Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationMon, 21 Apr 2008 09:07:05 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Apr/21/t120879053774ljo2sgy8bpzfd.htm/, Retrieved Thu, 31 Oct 2024 23:38:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10516, Retrieved Thu, 31 Oct 2024 23:38:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact268
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [Centrummaten eige...] [2008-04-21 15:07:05] [303435f2616c8b7fa1931e576f2293ac] [Current]
Feedback Forum

Post a new message
Dataseries X:
20,18
20,19
20,3
20,47
20,47
20,46
20,46
20,46
20,52
20,64
20,65
20,66
20,66
20,66
20,67
20,71
20,73
20,73
20,74
20,74
20,75
20,75
20,77
20,78
20,78
20,8
20,84
20,85
20,86
20,86
20,86
20,86
20,9
20,92
20,95
20,95
20,95
20,96
21,1
21,18
21,19
21,19
21,19
21,19
21,19
21,21
21,22
21,22
21,22
21,23
21,41
21,42
21,43
21,44
21,44
21,44
21,48
21,53
21,54
21,54
21,54
21,54
21,54
21,54
21,54
21,54
21,54
21,54
21,57
21,6
21,61
21,6
21,6
21,71
21,75
21,84
21,85
21,92
21,92
21,93
22
22
21,99
22,01
22,01
22,06
22,03
22,05
22,05
22,06
22,06
22,13
22,06
22,25
22,28
22,18




Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10516&T=0

[TABLE]
[ROW][C]Summary of compuational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10516&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10516&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean21.27010416666670.0559057192708016380.463831681272
Geometric Mean21.2631244685508
Harmonic Mean21.2561460885451
Quadratic Mean21.2770827172884
Winsorized Mean ( 1 / 32 )21.26989583333330.0558258363895175381.004517064919
Winsorized Mean ( 2 / 32 )21.27072916666670.0551185414706552385.908781312566
Winsorized Mean ( 3 / 32 )21.27416666666670.0539914846004138394.028184705697
Winsorized Mean ( 4 / 32 )21.271250.053521853628116397.431115667224
Winsorized Mean ( 5 / 32 )21.271250.053521853628116397.431115667224
Winsorized Mean ( 6 / 32 )21.2718750.0534226183494949398.181063699232
Winsorized Mean ( 7 / 32 )21.2718750.0534226183494949398.181063699232
Winsorized Mean ( 8 / 32 )21.27520833333330.0526495320714172404.091119071567
Winsorized Mean ( 9 / 32 )21.28645833333330.0510488627222382416.982028554779
Winsorized Mean ( 10 / 32 )21.28541666666670.0505851541624362420.783864734625
Winsorized Mean ( 11 / 32 )21.28427083333330.0500818945100122424.98933080653
Winsorized Mean ( 12 / 32 )21.28427083333330.0500818945100122424.98933080653
Winsorized Mean ( 13 / 32 )21.28291666666670.0498761441118095426.715357525550
Winsorized Mean ( 14 / 32 )21.2843750.0496853724856228428.383122339657
Winsorized Mean ( 15 / 32 )21.28906250.0486499937174316437.596408000603
Winsorized Mean ( 16 / 32 )21.28239583333330.0467458002597294455.279313116557
Winsorized Mean ( 17 / 32 )21.2806250.0464884942613139457.761115694147
Winsorized Mean ( 18 / 32 )21.28250.0462558673376460460.103792771797
Winsorized Mean ( 19 / 32 )21.26864583333330.044292840247445480.18247903080
Winsorized Mean ( 20 / 32 )21.26864583333330.0437448292161552486.19793960651
Winsorized Mean ( 21 / 32 )21.24895833333330.0411262708881287516.676029079674
Winsorized Mean ( 22 / 32 )21.2443750.0393844669766533539.409991573416
Winsorized Mean ( 23 / 32 )21.22281250.0362344047291322585.708876926492
Winsorized Mean ( 24 / 32 )21.22031250.0359548489778768590.193342574098
Winsorized Mean ( 25 / 32 )21.22552083333330.0352885566759735601.484527356283
Winsorized Mean ( 26 / 32 )21.23635416666670.0339346378285388625.801703674204
Winsorized Mean ( 27 / 32 )21.23072916666670.0326515511008426650.221151855748
Winsorized Mean ( 28 / 32 )21.22489583333330.0313521994778349676.982673842028
