Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationWed, 18 Mar 2009 18:57:04 -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/2009/Mar/19/t1237424460tlk7tyhdueh1whm.htm/, Retrieved Thu, 06 Oct 2022 23:56:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=39120, Retrieved Thu, 06 Oct 2022 23:56:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact162
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [opgave 5.3 umran ...] [2009-03-19 00:57:04] [35929c65abb99b6a5fe7f94d9e3dcf69] [Current]
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Dataseries X:
580
579
572
560
551
537
541
588
607
599
578
563
566
561
554
540
526
512
505
554
584
569
540
522
526
527
516
503
489
479
475
524
552
532
511
492
492
493
481
462
457
442
439
488
521
501
485
464
460
467
460
448
443
436
431
484
510
513
503
471
471
476
475
470
461
455
456
517
525
523
519
509
512
519
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
557
561
549
532
526
511
499
555
565
542
527
510
514
517
508
493
490
469
478
528
534
518
506
502
516




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=39120&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=39120&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=39120&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean532.9379310344834.01156399175292132.850412490019
Geometric Mean530.745836821732
Harmonic Mean528.538222631524
Quadratic Mean535.107633388223
Winsorized Mean ( 1 / 48 )532.9655172413794.00448041450374133.092302140134
Winsorized Mean ( 2 / 48 )532.9793103448283.99311511125289133.47456697225
Winsorized Mean ( 3 / 48 )532.9379310344833.96675867624448134.350983896767
Winsorized Mean ( 4 / 48 )532.9379310344833.95815299879178134.643085094781
Winsorized Mean ( 5 / 48 )533.1103448275863.93158831885338135.596685510314
Winsorized Mean ( 6 / 48 )533.1103448275863.84624409073269138.605437473947
Winsorized Mean ( 7 / 48 )533.1103448275863.83253511481139139.101229044792
Winsorized Mean ( 8 / 48 )533.1103448275863.81700818179661139.667068928487
Winsorized Mean ( 9 / 48 )533.2965517241383.79161613125261140.651514621539
Winsorized Mean ( 10 / 48 )533.0206896551723.75310176912609142.021379233552
Winsorized Mean ( 11 / 48 )532.4896551724143.66299603680503145.369978515419
Winsorized Mean ( 12 / 48 )532.4068965517243.63115637291638146.621858679173
Winsorized Mean ( 13 / 48 )532.4068965517243.58525738977433148.498932899553
Winsorized Mean ( 14 / 48 )532.6965517241383.54743882758167150.163703340667
Winsorized Mean ( 15 / 48 )532.83.508495436777151.859966644119
Winsorized Mean ( 16 / 48 )532.9103448275863.49463076450270152.494034631845
Winsorized Mean ( 17 / 48 )532.9103448275863.46585585734417153.760100466482
Winsorized Mean ( 18 / 48 )532.6620689655173.43627288357993155.011574171195
Winsorized Mean ( 19 / 48 )533.0551724137933.35668229445313158.804177951145
Winsorized Mean ( 20 / 48 )532.917241379313.34051673464339159.531379038639
Winsorized Mean ( 21 / 48 )532.917241379313.30632019076463161.181377069251
Winsorized Mean ( 22 / 48 )533.2206896551723.27038945982268163.045012285504
Winsorized Mean ( 23 / 48 )532.7448275862073.17934213463051167.56448504971
Winsorized Mean ( 24 / 48 )533.0758620689663.14085186785474169.723337647588
Winsorized Mean ( 25 / 48 )532.9034482758623.00545997617406177.311776733173
Winsorized Mean ( 26 / 48 )533.082758620692.98530088987552178.569188931210
Winsorized Mean ( 27 / 48 )533.6413793103452.92377091873759182.518191110799
Winsorized Mean ( 28 / 48 )533.6413793103452.8817312648083185.180827173988
Winsorized Mean ( 29 / 48 )533.6413793103452.838512437942188.000366733376
Winsorized Mean ( 30 / 48 )534.0551724137932.79479845451761191.088975146142
Winsorized Mean ( 31 / 48 )533.22.70326182991452197.243194906081
Winsorized Mean ( 32 / 48 )533.22.65694348058137200.681724657286
Winsorized Mean ( 33 / 48 )533.22.65694348058137200.681724657286
Winsorized Mean ( 34 / 48 )534.6068965517242.51370375467299212.676969415305
Winsorized Mean ( 35 / 48 )534.8482758620692.44115282409411219.096596732139
Winsorized Mean ( 36 / 48 )534.1034482758622.36359125373749225.971156151174
Winsorized Mean ( 37 / 48 )534.3586206896552.33892343227333228.463494493397
Winsorized Mean ( 38 / 48 )534.6206896551722.31389830801589231.047616830489
Winsorized Mean ( 39 / 48 )534.082758620692.25892235708802236.432543573200
Winsorized Mean ( 40 / 48 )534.3586206896552.17887093028695245.245651434379
Winsorized Mean ( 41 / 48 )534.6413793103452.15257744157106248.372657347991
Winsorized Mean ( 42 / 48 )534.6413793103452.09671965701701254.989443877764
Winsorized Mean ( 43 / 48 )534.9379310344832.06974235096841258.456290844215
Winsorized Mean ( 44 / 48 )534.6344827586211.98161602927056269.797213416477
Winsorized Mean ( 45 / 48 )534.3241379310341.95090318897208273.885521819545
Winsorized Mean ( 46 / 48 )534.3241379310341.89127059904052282.521252221712
Winsorized Mean ( 47 / 48 )534.3241379310341.89127059904052282.521252221712
Winsorized Mean ( 48 / 48 )534.3241379310341.89127059904052282.521252221712
Trimmed Mean ( 1 / 48 )532.9790209790213.94732215115792135.022934680585
