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 64 )[/C][C]1667.88541666667[/C][C]19.3514497412718[/C][C]86.189171300664[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 64 )[/C][C]1668.25[/C][C]19.2123052890607[/C][C]86.8323699264703[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 64 )[/C][C]1668.59375[/C][C]18.5938203945168[/C][C]89.7391560527315[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 64 )[/C][C]1668.59375[/C][C]18.5632440917286[/C][C]89.8869692040246[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 64 )[/C][C]1669.33854166667[/C][C]18.4506122546587[/C][C]90.4760513432374[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 64 )[/C][C]1668.02604166667[/C][C]18.0676243808851[/C][C]92.32127071622[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 64 )[/C][C]1667.79166666667[/C][C]17.7125582681979[/C][C]94.1587116560748[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 64 )[/C][C]1669.79166666667[/C][C]17.4239807262422[/C][C]95.8329610725408[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 64 )[/C][C]1669.171875[/C][C]17.3263018066927[/C][C]96.3374581386574[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 64 )[/C][C]1669.078125[/C][C]17.2529620247963[/C][C]96.7415405309053[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 64 )[/C][C]1669.17708333333[/C][C]17.2436914470150[/C][C]96.7992896684705[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 64 )[/C][C]1669.48958333333[/C][C]17.1918868185342[/C][C]97.1091539256466[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 64 )[/C][C]1671.13020833333[/C][C]16.9955367568987[/C][C]98.3275922518304[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 64 )[/C][C]1668.15104166667[/C][C]16.6296736759734[/C][C]100.311712314404[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 64 )[/C][C]1668.390625[/C][C]16.5829724251287[/C][C]100.608659426571[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 64 )[/C][C]1665.890625[/C][C]16.2860141787223[/C][C]102.289645994321[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 64 )[/C][C]1665.23958333333[/C][C]15.9694681857355[/C][C]104.276458299393[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 64 )[/C][C]1664.83333333333[/C][C]15.8953141819711[/C][C]104.737365633303[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 64 )[/C][C]1665.11458333333[/C][C]15.7565876891397[/C][C]105.677359602487[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 64 )[/C][C]1664.82291666667[/C][C]15.6647321876384[/C][C]106.278415534000[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 64 )[/C][C]1664.82291666667[/C][C]15.6344133766142[/C][C]106.484514421046[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 64 )[/C][C]1664.82291666667[/C][C]15.5405755672271[/C][C]107.127494053537[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 64 )[/C][C]1665.14583333333[/C][C]15.4482665597044[/C][C]107.788522867461[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 64 )[/C][C]1665.8125[/C][C]15.1935692847749[/C][C]109.639313105266[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 64 )[/C][C]1664.09375[/C][C]14.8005208909569[/C][C]112.434809711107[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 64 )[/C][C]1664.09375[/C][C]14.8005208909569[/C][C]112.434809711107[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 64 )[/C][C]1662.81770833333[/C][C]14.5195832542902[/C][C]114.522412882754[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 64 )[/C][C]1664.50520833333[/C][C]14.3084934270233[/C][C]116.329871961902[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 64 )[/C][C]1663.92708333333[/C][C]14.1721863725573[/C][C]117.407931252960[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 