Winsorized Mean ( 29 / 32 )21.22489583333330.0313521994778349676.982673842028
Winsorized Mean ( 30 / 32 )21.22489583333330.0313521994778349676.982673842028
Winsorized Mean ( 31 / 32 )21.22489583333330.0313521994778349676.982673842028
Winsorized Mean ( 32 / 32 )21.23822916666670.0297367819639523714.207381027718
Trimmed Mean ( 1 / 32 )21.27095744680850.0548451093983114387.83690433232
Trimmed Mean ( 2 / 32 )21.27206521739130.05372941400547395.910984907181
Trimmed Mean ( 3 / 32 )21.27277777777780.0528812836147962402.274232462573
Trimmed Mean ( 4 / 32 )21.27227272727270.0523780684062209406.129385343012
Trimmed Mean ( 5 / 32 )21.27255813953490.0519439311648308409.529230123763
Trimmed Mean ( 6 / 32 )21.27285714285710.0514328741745676413.604284890929
Trimmed Mean ( 7 / 32 )21.27304878048780.0508570594960411418.290970639853
Trimmed Mean ( 8 / 32 )21.273250.0501815611781706423.925631258639
Trimmed Mean ( 9 / 32 )21.27294871794870.0495471026777706429.347985416973
Trimmed Mean ( 10 / 32 )21.27105263157890.0490962459519496433.252119773004
Trimmed Mean ( 11 / 32 )21.26918918918920.0486347320586052437.325102635698
Trimmed Mean ( 12 / 32 )21.26736111111110.0481614204526186441.585005409756
Trimmed Mean ( 13 / 32 )21.26542857142860.0475850271848797446.893273567063
Trimmed Mean ( 14 / 32 )21.26352941176470.0469208909191635453.178296388235
Trimmed Mean ( 15 / 32 )21.26136363636360.0461460569467349460.74063621308
Trimmed Mean ( 16 / 32 )21.258593750.0453709726379116468.550540444807
Trimmed Mean ( 17 / 32 )21.25629032258060.0447374583939675475.13406182786
Trimmed Mean ( 18 / 32 )21.2540.0439942215003713483.108901013753
Trimmed Mean ( 19 / 32 )21.25137931034480.0431078279686598492.981908663897
Trimmed Mean ( 20 / 32 )21.24982142857140.0423478875041812501.791770049293
Trimmed Mean ( 21 / 32 )21.24814814814810.041483727602162512.204408242252
Trimmed Mean ( 22 / 32 )21.24807692307690.0408488720964105520.163124037495
Trimmed Mean ( 23 / 32 )21.24840.0403215241046572526.974127883866
Trimmed Mean ( 24 / 32 )21.2506250.0401287889552399529.560586134388
Trimmed Mean ( 25 / 32 )21.25326086956520.0398609350101898533.185206622277
Trimmed Mean ( 26 / 32 )21.25568181818180.0395741038600881537.11088173544
Trimmed Mean ( 27 / 32 )21.25738095238100.0393885606942768539.684125992186
Trimmed Mean ( 28 / 32 )21.259750.0392860768381539541.152278645266
Trimmed Mean ( 29 / 32 )21.26289473684210.0392767253148244541.361189518943
Trimmed Mean ( 30 / 32 )21.26638888888890.0391317529854051543.456075091259
Trimmed Mean ( 31 / 32 )21.27029411764710.0387976268044035548.236989465369
Trimmed Mean ( 32 / 32 )21.27468750.0381951281911754557.000028734432
Median21.22
Midrange21.23
Midmean - Weighted Average at Xnp21.2410204081633
Midmean - Weighted Average at X(n+1)p21.2410204081633
Midmean - Empirical Distribution Function21.2410204081633
Midmean - Empirical Distribution Function - Averaging21.2410204081633
Midmean - Empirical Distribution Function - Interpolation21.2410204081633
Midmean - Closest Observation21.2410204081633
Midmean - True Basic - Statistics Graphics Toolkit21.2410204081633
Midmean - MS Excel (old versions)21.2484
Number of observations96

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 21.2701041666667 & 0.0559057192708016 & 380.463831681272 \tabularnewline
Geometric Mean & 21.2631244685508 &  &  \tabularnewline
Harmonic Mean & 21.2561460885451 &  &  \tabularnewline
Quadratic Mean & 21.2770827172884 &  &  \tabularnewline
Winsorized Mean ( 1 / 32 ) & 21.2698958333333 & 0.0558258363895175 & 381.004517064919 \tabularnewline
Winsorized Mean ( 2 / 32 ) & 21.2707291666667 & 0.0551185414706552 & 385.908781312566 \tabularnewline