Trimmed Mean ( 2 / 48 )532.9929078014183.88513516152178137.187738815411
Trimmed Mean ( 3 / 48 )5333.82385054211169139.388293064837
Trimmed Mean ( 4 / 48 )533.0218978102193.76740938311619141.482340676588
Trimmed Mean ( 5 / 48 )533.0444444444443.70842893709721143.738616402257
Trimmed Mean ( 6 / 48 )533.030075187973.65076513997695146.005030384216
Trimmed Mean ( 7 / 48 )533.0152671755723.60647920780299147.793800120167
Trimmed Mean ( 8 / 48 )5333.56057424490606149.694954616530
Trimmed Mean ( 9 / 48 )532.9842519685043.51291623283828151.721309772843
Trimmed Mean ( 10 / 48 )532.9443.46466595699331153.822621463483
Trimmed Mean ( 11 / 48 )532.9349593495933.41745914886671155.944792939610
Trimmed Mean ( 12 / 48 )532.983471074383.3783051048848157.766529229027
Trimmed Mean ( 13 / 48 )533.0420168067233.33927342974428159.628143074089
Trimmed Mean ( 14 / 48 )533.1025641025643.30193846323629161.451392882731
Trimmed Mean ( 15 / 48 )533.1391304347833.26518951073911163.279689794820
Trimmed Mean ( 16 / 48 )533.168141592923.22896045626756165.120678563287
Trimmed Mean ( 17 / 48 )533.1891891891893.19016490023096167.135306751882
Trimmed Mean ( 18 / 48 )533.2110091743123.1501412627499169.265745469728
Trimmed Mean ( 19 / 48 )533.2523364485983.10868469828184171.53632105029
Trimmed Mean ( 20 / 48 )533.2666666666673.07111279860148173.639557267159
Trimmed Mean ( 21 / 48 )533.2912621359223.03060821522516175.968394547595
Trimmed Mean ( 22 / 48 )533.3168316831682.98872238981476178.443081063887
Trimmed Mean ( 23 / 48 )533.3232323232322.94538440225056181.070841522662
Trimmed Mean ( 24 / 48 )533.3608247422682.90618584129049183.526055754724
Trimmed Mean ( 25 / 48 )533.3789473684212.86583844614637186.116195100127
Trimmed Mean ( 26 / 48 )533.4086021505382.83425733190457188.200484178371
Trimmed Mean ( 27 / 48 )533.4285714285712.80014576880037190.500286582259
Trimmed Mean ( 28 / 48 )533.4157303370792.76745131291362192.746202199846
Trimmed Mean ( 29 / 48 )533.4022988505752.73416608848889195.087745801636
Trimmed Mean ( 30 / 48 )533.3882352941182.70024867189991197.533005328292
Trimmed Mean ( 31 / 48 )533.3493975903612.66552713196747200.091528311208
Trimmed Mean ( 32 / 48 )533.3580246913582.63507377095736202.407245888065
Trimmed Mean ( 33 / 48 )533.3670886075952.60434169334458204.799197421221
Trimmed Mean ( 34 / 48 )533.3766233766232.56807779640065207.694885304561
Trimmed Mean ( 35 / 48 )533.3066666666672.54126118461059209.859053408707
Trimmed Mean ( 36 / 48 )533.2191780821922.51708368247660211.840067850882
Trimmed Mean ( 37 / 48 )533.1690140845072.49675732683249213.544587755716
Trimmed Mean ( 38 / 48 )533.1014492753622.47434792770166215.451288522121
Trimmed Mean ( 39 / 48 )533.0149253731342.44944289231834217.606594154416
Trimmed Mean ( 40 / 48 )532.9538461538462.42556801131504219.723315803832
Trimmed Mean ( 41 / 48 )532.8730158730162.40545676634028221.526748403690
Trimmed Mean ( 42 / 48 )532.7704918032792.38281569249158223.588628143619
Trimmed Mean ( 43 / 48 )532.6610169491532.36111720199352225.597025213073
Trimmed Mean ( 44 / 48 )532.5263157894742.33625469597921227.940179940986
Trimmed Mean ( 45 / 48 )532.42.31662124801056229.817455251784
Trimmed Mean ( 46 / 48 )532.2830188679252.29490781005893231.940915680728
Trimmed Mean ( 47 / 48 )532.1568627450982.27456051329544233.960301181038
Trimmed Mean ( 48 / 48 )532.0204081632652.24640487456620236.831932741422
Median527
Midrange530
Midmean - Weighted Average at Xnp532.783783783784
Midmean - Weighted Average at X(n+1)p532.783783783784
Midmean - Empirical Distribution Function532.783783783784
Midmean - Empirical Distribution Function - Averaging532.783783783784
Midmean - Empirical Distribution Function - Interpolation532.783783783784
Midmean - Closest Observation532.783783783784
Midmean - True Basic - Statistics Graphics Toolkit532.783783783784
Midmean - MS Excel (old versions)532.783783783784
Number of observations145

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 532.937931034483 & 4.01156399175292 & 132.850412490019 \tabularnewline
Geometric Mean & 530.745836821732 &  &  \tabularnewline
Harmonic Mean & 528.538222631524 &  &  \tabularnewline
Quadratic Mean & 535.107633388223 &  &  \tabularnewline
Winsorized Mean ( 1 / 48 ) & 532.965517241379 & 4.00448041450374 & 133.092302140134 \tabularnewline
Winsorized Mean ( 2 / 48 ) & 532.979310344828 & 3.99311511125289 & 133.47456697225 \tabularnewline
Winsorized Mean ( 3 / 48 ) & 532.937931034483 & 3.96675867624448 & 134.350983896767 \tabularnewline
Winsorized Mean ( 4 / 48 ) & 532.937931034483 & 3.95815299879178 & 134.643085094781 \tabularnewline
Winsorized Mean ( 5 / 48 ) & 533.110344827586 & 3.93158831885338 & 135.596685510314 \tabularnewline
Winsorized Mean ( 6 / 48 ) & 533.110344827586 & 3.84624409073269 & 138.605437473947 \tabularnewline
Winsorized Mean ( 7 / 48 ) & 533.110344827586 & 3.83253511481139 & 139.101229044792 \tabularnewline
Winsorized Mean ( 8 / 48 ) & 533.110344827586 & 3.81700818179661 & 139.667068928487 \tabularnewline
Winsorized Mean ( 9 / 48 ) & 533.296551724138 & 3.79161613125261 & 140.651514621539 \tabularnewline
