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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationMon, 15 Dec 2014 20:16:53 +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/2014/Dec/15/t141867462426of3312qyyyvm3.htm/, Retrieved Thu, 16 May 2024 19:59:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268991, Retrieved Thu, 16 May 2024 19:59:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact93
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi-squared test] [2014-11-02 11:21:00] [5c51c91cab622bcf955f01721b682696]
- R  D  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:26:49] [e493208d2907342b139e6792bbaea494]
-    D    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:30:24] [e493208d2907342b139e6792bbaea494]
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:36:06] [e493208d2907342b139e6792bbaea494]
-    D        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:38:19] [e493208d2907342b139e6792bbaea494]
-    D          [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:39:21] [e493208d2907342b139e6792bbaea494]
-    D            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:40:38] [e493208d2907342b139e6792bbaea494]
-    D              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:43:34] [e493208d2907342b139e6792bbaea494]
-    D                [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:53:25] [e493208d2907342b139e6792bbaea494]
-    D                  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:54:41] [e493208d2907342b139e6792bbaea494]
-    D                    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:55:52] [e493208d2907342b139e6792bbaea494]
-    D                      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:56:38] [e493208d2907342b139e6792bbaea494]
-    D                        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:59:28] [e493208d2907342b139e6792bbaea494]
-    D                          [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:00:52] [e493208d2907342b139e6792bbaea494]
-    D                            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:02:37] [e493208d2907342b139e6792bbaea494]
-    D                              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:03:31] [e493208d2907342b139e6792bbaea494]
-    D                                [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:04:30] [e493208d2907342b139e6792bbaea494]
-    D                                  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:05:26] [e493208d2907342b139e6792bbaea494]
-    D                                    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:06:29] [e493208d2907342b139e6792bbaea494]
-    D                                      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:07:30] [e493208d2907342b139e6792bbaea494]
-    D                                        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:08:04] [e493208d2907342b139e6792bbaea494]
- RM D                                            [Central Tendency] [] [2014-12-15 20:16:53] [04df4205f362f56e0d1a9032a00a5d3d] [Current]
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Dataseries X:
-0.539685
-3.19195
-0.782864
1.67038
-0.755397
0.923036
-5.08534
0.513608
-0.982043
-4.60061
0.566494
-5.51804
-0.663069
1.70279
-1.71671
0.640893
-1.94866
1.5503
0.916021
-2.34386
-1.12093
2.8624
-1.55872
-4.21349
-1.68715
-0.335882
-0.515967
-1.3331
-2.20916
2.70034
2.33195
-4.9096
-7.30626e-05
-2.87016
-4.25057
-0.716235
-3.40595
0.318292
2.65243
-4.37078
-0.22945
-1.1648
-1.62354
-2.04886
2.22802
-2.45776
2.01017
-4.76986
-3.65599
-1.07543
0.664361
0.966183
-0.761499
2.55179
-0.588179
0.763718
2.50467
0.490903
-2.68103
-0.90429
4.07746
-1.5322
2.14871
0.593118
0.579584
3.56768
-1.55426
-2.65675
-0.535291
2.95538
0.454126
2.42363
0.635352
-1.8831
-0.0435361
-0.191168
-1.76286
0.555852
3.81313
-0.736573
1.23723
-0.0502184
0.617001
2.43904
-0.947381
2.55541
1.87594
0.0452758
-0.568167
2.92813
1.36562
1.95685
-0.218102
2.97844
3.06371
0.593013
0.527724
0.513215
2.95635
-2.02406
1.59933
1.21801
-1.07056
-2.96222
2.31367
2.69785
1.6286
1.47224
-0.805625
-3.63501
1.9615
2.14871
0.13235
-0.694098
0.990194
1.6798
0.588915
-1.84197
0.0669247
-5.2352
0.593118
1.59684
-2.81012
1.9615
0.843302
0.760847
1.30963
0.987735
3.55809
1.62595
3.82708
0.308981
0.380668
-0.0372417
1.5173
1.02234
-0.394811




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.wessa.net

\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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268991&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268991&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268991&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'George Udny Yule' @ yule.wessa.net







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean-7.85591240777207e-080.183892739305756-4.27200793105277e-07
Geometric MeanNaN
Harmonic Mean-0.00999691175094794
Quadratic Mean2.14453943340638
Winsorized Mean ( 1 / 45 )0.0002368557474452640.1831586165404450.00129317283521281
Winsorized Mean ( 2 / 45 )0.002220943338686130.1826734326313850.0121579986027183
Winsorized Mean ( 3 / 45 )0.0006944469883211920.1810941721790520.00383472852806426
Winsorized Mean ( 4 / 45 )0.004494446988321170.1802495484334780.0249345811258987
Winsorized Mean ( 5 / 45 )-0.007371611405839380.176594275480694-0.0417432070534206