64 )[/C][C]1663.72916666667[/C][C]14.1131559679284[/C][C]117.88498408488[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 64 )[/C][C]1660.68229166667[/C][C]13.7857575073348[/C][C]120.463622748557[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 64 )[/C][C]1660.890625[/C][C]13.7687131735077[/C][C]120.627875972877[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 64 )[/C][C]1661.74479166667[/C][C]13.5792472508874[/C][C]122.373851875926[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 64 )[/C][C]1659.77604166667[/C][C]13.2485113196437[/C][C]125.280191986982[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 64 )[/C][C]1656.640625[/C][C]12.9213330426200[/C][C]128.209730337861[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 64 )[/C][C]1655.49479166667[/C][C]12.7186955237776[/C][C]130.162310165513[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 64 )[/C][C]1651.51041666667[/C][C]12.2708689585983[/C][C]134.587894487247[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 64 )[/C][C]1647.19791666667[/C][C]11.7992872922710[/C][C]139.601475569261[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 64 )[/C][C]1643.77083333333[/C][C]11.4228670337337[/C][C]143.901774263763[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 64 )[/C][C]1643.27083333333[/C][C]11.3301391298353[/C][C]145.035362276016[/C][/ROW]
[ROW][C]Winsorized Mean ( 49 / 64 )[/C][C]1642.25[/C][C]10.7337583788451[/C][C]152.998599561983[/C][/ROW]
[ROW][C]Winsorized Mean ( 50 / 64 )[/C][C]1640.42708333333[/C][C]10.5175295416995[/C][C]155.970760702827[/C][/ROW]
[ROW][C]Winsorized Mean ( 51 / 64 )[/C][C]1639.09895833333[/C][C]9.9781353461252[/C][C]164.269064457002[/C][/ROW]
[ROW][C]Winsorized Mean ( 52 / 64 )[/C][C]1640.18229166667[/C][C]9.88984185728128[/C][C]165.845148520661[/C][/ROW]
[ROW][C]Winsorized Mean ( 53 / 64 )[/C][C]1637.97395833333[/C][C]9.68915444943557[/C][C]169.052311724554[/C][/ROW]
[ROW][C]Winsorized Mean ( 54 / 64 )[/C][C]1638.25520833333[/C][C]9.66623763696663[/C][C]169.482198747954[/C][/ROW]
[ROW][C]Winsorized Mean ( 55 / 64 )[/C][C]1638.54166666667[/C][C]9.39798907156718[/C][C]174.350241757988[/C][/ROW]
[ROW][C]Winsorized Mean ( 56 / 64 )[/C][C]1640.58333333333[/C][C]9.13624374018374[/C][C]179.568691465355[/C][/ROW]
[ROW][C]Winsorized Mean ( 57 / 64 )[/C][C]1640.58333333333[/C][C]8.98597697197025[/C][C]182.571504295055[/C][/ROW]
[ROW][C]Winsorized Mean ( 58 / 64 )[/C][C]1636.05208333333[/C][C]8.53263656541053[/C][C]191.740509605851[/C][/ROW]
[ROW][C]Winsorized Mean ( 59 / 64 )[/C][C]1636.05208333333[/C][C]8.48138469361463[/C][C]192.899171825688[/C][/ROW]
[ROW][C]Winsorized Mean ( 60 / 64 )[/C][C]1633.55208333333[/C][C]8.16017102274104[/C][C]200.186010658465[/C][/ROW]
[ROW][C]Winsorized Mean ( 61 / 64 )[/C][C]1632.91666666667[/C][C]8.05295225331572[/C][C]202.77242622348[/C][/ROW]
[ROW][C]Winsorized Mean ( 62 / 64 )[/C][C]1632.91666666667[/C][C]7.94643640335133[/C][C]205.490434174745[/C][/ROW]
[ROW][C]Winsorized Mean ( 63 / 64 )[/C][C]1633.24479166667[/C][C]7.86656813129194[/C][C]207.618463910569[/C][/ROW]
[ROW][C]Winsorized Mean ( 64 / 64 )[/C][C]1631.24479166667[/C][C]7.47792981405108[/C][C]218.141227883892[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 64 )[/C][C]1668.35789473684[/C][C]20.215706485953[/C][C]82.5278055899808[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 64 )[/C][C]1667.20212765957[/C][C]19.7181559800024[/C][C]84.551624875592[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 64 )[/C][C]1666.27419354839[/C][C]19.3061968330386[/C][C]86.3077388031648[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 64 )[/C][C]1665.83695652174[/C][C]19.0176834253529[/C][C]87.5941048793028[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 