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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 computationThu, 10 Dec 2009 11:31:24 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/10/t1260469923fr5tgu0ljcedj7s.htm/, Retrieved Fri, 29 Mar 2024 06:52:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65696, Retrieved Fri, 29 Mar 2024 06:52:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [Central Tendency] [2009-12-10 18:31:24] [51118f1042b56b16d340924f16263174] [Current]
-    D    [Central Tendency] [Central Tendency] [2009-12-11 11:40:13] [830e13ac5e5ac1e5b21c6af0c149b21d]
-    D    [Central Tendency] [Central Tendency] [2009-12-11 11:40:13] [023d83ebdf42a2acf423907b4076e8a1]
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Dataseries X:
193.230
199.068
195.076
191.563
191.067
186.665
185.508
184.371
183.046
175.714
175.768
171.029
170.465
170.102
156.389
124.291
99.360
86.675
85.056
128.236
164.257
162.401
152.779
156.005
153.387
153.190
148.840
144.211
145.953
145.542
150.271
147.489
143.824
134.754
131.736
126.304
125.511
125.495
130.133
126.257
110.323
98.417
105.749
120.665
124.075
127.245
146.731
144.979
148.210
144.670
142.970
142.524
146.142
146.522
148.128
148.798
150.181
152.388
155.694
160.662
155.520
158.262
154.338
158.196
160.371
154.856
150.636
145.899
141.242
140.834
141.119
139.104
134.437
129.425
123.155
119.273
120.472
121.523
121.983
123.658
124.794
124.827
120.382
117.395
115.790
114.283
117.271
117.448
118.764
120.550
123.554
125.412
124.182
119.828
115.361
114.226
115.214
115.864
114.276
113.469
114.883
114.172
111.225
112.149
115.618
118.002
121.382
120.663




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65696&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65696&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65696&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'Gwilym Jenkins' @ 72.249.127.135







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean138.7164629629632.3410130581346359.2548864607766
Geometric Mean136.653107638439
Harmonic Mean134.631268295658
Quadratic Mean140.814252495119
Winsorized Mean ( 1 / 36 )138.6944907407412.3292082581453059.5457663589
Winsorized Mean ( 2 / 36 )138.877752.2807664315047160.8908251549356
Winsorized Mean ( 3 / 36 )138.8576388888892.2662723982301861.2713807031
Winsorized Mean ( 4 / 36 )139.0758981481482.226424224110962.4660370840542
Winsorized Mean ( 5 / 36 )139.0838611111112.1550963821802564.5371883416203
Winsorized Mean ( 6 / 36 )139.0696944444442.1357552371299665.1149963379357
Winsorized Mean ( 7 / 36 )139.0558888888892.1136725972285965.7887551133588
Winsorized Mean ( 8 / 36 )139.0555185185192.0827206337867566.7662845715852
Winsorized Mean ( 9 / 36 )138.5076018518521.9621020051107570.5914379023498
Winsorized Mean ( 10 / 36 )138.5076018518521.9606357871044370.6442281441814
Winsorized Mean ( 11 / 36 )138.0355185185191.8784950512978073.4819708059136
Winsorized Mean ( 12 / 36 )137.9736296296301.8681665466535473.855101343498
Winsorized Mean ( 13 / 36 )138.0021574074071.8525858773284474.4916384693682
Winsorized Mean ( 14 / 36 )137.2873796296301.7308007242490079.3201537913611
Winsorized Mean ( 15 / 36 )137.0500185185181.6915298665321581.0213412308753
Winsorized Mean ( 16 / 36 )136.8304629629631.6515411487077982.8501688074942
Winsorized Mean ( 17 / 36 )136.8117314814821.6421370845114883.3132220031322
Winsorized Mean ( 18 / 36 )136.4725648148151.5946294509666385.5826190417394
Winsorized Mean ( 19 / 36 )136.7084814814811.5638115663899787.4200475426015
Winsorized Mean ( 20 / 36 )136.3968148148151.5190571036347489.7904459868227
Winsorized Mean ( 21 / 36 )136.3324537037041.5087102787904190.363574518102
Winsorized Mean ( 22 / 36 )136.3819537037041.4878919854260191.6611925056207
Winsorized Mean ( 23 / 36 )136.5071759259261.4648430855511793.1889410356625
Winsorized Mean ( 24 / 36 )136.4727314814811.4343139656989795.148436636030
Winsorized Mean ( 25 / 36 )136.4812962962961.4057021269663097.0911928481193
Winsorized Mean ( 26 / 36 )136.3857222222221.3640779173223199.9838209315404