Winsorized Mean ( 6 / 45 )-0.001040516515328430.174229825606711-0.00597209181438999
Winsorized Mean ( 7 / 45 )0.003972914141605870.1729662032334990.0229693088437777
Winsorized Mean ( 8 / 45 )0.006081527280291970.172568633135010.0352412090761248
Winsorized Mean ( 9 / 45 )0.04091546888613140.1660459041349590.246410588079764
Winsorized Mean ( 10 / 45 )0.03764904552846720.1651870234504110.227917694393043
Winsorized Mean ( 11 / 45 )0.04302860757226280.1606211806929320.267888751574569
Winsorized Mean ( 12 / 45 )0.06155503092992710.1576923857342830.390348783445062
Winsorized Mean ( 13 / 45 )0.07904430100291970.1539246993584720.513525778074351
Winsorized Mean ( 14 / 45 )0.07853743968905110.1513614907598740.518873323028021
Winsorized Mean ( 15 / 45 )0.08471481195182480.1503776526508990.563347082883982
Winsorized Mean ( 16 / 45 )0.09428795063795620.1476059508598710.638781499585122
Winsorized Mean ( 17 / 45 )0.08915692874014590.1462195342131410.609747043853825
Winsorized Mean ( 18 / 45 )0.1132769287401460.1424382089730840.795270661972107
Winsorized Mean ( 19 / 45 )0.1163585345795620.1388565117536070.837976794246664
Winsorized Mean ( 20 / 45 )0.1333541550175180.1360163474995540.980427407947825
Winsorized Mean ( 21 / 45 )0.1447968557474450.1314127086825261.10184819412903
Winsorized Mean ( 22 / 45 )0.1360434250905110.1294536351498211.0509046341809
Winsorized Mean ( 23 / 45 )0.1487018192510950.1279139319922191.16251464508292
Winsorized Mean ( 24 / 45 )0.1359170017328470.123786002865181.09799976238735
Winsorized Mean ( 25 / 45 )0.1345410893240880.1219047453563851.10365752318141
Winsorized Mean ( 26 / 45 )0.1495546659664230.1201309830184051.24493001063274
Winsorized Mean ( 27 / 45 )0.1577334980832120.1189700257341081.32582553554909
Winsorized Mean ( 28 / 45 )0.1472386075722630.1164481051469681.2644139411838
Winsorized Mean ( 29 / 45 )0.124051308302190.1109691939605651.11788960408484
Winsorized Mean ( 30 / 45 )0.1332111623167880.1088094341285311.2242611441158
Winsorized Mean ( 31 / 45 )0.1320888265503650.1084715389805291.21772796617254
Winsorized Mean ( 32 / 45 )0.1274826951635040.1068700417638711.19287588045653
Winsorized Mean ( 33 / 45 )0.1748027681562040.1014413474148031.72319051955628
Winsorized Mean ( 34 / 45 )0.2099642280102190.09626551278329862.18109499383092
Winsorized Mean ( 35 / 45 )0.2205357608569340.09502773334348622.32075156480675
Winsorized Mean ( 36 / 45 )0.2202624761854010.09249360686875812.38138054771654
Winsorized Mean ( 37 / 45 )0.212665322900730.09141920022228192.32626540577519
Winsorized Mean ( 38 / 45 )0.2247190893240880.08759799242806922.56534519907651
Winsorized Mean ( 39 / 45 )0.2042346951635040.08345474262145192.44725091406615
Winsorized Mean ( 40 / 45 )0.2004685637766420.0805172890491212.48975799041549
Winsorized Mean ( 41 / 45 )0.2083288922437960.07538170657981252.76365316860028
Winsorized Mean ( 42 / 45 )0.2094144542875910.07410257328012822.82600785664955
Winsorized Mean ( 43 / 45 )0.1547055856744530.06745238342378982.29355254509642
Winsorized Mean ( 44 / 45 )0.1463410893240880.06628500629675812.20775553175508
Winsorized Mean ( 45 / 45 )0.1517164542875910.0655922559112032.313023880334
Trimmed Mean ( 1 / 45 )0.010670883240.1795178031821040.0594419219199969
Trimmed Mean ( 2 / 45 )0.02141871607067670.1755245440970790.122026900459177
Trimmed Mean ( 3 / 45 )0.03145724608702290.1714179036932290.183512021844107
Trimmed Mean ( 4 / 45 )0.04234743594883720.1675383516045740.252762639379348
Trimmed Mean ( 5 / 45 )0.05255582076692910.1635337234718940.321376041902218
Trimmed Mean ( 6 / 45 )0.06569191389920.1600817079059280.410364899016469
Trimmed Mean ( 7 / 45 )0.0780799124991870.1568167859474970.497905323256202
Trimmed Mean ( 8 / 45 )0.09006652262314050.1534679641130180.586875072877185
Trimmed Mean ( 9 / 45 )0.1021525986336130.1498309063691570.68178589524065
Trimmed Mean ( 10 / 45 )0.110119822541880.1469595246618360.749320758863867
Trimmed Mean ( 11 / 45 )0.1187532977165220.1439092040246810.825195987437713
Trimmed Mean ( 12 / 45 )0.1270994622778760.1412229458122950.899991581019766
Trimmed Mean ( 13 / 45 )0.1338408940306310.1386669790930380.965196580368504
Trimmed Mean ( 14 / 45 )0.1391388003431190.1363473125018371.0204733616678
Trimmed Mean ( 15 / 45 )0.1446811143682240.1340966657328921.07893148258
Trimmed Mean ( 16 / 45 )0.1498972308323810.1317058441684841.13812133226697
Trimmed Mean ( 17 / 45 )0.1545200896834950.1293799384360591.19431259244153
Trimmed Mean ( 18 / 45 )0.1597354379940590.1269351927963231.25840150769193
Trimmed Mean ( 19 / 45 )0.1633071640141410.1246553368673011.3100695735794
Trimmed Mean ( 20 / 45 )0.1667971055402060.1225134301362681.36145976285769
Trimmed Mean ( 21 / 45 )0.1692085182884210.12042945453071.40504263635343
Trimmed Mean ( 22 / 45 )0.1709209595419350.1186033972563271.44111352200594
Trimmed Mean ( 23 / 45 )0.1733076839274730.11674520603631.4844950795974
Trimmed Mean ( 24 / 45 )0.1749544858134830.1148009428406871.52398126256047
Trimmed Mean ( 25 / 45 )0.1775158533034480.1130461803016811.57029501421208
Trimmed Mean ( 26 / 45 )0.1802864616164710.1112408915327091.62068515572315
Trimmed Mean ( 27 / 45 )0.1822374606915660.1093655271481261.6663153869751
Trimmed Mean ( 28 / 45 )0.1837724597209880.1073314706296021.71219548789359
Trimmed Mean ( 29 / 45 )0.1860351802202530.105269859721531.76722169776203
Trimmed Mean ( 30 / 45 )0.1898380420441560.1035176600289721.83387107080111
Trimmed Mean ( 31 / 45 )0.1932859898320.101724896684251.9000853884566
