Free Statistics

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 computationTue, 30 Sep 2014 15:01:20 +0100
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/Sep/30/t14120857029bn4ey94mhjym78.htm/, Retrieved Thu, 31 Oct 2024 23:32:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=237026, Retrieved Thu, 31 Oct 2024 23:32:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact107
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Central Tendency] [Time needed to su...] [2010-09-25 09:42:08] [b98453cac15ba1066b407e146608df68]
- RM D    [Central Tendency] [Central Tendency ...] [2014-09-30 14:01:20] [d9810f96fa2f1581f787e7f797109997] [Current]
Feedback Forum

Post a new message
Dataseries X:
426.113
383.703
232.444
70.939
226.731
947.293
611.281
158.047
33.999
37.028
388.3
506.652
392.25
180.818
198.296
217.465
275.562
1030.944
57.47
136.452
556.277
213.361
274.482
220.553
236.71
260.642
2763.544
213.923
169.861
403.064
449.594
406.167
206.893
156.187
257.102
62.156
662.883
251.422
171.328
350.089
221.588
4.813
183.186
190.379
223.166
232.669
356.725
109.215
475.834
315.955
694.87
8.95
278.741
308.16
207.533
192.797
601.162
289.714
293.671
386.688
699.645
85.094
131.812
645.285
197.549
308.174
86.58
242.205
238.502
187.881
140.321
440.31
421.403
218.761
1305.923
137.55
262.517
348.821
150.034
64.016
261.596
259.7
171.26
203.077
249.148
211.655
252.64
438.555
239.89
401.915
216.886
184.641
380.155
653.641
313.906
366.936
236.302
229.641
235.577
103.898
263.906
241.171
216.548
295.281
193.299
204.386
257.567
136.813
240.755
59.609
213.511
380.531
242.344
250.407
183.613
191.835
266.793
246.542
330.563
403.556
208.108
324.04
308.532
199.297
200.156
262.875
287.069
190.157
199.746
265.777
435.956
72.844
756.46
206.771
4202.361
401.422
216.046
39.047
441.437




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=237026&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]1 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=237026&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=237026&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 time1 seconds
R Server'George Udny Yule' @ yule.wessa.net







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean333.34082014388536.88560689282589.03715156734264
Geometric Mean240.575054099351
Harmonic Mean137.582408146386
Quadratic Mean546.6916185582
Winsorized Mean ( 1 / 46 )323.01938129496429.784872251253710.8450819788682
Winsorized Mean ( 2 / 46 )302.40683453237419.031524295499215.8897852761006
Winsorized Mean ( 3 / 46 )296.53741007194216.947214931759817.497707515128
Winsorized Mean ( 4 / 46 )294.18828776978416.210742153059518.1477371604643
Winsorized Mean ( 5 / 46 )287.98648920863314.306138390897520.1302742459048
Winsorized Mean ( 6 / 46 )285.62637410071913.735977211478520.7940337773737
Winsorized Mean ( 7 / 46 )285.51417266187113.668381228368520.8886603242592
Winsorized Mean ( 8 / 46 )283.78024460431713.265086958385821.3930180401055
Winsorized Mean ( 9 / 46 )283.6300935251813.088524889972221.6701344047169
Winsorized Mean ( 10 / 46 )283.16599280575512.949907386063921.8662562104874
Winsorized Mean ( 11 / 46 )281.4444532374112.302452995255522.8771004730479
Winsorized Mean ( 12 / 46 )280.69915827338112.11902488826323.1618600391878
Winsorized Mean ( 13 / 46 )278.12094964028811.150695127293524.9420279601703
Winsorized Mean ( 14 / 46 )273.65827338129510.223038208975226.7687812358012
Winsorized Mean ( 15 / 46 )272.7711151079149.4130393445043328.9780064785523
Winsorized Mean ( 16 / 46 )270.2847841726628.8979061984185230.3762231412039
Winsorized Mean ( 17 / 46 )269.3313165467638.7491198834848130.7838182735572
Winsorized Mean ( 18 / 46 )269.280812949648.7178818604992630.8883301309407
Winsorized Mean ( 19 / 46 )269.4196906474828.6425828738459231.1735154386308
Winsorized Mean ( 20 / 46 )270.4432877697848.4415982446772532.036976877016
Winsorized Mean ( 21 / 46 )269.8858057553968.1373558243576333.1662780368463
Winsorized Mean ( 22 / 46 )269.4347266187058.0044700493155433.6605327971393
Winsorized Mean ( 23 / 46 )268.8684964028787.4703881632064135.9912350642132
Winsorized Mean ( 24 / 46 )268.6592302158277.3874014230477836.3672169455478
Winsorized Mean ( 25 / 46 )268.5829712230227.3745316133508736.4203430543003
Winsorized Mean ( 26 / 46 )270.1431582733817.1811597898932937.618318792123
Winsorized Mean ( 27 / 46 )270.5073669064757.1272704811910737.9538517052701
Winsorized Mean ( 28 / 46 )268.7457841726626.8763535116604439.0826015150242
Winsorized Mean ( 29 / 46 )268.1361582733816.7503361816618439.7218969629702
Winsorized Mean ( 30 / 46 )268.4875251798566.64338398057140.4142716972352
Winsorized Mean ( 31 / 46 )268.3294028776986.5133516577014741.1968241512681
Winsorized Mean ( 32 / 46 )267.650266187056.4154769720752641.7194648740936
Winsorized Mean ( 33 / 46 )267.9066690647486.3740581897743942.0307849549504
Winsorized Mean ( 34 / 46 )264.9085539568355.9460349841342644.5521351057784
Winsorized Mean ( 35 / 46 )262.4638417266195.618613915317446.7132722914264
Winsorized Mean ( 36 / 46 )261.8458848920865.3133191983704749.2810379192711
Winsorized Mean ( 37 / 46 )261.7072014388495.2553263074590349.7984684732898
Winsorized Mean ( 38 / 46 )256.9894604316554.6439551368450555.3384890376536
Winsorized Mean ( 39 / 46 )255.2852446043174.4244043961116157.6993470191545
Winsorized Mean ( 40 / 46 )253.0766115107914.1549185543844360.9101257216547
Winsorized Mean ( 41 / 46 )253.3338201438854.009801578483263.1786424304103
Winsorized Mean ( 42 / 46 )252.105546762593.7975009595547366.3872239790428
Winsorized Mean ( 43 / 46 )252.7326043165473.7189216653486567.958571612681
Winsorized Mean ( 44 / 46 )252.7667913669063.714985778313368.0397736224092
Winsorized Mean ( 45 / 46 )248.8045251798563.2546030341739676.4469652880431
Winsorized Mean ( 46 / 46 )248.4620071942453.1821216605575578.0806121506714
Trimmed Mean ( 1 / 46 )307.49781021897824.219556010148912.6962612398892
Trimmed Mean ( 2 / 46 )291.51634074074116.244254536747317.9458121689291