Winsorized Mean ( 3 / 32 ) & 21.2741666666667 & 0.0539914846004138 & 394.028184705697 \tabularnewline
Winsorized Mean ( 4 / 32 ) & 21.27125 & 0.053521853628116 & 397.431115667224 \tabularnewline
Winsorized Mean ( 5 / 32 ) & 21.27125 & 0.053521853628116 & 397.431115667224 \tabularnewline
Winsorized Mean ( 6 / 32 ) & 21.271875 & 0.0534226183494949 & 398.181063699232 \tabularnewline
Winsorized Mean ( 7 / 32 ) & 21.271875 & 0.0534226183494949 & 398.181063699232 \tabularnewline
Winsorized Mean ( 8 / 32 ) & 21.2752083333333 & 0.0526495320714172 & 404.091119071567 \tabularnewline
Winsorized Mean ( 9 / 32 ) & 21.2864583333333 & 0.0510488627222382 & 416.982028554779 \tabularnewline
Winsorized Mean ( 10 / 32 ) & 21.2854166666667 & 0.0505851541624362 & 420.783864734625 \tabularnewline
Winsorized Mean ( 11 / 32 ) & 21.2842708333333 & 0.0500818945100122 & 424.98933080653 \tabularnewline
Winsorized Mean ( 12 / 32 ) & 21.2842708333333 & 0.0500818945100122 & 424.98933080653 \tabularnewline
Winsorized Mean ( 13 / 32 ) & 21.2829166666667 & 0.0498761441118095 & 426.715357525550 \tabularnewline
Winsorized Mean ( 14 / 32 ) & 21.284375 & 0.0496853724856228 & 428.383122339657 \tabularnewline
Winsorized Mean ( 15 / 32 ) & 21.2890625 & 0.0486499937174316 & 437.596408000603 \tabularnewline
Winsorized Mean ( 16 / 32 ) & 21.2823958333333 & 0.0467458002597294 & 455.279313116557 \tabularnewline
Winsorized Mean ( 17 / 32 ) & 21.280625 & 0.0464884942613139 & 457.761115694147 \tabularnewline
Winsorized Mean ( 18 / 32 ) & 21.2825 & 0.0462558673376460 & 460.103792771797 \tabularnewline
Winsorized Mean ( 19 / 32 ) & 21.2686458333333 & 0.044292840247445 & 480.18247903080 \tabularnewline
Winsorized Mean ( 20 / 32 ) & 21.2686458333333 & 0.0437448292161552 & 486.19793960651 \tabularnewline
Winsorized Mean ( 21 / 32 ) & 21.2489583333333 & 0.0411262708881287 & 516.676029079674 \tabularnewline
Winsorized Mean ( 22 / 32 ) & 21.244375 & 0.0393844669766533 & 539.409991573416 \tabularnewline
Winsorized Mean ( 23 / 32 ) & 21.2228125 & 0.0362344047291322 & 585.708876926492 \tabularnewline
Winsorized Mean ( 24 / 32 ) & 21.2203125 & 0.0359548489778768 & 590.193342574098 \tabularnewline
Winsorized Mean ( 25 / 32 ) & 21.2255208333333 & 0.0352885566759735 & 601.484527356283 \tabularnewline
Winsorized Mean ( 26 / 32 ) & 21.2363541666667 & 0.0339346378285388 & 625.801703674204 \tabularnewline
Winsorized Mean ( 27 / 32 ) & 21.2307291666667 & 0.0326515511008426 & 650.221151855748 \tabularnewline
Winsorized Mean ( 28 / 32 ) & 21.2248958333333 & 0.0313521994778349 & 676.982673842028 \tabularnewline
Winsorized Mean ( 29 / 32 ) & 21.2248958333333 & 0.0313521994778349 & 676.982673842028 \tabularnewline
Winsorized Mean ( 30 / 32 ) & 21.2248958333333 & 0.0313521994778349 & 676.982673842028 \tabularnewline
Winsorized Mean ( 31 / 32 ) & 21.2248958333333 & 0.0313521994778349 & 676.982673842028 \tabularnewline
Winsorized Mean ( 32 / 32 ) & 21.2382291666667 & 0.0297367819639523 & 714.207381027718 \tabularnewline
Trimmed Mean ( 1 / 32 ) & 21.2709574468085 & 0.0548451093983114 & 387.83690433232 \tabularnewline
Trimmed Mean ( 2 / 32 ) & 21.2720652173913 & 0.05372941400547 & 395.910984907181 \tabularnewline
Trimmed Mean ( 3 / 32 ) & 21.2727777777778 & 0.0528812836147962 & 402.274232462573 \tabularnewline
Trimmed Mean ( 4 / 32 ) & 21.2722727272727 & 0.0523780684062209 & 406.129385343012 \tabularnewline
Trimmed Mean ( 5 / 32 ) & 21.2725581395349 & 0.0519439311648308 & 409.529230123763 \tabularnewline
Trimmed Mean ( 6 / 32 ) & 21.2728571428571 & 0.0514328741745676 & 413.604284890929 \tabularnewline