Winsorized Mean ( 10 / 48 ) & 533.020689655172 & 3.75310176912609 & 142.021379233552 \tabularnewline
Winsorized Mean ( 11 / 48 ) & 532.489655172414 & 3.66299603680503 & 145.369978515419 \tabularnewline
Winsorized Mean ( 12 / 48 ) & 532.406896551724 & 3.63115637291638 & 146.621858679173 \tabularnewline
Winsorized Mean ( 13 / 48 ) & 532.406896551724 & 3.58525738977433 & 148.498932899553 \tabularnewline
Winsorized Mean ( 14 / 48 ) & 532.696551724138 & 3.54743882758167 & 150.163703340667 \tabularnewline
Winsorized Mean ( 15 / 48 ) & 532.8 & 3.508495436777 & 151.859966644119 \tabularnewline
Winsorized Mean ( 16 / 48 ) & 532.910344827586 & 3.49463076450270 & 152.494034631845 \tabularnewline
Winsorized Mean ( 17 / 48 ) & 532.910344827586 & 3.46585585734417 & 153.760100466482 \tabularnewline
Winsorized Mean ( 18 / 48 ) & 532.662068965517 & 3.43627288357993 & 155.011574171195 \tabularnewline
Winsorized Mean ( 19 / 48 ) & 533.055172413793 & 3.35668229445313 & 158.804177951145 \tabularnewline
Winsorized Mean ( 20 / 48 ) & 532.91724137931 & 3.34051673464339 & 159.531379038639 \tabularnewline
Winsorized Mean ( 21 / 48 ) & 532.91724137931 & 3.30632019076463 & 161.181377069251 \tabularnewline
Winsorized Mean ( 22 / 48 ) & 533.220689655172 & 3.27038945982268 & 163.045012285504 \tabularnewline
Winsorized Mean ( 23 / 48 ) & 532.744827586207 & 3.17934213463051 & 167.56448504971 \tabularnewline
Winsorized Mean ( 24 / 48 ) & 533.075862068966 & 3.14085186785474 & 169.723337647588 \tabularnewline
Winsorized Mean ( 25 / 48 ) & 532.903448275862 & 3.00545997617406 & 177.311776733173 \tabularnewline
Winsorized Mean ( 26 / 48 ) & 533.08275862069 & 2.98530088987552 & 178.569188931210 \tabularnewline
Winsorized Mean ( 27 / 48 ) & 533.641379310345 & 2.92377091873759 & 182.518191110799 \tabularnewline
Winsorized Mean ( 28 / 48 ) & 533.641379310345 & 2.8817312648083 & 185.180827173988 \tabularnewline
Winsorized Mean ( 29 / 48 ) & 533.641379310345 & 2.838512437942 & 188.000366733376 \tabularnewline
Winsorized Mean ( 30 / 48 ) & 534.055172413793 & 2.79479845451761 & 191.088975146142 \tabularnewline
Winsorized Mean ( 31 / 48 ) & 533.2 & 2.70326182991452 & 197.243194906081 \tabularnewline
Winsorized Mean ( 32 / 48 ) & 533.2 & 2.65694348058137 & 200.681724657286 \tabularnewline
Winsorized Mean ( 33 / 48 ) & 533.2 & 2.65694348058137 & 200.681724657286 \tabularnewline
Winsorized Mean ( 34 / 48 ) & 534.606896551724 & 2.51370375467299 & 212.676969415305 \tabularnewline
Winsorized Mean ( 35 / 48 ) & 534.848275862069 & 2.44115282409411 & 219.096596732139 \tabularnewline
Winsorized Mean ( 36 / 48 ) & 534.103448275862 & 2.36359125373749 & 225.971156151174 \tabularnewline
Winsorized Mean ( 37 / 48 ) & 534.358620689655 & 2.33892343227333 & 228.463494493397 \tabularnewline
Winsorized Mean ( 38 / 48 ) & 534.620689655172 & 2.31389830801589 & 231.047616830489 \tabularnewline
Winsorized Mean ( 39 / 48 ) & 534.08275862069 & 2.25892235708802 & 236.432543573200 \tabularnewline
Winsorized Mean ( 40 / 48 ) & 534.358620689655 & 2.17887093028695 & 245.245651434379 \tabularnewline
Winsorized Mean ( 41 / 48 ) & 534.641379310345 & 2.15257744157106 & 248.372657347991 \tabularnewline
Winsorized Mean ( 42 / 48 ) & 534.641379310345 & 2.09671965701701 & 254.989443877764 \tabularnewline
Winsorized Mean ( 43 / 48 ) & 534.937931034483 & 2.06974235096841 & 258.456290844215 \tabularnewline
Winsorized Mean ( 44 / 48 ) & 534.634482758621 & 1.98161602927056 & 269.797213416477 \tabularnewline
Winsorized Mean ( 45 / 48 ) & 534.324137931034 & 1.95090318897208 & 273.885521819545 \tabularnewline
Winsorized Mean ( 46 / 48 ) & 534.324137931034 & 1.89127059904052 & 282.521252221712 \tabularnewline
Winsorized Mean ( 47 / 48 ) & 534.324137931034 & 1.89127059904052 & 282.521252221712 \tabularnewline
Winsorized Mean ( 48 / 48 ) & 534.324137931034 & 1.89127059904052 & 282.521252221712 \tabularnewline
Trimmed Mean ( 1 / 48 ) & 532.979020979021 & 3.94732215115792 & 135.022934680585 \tabularnewline
Trimmed Mean ( 2 / 48 ) & 532.992907801418 & 3.88513516152178 & 137.187738815411 \tabularnewline
Trimmed Mean ( 3 / 48 ) & 533 & 3.82385054211169 & 139.388293064837 \tabularnewline
Trimmed Mean ( 4 / 48 ) & 533.021897810219 & 3.76740938311619 & 141.482340676588 \tabularnewline
Trimmed Mean ( 5 / 48 ) & 533.044444444444 & 3.70842893709721 & 143.738616402257 \tabularnewline
Trimmed Mean ( 6 / 48 ) & 533.03007518797 & 3.65076513997695 & 146.005030384216 \tabularnewline
Trimmed Mean ( 7 / 48 ) & 533.015267175572 & 3.60647920780299 & 147.793800120167 \tabularnewline
Trimmed Mean ( 8 / 48 ) & 533 & 3.56057424490606 & 149.694954616530 \tabularnewline
Trimmed Mean ( 9 / 48 ) & 532.984251968504 & 3.51291623283828 & 151.721309772843 \tabularnewline
Trimmed Mean ( 10 / 48 ) & 532.944 & 3.46466595699331 & 153.822621463483 \tabularnewline
Trimmed Mean ( 11 / 48 ) & 532.934959349593 & 3.41745914886671 & 155.944792939610 \tabularnewline
Trimmed Mean ( 12 / 48 ) & 532.98347107438 & 3.3783051048848 & 157.766529229027 \tabularnewline
