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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationMon, 15 Mar 2010 12:44:33 -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/2010/Mar/15/t12686788580jml99ntvik5672.htm/, Retrieved Tue, 18 Jan 2022 13:42:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=74447, Retrieved Tue, 18 Jan 2022 13:42:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP1W52
Estimated Impact145
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [] [2010-03-15 18:44:33] [64b736d20c8e0a8542a5a7c9128a9b74] [Current]
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Dataseries X:
182900
191400
189300
192200
187900
193900
189100
193100
194800
200200
211500
202100
200300
199200
204900
207300
200000
197700
202200
200200
208300
215100
210700
208100
209000
211000
210200
205500
211400
211700
209300
207500
203300
207100
206900
228700
226900
226500
227100
228100
226500
225200
217800
221300
215300
231300
227100
237800
230200
233400
231100
237200
243700
239700
248400
241000
254500
242800
268300
253900
262100
264100
261000
269300
260400
263200
279200
272200
269200
289600
283200
284300
283000
289100
289600
289100
287400
279600
289300
295000
299600
293600
294400
290200
301000
307900
298800
310300
293900
305000
311300
317300
296200
306800
291800
301900
314600
321500
329400
311700
309700
306500
307100
301300
292200
310100
316800
284400
284600
301200
287600
314300
298200
299400
301900
265500
287100
274000
290100
263100
245200
258600
259800
269800
274600
274800
271100
257800
290300
262200
270000
290600




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=74447&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=74447&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74447&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 Mean2554253562.1219986464371.7058540097895
Geometric Mean252077.682334149
Harmonic Mean248674.934074592
Quadratic Mean258658.369370594
Winsorized Mean ( 1 / 44 )255403.0303030303547.4259383534871.9967195204008
Winsorized Mean ( 2 / 44 )255357.5757575763536.0242702244272.2160133084632
Winsorized Mean ( 3 / 44 )255350.7575757583533.8609394356772.2582925451886
Winsorized Mean ( 4 / 44 )255347.7272727273516.1907766737672.6205554507143
Winsorized Mean ( 5 / 44 )255366.6666666673510.5471541645972.7426966373955
Winsorized Mean ( 6 / 44 )255289.3939393943490.091267401973.1469106048441
Winsorized Mean ( 7 / 44 )255310.6060606063481.7393602113373.328465932358
Winsorized Mean ( 8 / 44 )255304.5454545453467.0448551090273.6375086345739
Winsorized Mean ( 9 / 44 )255488.6363636363439.5410408908274.279862727693
Winsorized Mean ( 10 / 44 )255571.9696969703421.4412030040974.6971683957545
Winsorized Mean ( 11 / 44 )255488.6363636363395.1939143567675.250086683794
Winsorized Mean ( 12 / 44 )255434.0909090913384.4044748991275.4738663193338
Winsorized Mean ( 13 / 44 )255404.5454545453380.9687094585375.5418246670047
Winsorized Mean ( 14 / 44 )255383.3333333333375.9622931674775.6475668730653
Winsorized Mean ( 15 / 44 )255417.4242424243331.1912205993476.6745009001524
Winsorized Mean ( 16 / 44 )255053.7878787883287.9198357458277.5729946654653
Winsorized Mean ( 17 / 44 )255195.4545454553270.6480097169778.0259611512086