Trimmed Mean ( 7 / 32 ) & 21.2730487804878 & 0.0508570594960411 & 418.290970639853 \tabularnewline
Trimmed Mean ( 8 / 32 ) & 21.27325 & 0.0501815611781706 & 423.925631258639 \tabularnewline
Trimmed Mean ( 9 / 32 ) & 21.2729487179487 & 0.0495471026777706 & 429.347985416973 \tabularnewline
Trimmed Mean ( 10 / 32 ) & 21.2710526315789 & 0.0490962459519496 & 433.252119773004 \tabularnewline
Trimmed Mean ( 11 / 32 ) & 21.2691891891892 & 0.0486347320586052 & 437.325102635698 \tabularnewline
Trimmed Mean ( 12 / 32 ) & 21.2673611111111 & 0.0481614204526186 & 441.585005409756 \tabularnewline
Trimmed Mean ( 13 / 32 ) & 21.2654285714286 & 0.0475850271848797 & 446.893273567063 \tabularnewline
Trimmed Mean ( 14 / 32 ) & 21.2635294117647 & 0.0469208909191635 & 453.178296388235 \tabularnewline
Trimmed Mean ( 15 / 32 ) & 21.2613636363636 & 0.0461460569467349 & 460.74063621308 \tabularnewline
Trimmed Mean ( 16 / 32 ) & 21.25859375 & 0.0453709726379116 & 468.550540444807 \tabularnewline
Trimmed Mean ( 17 / 32 ) & 21.2562903225806 & 0.0447374583939675 & 475.13406182786 \tabularnewline
Trimmed Mean ( 18 / 32 ) & 21.254 & 0.0439942215003713 & 483.108901013753 \tabularnewline
Trimmed Mean ( 19 / 32 ) & 21.2513793103448 & 0.0431078279686598 & 492.981908663897 \tabularnewline
Trimmed Mean ( 20 / 32 ) & 21.2498214285714 & 0.0423478875041812 & 501.791770049293 \tabularnewline
Trimmed Mean ( 21 / 32 ) & 21.2481481481481 & 0.041483727602162 & 512.204408242252 \tabularnewline
Trimmed Mean ( 22 / 32 ) & 21.2480769230769 & 0.0408488720964105 & 520.163124037495 \tabularnewline
Trimmed Mean ( 23 / 32 ) & 21.2484 & 0.0403215241046572 & 526.974127883866 \tabularnewline
Trimmed Mean ( 24 / 32 ) & 21.250625 & 0.0401287889552399 & 529.560586134388 \tabularnewline
Trimmed Mean ( 25 / 32 ) & 21.2532608695652 & 0.0398609350101898 & 533.185206622277 \tabularnewline
Trimmed Mean ( 26 / 32 ) & 21.2556818181818 & 0.0395741038600881 & 537.11088173544 \tabularnewline
Trimmed Mean ( 27 / 32 ) & 21.2573809523810 & 0.0393885606942768 & 539.684125992186 \tabularnewline
Trimmed Mean ( 28 / 32 ) & 21.25975 & 0.0392860768381539 & 541.152278645266 \tabularnewline
Trimmed Mean ( 29 / 32 ) & 21.2628947368421 & 0.0392767253148244 & 541.361189518943 \tabularnewline
Trimmed Mean ( 30 / 32 ) & 21.2663888888889 & 0.0391317529854051 & 543.456075091259 \tabularnewline
Trimmed Mean ( 31 / 32 ) & 21.2702941176471 & 0.0387976268044035 & 548.236989465369 \tabularnewline
Trimmed Mean ( 32 / 32 ) & 21.2746875 & 0.0381951281911754 & 557.000028734432 \tabularnewline
Median & 21.22 &  &  \tabularnewline
Midrange & 21.23 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 21.2410204081633 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 21.2410204081633 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 21.2410204081633 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 21.2410204081633 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 21.2410204081633 &  &  \tabularnewline
Midmean - Closest Observation & 21.2410204081633 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 21.2410204081633 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 21.2484 &  &  \tabularnewline