64 )[/C][C]1665.31318681319[/C][C]18.7425181060045[/C][C]88.8521583596427[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 64 )[/C][C]1664.87222222222[/C][C]18.4703766223995[/C][C]90.1374268786264[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 64 )[/C][C]1664.43820224719[/C][C]18.1931993793624[/C][C]91.486833488741[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 64 )[/C][C]1664.03409090909[/C][C]17.9241201811415[/C][C]92.8376999312841[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 64 )[/C][C]1663.47701149425[/C][C]17.6725520325738[/C][C]94.127718986378[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 64 )[/C][C]1662.93023255814[/C][C]17.4145649787268[/C][C]95.4907707766193[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 64 )[/C][C]1662.32941176471[/C][C]17.1574124825324[/C][C]96.8869527067141[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 64 )[/C][C]1661.67857142857[/C][C]16.9630196276903[/C][C]97.9588898615707[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 64 )[/C][C]1661.01204819277[/C][C]16.7578091803535[/C][C]99.1186873126652[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 64 )[/C][C]1660.26219512195[/C][C]16.5500656572981[/C][C]100.317559428523[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 64 )[/C][C]1659.60493827160[/C][C]16.3696102774403[/C][C]101.383289531259[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 64 )[/C][C]1658.95[/C][C]16.2128040672572[/C][C]102.323447142025[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 64 )[/C][C]1658.12658227848[/C][C]16.0719947954135[/C][C]103.168685865408[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 64 )[/C][C]1657.32692307692[/C][C]15.9292640359292[/C][C]104.042906146746[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 64 )[/C][C]1656.51298701299[/C][C]15.7815794352336[/C][C]104.964968418478[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 64 )[/C][C]1655.67105263158[/C][C]15.6222363225182[/C][C]105.981692918386[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 64 )[/C][C]1654.78666666667[/C][C]15.4539355533308[/C][C]107.078657145688[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 64 )[/C][C]1653.77702702703[/C][C]15.2880229584387[/C][C]108.174682332890[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 64 )[/C][C]1652.91780821918[/C][C]15.1408674599479[/C][C]109.169293806424[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 64 )[/C][C]1652.02083333333[/C][C]14.9843951098948[/C][C]110.249417558566[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 64 )[/C][C]1651.23943661972[/C][C]14.8399207338052[/C][C]111.270098152088[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 64 )[/C][C]1650.47142857143[/C][C]14.7085507038778[/C][C]112.211696570233[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 64 )[/C][C]1649.70289855072[/C][C]14.5709011895179[/C][C]113.219002523845[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 64 )[/C][C]1648.89705882353[/C][C]14.4311840065653[/C][C]114.259305270682[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 64 )[/C][C]1648.08208955224[/C][C]14.2854024988713[/C][C]115.368264190137[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 64 )[/C][C]1647.24242424242[/C][C]14.127710195746[/C][C]116.596561043447[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 64 )[/C][C]1646.37692307692[/C][C]13.9619905931052[/C][C]117.918495367698[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 64 )[/C][C]1645.46875[/C][C]13.7869713113669[/C][C]119.349544786778[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 64 )[/C][C]1644.5[/C][C]13.6145615322083[/C][C]120.789787912712[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 