Trimmed Mean ( 13 / 48 ) & 533.042016806723 & 3.33927342974428 & 159.628143074089 \tabularnewline
Trimmed Mean ( 14 / 48 ) & 533.102564102564 & 3.30193846323629 & 161.451392882731 \tabularnewline
Trimmed Mean ( 15 / 48 ) & 533.139130434783 & 3.26518951073911 & 163.279689794820 \tabularnewline
Trimmed Mean ( 16 / 48 ) & 533.16814159292 & 3.22896045626756 & 165.120678563287 \tabularnewline
Trimmed Mean ( 17 / 48 ) & 533.189189189189 & 3.19016490023096 & 167.135306751882 \tabularnewline
Trimmed Mean ( 18 / 48 ) & 533.211009174312 & 3.1501412627499 & 169.265745469728 \tabularnewline
Trimmed Mean ( 19 / 48 ) & 533.252336448598 & 3.10868469828184 & 171.53632105029 \tabularnewline
Trimmed Mean ( 20 / 48 ) & 533.266666666667 & 3.07111279860148 & 173.639557267159 \tabularnewline
Trimmed Mean ( 21 / 48 ) & 533.291262135922 & 3.03060821522516 & 175.968394547595 \tabularnewline
Trimmed Mean ( 22 / 48 ) & 533.316831683168 & 2.98872238981476 & 178.443081063887 \tabularnewline
Trimmed Mean ( 23 / 48 ) & 533.323232323232 & 2.94538440225056 & 181.070841522662 \tabularnewline
Trimmed Mean ( 24 / 48 ) & 533.360824742268 & 2.90618584129049 & 183.526055754724 \tabularnewline
Trimmed Mean ( 25 / 48 ) & 533.378947368421 & 2.86583844614637 & 186.116195100127 \tabularnewline
Trimmed Mean ( 26 / 48 ) & 533.408602150538 & 2.83425733190457 & 188.200484178371 \tabularnewline
Trimmed Mean ( 27 / 48 ) & 533.428571428571 & 2.80014576880037 & 190.500286582259 \tabularnewline
Trimmed Mean ( 28 / 48 ) & 533.415730337079 & 2.76745131291362 & 192.746202199846 \tabularnewline
Trimmed Mean ( 29 / 48 ) & 533.402298850575 & 2.73416608848889 & 195.087745801636 \tabularnewline
Trimmed Mean ( 30 / 48 ) & 533.388235294118 & 2.70024867189991 & 197.533005328292 \tabularnewline
Trimmed Mean ( 31 / 48 ) & 533.349397590361 & 2.66552713196747 & 200.091528311208 \tabularnewline
Trimmed Mean ( 32 / 48 ) & 533.358024691358 & 2.63507377095736 & 202.407245888065 \tabularnewline
Trimmed Mean ( 33 / 48 ) & 533.367088607595 & 2.60434169334458 & 204.799197421221 \tabularnewline
Trimmed Mean ( 34 / 48 ) & 533.376623376623 & 2.56807779640065 & 207.694885304561 \tabularnewline
Trimmed Mean ( 35 / 48 ) & 533.306666666667 & 2.54126118461059 & 209.859053408707 \tabularnewline
Trimmed Mean ( 36 / 48 ) & 533.219178082192 & 2.51708368247660 & 211.840067850882 \tabularnewline
Trimmed Mean ( 37 / 48 ) & 533.169014084507 & 2.49675732683249 & 213.544587755716 \tabularnewline
Trimmed Mean ( 38 / 48 ) & 533.101449275362 & 2.47434792770166 & 215.451288522121 \tabularnewline
Trimmed Mean ( 39 / 48 ) & 533.014925373134 & 2.44944289231834 & 217.606594154416 \tabularnewline
Trimmed Mean ( 40 / 48 ) & 532.953846153846 & 2.42556801131504 & 219.723315803832 \tabularnewline
Trimmed Mean ( 41 / 48 ) & 532.873015873016 & 2.40545676634028 & 221.526748403690 \tabularnewline
Trimmed Mean ( 42 / 48 ) & 532.770491803279 & 2.38281569249158 & 223.588628143619 \tabularnewline
Trimmed Mean ( 43 / 48 ) & 532.661016949153 & 2.36111720199352 & 225.597025213073 \tabularnewline
Trimmed Mean ( 44 / 48 ) & 532.526315789474 & 2.33625469597921 & 227.940179940986 \tabularnewline
Trimmed Mean ( 45 / 48 ) & 532.4 & 2.31662124801056 & 229.817455251784 \tabularnewline
Trimmed Mean ( 46 / 48 ) & 532.283018867925 & 2.29490781005893 & 231.940915680728 \tabularnewline
Trimmed Mean ( 47 / 48 ) & 532.156862745098 & 2.27456051329544 & 233.960301181038 \tabularnewline
Trimmed Mean ( 48 / 48 ) & 532.020408163265 & 2.24640487456620 & 236.831932741422 \tabularnewline
Median & 527 &  &  \tabularnewline
Midrange & 530 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 532.783783783784 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 532.783783783784 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 532.783783783784 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 532.783783783784 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 532.783783783784 &  &  \tabularnewline
Midmean - Closest Observation & 532.783783783784 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 532.783783783784 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 532.783783783784 &  &  \tabularnewline
Number of observations & 145 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=39120&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]532.937931034483[/C][C]4.01156399175292[/C][C]132.850412490019[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]530.745836821732[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]528.538222631524[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]535.107633388223[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 48 )[/C][C]532.965517241379[/C][C]4.00448041450374[/C][C]133.092302140134[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 48 )[/C][C]532.979310344828[/C][C]3.99311511125289[/C][C]133.47456697225[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 48 )[/C][C]532.937931034483[/C][C]3.96675867624448[/C][C]134.350983896767[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 48 )[/C][C]532.937931034483[/C][C]3.95815299879178[/C][C]134.643085094781[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 