Trimmed Mean ( 3 / 46 )285.82544360902314.466021285497619.7584005973755
Trimmed Mean ( 4 / 46 )282.03673282442713.393383266843721.057915479999
Trimmed Mean ( 5 / 46 )278.76334883720912.431730943415522.4235345911229
Trimmed Mean ( 6 / 46 )276.7444251968511.921432259204523.2140248906064
Trimmed Mean ( 7 / 46 )275.09830411.494407031103223.9332314625366
Trimmed Mean ( 8 / 46 )273.41676422764211.031019891213224.7861727133167
Trimmed Mean ( 9 / 46 )271.92861983471110.595819208122625.663765537473
Trimmed Mean ( 10 / 46 )270.40994117647110.140042329476226.6675357350742
Trimmed Mean ( 11 / 46 )268.8944786324799.6504351717991727.8634562945152
Trimmed Mean ( 12 / 46 )267.5154695652179.2128931798567529.0370749277891
Trimmed Mean ( 13 / 46 )266.1640442477888.7477588548270130.4265410906839
Trimmed Mean ( 14 / 46 )265.012270270278.3819335364711131.6170808462224
Trimmed Mean ( 15 / 46 )264.2247247706428.1143788601100732.5625324286446
Trimmed Mean ( 16 / 46 )263.4845700934587.9271906162029933.2380767475052
Trimmed Mean ( 17 / 46 )262.9219333333337.7856354840752333.7701314004637
Trimmed Mean ( 18 / 46 )262.413135922337.6455996796372734.3221129692707
Trimmed Mean ( 19 / 46 )261.8880495049517.491674116325634.9572132261136
Trimmed Mean ( 20 / 46 )261.3314848484857.3269488088514135.6671640086771
Trimmed Mean ( 21 / 46 )260.6786288659797.1640217412340736.3871912009406
Trimmed Mean ( 22 / 46 )260.0371263157897.0161833543986237.0624758762563
Trimmed Mean ( 23 / 46 )259.3986774193556.8640435438007337.7909428697653
Trimmed Mean ( 24 / 46 )258.7697692307696.7533089008572238.3174785915572
Trimmed Mean ( 25 / 46 )258.1262134831466.6357220015601738.899491784384
Trimmed Mean ( 26 / 46 )257.4579425287366.501754698639639.5982245504595
Trimmed Mean ( 27 / 46 )256.6600941176476.3674765078079140.3079766062625
Trimmed Mean ( 28 / 46 )255.8012048192776.217172209385241.1443010108566
Trimmed Mean ( 29 / 46 )255.0078641975316.0755720928550741.9726505257706
Trimmed Mean ( 30 / 46 )254.2113417721525.9264271477603242.8945358533973
Trimmed Mean ( 31 / 46 )253.3522987012995.7639023582205843.9549948898706
Trimmed Mean ( 32 / 46 )252.4568933333335.5891368177074945.1692097666137
Trimmed Mean ( 33 / 46 )251.5528356164385.3963368669344546.6154804304017
Trimmed Mean ( 34 / 46 )250.5826338028175.1708345775771848.4607716691313
Trimmed Mean ( 35 / 46 )249.7338260869574.9713271472355150.2348404541894
Trimmed Mean ( 36 / 46 )248.9792537313434.7859751453091252.0226800541109
Trimmed Mean ( 37 / 46 )248.2149538461544.6093069534967353.850818865047
Trimmed Mean ( 38 / 46 )247.4103968253974.4031332502116256.1896228812757
Trimmed Mean ( 39 / 46 )246.8359836065574.261869172812657.9173066083723
Trimmed Mean ( 40 / 46 )246.3255762711864.1270450698170559.6857005688348
Trimmed Mean ( 41 / 46 )245.9144.0087496922654261.3443140324956
Trimmed Mean ( 42 / 46 )245.4566363636363.8849728145692163.1810434922835
Trimmed Mean ( 43 / 46 )245.0414528301893.7690886312197465.0134493523145
Trimmed Mean ( 44 / 46 )244.5539607843143.6347640688286367.2819352655056
Trimmed Mean ( 45 / 46 )244.0244693877553.4633366516759370.4593557977304
Trimmed Mean ( 46 / 46 )243.7103191489363.3489638641071772.7718569199638
Median241.171
Midrange2103.587
Midmean - Weighted Average at Xnp248.920442857143
Midmean - Weighted Average at X(n+1)p250.582633802817
Midmean - Empirical Distribution Function250.582633802817
Midmean - Empirical Distribution Function - Averaging250.582633802817
Midmean - Empirical Distribution Function - Interpolation249.733826086957
Midmean - Closest Observation248.920442857143
Midmean - True Basic - Statistics Graphics Toolkit250.582633802817
Midmean - MS Excel (old versions)250.582633802817
Number of observations139

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 333.340820143885 & 36.8856068928258 & 9.03715156734264 \tabularnewline
Geometric Mean & 240.575054099351 &  &  \tabularnewline
Harmonic Mean & 137.582408146386 &  &  \tabularnewline
Quadratic Mean & 546.6916185582 &  &  \tabularnewline
Winsorized Mean ( 1 / 46 ) & 323.019381294964 & 29.7848722512537 & 10.8450819788682 \tabularnewline
Winsorized Mean ( 2 / 46 ) & 302.406834532374 & 19.0315242954992 & 15.8897852761006 \tabularnewline
Winsorized Mean ( 3 / 46 ) & 296.537410071942 & 16.9472149317598 & 17.497707515128 \tabularnewline
Winsorized Mean ( 4 / 46 ) & 294.188287769784 & 16.2107421530595 & 18.1477371604643 \tabularnewline
Winsorized Mean ( 5 / 46 ) & 287.986489208633 & 14.3061383908975 & 20.1302742459048 \tabularnewline
Winsorized Mean ( 6 / 46 ) & 285.626374100719 & 13.7359772114785 & 20.7940337773737 \tabularnewline
Winsorized Mean ( 7 / 46 ) & 285.514172661871 & 13.6683812283685 & 20.8886603242592 \tabularnewline
Winsorized Mean ( 8 / 46 ) & 283.780244604317 & 13.2650869583858 & 21.3930180401055 \tabularnewline
Winsorized Mean ( 9 / 46 ) & 283.63009352518 & 13.0885248899722 & 21.6701344047169 \tabularnewline
Winsorized Mean ( 10 / 46 ) & 283.165992805755 & 12.9499073860639 & 21.8662562104874 \tabularnewline
Winsorized Mean ( 11 / 46 ) & 281.44445323741 & 12.3024529952555 & 22.8771004730479 \tabularnewline
Winsorized Mean ( 12 / 46 ) & 280.699158273381 & 12.119024888263 & 23.1618600391878 \tabularnewline
Winsorized Mean ( 13 / 46 ) & 278.120949640288 & 11.1506951272935 & 24.9420279601703 \tabularnewline
Winsorized Mean ( 14 / 46 ) & 273.658273381295 & 10.2230382089752 & 26.7687812358012 \tabularnewline
Winsorized Mean ( 15 / 46 ) & 272.771115107914 & 9.41303934450433 & 28.9780064785523 \tabularnewline
Winsorized Mean ( 16 / 46 ) & 270.284784172662 & 8.89790619841852 & 30.3762231412039 \tabularnewline
Winsorized Mean ( 17 / 46 ) & 269.331316546763 & 8.74911988348481 & 30.7838182735572 \tabularnewline
Winsorized Mean ( 18 / 46 ) & 269.28081294964 & 8.71788186049926 & 30.8883301309407 \tabularnewline
Winsorized Mean ( 19 / 46 ) & 269.419690647482 & 8.64258287384592 & 31.1735154386308 \tabularnewline