Winsorized Mean ( 18 / 44 )255331.8181818183235.5572999336778.9143243382067
Winsorized Mean ( 19 / 44 )255403.7878787883223.7556537429179.225541669777
Winsorized Mean ( 20 / 44 )255585.6060606063195.6002768668779.9804681176192
Winsorized Mean ( 21 / 44 )255394.6969696973167.9541889406980.6181787164974
Winsorized Mean ( 22 / 44 )255394.6969696973160.5318750249580.8075055302774
Winsorized Mean ( 23 / 44 )2553253145.4142834199081.1737268905622
Winsorized Mean ( 24 / 44 )2553253121.3089003937281.800618954373
Winsorized Mean ( 25 / 44 )254984.0909090913077.7045976667582.84878643077
Winsorized Mean ( 26 / 44 )254885.6060606063037.777246571483.9052983059518
Winsorized Mean ( 27 / 44 )254824.2424242423018.3794156848484.4241917036878
Winsorized Mean ( 28 / 44 )254909.0909090912985.8844521797985.37138492516
Winsorized Mean ( 29 / 44 )254953.0303030302966.7905973499685.935633789174
Winsorized Mean ( 30 / 44 )254703.0303030302927.6482283899786.9991919907336
Winsorized Mean ( 31 / 44 )254703.0303030302907.7898239354787.593342615908
Winsorized Mean ( 32 / 44 )254436.3636363642876.9070398674688.4409402564796
Winsorized Mean ( 33 / 44 )254411.3636363642864.0273816110388.8299341234846
Winsorized Mean ( 34 / 44 )255261.3636363642763.0975604019092.3823202244205
Winsorized Mean ( 35 / 44 )255287.8787878792754.658752349592.6749560431538
Winsorized Mean ( 36 / 44 )255833.3333333332666.5857754328495.9404102768104
Winsorized Mean ( 37 / 44 )256814.3939393942561.22624273996100.270093150638
Winsorized Mean ( 38 / 44 )257850.7575757582435.84214751882105.856924201105
Winsorized Mean ( 39 / 44 )258175.7575757582390.93851890228107.980926960134
Winsorized Mean ( 40 / 44 )258175.7575757582390.93851890228107.980926960134
Winsorized Mean ( 41 / 44 )257834.0909090912332.67203284095110.531650947551
Winsorized Mean ( 42 / 44 )257834.0909090912320.03883304658111.133523817148
Winsorized Mean ( 43 / 44 )257736.3636363642310.54499488898111.547866069039
Winsorized Mean ( 44 / 44 )257236.3636363642196.73944887738117.099168846730
Trimmed Mean ( 1 / 44 )255413.8461538463527.5644708242172.4051532626331
Trimmed Mean ( 2 / 44 )2554253505.4400916604672.8653160005967
Trimmed Mean ( 3 / 44 )255460.3174603173487.1905423361773.2567705604
Trimmed Mean ( 4 / 44 )255499.1935483873467.5437728131573.6830477964251
Trimmed Mean ( 5 / 44 )255540.1639344263450.7989449403474.052463795118
Trimmed Mean ( 6 / 44 )255578.3333333333433.2492680959674.4421139788299
Trimmed Mean ( 7 / 44 )255632.2033898313417.7458003373474.7955577517202
Trimmed Mean ( 8 / 44 )255684.4827586213401.6224639837275.1654498598244
Trimmed Mean ( 9 / 44 )255739.4736842113385.7181568150675.5347792814463
Trimmed Mean ( 10 / 44 )255772.3214285713371.8462575267975.855273904504
Trimmed Mean ( 11 / 44 )255796.3636363643358.4201196700776.1656834230415
Trimmed Mean ( 12 / 44 )255830.5555555563346.37750400876.4499986176527
Trimmed Mean ( 13 / 44 )255871.6981132083333.5587762173876.7563181842402
Trimmed Mean ( 14 / 44 )255917.3076923083318.8497568533577.110241933623
Trimmed Mean ( 15 / 44 )255966.6666666673302.193999938177.5141214209294
Trimmed Mean ( 16 / 44 )2560153288.0544046102477.8621544829177
Trimmed Mean ( 17 / 44 )256095.9183673473276.1556288642578.1696437467862
Trimmed Mean ( 18 / 44 )256168.753263.6996391257978.490295776304