64 )[/C][C]1643.58064516129[/C][C]13.4571475405610[/C][C]122.134400340592[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 64 )[/C][C]1642.63114754098[/C][C]13.2828962984975[/C][C]123.66513376505[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 64 )[/C][C]1641.70833333333[/C][C]13.1137204210697[/C][C]125.190127638806[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 64 )[/C][C]1640.67796610169[/C][C]12.9421364669263[/C][C]126.770257004665[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 64 )[/C][C]1639.63793103448[/C][C]12.7629429649355[/C][C]128.468640464756[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 64 )[/C][C]1638.57017543860[/C][C]12.5683658733474[/C][C]130.372571259512[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 64 )[/C][C]1637.59821428571[/C][C]12.3815199652873[/C][C]132.261484767368[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 64 )[/C][C]1636.58181818182[/C][C]12.1739366783402[/C][C]134.433245500087[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 64 )[/C][C]1635.49074074074[/C][C]11.9574755310153[/C][C]136.775587497428[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 64 )[/C][C]1634.44339622642[/C][C]11.7458951189475[/C][C]139.150177970674[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 64 )[/C][C]1633.49038461538[/C][C]11.5402176517126[/C][C]141.547623616351[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 64 )[/C][C]1632.54901960784[/C][C]11.3279729759362[/C][C]144.116606128549[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 64 )[/C][C]1631.74[/C][C]11.1330486263724[/C][C]146.567221141447[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 64 )[/C][C]1631.08163265306[/C][C]10.9591429268065[/C][C]148.832955601243[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 64 )[/C][C]1630.54166666667[/C][C]10.7986650071049[/C][C]150.994744775753[/C][/ROW]
[ROW][C]Trimmed Mean ( 49 / 64 )[/C][C]1630[/C][C]10.6250439055978[/C][C]153.411130766361[/C][/ROW]
[ROW][C]Trimmed Mean ( 50 / 64 )[/C][C]1629.47826086957[/C][C]10.4839818010796[/C][C]155.425514063919[/C][/ROW]
[ROW][C]Trimmed Mean ( 51 / 64 )[/C][C]1629.01111111111[/C][C]10.3436036245201[/C][C]157.489707673006[/C][/ROW]
[ROW][C]Trimmed Mean ( 52 / 64 )[/C][C]1628.57954545455[/C][C]10.2337074120645[/C][C]159.138763683493[/C][/ROW]
[ROW][C]Trimmed Mean ( 53 / 64 )[/C][C]1628.08139534884[/C][C]10.113760791642[/C][C]160.976854099049[/C][/ROW]
[ROW][C]Trimmed Mean ( 54 / 64 )[/C][C]1627.65476190476[/C][C]9.99502879946467[/C][C]162.846430416683[/C][/ROW]
[ROW][C]Trimmed Mean ( 55 / 64 )[/C][C]1627.19512195122[/C][C]9.85849045713708[/C][C]165.055200796305[/C][/ROW]
[ROW][C]Trimmed Mean ( 56 / 64 )[/C][C]1626.7[/C][C]9.72658499660608[/C][C]167.242665392592[/C][/ROW]
[ROW][C]Trimmed Mean ( 57 / 64 )[/C][C]1626.08974358974[/C][C]9.59761850763653[/C][C]169.426378251638[/C][/ROW]
[ROW][C]Trimmed Mean ( 58 / 64 )[/C][C]1625.44736842105[/C][C]9.46141554515973[/C][C]171.797482169843[/C][/ROW]
[ROW][C]Trimmed Mean ( 59 / 64 )[/C][C]1624.97297297297[/C][C]9.35369765096348[/C][C]173.725197628725[/C][/ROW]
[ROW][C]Trimmed Mean ( 60 / 64 )[/C][C]1624.47222222222[/C][C]9.23006188172444[/C][C]175.997977374202[/C][/ROW]
[ROW][C]Trimmed Mean ( 61 / 64 )[/C][C]1624.05714285714[/C][C]9.12071983543374[/C][C]178.062386758963[/C][/ROW]
[ROW][C]Trimmed Mean ( 62 / 64 )[/C][C]1623.64705882353[/C][C]9.00123795763238[/C][C]180.380417278803[/C][/ROW]
[ROW][C]Trimmed Mean ( 63 / 64 )[/C][C]1623.21212121212[/C][C]8.86920013453002[/C][C]183.016742952112[/C][/ROW]
[ROW][C]Trimmed Mean ( 64 / 64 )[/C][C]1622.734375[/C][C]8.7184306403791[/C][C]186.126889337671[/C][/ROW]