Winsorized Mean ( 20 / 46 ) & 270.443287769784 & 8.44159824467725 & 32.036976877016 \tabularnewline
Winsorized Mean ( 21 / 46 ) & 269.885805755396 & 8.13735582435763 & 33.1662780368463 \tabularnewline
Winsorized Mean ( 22 / 46 ) & 269.434726618705 & 8.00447004931554 & 33.6605327971393 \tabularnewline
Winsorized Mean ( 23 / 46 ) & 268.868496402878 & 7.47038816320641 & 35.9912350642132 \tabularnewline
Winsorized Mean ( 24 / 46 ) & 268.659230215827 & 7.38740142304778 & 36.3672169455478 \tabularnewline
Winsorized Mean ( 25 / 46 ) & 268.582971223022 & 7.37453161335087 & 36.4203430543003 \tabularnewline
Winsorized Mean ( 26 / 46 ) & 270.143158273381 & 7.18115978989329 & 37.618318792123 \tabularnewline
Winsorized Mean ( 27 / 46 ) & 270.507366906475 & 7.12727048119107 & 37.9538517052701 \tabularnewline
Winsorized Mean ( 28 / 46 ) & 268.745784172662 & 6.87635351166044 & 39.0826015150242 \tabularnewline
Winsorized Mean ( 29 / 46 ) & 268.136158273381 & 6.75033618166184 & 39.7218969629702 \tabularnewline
Winsorized Mean ( 30 / 46 ) & 268.487525179856 & 6.643383980571 & 40.4142716972352 \tabularnewline
Winsorized Mean ( 31 / 46 ) & 268.329402877698 & 6.51335165770147 & 41.1968241512681 \tabularnewline
Winsorized Mean ( 32 / 46 ) & 267.65026618705 & 6.41547697207526 & 41.7194648740936 \tabularnewline
Winsorized Mean ( 33 / 46 ) & 267.906669064748 & 6.37405818977439 & 42.0307849549504 \tabularnewline
Winsorized Mean ( 34 / 46 ) & 264.908553956835 & 5.94603498413426 & 44.5521351057784 \tabularnewline
Winsorized Mean ( 35 / 46 ) & 262.463841726619 & 5.6186139153174 & 46.7132722914264 \tabularnewline
Winsorized Mean ( 36 / 46 ) & 261.845884892086 & 5.31331919837047 & 49.2810379192711 \tabularnewline
Winsorized Mean ( 37 / 46 ) & 261.707201438849 & 5.25532630745903 & 49.7984684732898 \tabularnewline
Winsorized Mean ( 38 / 46 ) & 256.989460431655 & 4.64395513684505 & 55.3384890376536 \tabularnewline
Winsorized Mean ( 39 / 46 ) & 255.285244604317 & 4.42440439611161 & 57.6993470191545 \tabularnewline
Winsorized Mean ( 40 / 46 ) & 253.076611510791 & 4.15491855438443 & 60.9101257216547 \tabularnewline
Winsorized Mean ( 41 / 46 ) & 253.333820143885 & 4.0098015784832 & 63.1786424304103 \tabularnewline
Winsorized Mean ( 42 / 46 ) & 252.10554676259 & 3.79750095955473 & 66.3872239790428 \tabularnewline
Winsorized Mean ( 43 / 46 ) & 252.732604316547 & 3.71892166534865 & 67.958571612681 \tabularnewline
Winsorized Mean ( 44 / 46 ) & 252.766791366906 & 3.7149857783133 & 68.0397736224092 \tabularnewline
Winsorized Mean ( 45 / 46 ) & 248.804525179856 & 3.25460303417396 & 76.4469652880431 \tabularnewline
Winsorized Mean ( 46 / 46 ) & 248.462007194245 & 3.18212166055755 & 78.0806121506714 \tabularnewline
Trimmed Mean ( 1 / 46 ) & 307.497810218978 & 24.2195560101489 & 12.6962612398892 \tabularnewline
Trimmed Mean ( 2 / 46 ) & 291.516340740741 & 16.2442545367473 & 17.9458121689291 \tabularnewline
Trimmed Mean ( 3 / 46 ) & 285.825443609023 & 14.4660212854976 & 19.7584005973755 \tabularnewline
Trimmed Mean ( 4 / 46 ) & 282.036732824427 & 13.3933832668437 & 21.057915479999 \tabularnewline
Trimmed Mean ( 5 / 46 ) & 278.763348837209 & 12.4317309434155 & 22.4235345911229 \tabularnewline
Trimmed Mean ( 6 / 46 ) & 276.74442519685 & 11.9214322592045 & 23.2140248906064 \tabularnewline
Trimmed Mean ( 7 / 46 ) & 275.098304 & 11.4944070311032 & 23.9332314625366 \tabularnewline
Trimmed Mean ( 8 / 46 ) & 273.416764227642 & 11.0310198912132 & 24.7861727133167 \tabularnewline
Trimmed Mean ( 9 / 46 ) & 271.928619834711 & 10.5958192081226 & 25.663765537473 \tabularnewline
Trimmed Mean ( 10 / 46 ) & 270.409941176471 & 10.1400423294762 & 26.6675357350742 \tabularnewline
Trimmed Mean ( 11 / 46 ) & 268.894478632479 & 9.65043517179917 & 27.8634562945152 \tabularnewline
Trimmed Mean ( 12 / 46 ) & 267.515469565217 & 9.21289317985675 & 29.0370749277891 \tabularnewline
Trimmed Mean ( 13 / 46 ) & 266.164044247788 & 8.74775885482701 & 30.4265410906839 \tabularnewline
Trimmed Mean ( 14 / 46 ) & 265.01227027027 & 8.38193353647111 & 31.6170808462224 \tabularnewline
Trimmed Mean ( 15 / 46 ) & 264.224724770642 & 8.11437886011007 & 32.5625324286446 \tabularnewline
Trimmed Mean ( 16 / 46 ) & 263.484570093458 & 7.92719061620299 & 33.2380767475052 \tabularnewline
Trimmed Mean ( 17 / 46 ) & 262.921933333333 & 7.78563548407523 & 33.7701314004637 \tabularnewline
Trimmed Mean ( 18 / 46 ) & 262.41313592233 & 7.64559967963727 & 34.3221129692707 \tabularnewline
Trimmed Mean ( 19 / 46 ) & 261.888049504951 & 7.4916741163256 & 34.9572132261136 \tabularnewline
Trimmed Mean ( 20 / 46 ) & 261.331484848485 & 7.32694880885141 & 35.6671640086771 \tabularnewline
Trimmed Mean ( 21 / 46 ) & 260.678628865979 & 7.16402174123407 & 36.3871912009406 \tabularnewline
Trimmed Mean ( 22 / 46 ) & 260.037126315789 & 7.01618335439862 & 37.0624758762563 \tabularnewline
Trimmed Mean ( 23 / 46 ) & 259.398677419355 & 6.86404354380073 & 37.7909428697653 \tabularnewline
Trimmed Mean ( 24 / 46 ) & 258.769769230769 & 6.75330890085722 & 38.3174785915572 \tabularnewline
Trimmed Mean ( 25 / 46 ) & 258.126213483146 & 6.63572200156017 & 38.899491784384 \tabularnewline
Trimmed Mean ( 26 / 46 ) & 257.457942528736 & 6.5017546986396 & 39.5982245504595 \tabularnewline
Trimmed Mean ( 27 / 46 ) & 256.660094117647 & 6.36747650780791 & 40.3079766062625 \tabularnewline
Trimmed Mean ( 28 / 46 ) & 255.801204819277 & 6.2171722093852 & 41.1443010108566 \tabularnewline
Trimmed Mean ( 29 / 46 ) & 255.007864197531 & 6.07557209285507 & 41.9726505257706 \tabularnewline
Trimmed Mean ( 30 / 46 ) & 254.211341772152 & 5.92642714776032 & 42.8945358533973 \tabularnewline
Trimmed Mean ( 31 / 46 ) & 253.352298701299 & 5.76390235822058 & 43.9549948898706 \tabularnewline
Trimmed Mean ( 32 / 46 ) & 252.456893333333 & 5.58913681770749 & 45.1692097666137 \tabularnewline
Trimmed Mean ( 33 / 46 ) & 251.552835616438 & 5.39633686693445 & 46.6154804304017 \tabularnewline
Trimmed Mean ( 34 / 46 ) & 250.582633802817 & 5.17083457757718 & 48.4607716691313 \tabularnewline