Trimmed Mean ( 19 / 44 )256234.0425531913252.47580168178.7812294931635
Trimmed Mean ( 20 / 44 )256296.7391304353239.9255634476779.1057492252089
Trimmed Mean ( 21 / 44 )256348.8888888893227.5964567308879.4240830058835
Trimmed Mean ( 22 / 44 )256417.0454545453215.254841029979.750146763611
Trimmed Mean ( 23 / 44 )256488.3720930233200.6802537069680.1355811146596
Trimmed Mean ( 24 / 44 )256567.8571428573184.3250269055980.572132233681
Trimmed Mean ( 25 / 44 )256651.2195121953166.8598067389781.0428105993356
Trimmed Mean ( 26 / 44 )256761.253149.987690226181.5118264736998
Trimmed Mean ( 27 / 44 )256883.3333333333133.3236355692781.984296297137
Trimmed Mean ( 28 / 44 )257015.7894736843114.5442924422382.5211540890139
Trimmed Mean ( 29 / 44 )2571503094.7850284720383.0913933065525
Trimmed Mean ( 30 / 44 )257288.8888888893072.2619115803383.7457535502052
Trimmed Mean ( 31 / 44 )257451.4285714293048.5313593079284.4509694103573
Trimmed Mean ( 32 / 44 )257623.5294117653021.1880673374885.2722583532523
Trimmed Mean ( 33 / 44 )257822.7272727272990.5755583083486.211741601529
Trimmed Mean ( 34 / 44 )258035.93752953.9625384404387.3524745632801
Trimmed Mean ( 35 / 44 )258209.6774193552922.5374811637788.3511944957278
Trimmed Mean ( 36 / 44 )258393.3333333332883.9443198377989.5971990707042
Trimmed Mean ( 37 / 44 )258555.1724137932848.2205654896490.7777914205688
Trimmed Mean ( 38 / 44 )258666.0714285712818.4829169526691.7749296519564
Trimmed Mean ( 39 / 44 )258718.5185185192798.1526226689292.4604742509539
Trimmed Mean ( 40 / 44 )258753.8461538462776.7178199671293.1869433376238
Trimmed Mean ( 41 / 44 )2587922746.8777674639594.2131474015056
Trimmed Mean ( 42 / 44 )258856.252715.7667867114495.3160820975548
Trimmed Mean ( 43 / 44 )258926.0869565222675.2984117855996.7840020447309
Trimmed Mean ( 44 / 44 )259009.0909090912622.1205251539498.7784842170382
Median262150
Midrange256150
Midmean - Weighted Average at Xnp257131.343283582
Midmean - Weighted Average at X(n+1)p257822.727272727
Midmean - Empirical Distribution Function257131.343283582
Midmean - Empirical Distribution Function - Averaging257822.727272727
Midmean - Empirical Distribution Function - Interpolation257822.727272727
Midmean - Closest Observation257131.343283582
Midmean - True Basic - Statistics Graphics Toolkit257822.727272727
Midmean - MS Excel (old versions)257623.529411765
Number of observations132

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 255425 & 3562.12199864643 & 71.7058540097895 \tabularnewline
Geometric Mean & 252077.682334149 &  &  \tabularnewline
Harmonic Mean & 248674.934074592 &  &  \tabularnewline
Quadratic Mean & 258658.369370594 &  &  \tabularnewline
Winsorized Mean ( 1 / 44 ) & 255403.030303030 & 3547.42593835348 & 71.9967195204008 \tabularnewline
Winsorized Mean ( 2 / 44 ) & 255357.575757576 & 3536.02427022442 & 72.2160133084632 \tabularnewline
Winsorized Mean ( 3 / 44 ) & 255350.757575758 & 3533.86093943567 & 72.2582925451886 \tabularnewline
Winsorized Mean ( 4 / 44 ) & 255347.727272727 & 3516.19077667376 & 72.6205554507143 \tabularnewline
Winsorized Mean ( 5 / 44 ) & 255366.666666667 & 3510.54715416459 & 72.7426966373955 \tabularnewline
Winsorized Mean ( 6 / 44 ) & 255289.393939394 & 3490.0912674019 & 73.1469106048441 \tabularnewline