Trimmed Mean ( 32 / 45 )0.1969908114712330.09965162145560351.97679484381492
Trimmed Mean ( 33 / 45 )0.2011821019352110.09740451590318032.06542889792898
Trimmed Mean ( 34 / 45 )0.2027692643101450.09547455222114322.1238042975104
Trimmed Mean ( 35 / 45 )0.202336555782090.0938506978576982.15594087631489
Trimmed Mean ( 36 / 45 )0.2012406036523080.09205586987170132.1860703063561
Trimmed Mean ( 37 / 45 )0.2000915751968250.09023364699008892.21748296640169
Trimmed Mean ( 38 / 45 )0.1993283481540980.08817124539724782.26069561857771
Trimmed Mean ( 39 / 45 )0.1977768175830510.08621763811735612.29392525591857
Trimmed Mean ( 40 / 45 )0.1973788287263160.08444518777884922.33736029154467
Trimmed Mean ( 41 / 45 )0.1971864224981820.08269724983031732.38443748616525
Trimmed Mean ( 42 / 45 )0.1964839290075470.08131715219183612.41626672493424
Trimmed Mean ( 43 / 45 )0.1956569066156860.07975777059697732.45313911298194
Trimmed Mean ( 44 / 45 )0.1983196170897960.07884535649723742.51529862886402
Trimmed Mean ( 45 / 45 )0.2017630688808510.07779400241589332.59355557774504
Median0.380668
Midrange-0.72029
Midmean - Weighted Average at Xnp0.182231606432353
Midmean - Weighted Average at X(n+1)p0.202769264310145
Midmean - Empirical Distribution Function0.202769264310145
Midmean - Empirical Distribution Function - Averaging0.202769264310145
Midmean - Empirical Distribution Function - Interpolation0.202769264310145
Midmean - Closest Observation0.18082827482
Midmean - True Basic - Statistics Graphics Toolkit0.202769264310145
Midmean - MS Excel (old versions)0.202769264310145
Number of observations137

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & -7.85591240777207e-08 & 0.183892739305756 & -4.27200793105277e-07 \tabularnewline
Geometric Mean & NaN &  &  \tabularnewline
Harmonic Mean & -0.00999691175094794 &  &  \tabularnewline
Quadratic Mean & 2.14453943340638 &  &  \tabularnewline
Winsorized Mean ( 1 / 45 ) & 0.000236855747445264 & 0.183158616540445 & 0.00129317283521281 \tabularnewline
Winsorized Mean ( 2 / 45 ) & 0.00222094333868613 & 0.182673432631385 & 0.0121579986027183 \tabularnewline
Winsorized Mean ( 3 / 45 ) & 0.000694446988321192 & 0.181094172179052 & 0.00383472852806426 \tabularnewline
Winsorized Mean ( 4 / 45 ) & 0.00449444698832117 & 0.180249548433478 & 0.0249345811258987 \tabularnewline
Winsorized Mean ( 5 / 45 ) & -0.00737161140583938 & 0.176594275480694 & -0.0417432070534206 \tabularnewline
Winsorized Mean ( 6 / 45 ) & -0.00104051651532843 & 0.174229825606711 & -0.00597209181438999 \tabularnewline
Winsorized Mean ( 7 / 45 ) & 0.00397291414160587 & 0.172966203233499 & 0.0229693088437777 \tabularnewline
Winsorized Mean ( 8 / 45 ) & 0.00608152728029197 & 0.17256863313501 & 0.0352412090761248 \tabularnewline
Winsorized Mean ( 9 / 45 ) & 0.0409154688861314 & 0.166045904134959 & 0.246410588079764 \tabularnewline
Winsorized Mean ( 10 / 45 ) & 0.0376490455284672 & 0.165187023450411 & 0.227917694393043 \tabularnewline
Winsorized Mean ( 11 / 45 ) & 0.0430286075722628 & 0.160621180692932 & 0.267888751574569 \tabularnewline
Winsorized Mean ( 12 / 45 ) & 0.0615550309299271 & 0.157692385734283 & 0.390348783445062 \tabularnewline
Winsorized Mean ( 13 / 45 ) & 0.0790443010029197 & 0.153924699358472 & 0.513525778074351 \tabularnewline
Winsorized Mean ( 14 / 45 ) & 0.0785374396890511 & 0.151361490759874 & 0.518873323028021 \tabularnewline
Winsorized Mean ( 15 / 45 ) & 0.0847148119518248 & 0.150377652650899 & 0.563347082883982 \tabularnewline
Winsorized Mean ( 16 / 45 ) & 0.0942879506379562 & 0.147605950859871 & 0.638781499585122 \tabularnewline
Winsorized Mean ( 17 / 45 ) & 0.0891569287401459 & 0.146219534213141 & 0.609747043853825 \tabularnewline
Winsorized Mean ( 18 / 45 ) & 0.113276928740146 & 0.142438208973084 & 0.795270661972107 \tabularnewline
Winsorized Mean ( 19 / 45 ) & 0.116358534579562 & 0.138856511753607 & 0.837976794246664 \tabularnewline
Winsorized Mean ( 20 / 45 ) & 0.133354155017518 & 0.136016347499554 & 0.980427407947825 \tabularnewline
Winsorized Mean ( 21 / 45 ) & 0.144796855747445 & 0.131412708682526 & 1.10184819412903 \tabularnewline
Winsorized Mean ( 22 / 45 ) & 0.136043425090511 & 0.129453635149821 & 1.0509046341809 \tabularnewline
Winsorized Mean ( 23 / 45 ) & 0.148701819251095 & 0.127913931992219 & 1.16251464508292 \tabularnewline
Winsorized Mean ( 24 / 45 ) & 0.135917001732847 & 0.12378600286518 & 1.09799976238735 \tabularnewline
Winsorized Mean ( 25 / 45 ) & 0.134541089324088 & 0.121904745356385 & 1.10365752318141 \tabularnewline
Winsorized Mean ( 26 / 45 ) & 0.149554665966423 & 0.120130983018405 & 1.24493001063274 \tabularnewline
Winsorized Mean ( 27 / 45 ) & 0.157733498083212 & 0.118970025734108 & 1.32582553554909 \tabularnewline
Winsorized Mean ( 28 / 45 ) & 0.147238607572263 & 0.116448105146968 & 1.2644139411838 \tabularnewline
Winsorized Mean ( 29 / 45 ) & 0.12405130830219 & 0.110969193960565 & 1.11788960408484 \tabularnewline
Winsorized Mean ( 30 / 45 ) & 0.133211162316788 & 0.108809434128531 & 1.2242611441158 \tabularnewline
Winsorized Mean ( 31 / 45 ) & 0.132088826550365 & 0.108471538980529 & 1.21772796617254 \tabularnewline
Winsorized Mean ( 32 / 45 ) & 0.127482695163504 & 0.106870041763871 & 1.19287588045653 \tabularnewline
Winsorized Mean ( 33 / 45 ) & 0.174802768156204 & 0.101441347414803 & 1.72319051955628 \tabularnewline
Winsorized Mean ( 34 / 45 ) & 0.209964228010219 & 0.0962655127832986 & 2.18109499383092 \tabularnewline