Trimmed Mean ( 35 / 46 ) & 249.733826086957 & 4.97132714723551 & 50.2348404541894 \tabularnewline
Trimmed Mean ( 36 / 46 ) & 248.979253731343 & 4.78597514530912 & 52.0226800541109 \tabularnewline
Trimmed Mean ( 37 / 46 ) & 248.214953846154 & 4.60930695349673 & 53.850818865047 \tabularnewline
Trimmed Mean ( 38 / 46 ) & 247.410396825397 & 4.40313325021162 & 56.1896228812757 \tabularnewline
Trimmed Mean ( 39 / 46 ) & 246.835983606557 & 4.2618691728126 & 57.9173066083723 \tabularnewline
Trimmed Mean ( 40 / 46 ) & 246.325576271186 & 4.12704506981705 & 59.6857005688348 \tabularnewline
Trimmed Mean ( 41 / 46 ) & 245.914 & 4.00874969226542 & 61.3443140324956 \tabularnewline
Trimmed Mean ( 42 / 46 ) & 245.456636363636 & 3.88497281456921 & 63.1810434922835 \tabularnewline
Trimmed Mean ( 43 / 46 ) & 245.041452830189 & 3.76908863121974 & 65.0134493523145 \tabularnewline
Trimmed Mean ( 44 / 46 ) & 244.553960784314 & 3.63476406882863 & 67.2819352655056 \tabularnewline
Trimmed Mean ( 45 / 46 ) & 244.024469387755 & 3.46333665167593 & 70.4593557977304 \tabularnewline
Trimmed Mean ( 46 / 46 ) & 243.710319148936 & 3.34896386410717 & 72.7718569199638 \tabularnewline
Median & 241.171 &  &  \tabularnewline
Midrange & 2103.587 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 248.920442857143 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 250.582633802817 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 250.582633802817 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 250.582633802817 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 249.733826086957 &  &  \tabularnewline
Midmean - Closest Observation & 248.920442857143 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 250.582633802817 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 250.582633802817 &  &  \tabularnewline
Number of observations & 139 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=237026&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]333.340820143885[/C][C]36.8856068928258[/C][C]9.03715156734264[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]240.575054099351[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]137.582408146386[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]546.6916185582[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 46 )[/C][C]323.019381294964[/C][C]29.7848722512537[/C][C]10.8450819788682[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 46 )[/C][C]302.406834532374[/C][C]19.0315242954992[/C][C]15.8897852761006[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 46 )[/C][C]296.537410071942[/C][C]16.9472149317598[/C][C]17.497707515128[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 46 )[/C][C]294.188287769784[/C][C]16.2107421530595[/C][C]18.1477371604643[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 46 )[/C][C]287.986489208633[/C][C]14.3061383908975[/C][C]20.1302742459048[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 46 )[/C][C]285.626374100719[/C][C]13.7359772114785[/C][C]20.7940337773737[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 46 )[/C][C]285.514172661871[/C][C]13.6683812283685[/C][C]20.8886603242592[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 46 )[/C][C]283.780244604317[/C][C]13.2650869583858[/C][C]21.3930180401055[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 46 )[/C][C]283.63009352518[/C][C]13.0885248899722[/C][C]21.6701344047169[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 46 )[/C][C]283.165992805755[/C][C]12.9499073860639[/C][C]21.8662562104874[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 46 )[/C][C]281.44445323741[/C][C]12.3024529952555[/C][C]22.8771004730479[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 46 )[/C][C]280.699158273381[/C][C]12.119024888263[/C][C]23.1618600391878[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 46 )[/C][C]278.120949640288[/C][C]11.1506951272935[/C][C]24.9420279601703[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 46 )[/C][C]273.658273381295[/C][C]10.2230382089752[/C][C]26.7687812358012[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 46 )[/C][C]272.771115107914[/C][C]9.41303934450433[/C][C]28.9780064785523[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 46 )[/C][C]270.284784172662[/C][C]8.89790619841852[/C][C]30.3762231412039[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 46 )[/C][C]269.331316546763[/C][C]8.74911988348481[/C][C]30.7838182735572[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 46 )[/C][C]269.28081294964[/C][C]8.71788186049926[/C][C]30.8883301309407[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 46 )[/C][C]269.419690647482[/C][C]8.64258287384592[/C][C]31.1735154386308[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 46 )[/C][C]270.443287769784[/C][C]8.44159824467725[/C][C]32.036976877016[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 46 )[/C][C]269.885805755396[/C][C]8.13735582435763[/C][C]33.1662780368463[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 46 )[/C][C]269.434726618705[/C][C]8.00447004931554[/C][C]33.6605327971393[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 46 )[/C][C]268.868496402878[/C][C]7.47038816320641[/C][C]35.9912350642132[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 46 )[/C][C]268.659230215827[/C][C]7.38740142304778[/C][C]36.3672169455478[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 46 )[/C][C]268.582971223022[/C][C]7.37453161335087[/C][C]36.4203430543003[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 46 )[/C][C]270.143158273381[/C][C]7.18115978989329[/C][C]37.618318792123[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 46 )[/C][C]270.507366906475[/C][C]7.12727048119107[/C][C]37.9538517052701[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 46 )[/C][C]268.745784172662[/C][C]6.87635351166044[/C][C]39.0826015150242[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 46 )[/C][C]268.136158273381[/C][C]6.75033618166184[/C][C]39.7218969629702[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 46 )[/C][C]268.487525179856[/C][C]6.643383980571[/C][C]40.4142716972352[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 46 )[/C][C]268.329402877698[/C][C]6.51335165770147[/C][C]41.1968241512681[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 46 )[/C][C]267.65026618705[/C][C]6.41547697207526[/C][C]41.7194648740936[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 46 )[/C][C]267.906669064748[/C][C]6.37405818977439[/C][C]42.0307849549504[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 46 )[/C][C]264.908553956835[/C][C]5.94603498413426[/C][C]44.5521351057784[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 46 )[/C][C]262.463841726619[/C][C]5.6186139153174[/C][C]46.7132722914264[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 46 )[/C][C]261.845884892086[/C][C]5.31331919837047[/C][C]49.2810379192711[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 46 )[/C][C]261.707201438849[/C][C]5.25532630745903[/C][C]49.7984684732898[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 46 )[/C][C]256.989460431655[/C][C]4.64395513684505[/C][C]55.3384890376536[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 46 )[/C][C]255.285244604317[/C][C]4.42440439611161[/C][C]57.6993470191545[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 46 )[/C][C]253.076611510791[/C][C]4.15491855438443[/C][C]60.9101257216547[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 46 )[/C][C]253.333820143885[/C][C]4.0098015784832[/C][C]63.1786424304103[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 46 )[/C][C]252.10554676259[/C][C]3.79750095955473[/C][C]66.3872239790428[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 46 )[/C][C]252.732604316547[/C][C]3.71892166534865[/C][C]67.958571612681[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 46 )[/C][C]252.766791366906[/C][C]3.7149857783133[/C][C]68.0397736224092[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 46 )[/C][C]248.804525179856[/C][C]3.25460303417396[/C][C]76.4469652880431[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 46 )[/C][C]248.462007194245[/C][C]3.18212166055755[/C][C]78.0806121506714[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 46 )[/C][C]307.497810218978[/C][C]24.2195560101489[/C][C]12.6962612398892[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 46 )[/C][C]291.516340740741[/C][C]16.2442545367473[/C][C]17.9458121689291[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 46 )[/C][C]285.825443609023[/C][C]14.4660212854976[/C][C]19.7584005973755[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 46 )[/C][C]282.036732824427[/C][C]13.3933832668437[/C][C]21.057915479999[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 46 )[/C][C]278.763348837209[/C][C]12.4317309434155[/C][C]22.4235345911229[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 46 )[/C][C]276.74442519685[/C][C]11.9214322592045[/C][C]23.2140248906064[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 46 )[/C][C]275.098304[/C][C]11.4944070311032[/C][C]23.9332314625366[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 46 )[/C][C]273.416764227642[/C][C]11.0310198912132[/C][C]24.7861727133167[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 46 )[/C][C]271.928619834711[/C][C]10.5958192081226[/C][C]25.663765537473[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 46 )[/C][C]270.409941176471[/C][C]10.1400423294762[/C][C]26.6675357350742[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 46 )[/C][C]268.894478632479[/C][C]9.65043517179917[/C][C]27.8634562945152[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 46 )[/C][C]267.515469565217[/C][C]9.21289317985675[/C][C]29.0370749277891[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 46 )[/C][C]266.164044247788[/C][C]8.74775885482701[/C][C]30.4265410906839[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 46 )[/C][C]265.01227027027[/C][C]8.38193353647111[/C][C]31.6170808462224[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 46 )[/C][C]264.224724770642[/C][C]8.11437886011007[/C][C]32.5625324286446[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 46 )[/C][C]263.484570093458[/C][C]7.92719061620299[/C][C]33.2380767475052[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 46 )[/C][C]262.921933333333[/C][C]7.78563548407523[/C][C]33.7701314004637[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 46 )[/C][C]262.41313592233[/C][C]7.64559967963727[/C][C]34.3221129692707[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 46 )[/C][C]261.888049504951[/C][C]7.4916741163256[/C][C]34.9572132261136[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 46 )[/C][C]261.331484848485[/C][C]7.32694880885141[/C][C]35.6671640086771[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 46 )[/C][C]260.678628865979[/C][C]7.16402174123407[/C][C]36.3871912009406[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 46 )[/C][C]260.037126315789[/C][C]7.01618335439862[/C][C]37.0624758762563[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 46 )[/C][C]259.398677419355[/C][C]6.86404354380073[/C][C]37.7909428697653[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 46 )[/C][C]258.769769230769[/C][C]6.75330890085722[/C][C]38.3174785915572[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 46 )[/C][C]258.126213483146[/C][C]6.63572200156017[/C][C]38.899491784384[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 46 )[/C][C]257.457942528736[/C][C]6.5017546986396[/C][C]39.5982245504595[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 46 )[/C][C]256.660094117647[/C][C]6.36747650780791[/C][C]40.3079766062625[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 46 )[/C][C]255.801204819277[/C][C]6.2171722093852[/C][C]41.1443010108566[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 46 )[/C][C]255.007864197531[/C][C]6.07557209285507[/C][C]41.9726505257706[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 46 )[/C][C]254.211341772152[/C][C]5.92642714776032[/C][C]42.8945358533973[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 46 )[/C][C]253.352298701299[/C][C]5.76390235822058[/C][C]43.9549948898706[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 46 )[/C][C]252.456893333333[/C][C]5.58913681770749[/C][C]45.1692097666137[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 46 )[/C][C]251.552835616438[/C][C]5.39633686693445[/C][C]46.6154804304017[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 46 )[/C][C]250.582633802817[/C][C]5.17083457757718[/C][C]48.4607716691313[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 46 )[/C][C]249.733826086957[/C][C]4.97132714723551[/C][C]50.2348404541894[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 46 )[/C][C]248.979253731343[/C][C]4.78597514530912[/C][C]52.0226800541109[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 46 )[/C][C]248.214953846154[/C][C]4.60930695349673[/C][C]53.850818865047[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 46 )[/C][C]247.410396825397[/C][C]4.40313325021162[/C][C]56.1896228812757[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 46 )[/C][C]246.835983606557[/C][C]4.2618691728126[/C][C]57.9173066083723[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 46 )[/C][C]246.325576271186[/C][C]4.12704506981705[/C][C]59.6857005688348[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 46 )[/C][C]245.914[/C][C]4.00874969226542[/C][C]61.3443140324956[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 46 )[/C][C]245.456636363636[/C][C]3.88497281456921[/C][C]63.1810434922835[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 46 )[/C][C]245.041452830189[/C][C]3.76908863121974[/C][C]65.0134493523145[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 46 )[/C][C]244.553960784314[/C][C]3.63476406882863[/C][C]67.2819352655056[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 46 )[/C][C]244.024469387755[/C][C]3.46333665167593[/C][C]70.4593557977304[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 46 )[/C][C]243.710319148936[/C][C]3.34896386410717[/C][C]72.7718569199638[/C][/ROW]
[ROW][C]Median[/C][C]241.171[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]2103.587[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]248.920442857143[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]250.582633802817[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]250.582633802817[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]250.582633802817[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]249.733826086957[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]248.920442857143[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]250.582633802817[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]250.582633802817[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]139[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=237026&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=237026&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 Mean333.34082014388536.88560689282589.03715156734264
Geometric Mean240.575054099351
Harmonic Mean137.582408146386
Quadratic Mean546.6916185582
Winsorized Mean ( 1 / 46 )323.01938129496429.784872251253710.8450819788682
Winsorized Mean ( 2 / 46 )302.40683453237419.031524295499215.8897852761006
Winsorized Mean ( 3 / 46 )296.53741007194216.947214931759817.497707515128
Winsorized Mean ( 4 / 46 )294.18828776978416.210742153059518.1477371604643
Winsorized Mean ( 5 / 46 )287.98648920863314.306138390897520.1302742459048
Winsorized Mean ( 6 / 46 )285.62637410071913.735977211478520.7940337773737
Winsorized Mean ( 7 / 46 )285.51417266187113.668381228368520.8886603242592
Winsorized Mean ( 8 / 46 )283.78024460431713.265086958385821.3930180401055
Winsorized Mean ( 9 / 46 )283.6300935251813.088524889972221.6701344047169
Winsorized Mean ( 10 / 46 )283.16599280575512.949907386063921.8662562104874
Winsorized Mean ( 11 / 46 )281.4444532374112.302452995255522.8771004730479
Winsorized Mean ( 12 / 46 )280.69915827338112.11902488826323.1618600391878
Winsorized Mean ( 13 / 46 )278.12094964028811.150695127293524.9420279601703
Winsorized Mean ( 14 / 46 )273.65827338129510.223038208975226.7687812358012
Winsorized Mean ( 15 / 46 )272.7711151079149.4130393445043328.9780064785523
Winsorized Mean ( 16 / 46 )270.2847841726628.8979061984185230.3762231412039
Winsorized Mean ( 17 / 46 )269.3313165467638.7491198834848130.7838182735572
Winsorized Mean ( 18 / 46 )269.280812949648.7178818604992630.8883301309407
Winsorized Mean ( 19 / 46 )269.4196906474828.6425828738459231.1735154386308
Winsorized Mean ( 20 / 46 )270.4432877697848.4415982446772532.036976877016
Winsorized Mean ( 21 / 46 )269.8858057553968.1373558243576333.1662780368463
Winsorized Mean ( 22 / 46 )269.4347266187058.0044700493155433.6605327971393
Winsorized Mean ( 23 / 46 )268.8684964028787.4703881632064135.9912350642132
Winsorized Mean ( 24 / 46 )268.6592302158277.3874014230477836.3672169455478
Winsorized Mean ( 25 / 46 )268.5829712230227.3745316133508736.4203430543003
Winsorized Mean ( 26 / 46 )270.1431582733817.1811597898932937.618318792123
Winsorized Mean ( 27 / 46 )270.5073669064757.1272704811910737.9538517052701
Winsorized Mean ( 28 / 46 )268.7457841726626.8763535116604439.0826015150242
Winsorized Mean ( 29 / 46 )268.1361582733816.7503361816618439.7218969629702
Winsorized Mean ( 30 / 46 )268.4875251798566.64338398057140.4142716972352
Winsorized Mean ( 31 / 46 )268.3294028776986.5133516577014741.1968241512681
Winsorized Mean ( 32 / 46 )267.650266187056.4154769720752641.7194648740936
Winsorized Mean ( 33 / 46 )267.9066690647486.3740581897743942.0307849549504
Winsorized Mean ( 34 / 46 )264.9085539568355.9460349841342644.5521351057784
Winsorized Mean ( 35 / 46 )262.4638417266195.618613915317446.7132722914264
Winsorized Mean ( 36 / 46 )261.8458848920865.3133191983704749.2810379192711
Winsorized Mean ( 37 / 46 )261.7072014388495.2553263074590349.7984684732898