Winsorized Mean ( 27 / 36 )136.3589722222221.35588724867820100.568076257929
Winsorized Mean ( 28 / 36 )136.2726388888891.34136398064310101.592588481133
Winsorized Mean ( 29 / 36 )136.1979907407411.32601320982219102.712393611074
Winsorized Mean ( 30 / 36 )135.7118796296301.27147012125667106.736192507219
Winsorized Mean ( 31 / 36 )135.8129166666671.23740403805568109.756322502445
Winsorized Mean ( 32 / 36 )135.8280277777781.22994657545771110.434087535250
Winsorized Mean ( 33 / 36 )135.5588333333331.17060707776448115.802164456593
Winsorized Mean ( 34 / 36 )135.9145740740741.12972412296649120.307755947693
Winsorized Mean ( 35 / 36 )135.8533240740741.09592149243863123.962642407692
Winsorized Mean ( 36 / 36 )135.8606574074071.08941054391276124.710246441572
Trimmed Mean ( 1 / 36 )138.6533396226422.2592260297165861.3720529946425
Trimmed Mean ( 2 / 36 )138.6106057692312.1803317419877163.5731724213975
Trimmed Mean ( 3 / 36 )138.4691764705882.1204818667456265.3008066902744
Trimmed Mean ( 4 / 36 )138.329332.0590259999562867.1819248532739
Trimmed Mean ( 5 / 36 )138.1236428571432.0026554019613268.9702495605936
Trimmed Mean ( 6 / 36 )137.907593751.9587695274711670.4052170589174
Trimmed Mean ( 7 / 36 )137.6850638297871.9135096775717471.9542030247323
Trimmed Mean ( 8 / 36 )137.4551739130431.8666891706368173.6358125794191
Trimmed Mean ( 9 / 36 )137.2151222222221.8193517273529575.4197883560768
Trimmed Mean ( 10 / 36 )137.0388751.7886419871674276.6161568291378
Trimmed Mean ( 11 / 36 )136.8544302325581.7534123222925578.0503413216714
Trimmed Mean ( 12 / 36 )136.7163809523811.7270325820781779.1625950611004
Trimmed Mean ( 13 / 36 )136.5783902439021.6980420534673580.4328667626422
Trimmed Mean ( 14 / 36 )136.43053751.6666364190028881.8598081407724
Trimmed Mean ( 15 / 36 )136.3457948717951.6489183895100482.6880188487124
Trimmed Mean ( 16 / 36 )136.2790789473681.6335480228860183.425205159627
Trimmed Mean ( 17 / 36 )136.2287837837841.6206699438016584.0570804097398
Trimmed Mean ( 18 / 36 )136.1773472222221.6061766978043084.7835405708359
Trimmed Mean ( 19 / 36 )136.1520428571431.5949939243815285.362107513944
Trimmed Mean ( 20 / 36 )136.1055294117651.5849496682988585.8737233958025
Trimmed Mean ( 21 / 36 )136.0816969696971.5780715871758286.232904815956
Trimmed Mean ( 22 / 36 )136.0615468751.5700611470326586.6600304912652
Trimmed Mean ( 23 / 36 )136.0361774193551.5620119005411487.0903591529787
Trimmed Mean ( 24 / 36 )135.9993166666671.5540726188944887.5115583488063
Trimmed Mean ( 25 / 36 )135.9625862068971.5472180223263087.8755186696131
Trimmed Mean ( 26 / 36 )135.9225714285711.5412202999228488.1915268280442
Trimmed Mean ( 27 / 36 )135.8869444444441.5379572829128888.3554738185419
Trimmed Mean ( 28 / 36 )135.8506346153851.5330004727637488.6174773126253
Trimmed Mean ( 29 / 36 )135.818081.5268625838868088.952392594663
Trimmed Mean ( 30 / 36 )135.7886041666671.5192948604520789.37607024239
Trimmed Mean ( 31 / 36 )135.7946086956521.5161381912460589.5661157272533
Trimmed Mean ( 32 / 36 )135.7931590909091.5147212768201289.6489414712535
Trimmed Mean ( 33 / 36 )135.7903571428571.5107666746407089.8817530345326
Trimmed Mean ( 34 / 36 )135.80931.5126326206743789.7834002412648
Trimmed Mean ( 35 / 36 )135.80051.5181521474296989.4511793366148
Trimmed Mean ( 36 / 36 )135.7959722222221.5266302358338488.9514494307465
Median136.929
Midrange142.062
Midmean - Weighted Average at Xnp135.605036363636
Midmean - Weighted Average at X(n+1)p135.886944444444
Midmean - Empirical Distribution Function135.605036363636
Midmean - Empirical Distribution Function - Averaging135.886944444444
Midmean - Empirical Distribution Function - Interpolation135.886944444444
Midmean - Closest Observation135.605036363636
Midmean - True Basic - Statistics Graphics Toolkit135.886944444444
Midmean - MS Excel (old versions)135.922571428571
Number of observations108

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 138.716462962963 & 2.34101305813463 & 59.2548864607766 \tabularnewline
Geometric Mean & 136.653107638439 &  &  \tabularnewline