Winsorized Mean ( 7 / 44 ) & 255310.606060606 & 3481.73936021133 & 73.328465932358 \tabularnewline
Winsorized Mean ( 8 / 44 ) & 255304.545454545 & 3467.04485510902 & 73.6375086345739 \tabularnewline
Winsorized Mean ( 9 / 44 ) & 255488.636363636 & 3439.54104089082 & 74.279862727693 \tabularnewline
Winsorized Mean ( 10 / 44 ) & 255571.969696970 & 3421.44120300409 & 74.6971683957545 \tabularnewline
Winsorized Mean ( 11 / 44 ) & 255488.636363636 & 3395.19391435676 & 75.250086683794 \tabularnewline
Winsorized Mean ( 12 / 44 ) & 255434.090909091 & 3384.40447489912 & 75.4738663193338 \tabularnewline
Winsorized Mean ( 13 / 44 ) & 255404.545454545 & 3380.96870945853 & 75.5418246670047 \tabularnewline
Winsorized Mean ( 14 / 44 ) & 255383.333333333 & 3375.96229316747 & 75.6475668730653 \tabularnewline
Winsorized Mean ( 15 / 44 ) & 255417.424242424 & 3331.19122059934 & 76.6745009001524 \tabularnewline
Winsorized Mean ( 16 / 44 ) & 255053.787878788 & 3287.91983574582 & 77.5729946654653 \tabularnewline
Winsorized Mean ( 17 / 44 ) & 255195.454545455 & 3270.64800971697 & 78.0259611512086 \tabularnewline
Winsorized Mean ( 18 / 44 ) & 255331.818181818 & 3235.55729993367 & 78.9143243382067 \tabularnewline
Winsorized Mean ( 19 / 44 ) & 255403.787878788 & 3223.75565374291 & 79.225541669777 \tabularnewline
Winsorized Mean ( 20 / 44 ) & 255585.606060606 & 3195.60027686687 & 79.9804681176192 \tabularnewline
Winsorized Mean ( 21 / 44 ) & 255394.696969697 & 3167.95418894069 & 80.6181787164974 \tabularnewline
Winsorized Mean ( 22 / 44 ) & 255394.696969697 & 3160.53187502495 & 80.8075055302774 \tabularnewline
Winsorized Mean ( 23 / 44 ) & 255325 & 3145.41428341990 & 81.1737268905622 \tabularnewline
Winsorized Mean ( 24 / 44 ) & 255325 & 3121.30890039372 & 81.800618954373 \tabularnewline
Winsorized Mean ( 25 / 44 ) & 254984.090909091 & 3077.70459766675 & 82.84878643077 \tabularnewline
Winsorized Mean ( 26 / 44 ) & 254885.606060606 & 3037.7772465714 & 83.9052983059518 \tabularnewline
Winsorized Mean ( 27 / 44 ) & 254824.242424242 & 3018.37941568484 & 84.4241917036878 \tabularnewline
Winsorized Mean ( 28 / 44 ) & 254909.090909091 & 2985.88445217979 & 85.37138492516 \tabularnewline
Winsorized Mean ( 29 / 44 ) & 254953.030303030 & 2966.79059734996 & 85.935633789174 \tabularnewline
Winsorized Mean ( 30 / 44 ) & 254703.030303030 & 2927.64822838997 & 86.9991919907336 \tabularnewline
Winsorized Mean ( 31 / 44 ) & 254703.030303030 & 2907.78982393547 & 87.593342615908 \tabularnewline
Winsorized Mean ( 32 / 44 ) & 254436.363636364 & 2876.90703986746 & 88.4409402564796 \tabularnewline
Winsorized Mean ( 33 / 44 ) & 254411.363636364 & 2864.02738161103 & 88.8299341234846 \tabularnewline
Winsorized Mean ( 34 / 44 ) & 255261.363636364 & 2763.09756040190 & 92.3823202244205 \tabularnewline
Winsorized Mean ( 35 / 44 ) & 255287.878787879 & 2754.6587523495 & 92.6749560431538 \tabularnewline
Winsorized Mean ( 36 / 44 ) & 255833.333333333 & 2666.58577543284 & 95.9404102768104 \tabularnewline
Winsorized Mean ( 37 / 44 ) & 256814.393939394 & 2561.22624273996 & 100.270093150638 \tabularnewline
Winsorized Mean ( 38 / 44 ) & 257850.757575758 & 2435.84214751882 & 105.856924201105 \tabularnewline