Number of observations & 96 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10516&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]21.2701041666667[/C][C]0.0559057192708016[/C][C]380.463831681272[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]21.2631244685508[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]21.2561460885451[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]21.2770827172884[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 32 )[/C][C]21.2698958333333[/C][C]0.0558258363895175[/C][C]381.004517064919[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 32 )[/C][C]21.2707291666667[/C][C]0.0551185414706552[/C][C]385.908781312566[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 32 )[/C][C]21.2741666666667[/C][C]0.0539914846004138[/C][C]394.028184705697[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 32 )[/C][C]21.27125[/C][C]0.053521853628116[/C][C]397.431115667224[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 32 )[/C][C]21.27125[/C][C]0.053521853628116[/C][C]397.431115667224[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 32 )[/C][C]21.271875[/C][C]0.0534226183494949[/C][C]398.181063699232[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 32 )[/C][C]21.271875[/C][C]0.0534226183494949[/C][C]398.181063699232[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 32 )[/C][C]21.2752083333333[/C][C]0.0526495320714172[/C][C]404.091119071567[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 32 )[/C][C]21.2864583333333[/C][C]0.0510488627222382[/C][C]416.982028554779[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 32 )[/C][C]21.2854166666667[/C][C]0.0505851541624362[/C][C]420.783864734625[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 32 )[/C][C]21.2842708333333[/C][C]0.0500818945100122[/C][C]424.98933080653[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 32 )[/C][C]21.2842708333333[/C][C]0.0500818945100122[/C][C]424.98933080653[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 32 )[/C][C]21.2829166666667[/C][C]0.0498761441118095[/C][C]426.715357525550[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 32 )[/C][C]21.284375[/C][C]0.0496853724856228[/C][C]428.383122339657[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 32 )[/C][C]21.2890625[/C][C]0.0486499937174316[/C][C]437.596408000603[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 32 )[/C][C]21.2823958333333[/C][C]0.0467458002597294[/C][C]455.279313116557[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 32 )[/C][C]21.280625[/C][C]0.0464884942613139[/C][C]457.761115694147[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 32 )[/C][C]21.2825[/C][C]0.0462558673376460[/C][C]460.103792771797[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 32 )[/C][C]21.2686458333333[/C][C]0.044292840247445[/C][C]480.18247903080[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 32 )[/C][C]21.2686458333333[/C][C]0.0437448292161552[/C][C]486.19793960651[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 32 )[/C][C]21.2489583333333[/C][C]0.0411262708881287[/C][C]516.676029079674[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 32 )[/C][C]21.244375[/C][C]0.0393844669766533[/C][C]539.409991573416[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 32 )[/C][C]21.2228125[/C][C]0.0362344047291322[/C][C]585.708876926492[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 32 )[/C][C]21.2203125[/C][C]0.0359548489778768[/C][C]590.193342574098[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 32 )[/C][C]21.2255208333333[/C][C]0.0352885566759735[/C][C]601.484527356283[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 32 )[/C][C]21.2363541666667[/C][C]0.0339346378285388[/C][C]625.801703674204[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 32 )[/C][C]21.2307291666667[/C][C]0.0326515511008426[/C][C]650.221151855748[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 32 )[/C][C]21.2248958333333[/C][C]0.0313521994778349[/C][C]676.982673842028[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 32 )[/C][C]21.2248958333333[/C][C]0.0313521994778349[/C][C]676.982673842028[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 32 )[/C][C]21.2248958333333[/C][C]0.0313521994778349[/C][C]676.982673842028[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 32 )[/C][C]21.2248958333333[/C][C]0.0313521994778349[/C][C]676.982673842028[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 32 )[/C][C]21.2382291666667[/C][C]0.0297367819639523[/C][C]714.207381027718[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 32 )[/C][C]21.2709574468085[/C][C]0.0548451093983114[/C][C]387.83690433232[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 32 )[/C][C]21.2720652173913[/C][C]0.05372941400547[/C][C]395.910984907181[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 32 )[/C][C]21.2727777777778[/C][C]0.0528812836147962[/C][C]402.274232462573[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 32 )[/C][C]21.2722727272727[/C][C]0.0523780684062209[/C][C]406.129385343012[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 32 )[/C][C]21.2725581395349[/C][C]0.0519439311648308[/C][C]409.529230123763[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 32 )[/C][C]21.2728571428571[/C][C]0.0514328741745676[/C][C]413.604284890929[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 32 )[/C][C]21.2730487804878[/C][C]0.0508570594960411[/C][C]418.290970639853[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 32 )[/C][C]21.27325[/C][C]0.0501815611781706[/C][C]423.925631258639[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 32 )[/C][C]21.2729487179487[/C][C]0.0495471026777706[/C][C]429.347985416973[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 32 )[/C][C]21.2710526315789[/C][C]0.0490962459519496[/C][C]433.252119773004[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 32 )[/C][C]21.2691891891892[/C][C]0.0486347320586052[/C][C]437.325102635698[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 32 )[/C][C]21.2673611111111[/C][C]0.0481614204526186[/C][C]441.585005409756[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 32 )[/C][C]21.2654285714286[/C][C]0.0475850271848797[/C][C]446.893273567063[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 32 )[/C][C]21.2635294117647[/C][C]0.0469208909191635[/C][C]453.178296388235[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 32 )[/C][C]21.2613636363636[/C][C]0.0461460569467349[/C][C]460.74063621308[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 32 )[/C][C]21.25859375[/C][C]0.0453709726379116[/C][C]468.550540444807[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 32 )[/C][C]21.2562903225806[/C][C]0.0447374583939675[/C][C]475.13406182786[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 32 )[/C][C]21.254[/C][C]0.0439942215003713[/C][C]483.108901013753[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 32 )[/C][C]21.2513793103448[/C][C]0.0431078279686598[/C][C]492.981908663897[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 32 )[/C][C]21.2498214285714[/C][C]0.0423478875041812[/C][C]501.791770049293[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 32 )[/C][C]21.2481481481481[/C][C]0.041483727602162[/C][C]512.204408242252[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 32 )[/C][C]21.2480769230769[/C][C]0.0408488720964105[/C][C]520.163124037495[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 32 )[/C][C]21.2484[/C][C]0.0403215241046572[/C][C]526.974127883866[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 32 )[/C][C]21.250625[/C][C]0.0401287889552399[/C][C]529.560586134388[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 32 )[/C][C]21.2532608695652[/C][C]0.0398609350101898[/C][C]533.185206622277[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 32 )[/C][C]21.2556818181818[/C][C]0.0395741038600881[/C][C]537.11088173544[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 32 )[/C][C]21.2573809523810[/C][C]0.0393885606942768[/C][C]539.684125992186[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 32 )[/C][C]21.25975[/C][C]0.0392860768381539[/C][C]541.152278645266[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 32 )[/C][C]21.2628947368421[/C][C]0.0392767253148244[/C][C]541.361189518943[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 32 )[/C][C]21.2663888888889[/C][C]0.0391317529854051[/C][C]543.456075091259[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 32 )[/C][C]21.2702941176471[/C][C]0.0387976268044035[/C][C]548.236989465369[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 32 )[/C][C]21.2746875[/C][C]0.0381951281911754[/C][C]557.000028734432[/C][/ROW]
[ROW][C]Median[/C][C]21.22[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]21.23[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]21.2410204081633[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]21.2410204081633[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]21.2410204081633[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]21.2410204081633[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]21.2410204081633[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]21.2410204081633[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]21.2410204081633[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]21.2484[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]96[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10516&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10516&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 Mean21.27010416666670.0559057192708016380.463831681272
Geometric Mean21.2631244685508
Harmonic Mean21.2561460885451
Quadratic Mean21.2770827172884
Winsorized Mean ( 1 / 32 )21.26989583333330.0558258363895175381.004517064919
Winsorized Mean ( 2 / 32 )21.27072916666670.0551185414706552385.908781312566
Winsorized Mean ( 3 / 32 )21.27416666666670.0539914846004138394.028184705697
Winsorized Mean ( 4 / 32 )21.271250.053521853628116397.431115667224
Winsorized Mean ( 5 / 32 )21.271250.053521853628116397.431115667224
Winsorized Mean ( 6 / 32 )21.2718750.0534226183494949398.181063699232
Winsorized Mean ( 7 / 32 )21.2718750.0534226183494949398.181063699232
Winsorized Mean ( 8 / 32 )21.27520833333330.0526495320714172404.091119071567
Winsorized Mean ( 9 / 32 )21.28645833333330.0510488627222382416.982028554779
Winsorized Mean ( 10 / 32 )21.28541666666670.0505851541624362420.783864734625
Winsorized Mean ( 11 / 32 )21.28427083333330.0500818945100122424.98933080653
Winsorized Mean ( 12 / 32 )21.28427083333330.0500818945100122424.98933080653
Winsorized Mean ( 13 / 32 )21.28291666666670.0498761441118095426.715357525550
Winsorized Mean ( 14 / 32 )21.2843750.0496853724856228428.383122339657
Winsorized Mean ( 15 / 32 )21.28906250.0486499937174316437.596408000603
Winsorized Mean ( 16 / 32 )21.28239583333330.0467458002597294455.279313116557
Winsorized Mean ( 17 / 32 )21.2806250.0464884942613139457.761115694147
Winsorized Mean ( 18 / 32 )21.28250.0462558673376460460.103792771797
Winsorized Mean ( 19 / 32 )21.26864583333330.044292840247445480.18247903080
Winsorized Mean ( 20 / 32 )21.26864583333330.0437448292161552486.19793960651
Winsorized Mean ( 21 / 32 )21.24895833333330.0411262708881287516.676029079674
Winsorized Mean ( 22 / 32 )21.2443750.0393844669766533539.409991573416
Winsorized Mean ( 23 / 32 )21.22281250.0362344047291322585.708876926492