Harmonic Mean & 134.631268295658 &  &  \tabularnewline
Quadratic Mean & 140.814252495119 &  &  \tabularnewline
Winsorized Mean ( 1 / 36 ) & 138.694490740741 & 2.32920825814530 & 59.5457663589 \tabularnewline
Winsorized Mean ( 2 / 36 ) & 138.87775 & 2.28076643150471 & 60.8908251549356 \tabularnewline
Winsorized Mean ( 3 / 36 ) & 138.857638888889 & 2.26627239823018 & 61.2713807031 \tabularnewline
Winsorized Mean ( 4 / 36 ) & 139.075898148148 & 2.2264242241109 & 62.4660370840542 \tabularnewline
Winsorized Mean ( 5 / 36 ) & 139.083861111111 & 2.15509638218025 & 64.5371883416203 \tabularnewline
Winsorized Mean ( 6 / 36 ) & 139.069694444444 & 2.13575523712996 & 65.1149963379357 \tabularnewline
Winsorized Mean ( 7 / 36 ) & 139.055888888889 & 2.11367259722859 & 65.7887551133588 \tabularnewline
Winsorized Mean ( 8 / 36 ) & 139.055518518519 & 2.08272063378675 & 66.7662845715852 \tabularnewline
Winsorized Mean ( 9 / 36 ) & 138.507601851852 & 1.96210200511075 & 70.5914379023498 \tabularnewline
Winsorized Mean ( 10 / 36 ) & 138.507601851852 & 1.96063578710443 & 70.6442281441814 \tabularnewline
Winsorized Mean ( 11 / 36 ) & 138.035518518519 & 1.87849505129780 & 73.4819708059136 \tabularnewline
Winsorized Mean ( 12 / 36 ) & 137.973629629630 & 1.86816654665354 & 73.855101343498 \tabularnewline
Winsorized Mean ( 13 / 36 ) & 138.002157407407 & 1.85258587732844 & 74.4916384693682 \tabularnewline
Winsorized Mean ( 14 / 36 ) & 137.287379629630 & 1.73080072424900 & 79.3201537913611 \tabularnewline
Winsorized Mean ( 15 / 36 ) & 137.050018518518 & 1.69152986653215 & 81.0213412308753 \tabularnewline
Winsorized Mean ( 16 / 36 ) & 136.830462962963 & 1.65154114870779 & 82.8501688074942 \tabularnewline
Winsorized Mean ( 17 / 36 ) & 136.811731481482 & 1.64213708451148 & 83.3132220031322 \tabularnewline
Winsorized Mean ( 18 / 36 ) & 136.472564814815 & 1.59462945096663 & 85.5826190417394 \tabularnewline
Winsorized Mean ( 19 / 36 ) & 136.708481481481 & 1.56381156638997 & 87.4200475426015 \tabularnewline
Winsorized Mean ( 20 / 36 ) & 136.396814814815 & 1.51905710363474 & 89.7904459868227 \tabularnewline
Winsorized Mean ( 21 / 36 ) & 136.332453703704 & 1.50871027879041 & 90.363574518102 \tabularnewline
Winsorized Mean ( 22 / 36 ) & 136.381953703704 & 1.48789198542601 & 91.6611925056207 \tabularnewline
Winsorized Mean ( 23 / 36 ) & 136.507175925926 & 1.46484308555117 & 93.1889410356625 \tabularnewline
Winsorized Mean ( 24 / 36 ) & 136.472731481481 & 1.43431396569897 & 95.148436636030 \tabularnewline
Winsorized Mean ( 25 / 36 ) & 136.481296296296 & 1.40570212696630 & 97.0911928481193 \tabularnewline
Winsorized Mean ( 26 / 36 ) & 136.385722222222 & 1.36407791732231 & 99.9838209315404 \tabularnewline
Winsorized Mean ( 27 / 36 ) & 136.358972222222 & 1.35588724867820 & 100.568076257929 \tabularnewline
Winsorized Mean ( 28 / 36 ) & 136.272638888889 & 1.34136398064310 & 101.592588481133 \tabularnewline
Winsorized Mean ( 29 / 36 ) & 136.197990740741 & 1.32601320982219 & 102.712393611074 \tabularnewline
Winsorized Mean ( 30 / 36 ) & 135.711879629630 & 1.27147012125667 & 106.736192507219 \tabularnewline
Winsorized Mean ( 31 / 36 ) & 135.812916666667 & 1.23740403805568 & 109.756322502445 \tabularnewline
Winsorized Mean ( 32 / 36 ) & 135.828027777778 & 1.22994657545771 & 110.434087535250 \tabularnewline
Winsorized Mean ( 33 / 36 ) & 135.558833333333 & 1.17060707776448 & 115.802164456593 \tabularnewline
Winsorized Mean ( 34 / 36 ) & 135.914574074074 & 1.12972412296649 & 120.307755947693 \tabularnewline
Winsorized Mean ( 35 / 36 ) & 135.853324074074 & 1.09592149243863 & 123.962642407692 \tabularnewline
Winsorized Mean ( 36 / 36 ) & 135.860657407407 & 1.08941054391276 & 124.710246441572 \tabularnewline
Trimmed Mean ( 1 / 36 ) & 138.653339622642 & 2.25922602971658 & 61.3720529946425 \tabularnewline
Trimmed Mean ( 2 / 36 ) & 138.610605769231 & 2.18033174198771 & 63.5731724213975 \tabularnewline
Trimmed Mean ( 3 / 36 ) & 138.469176470588 & 2.12048186674562 & 65.3008066902744 \tabularnewline