[ROW][C]Median[/C][C]1631[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]1855.5[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]1628.79381443299[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]1630.54166666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]1628.79381443299[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]1630.54166666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]1630.54166666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]1628.79381443299[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]1630.54166666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]1631.08163265306[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]192[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101591&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101591&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 Mean1670.3072916666720.900870592374679.9156802720006
Geometric Mean1646.00694926890
Harmonic Mean1622.25780784952
Quadratic Mean1695.10002931243
Winsorized Mean ( 1 / 64 )1669.4895833333320.678970437798180.7336897334962
Winsorized Mean ( 2 / 64 )166920.462042659289381.5656592936634
Winsorized Mean ( 3 / 64 )1667.5312520.067074896135483.097873438502
Winsorized Mean ( 4 / 64 )1667.8229166666719.954726229851983.5803457013423
Winsorized Mean ( 5 / 64 )1667.3802083333319.864390302599683.9381517848613
Winsorized Mean ( 6 / 64 )1667.2864583333319.797483928395184.217088614073
Winsorized Mean ( 7 / 64 )1667.0312519.648563301830184.8423991307664
Winsorized Mean ( 8 / 64 )1668.0729166666719.428304467561285.8578739823538
Winsorized Mean ( 9 / 64 )1667.8854166666719.351449741271886.189171300664
Winsorized Mean ( 10 / 64 )1668.2519.212305289060786.8323699264703
Winsorized Mean ( 11 / 64 )1668.5937518.593820394516889.7391560527315
Winsorized Mean ( 12 / 64 )1668.5937518.563244091728689.8869692040246
Winsorized Mean ( 13 / 64 )1669.3385416666718.450612254658790.4760513432374
Winsorized Mean ( 14 / 64 )1668.0260416666718.067624380885192.32127071622
Winsorized Mean ( 15 / 64 )1667.7916666666717.712558268197994.1587116560748
Winsorized Mean ( 16 / 64 )1669.7916666666717.423980726242295.8329610725408
Winsorized Mean ( 17 / 64 )1669.17187517.326301806692796.3374581386574
Winsorized Mean ( 18 / 64 )1669.07812517.252962024796396.7415405309053
Winsorized Mean ( 19 / 64 )1669.1770833333317.243691447015096.7992896684705
Winsorized Mean ( 20 / 64 )1669.4895833333317.191886818534297.1091539256466
Winsorized Mean ( 21 / 64 )1671.1302083333316.995536756898798.3275922518304
Winsorized Mean ( 22 / 64 )1668.1510416666716.6296736759734100.311712314404
Winsorized Mean ( 23 / 64 )1668.39062516.5829724251287100.608659426571
Winsorized Mean ( 24 / 64 )1665.89062516.2860141787223102.289645994321
Winsorized Mean ( 25 / 64 )1665.2395833333315.9694681857355104.276458299393
Winsorized Mean ( 26 / 64 )1664.8333333333315.8953141819711104.737365633303
Winsorized Mean ( 27 / 64 )1665.1145833333315.7565876891397105.677359602487
Winsorized Mean ( 28 / 64 )1664.8229166666715.6647321876384106.278415534000
Winsorized Mean ( 29 / 64 )1664.8229166666715.6344133766142106.484514421046
Winsorized Mean ( 30 / 64 )1664.8229166666715.5405755672271107.127494053537
Winsorized Mean ( 31 / 64 )1665.1458333333315.4482665597044107.788522867461
Winsorized Mean ( 32 / 64 )1665.812515.1935692847749109.639313105266
Winsorized Mean ( 33 / 64 )1664.0937514.8005208909569112.434809711107
Winsorized Mean ( 34 / 64 )1664.0937514.8005208909569112.434809711107
Winsorized Mean ( 35 / 64 )1662.8177083333314.5195832542902114.522412882754
Winsorized Mean ( 36 / 64 )1664.5052083333314.3084934270233116.329871961902
Winsorized Mean ( 37 / 64 )1663.9270833333314.1721863725573117.407931252960