Winsorized Mean ( 24 / 32 )21.22031250.0359548489778768590.193342574098
Winsorized Mean ( 25 / 32 )21.22552083333330.0352885566759735601.484527356283
Winsorized Mean ( 26 / 32 )21.23635416666670.0339346378285388625.801703674204
Winsorized Mean ( 27 / 32 )21.23072916666670.0326515511008426650.221151855748
Winsorized Mean ( 28 / 32 )21.22489583333330.0313521994778349676.982673842028
Winsorized Mean ( 29 / 32 )21.22489583333330.0313521994778349676.982673842028
Winsorized Mean ( 30 / 32 )21.22489583333330.0313521994778349676.982673842028
Winsorized Mean ( 31 / 32 )21.22489583333330.0313521994778349676.982673842028
Winsorized Mean ( 32 / 32 )21.23822916666670.0297367819639523714.207381027718
Trimmed Mean ( 1 / 32 )21.27095744680850.0548451093983114387.83690433232
Trimmed Mean ( 2 / 32 )21.27206521739130.05372941400547395.910984907181
Trimmed Mean ( 3 / 32 )21.27277777777780.0528812836147962402.274232462573
Trimmed Mean ( 4 / 32 )21.27227272727270.0523780684062209406.129385343012
Trimmed Mean ( 5 / 32 )21.27255813953490.0519439311648308409.529230123763
Trimmed Mean ( 6 / 32 )21.27285714285710.0514328741745676413.604284890929
Trimmed Mean ( 7 / 32 )21.27304878048780.0508570594960411418.290970639853
Trimmed Mean ( 8 / 32 )21.273250.0501815611781706423.925631258639
Trimmed Mean ( 9 / 32 )21.27294871794870.0495471026777706429.347985416973
Trimmed Mean ( 10 / 32 )21.27105263157890.0490962459519496433.252119773004
Trimmed Mean ( 11 / 32 )21.26918918918920.0486347320586052437.325102635698
Trimmed Mean ( 12 / 32 )21.26736111111110.0481614204526186441.585005409756
Trimmed Mean ( 13 / 32 )21.26542857142860.0475850271848797446.893273567063
Trimmed Mean ( 14 / 32 )21.26352941176470.0469208909191635453.178296388235
Trimmed Mean ( 15 / 32 )21.26136363636360.0461460569467349460.74063621308
Trimmed Mean ( 16 / 32 )21.258593750.0453709726379116468.550540444807
Trimmed Mean ( 17 / 32 )21.25629032258060.0447374583939675475.13406182786
Trimmed Mean ( 18 / 32 )21.2540.0439942215003713483.108901013753
Trimmed Mean ( 19 / 32 )21.25137931034480.0431078279686598492.981908663897
Trimmed Mean ( 20 / 32 )21.24982142857140.0423478875041812501.791770049293
Trimmed Mean ( 21 / 32 )21.24814814814810.041483727602162512.204408242252
Trimmed Mean ( 22 / 32 )21.24807692307690.0408488720964105520.163124037495
Trimmed Mean ( 23 / 32 )21.24840.0403215241046572526.974127883866
Trimmed Mean ( 24 / 32 )21.2506250.0401287889552399529.560586134388
Trimmed Mean ( 25 / 32 )21.25326086956520.0398609350101898533.185206622277
Trimmed Mean ( 26 / 32 )21.25568181818180.0395741038600881537.11088173544
Trimmed Mean ( 27 / 32 )21.25738095238100.0393885606942768539.684125992186
Trimmed Mean ( 28 / 32 )21.259750.0392860768381539541.152278645266
Trimmed Mean ( 29 / 32 )21.26289473684210.0392767253148244541.361189518943
Trimmed Mean ( 30 / 32 )21.26638888888890.0391317529854051543.456075091259
Trimmed Mean ( 31 / 32 )21.27029411764710.0387976268044035548.236989465369
Trimmed Mean ( 32 / 32 )21.27468750.0381951281911754557.000028734432
Median21.22
Midrange21.23
Midmean - Weighted Average at Xnp21.2410204081633
Midmean - Weighted Average at X(n+1)p21.2410204081633
Midmean - Empirical Distribution Function21.2410204081633
Midmean - Empirical Distribution Function - Averaging21.2410204081633
Midmean - Empirical Distribution Function - Interpolation21.2410204081633
Midmean - Closest Observation21.2410204081633
Midmean - True Basic - Statistics Graphics Toolkit21.2410204081633
Midmean - MS Excel (old versions)21.2484
Number of observations96



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')