Winsorized Mean ( 35 / 45 ) & 0.220535760856934 & 0.0950277333434862 & 2.32075156480675 \tabularnewline
Winsorized Mean ( 36 / 45 ) & 0.220262476185401 & 0.0924936068687581 & 2.38138054771654 \tabularnewline
Winsorized Mean ( 37 / 45 ) & 0.21266532290073 & 0.0914192002222819 & 2.32626540577519 \tabularnewline
Winsorized Mean ( 38 / 45 ) & 0.224719089324088 & 0.0875979924280692 & 2.56534519907651 \tabularnewline
Winsorized Mean ( 39 / 45 ) & 0.204234695163504 & 0.0834547426214519 & 2.44725091406615 \tabularnewline
Winsorized Mean ( 40 / 45 ) & 0.200468563776642 & 0.080517289049121 & 2.48975799041549 \tabularnewline
Winsorized Mean ( 41 / 45 ) & 0.208328892243796 & 0.0753817065798125 & 2.76365316860028 \tabularnewline
Winsorized Mean ( 42 / 45 ) & 0.209414454287591 & 0.0741025732801282 & 2.82600785664955 \tabularnewline
Winsorized Mean ( 43 / 45 ) & 0.154705585674453 & 0.0674523834237898 & 2.29355254509642 \tabularnewline
Winsorized Mean ( 44 / 45 ) & 0.146341089324088 & 0.0662850062967581 & 2.20775553175508 \tabularnewline
Winsorized Mean ( 45 / 45 ) & 0.151716454287591 & 0.065592255911203 & 2.313023880334 \tabularnewline
Trimmed Mean ( 1 / 45 ) & 0.01067088324 & 0.179517803182104 & 0.0594419219199969 \tabularnewline
Trimmed Mean ( 2 / 45 ) & 0.0214187160706767 & 0.175524544097079 & 0.122026900459177 \tabularnewline
Trimmed Mean ( 3 / 45 ) & 0.0314572460870229 & 0.171417903693229 & 0.183512021844107 \tabularnewline
Trimmed Mean ( 4 / 45 ) & 0.0423474359488372 & 0.167538351604574 & 0.252762639379348 \tabularnewline
Trimmed Mean ( 5 / 45 ) & 0.0525558207669291 & 0.163533723471894 & 0.321376041902218 \tabularnewline
Trimmed Mean ( 6 / 45 ) & 0.0656919138992 & 0.160081707905928 & 0.410364899016469 \tabularnewline
Trimmed Mean ( 7 / 45 ) & 0.078079912499187 & 0.156816785947497 & 0.497905323256202 \tabularnewline
Trimmed Mean ( 8 / 45 ) & 0.0900665226231405 & 0.153467964113018 & 0.586875072877185 \tabularnewline
Trimmed Mean ( 9 / 45 ) & 0.102152598633613 & 0.149830906369157 & 0.68178589524065 \tabularnewline
Trimmed Mean ( 10 / 45 ) & 0.11011982254188 & 0.146959524661836 & 0.749320758863867 \tabularnewline
Trimmed Mean ( 11 / 45 ) & 0.118753297716522 & 0.143909204024681 & 0.825195987437713 \tabularnewline
Trimmed Mean ( 12 / 45 ) & 0.127099462277876 & 0.141222945812295 & 0.899991581019766 \tabularnewline
Trimmed Mean ( 13 / 45 ) & 0.133840894030631 & 0.138666979093038 & 0.965196580368504 \tabularnewline
Trimmed Mean ( 14 / 45 ) & 0.139138800343119 & 0.136347312501837 & 1.0204733616678 \tabularnewline
Trimmed Mean ( 15 / 45 ) & 0.144681114368224 & 0.134096665732892 & 1.07893148258 \tabularnewline
Trimmed Mean ( 16 / 45 ) & 0.149897230832381 & 0.131705844168484 & 1.13812133226697 \tabularnewline
Trimmed Mean ( 17 / 45 ) & 0.154520089683495 & 0.129379938436059 & 1.19431259244153 \tabularnewline
Trimmed Mean ( 18 / 45 ) & 0.159735437994059 & 0.126935192796323 & 1.25840150769193 \tabularnewline
Trimmed Mean ( 19 / 45 ) & 0.163307164014141 & 0.124655336867301 & 1.3100695735794 \tabularnewline
Trimmed Mean ( 20 / 45 ) & 0.166797105540206 & 0.122513430136268 & 1.36145976285769 \tabularnewline
Trimmed Mean ( 21 / 45 ) & 0.169208518288421 & 0.1204294545307 & 1.40504263635343 \tabularnewline
Trimmed Mean ( 22 / 45 ) & 0.170920959541935 & 0.118603397256327 & 1.44111352200594 \tabularnewline
Trimmed Mean ( 23 / 45 ) & 0.173307683927473 & 0.1167452060363 & 1.4844950795974 \tabularnewline
Trimmed Mean ( 24 / 45 ) & 0.174954485813483 & 0.114800942840687 & 1.52398126256047 \tabularnewline
Trimmed Mean ( 25 / 45 ) & 0.177515853303448 & 0.113046180301681 & 1.57029501421208 \tabularnewline
Trimmed Mean ( 26 / 45 ) & 0.180286461616471 & 0.111240891532709 & 1.62068515572315 \tabularnewline
Trimmed Mean ( 27 / 45 ) & 0.182237460691566 & 0.109365527148126 & 1.6663153869751 \tabularnewline
Trimmed Mean ( 28 / 45 ) & 0.183772459720988 & 0.107331470629602 & 1.71219548789359 \tabularnewline
Trimmed Mean ( 29 / 45 ) & 0.186035180220253 & 0.10526985972153 & 1.76722169776203 \tabularnewline
Trimmed Mean ( 30 / 45 ) & 0.189838042044156 & 0.103517660028972 & 1.83387107080111 \tabularnewline
Trimmed Mean ( 31 / 45 ) & 0.193285989832 & 0.10172489668425 & 1.9000853884566 \tabularnewline
Trimmed Mean ( 32 / 45 ) & 0.196990811471233 & 0.0996516214556035 & 1.97679484381492 \tabularnewline
Trimmed Mean ( 33 / 45 ) & 0.201182101935211 & 0.0974045159031803 & 2.06542889792898 \tabularnewline
Trimmed Mean ( 34 / 45 ) & 0.202769264310145 & 0.0954745522211432 & 2.1238042975104 \tabularnewline
Trimmed Mean ( 35 / 45 ) & 0.20233655578209 & 0.093850697857698 & 2.15594087631489 \tabularnewline
Trimmed Mean ( 36 / 45 ) & 0.201240603652308 & 0.0920558698717013 & 2.1860703063561 \tabularnewline
Trimmed Mean ( 37 / 45 ) & 0.200091575196825 & 0.0902336469900889 & 2.21748296640169 \tabularnewline
Trimmed Mean ( 38 / 45 ) & 0.199328348154098 & 0.0881712453972478 & 2.26069561857771 \tabularnewline
Trimmed Mean ( 39 / 45 ) & 0.197776817583051 & 0.0862176381173561 & 2.29392525591857 \tabularnewline
Trimmed Mean ( 40 / 45 ) & 0.197378828726316 & 0.0844451877788492 & 2.33736029154467 \tabularnewline
Trimmed Mean ( 41 / 45 ) & 0.197186422498182 & 0.0826972498303173 & 2.38443748616525 \tabularnewline
Trimmed Mean ( 42 / 45 ) & 0.196483929007547 & 0.0813171521918361 & 2.41626672493424 \tabularnewline
Trimmed Mean ( 43 / 45 ) & 0.195656906615686 & 0.0797577705969773 & 2.45313911298194 \tabularnewline