Winsorized Mean ( 38 / 64 )1663.7291666666714.1131559679284117.88498408488
Winsorized Mean ( 39 / 64 )1660.6822916666713.7857575073348120.463622748557
Winsorized Mean ( 40 / 64 )1660.89062513.7687131735077120.627875972877
Winsorized Mean ( 41 / 64 )1661.7447916666713.5792472508874122.373851875926
Winsorized Mean ( 42 / 64 )1659.7760416666713.2485113196437125.280191986982
Winsorized Mean ( 43 / 64 )1656.64062512.9213330426200128.209730337861
Winsorized Mean ( 44 / 64 )1655.4947916666712.7186955237776130.162310165513
Winsorized Mean ( 45 / 64 )1651.5104166666712.2708689585983134.587894487247
Winsorized Mean ( 46 / 64 )1647.1979166666711.7992872922710139.601475569261
Winsorized Mean ( 47 / 64 )1643.7708333333311.4228670337337143.901774263763
Winsorized Mean ( 48 / 64 )1643.2708333333311.3301391298353145.035362276016
Winsorized Mean ( 49 / 64 )1642.2510.7337583788451152.998599561983
Winsorized Mean ( 50 / 64 )1640.4270833333310.5175295416995155.970760702827
Winsorized Mean ( 51 / 64 )1639.098958333339.9781353461252164.269064457002
Winsorized Mean ( 52 / 64 )1640.182291666679.88984185728128165.845148520661
Winsorized Mean ( 53 / 64 )1637.973958333339.68915444943557169.052311724554
Winsorized Mean ( 54 / 64 )1638.255208333339.66623763696663169.482198747954
Winsorized Mean ( 55 / 64 )1638.541666666679.39798907156718174.350241757988
Winsorized Mean ( 56 / 64 )1640.583333333339.13624374018374179.568691465355
Winsorized Mean ( 57 / 64 )1640.583333333338.98597697197025182.571504295055
Winsorized Mean ( 58 / 64 )1636.052083333338.53263656541053191.740509605851
Winsorized Mean ( 59 / 64 )1636.052083333338.48138469361463192.899171825688
Winsorized Mean ( 60 / 64 )1633.552083333338.16017102274104200.186010658465
Winsorized Mean ( 61 / 64 )1632.916666666678.05295225331572202.77242622348
Winsorized Mean ( 62 / 64 )1632.916666666677.94643640335133205.490434174745
Winsorized Mean ( 63 / 64 )1633.244791666677.86656813129194207.618463910569
Winsorized Mean ( 64 / 64 )1631.244791666677.47792981405108218.141227883892
Trimmed Mean ( 1 / 64 )1668.3578947368420.21570648595382.5278055899808
Trimmed Mean ( 2 / 64 )1667.2021276595719.718155980002484.551624875592
Trimmed Mean ( 3 / 64 )1666.2741935483919.306196833038686.3077388031648
Trimmed Mean ( 4 / 64 )1665.8369565217419.017683425352987.5941048793028
Trimmed Mean ( 5 / 64 )1665.3131868131918.742518106004588.8521583596427
Trimmed Mean ( 6 / 64 )1664.8722222222218.470376622399590.1374268786264
Trimmed Mean ( 7 / 64 )1664.4382022471918.193199379362491.486833488741
Trimmed Mean ( 8 / 64 )1664.0340909090917.924120181141592.8376999312841
Trimmed Mean ( 9 / 64 )1663.4770114942517.672552032573894.127718986378
Trimmed Mean ( 10 / 64 )1662.9302325581417.414564978726895.4907707766193
Trimmed Mean ( 11 / 64 )1662.3294117647117.157412482532496.8869527067141
Trimmed Mean ( 12 / 64 )1661.6785714285716.963019627690397.9588898615707
Trimmed Mean ( 13 / 64 )1661.0120481927716.757809180353599.1186873126652
Trimmed Mean ( 14 / 64 )1660.2621951219516.5500656572981100.317559428523
Trimmed Mean ( 15 / 64 )1659.6049382716016.3696102774403101.383289531259
Trimmed Mean ( 16 / 64 )1658.9516.2128040672572102.323447142025
Trimmed Mean ( 17 / 64 )1658.1265822784816.0719947954135103.168685865408
Trimmed Mean ( 18 / 64 )1657.3269230769215.9292640359292104.042906146746
Trimmed Mean ( 19 / 64 )1656.5129870129915.7815794352336104.964968418478
Trimmed Mean ( 20 / 64 )1655.6710526315815.6222363225182105.981692918386
Trimmed Mean ( 21 / 64 )1654.7866666666715.4539355533308107.078657145688
Trimmed Mean ( 22 / 64 )1653.7770270270315.2880229584387108.174682332890
Trimmed Mean ( 23 / 64 )1652.9178082191815.1408674599479109.169293806424