48 )[/C][C]533.110344827586[/C][C]3.93158831885338[/C][C]135.596685510314[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 48 )[/C][C]533.110344827586[/C][C]3.84624409073269[/C][C]138.605437473947[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 48 )[/C][C]533.110344827586[/C][C]3.83253511481139[/C][C]139.101229044792[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 48 )[/C][C]533.110344827586[/C][C]3.81700818179661[/C][C]139.667068928487[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 48 )[/C][C]533.296551724138[/C][C]3.79161613125261[/C][C]140.651514621539[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 48 )[/C][C]533.020689655172[/C][C]3.75310176912609[/C][C]142.021379233552[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 48 )[/C][C]532.489655172414[/C][C]3.66299603680503[/C][C]145.369978515419[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 48 )[/C][C]532.406896551724[/C][C]3.63115637291638[/C][C]146.621858679173[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 48 )[/C][C]532.406896551724[/C][C]3.58525738977433[/C][C]148.498932899553[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 48 )[/C][C]532.696551724138[/C][C]3.54743882758167[/C][C]150.163703340667[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 48 )[/C][C]532.8[/C][C]3.508495436777[/C][C]151.859966644119[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 48 )[/C][C]532.910344827586[/C][C]3.49463076450270[/C][C]152.494034631845[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 48 )[/C][C]532.910344827586[/C][C]3.46585585734417[/C][C]153.760100466482[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 48 )[/C][C]532.662068965517[/C][C]3.43627288357993[/C][C]155.011574171195[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 48 )[/C][C]533.055172413793[/C][C]3.35668229445313[/C][C]158.804177951145[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 48 )[/C][C]532.91724137931[/C][C]3.34051673464339[/C][C]159.531379038639[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 48 )[/C][C]532.91724137931[/C][C]3.30632019076463[/C][C]161.181377069251[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 48 )[/C][C]533.220689655172[/C][C]3.27038945982268[/C][C]163.045012285504[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 48 )[/C][C]532.744827586207[/C][C]3.17934213463051[/C][C]167.56448504971[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 48 )[/C][C]533.075862068966[/C][C]3.14085186785474[/C][C]169.723337647588[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 48 )[/C][C]532.903448275862[/C][C]3.00545997617406[/C][C]177.311776733173[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 48 )[/C][C]533.08275862069[/C][C]2.98530088987552[/C][C]178.569188931210[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 48 )[/C][C]533.641379310345[/C][C]2.92377091873759[/C][C]182.518191110799[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 48 )[/C][C]533.641379310345[/C][C]2.8817312648083[/C][C]185.180827173988[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 48 )[/C][C]533.641379310345[/C][C]2.838512437942[/C][C]188.000366733376[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 48 )[/C][C]534.055172413793[/C][C]2.79479845451761[/C][C]191.088975146142[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 48 )[/C][C]533.2[/C][C]2.70326182991452[/C][C]197.243194906081[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 48 )[/C][C]533.2[/C][C]2.65694348058137[/C][C]200.681724657286[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 48 )[/C][C]533.2[/C][C]2.65694348058137[/C][C]200.681724657286[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 48 )[/C][C]534.606896551724[/C][C]2.51370375467299[/C][C]212.676969415305[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 48 )[/C][C]534.848275862069[/C][C]2.44115282409411[/C][C]219.096596732139[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 48 )[/C][C]534.103448275862[/C][C]2.36359125373749[/C][C]225.971156151174[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 48 )[/C][C]534.358620689655[/C][C]2.33892343227333[/C][C]228.463494493397[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 48 )[/C][C]534.620689655172[/C][C]2.31389830801589[/C][C]231.047616830489[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 48 )[/C][C]534.08275862069[/C][C]2.25892235708802[/C][C]236.432543573200[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 48 )[/C][C]534.358620689655[/C][C]2.17887093028695[/C][C]245.245651434379[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 48 )[/C][C]534.641379310345[/C][C]2.15257744157106[/C][C]248.372657347991[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 48 )[/C][C]534.641379310345[/C][C]2.09671965701701[/C][C]254.989443877764[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 48 )[/C][C]534.937931034483[/C][C]2.06974235096841[/C][C]258.456290844215[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 48 )[/C][C]534.634482758621[/C][C]1.98161602927056[/C][C]269.797213416477[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 