Winsorized Mean ( 39 / 44 ) & 258175.757575758 & 2390.93851890228 & 107.980926960134 \tabularnewline
Winsorized Mean ( 40 / 44 ) & 258175.757575758 & 2390.93851890228 & 107.980926960134 \tabularnewline
Winsorized Mean ( 41 / 44 ) & 257834.090909091 & 2332.67203284095 & 110.531650947551 \tabularnewline
Winsorized Mean ( 42 / 44 ) & 257834.090909091 & 2320.03883304658 & 111.133523817148 \tabularnewline
Winsorized Mean ( 43 / 44 ) & 257736.363636364 & 2310.54499488898 & 111.547866069039 \tabularnewline
Winsorized Mean ( 44 / 44 ) & 257236.363636364 & 2196.73944887738 & 117.099168846730 \tabularnewline
Trimmed Mean ( 1 / 44 ) & 255413.846153846 & 3527.56447082421 & 72.4051532626331 \tabularnewline
Trimmed Mean ( 2 / 44 ) & 255425 & 3505.44009166046 & 72.8653160005967 \tabularnewline
Trimmed Mean ( 3 / 44 ) & 255460.317460317 & 3487.19054233617 & 73.2567705604 \tabularnewline
Trimmed Mean ( 4 / 44 ) & 255499.193548387 & 3467.54377281315 & 73.6830477964251 \tabularnewline
Trimmed Mean ( 5 / 44 ) & 255540.163934426 & 3450.79894494034 & 74.052463795118 \tabularnewline
Trimmed Mean ( 6 / 44 ) & 255578.333333333 & 3433.24926809596 & 74.4421139788299 \tabularnewline
Trimmed Mean ( 7 / 44 ) & 255632.203389831 & 3417.74580033734 & 74.7955577517202 \tabularnewline
Trimmed Mean ( 8 / 44 ) & 255684.482758621 & 3401.62246398372 & 75.1654498598244 \tabularnewline
Trimmed Mean ( 9 / 44 ) & 255739.473684211 & 3385.71815681506 & 75.5347792814463 \tabularnewline
Trimmed Mean ( 10 / 44 ) & 255772.321428571 & 3371.84625752679 & 75.855273904504 \tabularnewline
Trimmed Mean ( 11 / 44 ) & 255796.363636364 & 3358.42011967007 & 76.1656834230415 \tabularnewline
Trimmed Mean ( 12 / 44 ) & 255830.555555556 & 3346.377504008 & 76.4499986176527 \tabularnewline
Trimmed Mean ( 13 / 44 ) & 255871.698113208 & 3333.55877621738 & 76.7563181842402 \tabularnewline
Trimmed Mean ( 14 / 44 ) & 255917.307692308 & 3318.84975685335 & 77.110241933623 \tabularnewline
Trimmed Mean ( 15 / 44 ) & 255966.666666667 & 3302.1939999381 & 77.5141214209294 \tabularnewline
Trimmed Mean ( 16 / 44 ) & 256015 & 3288.05440461024 & 77.8621544829177 \tabularnewline
Trimmed Mean ( 17 / 44 ) & 256095.918367347 & 3276.15562886425 & 78.1696437467862 \tabularnewline
Trimmed Mean ( 18 / 44 ) & 256168.75 & 3263.69963912579 & 78.490295776304 \tabularnewline
Trimmed Mean ( 19 / 44 ) & 256234.042553191 & 3252.475801681 & 78.7812294931635 \tabularnewline
Trimmed Mean ( 20 / 44 ) & 256296.739130435 & 3239.92556344767 & 79.1057492252089 \tabularnewline
Trimmed Mean ( 21 / 44 ) & 256348.888888889 & 3227.59645673088 & 79.4240830058835 \tabularnewline
Trimmed Mean ( 22 / 44 ) & 256417.045454545 & 3215.2548410299 & 79.750146763611 \tabularnewline
Trimmed Mean ( 23 / 44 ) & 256488.372093023 & 3200.68025370696 & 80.1355811146596 \tabularnewline
Trimmed Mean ( 24 / 44 ) & 256567.857142857 & 3184.32502690559 & 80.572132233681 \tabularnewline
Trimmed Mean ( 25 / 44 ) & 256651.219512195 & 3166.85980673897 & 81.0428105993356 \tabularnewline
Trimmed Mean ( 26 / 44 ) & 256761.25 & 3149.9876902261 & 81.5118264736998 \tabularnewline
Trimmed Mean ( 27 / 44 ) & 256883.333333333 & 3133.32363556927 & 81.984296297137 \tabularnewline
Trimmed Mean ( 28 / 44 ) & 257015.789473684 & 3114.54429244223 & 82.5211540890139 \tabularnewline