Trimmed Mean ( 4 / 36 ) & 138.32933 & 2.05902599995628 & 67.1819248532739 \tabularnewline
Trimmed Mean ( 5 / 36 ) & 138.123642857143 & 2.00265540196132 & 68.9702495605936 \tabularnewline
Trimmed Mean ( 6 / 36 ) & 137.90759375 & 1.95876952747116 & 70.4052170589174 \tabularnewline
Trimmed Mean ( 7 / 36 ) & 137.685063829787 & 1.91350967757174 & 71.9542030247323 \tabularnewline
Trimmed Mean ( 8 / 36 ) & 137.455173913043 & 1.86668917063681 & 73.6358125794191 \tabularnewline
Trimmed Mean ( 9 / 36 ) & 137.215122222222 & 1.81935172735295 & 75.4197883560768 \tabularnewline
Trimmed Mean ( 10 / 36 ) & 137.038875 & 1.78864198716742 & 76.6161568291378 \tabularnewline
Trimmed Mean ( 11 / 36 ) & 136.854430232558 & 1.75341232229255 & 78.0503413216714 \tabularnewline
Trimmed Mean ( 12 / 36 ) & 136.716380952381 & 1.72703258207817 & 79.1625950611004 \tabularnewline
Trimmed Mean ( 13 / 36 ) & 136.578390243902 & 1.69804205346735 & 80.4328667626422 \tabularnewline
Trimmed Mean ( 14 / 36 ) & 136.4305375 & 1.66663641900288 & 81.8598081407724 \tabularnewline
Trimmed Mean ( 15 / 36 ) & 136.345794871795 & 1.64891838951004 & 82.6880188487124 \tabularnewline
Trimmed Mean ( 16 / 36 ) & 136.279078947368 & 1.63354802288601 & 83.425205159627 \tabularnewline
Trimmed Mean ( 17 / 36 ) & 136.228783783784 & 1.62066994380165 & 84.0570804097398 \tabularnewline
Trimmed Mean ( 18 / 36 ) & 136.177347222222 & 1.60617669780430 & 84.7835405708359 \tabularnewline
Trimmed Mean ( 19 / 36 ) & 136.152042857143 & 1.59499392438152 & 85.362107513944 \tabularnewline
Trimmed Mean ( 20 / 36 ) & 136.105529411765 & 1.58494966829885 & 85.8737233958025 \tabularnewline
Trimmed Mean ( 21 / 36 ) & 136.081696969697 & 1.57807158717582 & 86.232904815956 \tabularnewline
Trimmed Mean ( 22 / 36 ) & 136.061546875 & 1.57006114703265 & 86.6600304912652 \tabularnewline
Trimmed Mean ( 23 / 36 ) & 136.036177419355 & 1.56201190054114 & 87.0903591529787 \tabularnewline
Trimmed Mean ( 24 / 36 ) & 135.999316666667 & 1.55407261889448 & 87.5115583488063 \tabularnewline
Trimmed Mean ( 25 / 36 ) & 135.962586206897 & 1.54721802232630 & 87.8755186696131 \tabularnewline
Trimmed Mean ( 26 / 36 ) & 135.922571428571 & 1.54122029992284 & 88.1915268280442 \tabularnewline
Trimmed Mean ( 27 / 36 ) & 135.886944444444 & 1.53795728291288 & 88.3554738185419 \tabularnewline
Trimmed Mean ( 28 / 36 ) & 135.850634615385 & 1.53300047276374 & 88.6174773126253 \tabularnewline
Trimmed Mean ( 29 / 36 ) & 135.81808 & 1.52686258388680 & 88.952392594663 \tabularnewline
Trimmed Mean ( 30 / 36 ) & 135.788604166667 & 1.51929486045207 & 89.37607024239 \tabularnewline
Trimmed Mean ( 31 / 36 ) & 135.794608695652 & 1.51613819124605 & 89.5661157272533 \tabularnewline
Trimmed Mean ( 32 / 36 ) & 135.793159090909 & 1.51472127682012 & 89.6489414712535 \tabularnewline
Trimmed Mean ( 33 / 36 ) & 135.790357142857 & 1.51076667464070 & 89.8817530345326 \tabularnewline
Trimmed Mean ( 34 / 36 ) & 135.8093 & 1.51263262067437 & 89.7834002412648 \tabularnewline
Trimmed Mean ( 35 / 36 ) & 135.8005 & 1.51815214742969 & 89.4511793366148 \tabularnewline
Trimmed Mean ( 36 / 36 ) & 135.795972222222 & 1.52663023583384 & 88.9514494307465 \tabularnewline
Median & 136.929 &  &  \tabularnewline
Midrange & 142.062 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 135.605036363636 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 135.886944444444 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 135.605036363636 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 135.886944444444 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 135.886944444444 &  &  \tabularnewline
Midmean - Closest Observation & 135.605036363636 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 135.886944444444 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 135.922571428571 &  &  \tabularnewline