48 )[/C][C]534.324137931034[/C][C]1.95090318897208[/C][C]273.885521819545[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 48 )[/C][C]534.324137931034[/C][C]1.89127059904052[/C][C]282.521252221712[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 48 )[/C][C]534.324137931034[/C][C]1.89127059904052[/C][C]282.521252221712[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 48 )[/C][C]534.324137931034[/C][C]1.89127059904052[/C][C]282.521252221712[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 48 )[/C][C]532.979020979021[/C][C]3.94732215115792[/C][C]135.022934680585[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 48 )[/C][C]532.992907801418[/C][C]3.88513516152178[/C][C]137.187738815411[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 48 )[/C][C]533[/C][C]3.82385054211169[/C][C]139.388293064837[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 48 )[/C][C]533.021897810219[/C][C]3.76740938311619[/C][C]141.482340676588[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 48 )[/C][C]533.044444444444[/C][C]3.70842893709721[/C][C]143.738616402257[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 48 )[/C][C]533.03007518797[/C][C]3.65076513997695[/C][C]146.005030384216[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 48 )[/C][C]533.015267175572[/C][C]3.60647920780299[/C][C]147.793800120167[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 48 )[/C][C]533[/C][C]3.56057424490606[/C][C]149.694954616530[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 48 )[/C][C]532.984251968504[/C][C]3.51291623283828[/C][C]151.721309772843[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 48 )[/C][C]532.944[/C][C]3.46466595699331[/C][C]153.822621463483[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 48 )[/C][C]532.934959349593[/C][C]3.41745914886671[/C][C]155.944792939610[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 48 )[/C][C]532.98347107438[/C][C]3.3783051048848[/C][C]157.766529229027[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 48 )[/C][C]533.042016806723[/C][C]3.33927342974428[/C][C]159.628143074089[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 48 )[/C][C]533.102564102564[/C][C]3.30193846323629[/C][C]161.451392882731[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 48 )[/C][C]533.139130434783[/C][C]3.26518951073911[/C][C]163.279689794820[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 48 )[/C][C]533.16814159292[/C][C]3.22896045626756[/C][C]165.120678563287[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 48 )[/C][C]533.189189189189[/C][C]3.19016490023096[/C][C]167.135306751882[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 48 )[/C][C]533.211009174312[/C][C]3.1501412627499[/C][C]169.265745469728[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 48 )[/C][C]533.252336448598[/C][C]3.10868469828184[/C][C]171.53632105029[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 48 )[/C][C]533.266666666667[/C][C]3.07111279860148[/C][C]173.639557267159[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 48 )[/C][C]533.291262135922[/C][C]3.03060821522516[/C][C]175.968394547595[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 48 )[/C][C]533.316831683168[/C][C]2.98872238981476[/C][C]178.443081063887[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 48 )[/C][C]533.323232323232[/C][C]2.94538440225056[/C][C]181.070841522662[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 48 )[/C][C]533.360824742268[/C][C]2.90618584129049[/C][C]183.526055754724[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 48 )[/C][C]533.378947368421[/C][C]2.86583844614637[/C][C]186.116195100127[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 48 )[/C][C]533.408602150538[/C][C]2.83425733190457[/C][C]188.200484178371[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 48 )[/C][C]533.428571428571[/C][C]2.80014576880037[/C][C]190.500286582259[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 48 )[/C][C]533.415730337079[/C][C]2.76745131291362[/C][C]192.746202199846[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 48 )[/C][C]533.402298850575[/C][C]2.73416608848889[/C][C]195.087745801636[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 48 )[/C][C]533.388235294118[/C][C]2.70024867189991[/C][C]197.533005328292[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 48 )[/C][C]533.349397590361[/C][C]2.66552713196747[/C][C]200.091528311208[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 48 )[/C][C]533.358024691358[/C][C]2.63507377095736[/C][C]202.407245888065[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 48 )[/C][C]533.367088607595[/C][C]2.60434169334458[/C][C]204.799197421221[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 48 )[/C][C]533.376623376623[/C][C]2.56807779640065[/C][C]207.694885304561[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 48 )[/C][C]533.306666666667[/C][C]2.54126118461059[/C][C]209.859053408707[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 48 )[/C][C]533.219178082192[/C][C]2.51708368247660[/C][C]211.840067850882[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 