Trimmed Mean ( 44 / 45 ) & 0.198319617089796 & 0.0788453564972374 & 2.51529862886402 \tabularnewline
Trimmed Mean ( 45 / 45 ) & 0.201763068880851 & 0.0777940024158933 & 2.59355557774504 \tabularnewline
Median & 0.380668 &  &  \tabularnewline
Midrange & -0.72029 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 0.182231606432353 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 0.202769264310145 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 0.202769264310145 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 0.202769264310145 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 0.202769264310145 &  &  \tabularnewline
Midmean - Closest Observation & 0.18082827482 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 0.202769264310145 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 0.202769264310145 &  &  \tabularnewline
Number of observations & 137 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268991&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]-7.85591240777207e-08[/C][C]0.183892739305756[/C][C]-4.27200793105277e-07[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]NaN[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]-0.00999691175094794[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]2.14453943340638[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 45 )[/C][C]0.000236855747445264[/C][C]0.183158616540445[/C][C]0.00129317283521281[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 45 )[/C][C]0.00222094333868613[/C][C]0.182673432631385[/C][C]0.0121579986027183[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 45 )[/C][C]0.000694446988321192[/C][C]0.181094172179052[/C][C]0.00383472852806426[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 45 )[/C][C]0.00449444698832117[/C][C]0.180249548433478[/C][C]0.0249345811258987[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 45 )[/C][C]-0.00737161140583938[/C][C]0.176594275480694[/C][C]-0.0417432070534206[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 45 )[/C][C]-0.00104051651532843[/C][C]0.174229825606711[/C][C]-0.00597209181438999[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 45 )[/C][C]0.00397291414160587[/C][C]0.172966203233499[/C][C]0.0229693088437777[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 45 )[/C][C]0.00608152728029197[/C][C]0.17256863313501[/C][C]0.0352412090761248[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 45 )[/C][C]0.0409154688861314[/C][C]0.166045904134959[/C][C]0.246410588079764[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 45 )[/C][C]0.0376490455284672[/C][C]0.165187023450411[/C][C]0.227917694393043[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 45 )[/C][C]0.0430286075722628[/C][C]0.160621180692932[/C][C]0.267888751574569[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 45 )[/C][C]0.0615550309299271[/C][C]0.157692385734283[/C][C]0.390348783445062[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 45 )[/C][C]0.0790443010029197[/C][C]0.153924699358472[/C][C]0.513525778074351[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 45 )[/C][C]0.0785374396890511[/C][C]0.151361490759874[/C][C]0.518873323028021[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 45 )[/C][C]0.0847148119518248[/C][C]0.150377652650899[/C][C]0.563347082883982[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 45 )[/C][C]0.0942879506379562[/C][C]0.147605950859871[/C][C]0.638781499585122[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 45 )[/C][C]0.0891569287401459[/C][C]0.146219534213141[/C][C]0.609747043853825[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 45 )[/C][C]0.113276928740146[/C][C]0.142438208973084[/C][C]0.795270661972107[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 45 )[/C][C]0.116358534579562[/C][C]0.138856511753607[/C][C]0.837976794246664[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 45 )[/C][C]0.133354155017518[/C][C]0.136016347499554[/C][C]0.980427407947825[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 45 )[/C][C]0.144796855747445[/C][C]0.131412708682526[/C][C]1.10184819412903[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 45 )[/C][C]0.136043425090511[/C][C]0.129453635149821[/C][C]1.0509046341809[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 45 )[/C][C]0.148701819251095[/C][C]0.127913931992219[/C][C]1.16251464508292[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 45 )[/C][C]0.135917001732847[/C][C]0.12378600286518[/C][C]1.09799976238735[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 45 )[/C][C]0.134541089324088[/C][C]0.121904745356385[/C][C]1.10365752318141[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 45 )[/C][C]0.149554665966423[/C][C]0.120130983018405[/C][C]1.24493001063274[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 45 )[/C][C]0.157733498083212[/C][C]0.118970025734108[/C][C]1.32582553554909[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 45 )[/C][C]0.147238607572263[/C][C]0.116448105146968[/C][C]1.2644139411838[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 45 )[/C][C]0.12405130830219[/C][C]0.110969193960565[/C][C]1.11788960408484[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 45 )[/C][C]0.133211162316788[/C][C]0.108809434128531[/C][C]1.2242611441158[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 45 )[/C][C]0.132088826550365[/C][C]0.108471538980529[/C][C]1.21772796617254[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 