Trimmed Mean ( 24 / 64 )1652.0208333333314.9843951098948110.249417558566
Trimmed Mean ( 25 / 64 )1651.2394366197214.8399207338052111.270098152088
Trimmed Mean ( 26 / 64 )1650.4714285714314.7085507038778112.211696570233
Trimmed Mean ( 27 / 64 )1649.7028985507214.5709011895179113.219002523845
Trimmed Mean ( 28 / 64 )1648.8970588235314.4311840065653114.259305270682
Trimmed Mean ( 29 / 64 )1648.0820895522414.2854024988713115.368264190137
Trimmed Mean ( 30 / 64 )1647.2424242424214.127710195746116.596561043447
Trimmed Mean ( 31 / 64 )1646.3769230769213.9619905931052117.918495367698
Trimmed Mean ( 32 / 64 )1645.4687513.7869713113669119.349544786778
Trimmed Mean ( 33 / 64 )1644.513.6145615322083120.789787912712
Trimmed Mean ( 34 / 64 )1643.5806451612913.4571475405610122.134400340592
Trimmed Mean ( 35 / 64 )1642.6311475409813.2828962984975123.66513376505
Trimmed Mean ( 36 / 64 )1641.7083333333313.1137204210697125.190127638806
Trimmed Mean ( 37 / 64 )1640.6779661016912.9421364669263126.770257004665
Trimmed Mean ( 38 / 64 )1639.6379310344812.7629429649355128.468640464756
Trimmed Mean ( 39 / 64 )1638.5701754386012.5683658733474130.372571259512
Trimmed Mean ( 40 / 64 )1637.5982142857112.3815199652873132.261484767368
Trimmed Mean ( 41 / 64 )1636.5818181818212.1739366783402134.433245500087
Trimmed Mean ( 42 / 64 )1635.4907407407411.9574755310153136.775587497428
Trimmed Mean ( 43 / 64 )1634.4433962264211.7458951189475139.150177970674
Trimmed Mean ( 44 / 64 )1633.4903846153811.5402176517126141.547623616351
Trimmed Mean ( 45 / 64 )1632.5490196078411.3279729759362144.116606128549
Trimmed Mean ( 46 / 64 )1631.7411.1330486263724146.567221141447
Trimmed Mean ( 47 / 64 )1631.0816326530610.9591429268065148.832955601243
Trimmed Mean ( 48 / 64 )1630.5416666666710.7986650071049150.994744775753
Trimmed Mean ( 49 / 64 )163010.6250439055978153.411130766361
Trimmed Mean ( 50 / 64 )1629.4782608695710.4839818010796155.425514063919
Trimmed Mean ( 51 / 64 )1629.0111111111110.3436036245201157.489707673006
Trimmed Mean ( 52 / 64 )1628.5795454545510.2337074120645159.138763683493
Trimmed Mean ( 53 / 64 )1628.0813953488410.113760791642160.976854099049
Trimmed Mean ( 54 / 64 )1627.654761904769.99502879946467162.846430416683
Trimmed Mean ( 55 / 64 )1627.195121951229.85849045713708165.055200796305
Trimmed Mean ( 56 / 64 )1626.79.72658499660608167.242665392592
Trimmed Mean ( 57 / 64 )1626.089743589749.59761850763653169.426378251638
Trimmed Mean ( 58 / 64 )1625.447368421059.46141554515973171.797482169843
Trimmed Mean ( 59 / 64 )1624.972972972979.35369765096348173.725197628725
Trimmed Mean ( 60 / 64 )1624.472222222229.23006188172444175.997977374202
Trimmed Mean ( 61 / 64 )1624.057142857149.12071983543374178.062386758963
Trimmed Mean ( 62 / 64 )1623.647058823539.00123795763238180.380417278803
Trimmed Mean ( 63 / 64 )1623.212121212128.86920013453002183.016742952112
Trimmed Mean ( 64 / 64 )1622.7343758.7184306403791186.126889337671
Median1631
Midrange1855.5
Midmean - Weighted Average at Xnp1628.79381443299
Midmean - Weighted Average at X(n+1)p1630.54166666667
Midmean - Empirical Distribution Function1628.79381443299
Midmean - Empirical Distribution Function - Averaging1630.54166666667
Midmean - Empirical Distribution Function - Interpolation1630.54166666667
Midmean - Closest Observation1628.79381443299
Midmean - True Basic - Statistics Graphics Toolkit1630.54166666667
Midmean - MS Excel (old versions)1631.08163265306
Number of observations192



Parameters (Session):
par1 = 5 ; par2 = 6 ; par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 5 ; par2 = 6 ; par3 = Pearson Chi-Squared ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')