48 )[/C][C]533.169014084507[/C][C]2.49675732683249[/C][C]213.544587755716[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 48 )[/C][C]533.101449275362[/C][C]2.47434792770166[/C][C]215.451288522121[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 48 )[/C][C]533.014925373134[/C][C]2.44944289231834[/C][C]217.606594154416[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 48 )[/C][C]532.953846153846[/C][C]2.42556801131504[/C][C]219.723315803832[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 48 )[/C][C]532.873015873016[/C][C]2.40545676634028[/C][C]221.526748403690[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 48 )[/C][C]532.770491803279[/C][C]2.38281569249158[/C][C]223.588628143619[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 48 )[/C][C]532.661016949153[/C][C]2.36111720199352[/C][C]225.597025213073[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 48 )[/C][C]532.526315789474[/C][C]2.33625469597921[/C][C]227.940179940986[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 48 )[/C][C]532.4[/C][C]2.31662124801056[/C][C]229.817455251784[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 48 )[/C][C]532.283018867925[/C][C]2.29490781005893[/C][C]231.940915680728[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 48 )[/C][C]532.156862745098[/C][C]2.27456051329544[/C][C]233.960301181038[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 48 )[/C][C]532.020408163265[/C][C]2.24640487456620[/C][C]236.831932741422[/C][/ROW]
[ROW][C]Median[/C][C]527[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]530[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]532.783783783784[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]532.783783783784[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]532.783783783784[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]532.783783783784[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]532.783783783784[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]532.783783783784[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]532.783783783784[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]532.783783783784[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]145[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=39120&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=39120&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 Mean532.9379310344834.01156399175292132.850412490019
Geometric Mean530.745836821732
Harmonic Mean528.538222631524
Quadratic Mean535.107633388223
Winsorized Mean ( 1 / 48 )532.9655172413794.00448041450374133.092302140134
Winsorized Mean ( 2 / 48 )532.9793103448283.99311511125289133.47456697225
Winsorized Mean ( 3 / 48 )532.9379310344833.96675867624448134.350983896767
Winsorized Mean ( 4 / 48 )532.9379310344833.95815299879178134.643085094781
Winsorized Mean ( 5 / 48 )533.1103448275863.93158831885338135.596685510314
Winsorized Mean ( 6 / 48 )533.1103448275863.84624409073269138.605437473947
Winsorized Mean ( 7 / 48 )533.1103448275863.83253511481139139.101229044792
Winsorized Mean ( 8 / 48 )533.1103448275863.81700818179661139.667068928487
Winsorized Mean ( 9 / 48 )533.2965517241383.79161613125261140.651514621539
Winsorized Mean ( 10 / 48 )533.0206896551723.75310176912609142.021379233552
Winsorized Mean ( 11 / 48 )532.4896551724143.66299603680503145.369978515419
Winsorized Mean ( 12 / 48 )532.4068965517243.63115637291638146.621858679173
Winsorized Mean ( 13 / 48 )532.4068965517243.58525738977433148.498932899553
Winsorized Mean ( 14 / 48 )532.6965517241383.54743882758167150.163703340667
Winsorized Mean ( 15 / 48 )532.83.508495436777151.859966644119
Winsorized Mean ( 16 / 48 )532.9103448275863.49463076450270152.494034631845
Winsorized Mean ( 17 / 48 )532.9103448275863.46585585734417153.760100466482
Winsorized Mean ( 18 / 48 )532.6620689655173.43627288357993155.011574171195
Winsorized Mean ( 19 / 48 )533.0551724137933.35668229445313158.804177951145
Winsorized Mean ( 20 / 48 )532.917241379313.34051673464339159.531379038639
Winsorized Mean ( 21 / 48 )532.917241379313.30632019076463161.181377069251
Winsorized Mean ( 22 / 48 )533.2206896551723.27038945982268163.045012285504
Winsorized Mean ( 23 / 48 )532.7448275862073.17934213463051167.56448504971
Winsorized Mean ( 24 / 48 )533.0758620689663.14085186785474169.723337647588
Winsorized Mean ( 25 / 48 )532.9034482758623.00545997617406177.311776733173
Winsorized Mean ( 26 / 48 )533.082758620692.98530088987552178.569188931210
Winsorized Mean ( 27 / 48 )533.6413793103452.92377091873759182.518191110799
Winsorized Mean ( 28 / 48 )533.6413793103452.8817312648083185.180827173988
Winsorized Mean ( 29 / 48 )533.6413793103452.838512437942188.000366733376
Winsorized Mean ( 30 / 48 )534.0551724137932.79479845451761191.088975146142
Winsorized Mean ( 31 / 48 )533.22.70326182991452197.243194906081
Winsorized Mean ( 32 / 48 )533.22.65694348058137200.681724657286
Winsorized Mean ( 33 / 48 )533.22.65694348058137200.681724657286
Winsorized Mean ( 34 / 48 )534.6068965517242.51370375467299212.676969415305