Number of observations & 108 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65696&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]138.716462962963[/C][C]2.34101305813463[/C][C]59.2548864607766[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]136.653107638439[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]134.631268295658[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]140.814252495119[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 36 )[/C][C]138.694490740741[/C][C]2.32920825814530[/C][C]59.5457663589[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 36 )[/C][C]138.87775[/C][C]2.28076643150471[/C][C]60.8908251549356[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 36 )[/C][C]138.857638888889[/C][C]2.26627239823018[/C][C]61.2713807031[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 36 )[/C][C]139.075898148148[/C][C]2.2264242241109[/C][C]62.4660370840542[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 36 )[/C][C]139.083861111111[/C][C]2.15509638218025[/C][C]64.5371883416203[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 36 )[/C][C]139.069694444444[/C][C]2.13575523712996[/C][C]65.1149963379357[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 36 )[/C][C]139.055888888889[/C][C]2.11367259722859[/C][C]65.7887551133588[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 36 )[/C][C]139.055518518519[/C][C]2.08272063378675[/C][C]66.7662845715852[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 36 )[/C][C]138.507601851852[/C][C]1.96210200511075[/C][C]70.5914379023498[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 36 )[/C][C]138.507601851852[/C][C]1.96063578710443[/C][C]70.6442281441814[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 36 )[/C][C]138.035518518519[/C][C]1.87849505129780[/C][C]73.4819708059136[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 36 )[/C][C]137.973629629630[/C][C]1.86816654665354[/C][C]73.855101343498[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 36 )[/C][C]138.002157407407[/C][C]1.85258587732844[/C][C]74.4916384693682[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 36 )[/C][C]137.287379629630[/C][C]1.73080072424900[/C][C]79.3201537913611[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 36 )[/C][C]137.050018518518[/C][C]1.69152986653215[/C][C]81.0213412308753[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 36 )[/C][C]136.830462962963[/C][C]1.65154114870779[/C][C]82.8501688074942[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 36 )[/C][C]136.811731481482[/C][C]1.64213708451148[/C][C]83.3132220031322[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 36 )[/C][C]136.472564814815[/C][C]1.59462945096663[/C][C]85.5826190417394[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 36 )[/C][C]136.708481481481[/C][C]1.56381156638997[/C][C]87.4200475426015[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 36 )[/C][C]136.396814814815[/C][C]1.51905710363474[/C][C]89.7904459868227[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 36 )[/C][C]136.332453703704[/C][C]1.50871027879041[/C][C]90.363574518102[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 36 )[/C][C]136.381953703704[/C][C]1.48789198542601[/C][C]91.6611925056207[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 36 )[/C][C]136.507175925926[/C][C]1.46484308555117[/C][C]93.1889410356625[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 36 )[/C][C]136.472731481481[/C][C]1.43431396569897[/C][C]95.148436636030[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 36 )[/C][C]136.481296296296[/C][C]1.40570212696630[/C][C]97.0911928481193[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 36 )[/C][C]136.385722222222[/C][C]1.36407791732231[/C][C]99.9838209315404[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 36 )[/C][C]136.358972222222[/C][C]1.35588724867820[/C][C]100.568076257929[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 36 )[/C][C]136.272638888889[/C][C]1.34136398064310[/C][C]101.592588481133[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 36 )[/C][C]136.197990740741[/C][C]1.32601320982219[/C][C]102.712393611074[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 36 )[/C][C]135.711879629630[/C][C]1.27147012125667[/C][C]106.736192507219[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 36 )[/C][C]135.812916666667[/C][C]1.23740403805568[/C][C]109.756322502445[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 36 )[/C][C]135.828027777778[/C][C]1.22994657545771[/C][C]110.434087535250[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 36 )[/C][C]135.558833333333[/C][C]1.17060707776448[/C][C]115.802164456593[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 36 )[/C][C]135.914574074074[/C][C]1.12972412296649[/C][C]120.307755947693[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 36 )[/C][C]135.853324074074[/C][C]1.09592149243863[/C][C]123.962642407692[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 36 )[/C][C]135.860657407407[/C][C]1.08941054391276[/C][C]124.710246441572[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 36 )[/C][C]138.653339622642[/C][C]2.25922602971658[/C][C]61.3720529946425[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 36 )[/C][C]138.610605769231[/C][C]2.18033174198771[/C][C]63.5731724213975[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 36 )[/C][C]138.469176470588[/C][C]2.12048186674562[/C][C]65.3008066902744[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 36 )[/C][C]138.32933[/C][C]2.05902599995628[/C][C]67.1819248532739[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 36 )[/C][C]138.123642857143[/C][C]2.00265540196132[/C][C]68.9702495605936[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 36 )[/C][C]137.90759375[/C][C]1.95876952747116[/C][C]70.4052170589174[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 36 )[/C][C]137.685063829787[/C][C]1.91350967757174[/C][C]71.9542030247323[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 36 )[/C][C]137.455173913043[/C][C]1.86668917063681[/C][C]73.6358125794191[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 36 )[/C][C]137.215122222222[/C][C]1.81935172735295[/C][C]75.4197883560768[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 36 )[/C][C]137.038875[/C][C]1.78864198716742[/C][C]76.6161568291378[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 36 )[/C][C]136.854430232558[/C][C]1.75341232229255[/C][C]78.0503413216714[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 36 )[/C][C]136.716380952381[/C][C]1.72703258207817[/C][C]79.1625950611004[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 36 )[/C][C]136.578390243902[/C][C]1.69804205346735[/C][C]80.4328667626422[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 36 )[/C][C]136.4305375[/C][C]1.66663641900288[/C][C]81.8598081407724[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 36 )[/C][C]136.345794871795[/C][C]1.64891838951004[/C][C]82.6880188487124[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 36 )[/C][C]136.279078947368[/C][C]1.63354802288601[/C][C]83.425205159627[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 36 )[/C][C]136.228783783784[/C][C]1.62066994380165[/C][C]84.0570804097398[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 36 )[/C][C]136.177347222222[/C][C]1.60617669780430[/C][C]84.7835405708359[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 36 )[/C][C]136.152042857143[/C][C]1.59499392438152[/C][C]85.362107513944[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 36 )[/C][C]136.105529411765[/C][C]1.58494966829885[/C][C]85.8737233958025[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 36 )[/C][C]136.081696969697[/C][C]1.57807158717582[/C][C]86.232904815956[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 36 )[/C][C]136.061546875[/C][C]1.57006114703265[/C][C]86.6600304912652[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 36 )[/C][C]136.036177419355[/C][C]1.56201190054114[/C][C]87.0903591529787[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 36 )[/C][C]135.999316666667[/C][C]1.55407261889448[/C][C]87.5115583488063[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 36 )[/C][C]135.962586206897[/C][C]1.54721802232630[/C][C]87.8755186696131[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 36 )[/C][C]135.922571428571[/C][C]1.54122029992284[/C][C]88.1915268280442[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 36 )[/C][C]135.886944444444[/C][C]1.53795728291288[/C][C]88.3554738185419[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 36 )[/C][C]135.850634615385[/C][C]1.53300047276374[/C][C]88.6174773126253[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 36 )[/C][C]135.81808[/C][C]1.52686258388680[/C][C]88.952392594663[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 36 )[/C][C]135.788604166667[/C][C]1.51929486045207[/C][C]89.37607024239[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 36 )[/C][C]135.794608695652[/C][C]1.51613819124605[/C][C]89.5661157272533[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 36 )[/C][C]135.793159090909[/C][C]1.51472127682012[/C][C]89.6489414712535[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 36 )[/C][C]135.790357142857[/C][C]1.51076667464070[/C][C]89.8817530345326[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 36 )[/C][C]135.8093[/C][C]1.51263262067437[/C][C]89.7834002412648[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 36 )[/C][C]135.8005[/C][C]1.51815214742969[/C][C]89.4511793366148[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 36 )[/C][C]135.795972222222[/C][C]1.52663023583384[/C][C]88.9514494307465[/C][/ROW]
[ROW][C]Median[/C][C]136.929[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]142.062[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]135.605036363636[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]135.886944444444[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]135.605036363636[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]135.886944444444[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]135.886944444444[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]135.605036363636[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]135.886944444444[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]135.922571428571[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]108[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65696&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65696&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 Mean138.7164629629632.3410130581346359.2548864607766
Geometric Mean136.653107638439
Harmonic Mean134.631268295658
Quadratic Mean140.814252495119
Winsorized Mean ( 1 / 36 )138.6944907407412.3292082581453059.5457663589
Winsorized Mean ( 2 / 36 )138.877752.2807664315047160.8908251549356
Winsorized Mean ( 3 / 36 )138.8576388888892.2662723982301861.2713807031
Winsorized Mean ( 4 / 36 )139.0758981481482.226424224110962.4660370840542
Winsorized Mean ( 5 / 36 )139.0838611111112.1550963821802564.5371883416203
Winsorized Mean ( 6 / 36 )139.0696944444442.1357552371299665.1149963379357
Winsorized Mean ( 7 / 36 )139.0558888888892.1136725972285965.7887551133588
Winsorized Mean ( 8 / 36 )139.0555185185192.0827206337867566.7662845715852
Winsorized Mean ( 9 / 36 )138.5076018518521.9621020051107570.5914379023498
Winsorized Mean ( 10 / 36 )138.5076018518521.9606357871044370.6442281441814
Winsorized Mean ( 11 / 36 )138.0355185185191.8784950512978073.4819708059136
Winsorized Mean ( 12 / 36 )137.9736296296301.8681665466535473.855101343498
Winsorized Mean ( 13 / 36 )138.0021574074071.8525858773284474.4916384693682
Winsorized Mean ( 14 / 36 )137.2873796296301.7308007242490079.3201537913611
Winsorized Mean ( 15 / 36 )137.0500185185181.6915298665321581.0213412308753
Winsorized Mean ( 16 / 36 )136.8304629629631.6515411487077982.8501688074942
Winsorized Mean ( 17 / 36 )136.8117314814821.6421370845114883.3132220031322
Winsorized Mean ( 18 / 36 )136.4725648148151.5946294509666385.5826190417394
Winsorized Mean ( 19 / 36 )136.7084814814811.5638115663899787.4200475426015
Winsorized Mean ( 20 / 36 )136.3968148148151.5190571036347489.7904459868227
Winsorized Mean ( 21 / 36 )136.3324537037041.5087102787904190.363574518102
Winsorized Mean ( 22 / 36 )136.3819537037041.4878919854260191.6611925056207
Winsorized Mean ( 23 / 36 )136.5071759259261.4648430855511793.1889410356625
Winsorized Mean ( 24 / 36 )136.4727314814811.4343139656989795.148436636030