45 )[/C][C]0.127482695163504[/C][C]0.106870041763871[/C][C]1.19287588045653[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 45 )[/C][C]0.174802768156204[/C][C]0.101441347414803[/C][C]1.72319051955628[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 45 )[/C][C]0.209964228010219[/C][C]0.0962655127832986[/C][C]2.18109499383092[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 45 )[/C][C]0.220535760856934[/C][C]0.0950277333434862[/C][C]2.32075156480675[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 45 )[/C][C]0.220262476185401[/C][C]0.0924936068687581[/C][C]2.38138054771654[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 45 )[/C][C]0.21266532290073[/C][C]0.0914192002222819[/C][C]2.32626540577519[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 45 )[/C][C]0.224719089324088[/C][C]0.0875979924280692[/C][C]2.56534519907651[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 45 )[/C][C]0.204234695163504[/C][C]0.0834547426214519[/C][C]2.44725091406615[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 45 )[/C][C]0.200468563776642[/C][C]0.080517289049121[/C][C]2.48975799041549[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 45 )[/C][C]0.208328892243796[/C][C]0.0753817065798125[/C][C]2.76365316860028[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 45 )[/C][C]0.209414454287591[/C][C]0.0741025732801282[/C][C]2.82600785664955[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 45 )[/C][C]0.154705585674453[/C][C]0.0674523834237898[/C][C]2.29355254509642[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 45 )[/C][C]0.146341089324088[/C][C]0.0662850062967581[/C][C]2.20775553175508[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 45 )[/C][C]0.151716454287591[/C][C]0.065592255911203[/C][C]2.313023880334[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 45 )[/C][C]0.01067088324[/C][C]0.179517803182104[/C][C]0.0594419219199969[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 45 )[/C][C]0.0214187160706767[/C][C]0.175524544097079[/C][C]0.122026900459177[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 45 )[/C][C]0.0314572460870229[/C][C]0.171417903693229[/C][C]0.183512021844107[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 45 )[/C][C]0.0423474359488372[/C][C]0.167538351604574[/C][C]0.252762639379348[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 45 )[/C][C]0.0525558207669291[/C][C]0.163533723471894[/C][C]0.321376041902218[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 45 )[/C][C]0.0656919138992[/C][C]0.160081707905928[/C][C]0.410364899016469[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 45 )[/C][C]0.078079912499187[/C][C]0.156816785947497[/C][C]0.497905323256202[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 45 )[/C][C]0.0900665226231405[/C][C]0.153467964113018[/C][C]0.586875072877185[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 45 )[/C][C]0.102152598633613[/C][C]0.149830906369157[/C][C]0.68178589524065[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 45 )[/C][C]0.11011982254188[/C][C]0.146959524661836[/C][C]0.749320758863867[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 45 )[/C][C]0.118753297716522[/C][C]0.143909204024681[/C][C]0.825195987437713[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 45 )[/C][C]0.127099462277876[/C][C]0.141222945812295[/C][C]0.899991581019766[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 45 )[/C][C]0.133840894030631[/C][C]0.138666979093038[/C][C]0.965196580368504[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 45 )[/C][C]0.139138800343119[/C][C]0.136347312501837[/C][C]1.0204733616678[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 45 )[/C][C]0.144681114368224[/C][C]0.134096665732892[/C][C]1.07893148258[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 45 )[/C][C]0.149897230832381[/C][C]0.131705844168484[/C][C]1.13812133226697[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 45 )[/C][C]0.154520089683495[/C][C]0.129379938436059[/C][C]1.19431259244153[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 45 )[/C][C]0.159735437994059[/C][C]0.126935192796323[/C][C]1.25840150769193[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 45 )[/C][C]0.163307164014141[/C][C]0.124655336867301[/C][C]1.3100695735794[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 45 )[/C][C]0.166797105540206[/C][C]0.122513430136268[/C][C]1.36145976285769[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 45 )[/C][C]0.169208518288421[/C][C]0.1204294545307[/C][C]1.40504263635343[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 45 )[/C][C]0.170920959541935[/C][C]0.118603397256327[/C][C]1.44111352200594[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 45 )[/C][C]0.173307683927473[/C][C]0.1167452060363[/C][C]1.4844950795974[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 45 )[/C][C]0.174954485813483[/C][C]0.114800942840687[/C][C]1.52398126256047[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 45 )[/C][C]0.177515853303448[/C][C]0.113046180301681[/C][C]1.57029501421208[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 45 )[/C][C]0.180286461616471[/C][C]0.111240891532709[/C][C]1.62068515572315[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 45 )[/C][C]0.182237460691566[/C][C]0.109365527148126[/C][C]1.6663153869751[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 45 )[/C][C]0.183772459720988[/C][C]0.107331470629602[/C][C]1.71219548789359[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 45 )[/C][C]0.186035180220253[/C][C]0.10526985972153[/C][C]1.76722169776203[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 45 )[/C][C]0.189838042044156[/C][C]0.103517660028972[/C][C]1.83387107080111[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 45 )[/C][C]0.193285989832[/C][C]0.10172489668425[/C][C]1.9000853884566[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 45 )[/C][C]0.196990811471233[/C][C]0.0996516214556035[/C][C]1.97679484381492[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 45 )[/C][C]0.201182101935211[/C][C]0.0974045159031803[/C][C]2.06542889792898[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 45 )[/C][C]0.202769264310145[/C][C]0.0954745522211432[/C][C]2.1238042975104[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 45 )[/C][C]0.20233655578209[/C][C]0.093850697857698[/C][C]2.15594087631489[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 45 )[/C][C]0.201240603652308[/C][C]0.0920558698717013[/C][C]2.1860703063561[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 45 )[/C][C]0.200091575196825[/C][C]0.0902336469900889[/C][C]2.21748296640169[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 45 )[/C][C]0.199328348154098[/C][C]0.0881712453972478[/C][C]2.26069561857771[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 45 )[/C][C]0.197776817583051[/C][C]0.0862176381173561[/C][C]2.29392525591857[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 45 )[/C][C]0.197378828726316[/C][C]0.0844451877788492[/C][C]2.33736029154467[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 45 )[/C][C]0.197186422498182[/C][C]0.0826972498303173[/C][C]2.38443748616525[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 45 )[/C][C]0.196483929007547[/C][C]0.0813171521918361[/C][C]2.41626672493424[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 45 )[/C][C]0.195656906615686[/C][C]0.0797577705969773[/C][C]2.45313911298194[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 45 )[/C][C]0.198319617089796[/C][C]0.0788453564972374[/C][C]2.51529862886402[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 45 )[/C][C]0.201763068880851[/C][C]0.0777940024158933[/C][C]2.59355557774504[/C][/ROW]
[ROW][C]Median[/C][C]0.380668[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]-0.72029[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]0.182231606432353[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]0.202769264310145[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]0.202769264310145[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]0.202769264310145[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]0.202769264310145[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]0.18082827482[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]0.202769264310145[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]0.202769264310145[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]137[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268991&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268991&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 Mean-7.85591240777207e-080.183892739305756-4.27200793105277e-07
Geometric MeanNaN
Harmonic Mean-0.00999691175094794
Quadratic Mean2.14453943340638
Winsorized Mean ( 1 / 45 )0.0002368557474452640.1831586165404450.00129317283521281
Winsorized Mean ( 2 / 45 )0.002220943338686130.1826734326313850.0121579986027183
Winsorized Mean ( 3 / 45 )0.0006944469883211920.1810941721790520.00383472852806426
Winsorized Mean ( 4 / 45 )0.004494446988321170.1802495484334780.0249345811258987
Winsorized Mean ( 5 / 45 )-0.007371611405839380.176594275480694-0.0417432070534206
Winsorized Mean ( 6 / 45 )-0.001040516515328430.174229825606711-0.00597209181438999
Winsorized Mean ( 7 / 45 )0.003972914141605870.1729662032334990.0229693088437777
Winsorized Mean ( 8 / 45 )0.006081527280291970.172568633135010.0352412090761248
Winsorized Mean ( 9 / 45 )0.04091546888613140.1660459041349590.246410588079764
Winsorized Mean ( 10 / 45 )0.03764904552846720.1651870234504110.227917694393043
Winsorized Mean ( 11 / 45 )0.04302860757226280.1606211806929320.267888751574569
Winsorized Mean ( 12 / 45 )0.06155503092992710.1576923857342830.390348783445062
Winsorized Mean ( 13 / 45 )0.07904430100291970.1539246993584720.513525778074351
Winsorized Mean ( 14 / 45 )0.07853743968905110.1513614907598740.518873323028021
Winsorized Mean ( 15 / 45 )0.08471481195182480.1503776526508990.563347082883982
Winsorized Mean ( 16 / 45 )0.09428795063795620.1476059508598710.638781499585122
Winsorized Mean ( 17 / 45 )0.08915692874014590.1462195342131410.609747043853825
Winsorized Mean ( 18 / 45 )0.1132769287401460.1424382089730840.795270661972107
Winsorized Mean ( 19 / 45 )0.1163585345795620.1388565117536070.837976794246664
Winsorized Mean ( 20 / 45 )0.1333541550175180.1360163474995540.980427407947825
Winsorized Mean ( 21 / 45 )0.1447968557474450.1314127086825261.10184819412903
Winsorized Mean ( 22 / 45 )0.1360434250905110.1294536351498211.0509046341809
Winsorized Mean ( 23 / 45 )0.1487018192510950.1279139319922191.16251464508292
Winsorized Mean ( 24 / 45 )0.1359170017328470.123786002865181.09799976238735
Winsorized Mean ( 25 / 45 )0.1345410893240880.1219047453563851.10365752318141
Winsorized Mean ( 26 / 45 )0.1495546659664230.1201309830184051.24493001063274
Winsorized Mean ( 27 / 45 )0.1577334980832120.1189700257341081.32582553554909