Winsorized Mean ( 38 / 46 )256.9894604316554.6439551368450555.3384890376536
Winsorized Mean ( 39 / 46 )255.2852446043174.4244043961116157.6993470191545
Winsorized Mean ( 40 / 46 )253.0766115107914.1549185543844360.9101257216547
Winsorized Mean ( 41 / 46 )253.3338201438854.009801578483263.1786424304103
Winsorized Mean ( 42 / 46 )252.105546762593.7975009595547366.3872239790428
Winsorized Mean ( 43 / 46 )252.7326043165473.7189216653486567.958571612681
Winsorized Mean ( 44 / 46 )252.7667913669063.714985778313368.0397736224092
Winsorized Mean ( 45 / 46 )248.8045251798563.2546030341739676.4469652880431
Winsorized Mean ( 46 / 46 )248.4620071942453.1821216605575578.0806121506714
Trimmed Mean ( 1 / 46 )307.49781021897824.219556010148912.6962612398892
Trimmed Mean ( 2 / 46 )291.51634074074116.244254536747317.9458121689291
Trimmed Mean ( 3 / 46 )285.82544360902314.466021285497619.7584005973755
Trimmed Mean ( 4 / 46 )282.03673282442713.393383266843721.057915479999
Trimmed Mean ( 5 / 46 )278.76334883720912.431730943415522.4235345911229
Trimmed Mean ( 6 / 46 )276.7444251968511.921432259204523.2140248906064
Trimmed Mean ( 7 / 46 )275.09830411.494407031103223.9332314625366
Trimmed Mean ( 8 / 46 )273.41676422764211.031019891213224.7861727133167
Trimmed Mean ( 9 / 46 )271.92861983471110.595819208122625.663765537473
Trimmed Mean ( 10 / 46 )270.40994117647110.140042329476226.6675357350742
Trimmed Mean ( 11 / 46 )268.8944786324799.6504351717991727.8634562945152
Trimmed Mean ( 12 / 46 )267.5154695652179.2128931798567529.0370749277891
Trimmed Mean ( 13 / 46 )266.1640442477888.7477588548270130.4265410906839
Trimmed Mean ( 14 / 46 )265.012270270278.3819335364711131.6170808462224
Trimmed Mean ( 15 / 46 )264.2247247706428.1143788601100732.5625324286446
Trimmed Mean ( 16 / 46 )263.4845700934587.9271906162029933.2380767475052
Trimmed Mean ( 17 / 46 )262.9219333333337.7856354840752333.7701314004637
Trimmed Mean ( 18 / 46 )262.413135922337.6455996796372734.3221129692707
Trimmed Mean ( 19 / 46 )261.8880495049517.491674116325634.9572132261136
Trimmed Mean ( 20 / 46 )261.3314848484857.3269488088514135.6671640086771
Trimmed Mean ( 21 / 46 )260.6786288659797.1640217412340736.3871912009406
Trimmed Mean ( 22 / 46 )260.0371263157897.0161833543986237.0624758762563
Trimmed Mean ( 23 / 46 )259.3986774193556.8640435438007337.7909428697653
Trimmed Mean ( 24 / 46 )258.7697692307696.7533089008572238.3174785915572
Trimmed Mean ( 25 / 46 )258.1262134831466.6357220015601738.899491784384
Trimmed Mean ( 26 / 46 )257.4579425287366.501754698639639.5982245504595
Trimmed Mean ( 27 / 46 )256.6600941176476.3674765078079140.3079766062625
Trimmed Mean ( 28 / 46 )255.8012048192776.217172209385241.1443010108566
Trimmed Mean ( 29 / 46 )255.0078641975316.0755720928550741.9726505257706
Trimmed Mean ( 30 / 46 )254.2113417721525.9264271477603242.8945358533973
Trimmed Mean ( 31 / 46 )253.3522987012995.7639023582205843.9549948898706
Trimmed Mean ( 32 / 46 )252.4568933333335.5891368177074945.1692097666137
Trimmed Mean ( 33 / 46 )251.5528356164385.3963368669344546.6154804304017
Trimmed Mean ( 34 / 46 )250.5826338028175.1708345775771848.4607716691313
Trimmed Mean ( 35 / 46 )249.7338260869574.9713271472355150.2348404541894
Trimmed Mean ( 36 / 46 )248.9792537313434.7859751453091252.0226800541109
Trimmed Mean ( 37 / 46 )248.2149538461544.6093069534967353.850818865047
Trimmed Mean ( 38 / 46 )247.4103968253974.4031332502116256.1896228812757
Trimmed Mean ( 39 / 46 )246.8359836065574.261869172812657.9173066083723
Trimmed Mean ( 40 / 46 )246.3255762711864.1270450698170559.6857005688348
Trimmed Mean ( 41 / 46 )245.9144.0087496922654261.3443140324956
Trimmed Mean ( 42 / 46 )245.4566363636363.8849728145692163.1810434922835
Trimmed Mean ( 43 / 46 )245.0414528301893.7690886312197465.0134493523145
Trimmed Mean ( 44 / 46 )244.5539607843143.6347640688286367.2819352655056
Trimmed Mean ( 45 / 46 )244.0244693877553.4633366516759370.4593557977304
Trimmed Mean ( 46 / 46 )243.7103191489363.3489638641071772.7718569199638
Median241.171
Midrange2103.587
Midmean - Weighted Average at Xnp248.920442857143
Midmean - Weighted Average at X(n+1)p250.582633802817
Midmean - Empirical Distribution Function250.582633802817
Midmean - Empirical Distribution Function - Averaging250.582633802817
Midmean - Empirical Distribution Function - Interpolation249.733826086957
Midmean - Closest Observation248.920442857143
Midmean - True Basic - Statistics Graphics Toolkit250.582633802817
Midmean - MS Excel (old versions)250.582633802817
Number of observations139



Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
geomean <- function(x) {
return(exp(mean(log(x))))
}
harmean <- function(x) {
return(1/mean(1/x))
}
quamean <- function(x) {
return(sqrt(mean(x*x)))
}
winmean <- function(x) {
x <-sort(x[!is.na(x)])
n<-length(x)
denom <- 3
nodenom <- n/denom
if (nodenom>40) denom <- n/40
sqrtn = sqrt(n)
roundnodenom = floor(nodenom)
win <- array(NA,dim=c(roundnodenom,2))
for (j in 1:roundnodenom) {
win[j,1] <- (j*x[j+1]+sum(x[(j+1):(n-j)])+j*x[n-j])/n
win[j,2] <- sd(c(rep(x[j+1],j),x[(j+1):(n-j)],rep(x[n-j],j)))/sqrtn
}
return(win)
}
trimean <- function(x) {
x <-sort(x[!is.na(x)])
n<-length(x)
denom <- 3
nodenom <- n/denom
if (nodenom>40) denom <- n/40
sqrtn = sqrt(n)
roundnodenom = floor(nodenom)
tri <- array(NA,dim=c(roundnodenom,2))
for (j in 1:roundnodenom) {
tri[j,1] <- mean(x,trim=j/n)
tri[j,2] <- sd(x[(j+1):(n-j)]) / sqrt(n-j*2)
}
return(tri)
}
midrange <- function(x) {
return((max(x)+min(x))/2)
}
q1 <- function(data,n,p,i,f) {
np <- n*p;
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q2 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q3 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
q4 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- (data[i]+data[i+1])/2
} else {
qvalue <- data[i+1]
}
}
q5 <- function(data,n,p,i,f) {
np <- (n-1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i+1]
} else {
qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