Winsorized Mean ( 35 / 48 )534.8482758620692.44115282409411219.096596732139
Winsorized Mean ( 36 / 48 )534.1034482758622.36359125373749225.971156151174
Winsorized Mean ( 37 / 48 )534.3586206896552.33892343227333228.463494493397
Winsorized Mean ( 38 / 48 )534.6206896551722.31389830801589231.047616830489
Winsorized Mean ( 39 / 48 )534.082758620692.25892235708802236.432543573200
Winsorized Mean ( 40 / 48 )534.3586206896552.17887093028695245.245651434379
Winsorized Mean ( 41 / 48 )534.6413793103452.15257744157106248.372657347991
Winsorized Mean ( 42 / 48 )534.6413793103452.09671965701701254.989443877764
Winsorized Mean ( 43 / 48 )534.9379310344832.06974235096841258.456290844215
Winsorized Mean ( 44 / 48 )534.6344827586211.98161602927056269.797213416477
Winsorized Mean ( 45 / 48 )534.3241379310341.95090318897208273.885521819545
Winsorized Mean ( 46 / 48 )534.3241379310341.89127059904052282.521252221712
Winsorized Mean ( 47 / 48 )534.3241379310341.89127059904052282.521252221712
Winsorized Mean ( 48 / 48 )534.3241379310341.89127059904052282.521252221712
Trimmed Mean ( 1 / 48 )532.9790209790213.94732215115792135.022934680585
Trimmed Mean ( 2 / 48 )532.9929078014183.88513516152178137.187738815411
Trimmed Mean ( 3 / 48 )5333.82385054211169139.388293064837
Trimmed Mean ( 4 / 48 )533.0218978102193.76740938311619141.482340676588
Trimmed Mean ( 5 / 48 )533.0444444444443.70842893709721143.738616402257
Trimmed Mean ( 6 / 48 )533.030075187973.65076513997695146.005030384216
Trimmed Mean ( 7 / 48 )533.0152671755723.60647920780299147.793800120167
Trimmed Mean ( 8 / 48 )5333.56057424490606149.694954616530
Trimmed Mean ( 9 / 48 )532.9842519685043.51291623283828151.721309772843
Trimmed Mean ( 10 / 48 )532.9443.46466595699331153.822621463483
Trimmed Mean ( 11 / 48 )532.9349593495933.41745914886671155.944792939610
Trimmed Mean ( 12 / 48 )532.983471074383.3783051048848157.766529229027
Trimmed Mean ( 13 / 48 )533.0420168067233.33927342974428159.628143074089
Trimmed Mean ( 14 / 48 )533.1025641025643.30193846323629161.451392882731
Trimmed Mean ( 15 / 48 )533.1391304347833.26518951073911163.279689794820
Trimmed Mean ( 16 / 48 )533.168141592923.22896045626756165.120678563287
Trimmed Mean ( 17 / 48 )533.1891891891893.19016490023096167.135306751882
Trimmed Mean ( 18 / 48 )533.2110091743123.1501412627499169.265745469728
Trimmed Mean ( 19 / 48 )533.2523364485983.10868469828184171.53632105029
Trimmed Mean ( 20 / 48 )533.2666666666673.07111279860148173.639557267159
Trimmed Mean ( 21 / 48 )533.2912621359223.03060821522516175.968394547595
Trimmed Mean ( 22 / 48 )533.3168316831682.98872238981476178.443081063887
Trimmed Mean ( 23 / 48 )533.3232323232322.94538440225056181.070841522662
Trimmed Mean ( 24 / 48 )533.3608247422682.90618584129049183.526055754724
Trimmed Mean ( 25 / 48 )533.3789473684212.86583844614637186.116195100127
Trimmed Mean ( 26 / 48 )533.4086021505382.83425733190457188.200484178371
Trimmed Mean ( 27 / 48 )533.4285714285712.80014576880037190.500286582259
Trimmed Mean ( 28 / 48 )533.4157303370792.76745131291362192.746202199846
Trimmed Mean ( 29 / 48 )533.4022988505752.73416608848889195.087745801636
Trimmed Mean ( 30 / 48 )533.3882352941182.70024867189991197.533005328292
Trimmed Mean ( 31 / 48 )533.3493975903612.66552713196747200.091528311208
Trimmed Mean ( 32 / 48 )533.3580246913582.63507377095736202.407245888065
Trimmed Mean ( 33 / 48 )533.3670886075952.60434169334458204.799197421221
Trimmed Mean ( 34 / 48 )533.3766233766232.56807779640065207.694885304561
Trimmed Mean ( 35 / 48 )533.3066666666672.54126118461059209.859053408707
Trimmed Mean ( 36 / 48 )533.2191780821922.51708368247660211.840067850882
Trimmed Mean ( 37 / 48 )533.1690140845072.49675732683249213.544587755716
Trimmed Mean ( 38 / 48 )533.1014492753622.47434792770166215.451288522121
Trimmed Mean ( 39 / 48 )533.0149253731342.44944289231834217.606594154416
Trimmed Mean ( 40 / 48 )532.9538461538462.42556801131504219.723315803832
Trimmed Mean ( 41 / 48 )532.8730158730162.40545676634028221.526748403690
Trimmed Mean ( 42 / 48 )532.7704918032792.38281569249158223.588628143619
Trimmed Mean ( 43 / 48 )532.6610169491532.36111720199352225.597025213073
Trimmed Mean ( 44 / 48 )532.5263157894742.33625469597921227.940179940986
Trimmed Mean ( 45 / 48 )532.42.31662124801056229.817455251784
Trimmed Mean ( 46 / 48 )532.2830188679252.29490781005893231.940915680728
Trimmed Mean ( 47 / 48 )532.1568627450982.27456051329544233.960301181038
Trimmed Mean ( 48 / 48 )532.0204081632652.24640487456620236.831932741422
Median527
Midrange530
Midmean - Weighted Average at Xnp532.783783783784
Midmean - Weighted Average at X(n+1)p532.783783783784
Midmean - Empirical Distribution Function532.783783783784
Midmean - Empirical Distribution Function - Averaging532.783783783784
Midmean - Empirical Distribution Function - Interpolation532.783783783784
Midmean - Closest Observation532.783783783784
Midmean - True Basic - Statistics Graphics Toolkit532.783783783784
Midmean - MS Excel (old versions)532.783783783784
Number of observations145



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')