Winsorized Mean ( 28 / 45 )0.1472386075722630.1164481051469681.2644139411838
Winsorized Mean ( 29 / 45 )0.124051308302190.1109691939605651.11788960408484
Winsorized Mean ( 30 / 45 )0.1332111623167880.1088094341285311.2242611441158
Winsorized Mean ( 31 / 45 )0.1320888265503650.1084715389805291.21772796617254
Winsorized Mean ( 32 / 45 )0.1274826951635040.1068700417638711.19287588045653
Winsorized Mean ( 33 / 45 )0.1748027681562040.1014413474148031.72319051955628
Winsorized Mean ( 34 / 45 )0.2099642280102190.09626551278329862.18109499383092
Winsorized Mean ( 35 / 45 )0.2205357608569340.09502773334348622.32075156480675
Winsorized Mean ( 36 / 45 )0.2202624761854010.09249360686875812.38138054771654
Winsorized Mean ( 37 / 45 )0.212665322900730.09141920022228192.32626540577519
Winsorized Mean ( 38 / 45 )0.2247190893240880.08759799242806922.56534519907651
Winsorized Mean ( 39 / 45 )0.2042346951635040.08345474262145192.44725091406615
Winsorized Mean ( 40 / 45 )0.2004685637766420.0805172890491212.48975799041549
Winsorized Mean ( 41 / 45 )0.2083288922437960.07538170657981252.76365316860028
Winsorized Mean ( 42 / 45 )0.2094144542875910.07410257328012822.82600785664955
Winsorized Mean ( 43 / 45 )0.1547055856744530.06745238342378982.29355254509642
Winsorized Mean ( 44 / 45 )0.1463410893240880.06628500629675812.20775553175508
Winsorized Mean ( 45 / 45 )0.1517164542875910.0655922559112032.313023880334
Trimmed Mean ( 1 / 45 )0.010670883240.1795178031821040.0594419219199969
Trimmed Mean ( 2 / 45 )0.02141871607067670.1755245440970790.122026900459177
Trimmed Mean ( 3 / 45 )0.03145724608702290.1714179036932290.183512021844107
Trimmed Mean ( 4 / 45 )0.04234743594883720.1675383516045740.252762639379348
Trimmed Mean ( 5 / 45 )0.05255582076692910.1635337234718940.321376041902218
Trimmed Mean ( 6 / 45 )0.06569191389920.1600817079059280.410364899016469
Trimmed Mean ( 7 / 45 )0.0780799124991870.1568167859474970.497905323256202
Trimmed Mean ( 8 / 45 )0.09006652262314050.1534679641130180.586875072877185
Trimmed Mean ( 9 / 45 )0.1021525986336130.1498309063691570.68178589524065
Trimmed Mean ( 10 / 45 )0.110119822541880.1469595246618360.749320758863867
Trimmed Mean ( 11 / 45 )0.1187532977165220.1439092040246810.825195987437713
Trimmed Mean ( 12 / 45 )0.1270994622778760.1412229458122950.899991581019766
Trimmed Mean ( 13 / 45 )0.1338408940306310.1386669790930380.965196580368504
Trimmed Mean ( 14 / 45 )0.1391388003431190.1363473125018371.0204733616678
Trimmed Mean ( 15 / 45 )0.1446811143682240.1340966657328921.07893148258
Trimmed Mean ( 16 / 45 )0.1498972308323810.1317058441684841.13812133226697
Trimmed Mean ( 17 / 45 )0.1545200896834950.1293799384360591.19431259244153
Trimmed Mean ( 18 / 45 )0.1597354379940590.1269351927963231.25840150769193
Trimmed Mean ( 19 / 45 )0.1633071640141410.1246553368673011.3100695735794
Trimmed Mean ( 20 / 45 )0.1667971055402060.1225134301362681.36145976285769
Trimmed Mean ( 21 / 45 )0.1692085182884210.12042945453071.40504263635343
Trimmed Mean ( 22 / 45 )0.1709209595419350.1186033972563271.44111352200594
Trimmed Mean ( 23 / 45 )0.1733076839274730.11674520603631.4844950795974
Trimmed Mean ( 24 / 45 )0.1749544858134830.1148009428406871.52398126256047
Trimmed Mean ( 25 / 45 )0.1775158533034480.1130461803016811.57029501421208
Trimmed Mean ( 26 / 45 )0.1802864616164710.1112408915327091.62068515572315
Trimmed Mean ( 27 / 45 )0.1822374606915660.1093655271481261.6663153869751
Trimmed Mean ( 28 / 45 )0.1837724597209880.1073314706296021.71219548789359
Trimmed Mean ( 29 / 45 )0.1860351802202530.105269859721531.76722169776203
Trimmed Mean ( 30 / 45 )0.1898380420441560.1035176600289721.83387107080111
Trimmed Mean ( 31 / 45 )0.1932859898320.101724896684251.9000853884566
Trimmed Mean ( 32 / 45 )0.1969908114712330.09965162145560351.97679484381492
Trimmed Mean ( 33 / 45 )0.2011821019352110.09740451590318032.06542889792898
Trimmed Mean ( 34 / 45 )0.2027692643101450.09547455222114322.1238042975104
Trimmed Mean ( 35 / 45 )0.202336555782090.0938506978576982.15594087631489
Trimmed Mean ( 36 / 45 )0.2012406036523080.09205586987170132.1860703063561
Trimmed Mean ( 37 / 45 )0.2000915751968250.09023364699008892.21748296640169
Trimmed Mean ( 38 / 45 )0.1993283481540980.08817124539724782.26069561857771
Trimmed Mean ( 39 / 45 )0.1977768175830510.08621763811735612.29392525591857
Trimmed Mean ( 40 / 45 )0.1973788287263160.08444518777884922.33736029154467
Trimmed Mean ( 41 / 45 )0.1971864224981820.08269724983031732.38443748616525
Trimmed Mean ( 42 / 45 )0.1964839290075470.08131715219183612.41626672493424
Trimmed Mean ( 43 / 45 )0.1956569066156860.07975777059697732.45313911298194
Trimmed Mean ( 44 / 45 )0.1983196170897960.07884535649723742.51529862886402
Trimmed Mean ( 45 / 45 )0.2017630688808510.07779400241589332.59355557774504
Median0.380668
Midrange-0.72029
Midmean - Weighted Average at Xnp0.182231606432353
Midmean - Weighted Average at X(n+1)p0.202769264310145
Midmean - Empirical Distribution Function0.202769264310145
Midmean - Empirical Distribution Function - Averaging0.202769264310145
Midmean - Empirical Distribution Function - Interpolation0.202769264310145
Midmean - Closest Observation0.18082827482
Midmean - True Basic - Statistics Graphics Toolkit0.202769264310145
Midmean - MS Excel (old versions)0.202769264310145
Number of observations137



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
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')