}
}
q6 <- function(data,n,p,i,f) {
np <- n*p+0.5
i <<- floor(np)
f <<- np - i
qvalue <- data[i]
}
q7 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- f*data[i] + (1-f)*data[i+1]
}
}
q8 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
if (f == 0.5) {
qvalue <- (data[i]+data[i+1])/2
} else {
if (f < 0.5) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
}
}
midmean <- function(x,def) {
x <-sort(x[!is.na(x)])
n<-length(x)
if (def==1) {
qvalue1 <- q1(x,n,0.25,i,f)
qvalue3 <- q1(x,n,0.75,i,f)
}
if (def==2) {
qvalue1 <- q2(x,n,0.25,i,f)
qvalue3 <- q2(x,n,0.75,i,f)
}
if (def==3) {
qvalue1 <- q3(x,n,0.25,i,f)
qvalue3 <- q3(x,n,0.75,i,f)
}
if (def==4) {
qvalue1 <- q4(x,n,0.25,i,f)
qvalue3 <- q4(x,n,0.75,i,f)
}
if (def==5) {
qvalue1 <- q5(x,n,0.25,i,f)
qvalue3 <- q5(x,n,0.75,i,f)
}
if (def==6) {
qvalue1 <- q6(x,n,0.25,i,f)
qvalue3 <- q6(x,n,0.75,i,f)
}
if (def==7) {
qvalue1 <- q7(x,n,0.25,i,f)
qvalue3 <- q7(x,n,0.75,i,f)
}
if (def==8) {
qvalue1 <- q8(x,n,0.25,i,f)
qvalue3 <- q8(x,n,0.75,i,f)
}
midm <- 0
myn <- 0
roundno4 <- round(n/4)
round3no4 <- round(3*n/4)
for (i in 1:n) {
if ((x[i]>=qvalue1) & (x[i]<=qvalue3)){
midm = midm + x[i]
myn = myn + 1
}
}
midm = midm / myn
return(midm)
}
(arm <- mean(x))
sqrtn <- sqrt(length(x))
(armse <- sd(x) / sqrtn)
(armose <- arm / armse)
(geo <- geomean(x))
(har <- harmean(x))
(qua <- quamean(x))
(win <- winmean(x))
(tri <- trimean(x))
(midr <- midrange(x))
midm <- array(NA,dim=8)
for (j in 1:8) midm[j] <- midmean(x,j)
midm
bitmap(file='test1.png')
lb <- win[,1] - 2*win[,2]
ub <- win[,1] + 2*win[,2]
if ((ylimmin == '') | (ylimmax == '')) plot(win[,1],type='b',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(win[,1],type='l',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(ylimmin,ylimmax))
lines(ub,lty=3)
lines(lb,lty=3)
grid()
dev.off()
bitmap(file='test2.png')
lb <- tri[,1] - 2*tri[,2]
ub <- tri[,1] + 2*tri[,2]
if ((ylimmin == '') | (ylimmax == '')) plot(tri[,1],type='b',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(tri[,1],type='l',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(ylimmin,ylimmax))
lines(ub,lty=3)
lines(lb,lty=3)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Central Tendency - Ungrouped Data',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Measure',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.element(a,'S.E.',header=TRUE)
a<-table.element(a,'Value/S.E.',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm', 'Arithmetic Mean', 'click to view the definition of the Arithmetic Mean'),header=TRUE)
a<-table.element(a,arm)
a<-table.element(a,hyperlink('arithmetic_mean_standard_error.htm', armse, 'click to view the definition of the Standard Error of the Arithmetic Mean'))
a<-table.element(a,armose)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('geometric_mean.htm', 'Geometric Mean', 'click to view the definition of the Geometric Mean'),header=TRUE)
a<-table.element(a,geo)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('harmonic_mean.htm', 'Harmonic Mean', 'click to view the definition of the Harmonic Mean'),header=TRUE)
a<-table.element(a,har)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('quadratic_mean.htm', 'Quadratic Mean', 'click to view the definition of the Quadratic Mean'),header=TRUE)
a<-table.element(a,qua)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
for (j in 1:length(win[,1])) {
a<-table.row.start(a)
mylabel <- paste('Winsorized Mean (',j)
mylabel <- paste(mylabel,'/')
mylabel <- paste(mylabel,length(win[,1]))
mylabel <- paste(mylabel,')')
a<-table.element(a,hyperlink('winsorized_mean.htm', mylabel, 'click to view the definition of the Winsorized Mean'),header=TRUE)
a<-table.element(a,win[j,1])
a<-table.element(a,win[j,2])
a<-table.element(a,win[j,1]/win[j,2])
a<-table.row.end(a)
}
for (j in 1:length(tri[,1])) {
a<-table.row.start(a)
mylabel <- paste('Trimmed Mean (',j)
mylabel <- paste(mylabel,'/')
mylabel <- paste(mylabel,length(tri[,1]))
mylabel <- paste(mylabel,')')
a<-table.element(a,hyperlink('arithmetic_mean.htm', mylabel, 'click to view the definition of the Trimmed Mean'),header=TRUE)
a<-table.element(a,tri[j,1])
a<-table.element(a,tri[j,2])
a<-table.element(a,tri[j,1]/tri[j,2])
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,hyperlink('median_1.htm', 'Median', 'click to view the definition of the Median'),header=TRUE)
a<-table.element(a,median(x))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('midrange.htm', 'Midrange', 'click to view the definition of the Midrange'),header=TRUE)
a<-table.element(a,midr)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_1.htm','Weighted Average at Xnp',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[1])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_2.htm','Weighted Average at X(n+1)p',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[2])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_3.htm','Empirical Distribution Function',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[3])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_4.htm','Empirical Distribution Function - Averaging',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[4])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_5.htm','Empirical Distribution Function - Interpolation',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[5])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_6.htm','Closest Observation',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[6])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_7.htm','True Basic - Statistics Graphics Toolkit',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[7])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_8.htm','MS Excel (old versions)',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[8])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of observations',header=TRUE)
a<-table.element(a,length(x))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')