Winsorized Mean ( 25 / 36 )136.4812962962961.4057021269663097.0911928481193
Winsorized Mean ( 26 / 36 )136.3857222222221.3640779173223199.9838209315404
Winsorized Mean ( 27 / 36 )136.3589722222221.35588724867820100.568076257929
Winsorized Mean ( 28 / 36 )136.2726388888891.34136398064310101.592588481133
Winsorized Mean ( 29 / 36 )136.1979907407411.32601320982219102.712393611074
Winsorized Mean ( 30 / 36 )135.7118796296301.27147012125667106.736192507219
Winsorized Mean ( 31 / 36 )135.8129166666671.23740403805568109.756322502445
Winsorized Mean ( 32 / 36 )135.8280277777781.22994657545771110.434087535250
Winsorized Mean ( 33 / 36 )135.5588333333331.17060707776448115.802164456593
Winsorized Mean ( 34 / 36 )135.9145740740741.12972412296649120.307755947693
Winsorized Mean ( 35 / 36 )135.8533240740741.09592149243863123.962642407692
Winsorized Mean ( 36 / 36 )135.8606574074071.08941054391276124.710246441572
Trimmed Mean ( 1 / 36 )138.6533396226422.2592260297165861.3720529946425
Trimmed Mean ( 2 / 36 )138.6106057692312.1803317419877163.5731724213975
Trimmed Mean ( 3 / 36 )138.4691764705882.1204818667456265.3008066902744
Trimmed Mean ( 4 / 36 )138.329332.0590259999562867.1819248532739
Trimmed Mean ( 5 / 36 )138.1236428571432.0026554019613268.9702495605936
Trimmed Mean ( 6 / 36 )137.907593751.9587695274711670.4052170589174
Trimmed Mean ( 7 / 36 )137.6850638297871.9135096775717471.9542030247323
Trimmed Mean ( 8 / 36 )137.4551739130431.8666891706368173.6358125794191
Trimmed Mean ( 9 / 36 )137.2151222222221.8193517273529575.4197883560768
Trimmed Mean ( 10 / 36 )137.0388751.7886419871674276.6161568291378
Trimmed Mean ( 11 / 36 )136.8544302325581.7534123222925578.0503413216714
Trimmed Mean ( 12 / 36 )136.7163809523811.7270325820781779.1625950611004
Trimmed Mean ( 13 / 36 )136.5783902439021.6980420534673580.4328667626422
Trimmed Mean ( 14 / 36 )136.43053751.6666364190028881.8598081407724
Trimmed Mean ( 15 / 36 )136.3457948717951.6489183895100482.6880188487124
Trimmed Mean ( 16 / 36 )136.2790789473681.6335480228860183.425205159627
Trimmed Mean ( 17 / 36 )136.2287837837841.6206699438016584.0570804097398
Trimmed Mean ( 18 / 36 )136.1773472222221.6061766978043084.7835405708359
Trimmed Mean ( 19 / 36 )136.1520428571431.5949939243815285.362107513944
Trimmed Mean ( 20 / 36 )136.1055294117651.5849496682988585.8737233958025
Trimmed Mean ( 21 / 36 )136.0816969696971.5780715871758286.232904815956
Trimmed Mean ( 22 / 36 )136.0615468751.5700611470326586.6600304912652
Trimmed Mean ( 23 / 36 )136.0361774193551.5620119005411487.0903591529787
Trimmed Mean ( 24 / 36 )135.9993166666671.5540726188944887.5115583488063
Trimmed Mean ( 25 / 36 )135.9625862068971.5472180223263087.8755186696131
Trimmed Mean ( 26 / 36 )135.9225714285711.5412202999228488.1915268280442
Trimmed Mean ( 27 / 36 )135.8869444444441.5379572829128888.3554738185419
Trimmed Mean ( 28 / 36 )135.8506346153851.5330004727637488.6174773126253
Trimmed Mean ( 29 / 36 )135.818081.5268625838868088.952392594663
Trimmed Mean ( 30 / 36 )135.7886041666671.5192948604520789.37607024239
Trimmed Mean ( 31 / 36 )135.7946086956521.5161381912460589.5661157272533
Trimmed Mean ( 32 / 36 )135.7931590909091.5147212768201289.6489414712535
Trimmed Mean ( 33 / 36 )135.7903571428571.5107666746407089.8817530345326
Trimmed Mean ( 34 / 36 )135.80931.5126326206743789.7834002412648
Trimmed Mean ( 35 / 36 )135.80051.5181521474296989.4511793366148
Trimmed Mean ( 36 / 36 )135.7959722222221.5266302358338488.9514494307465
Median136.929
Midrange142.062
Midmean - Weighted Average at Xnp135.605036363636
Midmean - Weighted Average at X(n+1)p135.886944444444
Midmean - Empirical Distribution Function135.605036363636
Midmean - Empirical Distribution Function - Averaging135.886944444444
Midmean - Empirical Distribution Function - Interpolation135.886944444444
Midmean - Closest Observation135.605036363636
Midmean - True Basic - Statistics Graphics Toolkit135.886944444444
Midmean - MS Excel (old versions)135.922571428571
Number of observations108



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')