Trimmed Mean ( 29 / 44 ) & 257150 & 3094.78502847203 & 83.0913933065525 \tabularnewline
Trimmed Mean ( 30 / 44 ) & 257288.888888889 & 3072.26191158033 & 83.7457535502052 \tabularnewline
Trimmed Mean ( 31 / 44 ) & 257451.428571429 & 3048.53135930792 & 84.4509694103573 \tabularnewline
Trimmed Mean ( 32 / 44 ) & 257623.529411765 & 3021.18806733748 & 85.2722583532523 \tabularnewline
Trimmed Mean ( 33 / 44 ) & 257822.727272727 & 2990.57555830834 & 86.211741601529 \tabularnewline
Trimmed Mean ( 34 / 44 ) & 258035.9375 & 2953.96253844043 & 87.3524745632801 \tabularnewline
Trimmed Mean ( 35 / 44 ) & 258209.677419355 & 2922.53748116377 & 88.3511944957278 \tabularnewline
Trimmed Mean ( 36 / 44 ) & 258393.333333333 & 2883.94431983779 & 89.5971990707042 \tabularnewline
Trimmed Mean ( 37 / 44 ) & 258555.172413793 & 2848.22056548964 & 90.7777914205688 \tabularnewline
Trimmed Mean ( 38 / 44 ) & 258666.071428571 & 2818.48291695266 & 91.7749296519564 \tabularnewline
Trimmed Mean ( 39 / 44 ) & 258718.518518519 & 2798.15262266892 & 92.4604742509539 \tabularnewline
Trimmed Mean ( 40 / 44 ) & 258753.846153846 & 2776.71781996712 & 93.1869433376238 \tabularnewline
Trimmed Mean ( 41 / 44 ) & 258792 & 2746.87776746395 & 94.2131474015056 \tabularnewline
Trimmed Mean ( 42 / 44 ) & 258856.25 & 2715.76678671144 & 95.3160820975548 \tabularnewline
Trimmed Mean ( 43 / 44 ) & 258926.086956522 & 2675.29841178559 & 96.7840020447309 \tabularnewline
Trimmed Mean ( 44 / 44 ) & 259009.090909091 & 2622.12052515394 & 98.7784842170382 \tabularnewline
Median & 262150 &  &  \tabularnewline
Midrange & 256150 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 257131.343283582 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 257822.727272727 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 257131.343283582 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 257822.727272727 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 257822.727272727 &  &  \tabularnewline
Midmean - Closest Observation & 257131.343283582 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 257822.727272727 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 257623.529411765 &  &  \tabularnewline
Number of observations & 132 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74447&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]255425[/C][C]3562.12199864643[/C][C]71.7058540097895[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]252077.682334149[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]248674.934074592[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]258658.369370594[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 44 )[/C][C]255403.030303030[/C][C]3547.42593835348[/C][C]71.9967195204008[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 44 )[/C][C]255357.575757576[/C][C]3536.02427022442[/C][C]72.2160133084632[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 44 )[/C][C]255350.757575758[/C][C]3533.86093943567[/C][C]72.2582925451886[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 44 )[/C][C]255347.727272727[/C][C]3516.19077667376[/C][C]72.6205554507143[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 44 )[/C][C]255366.666666667[/C][C]3510.54715416459[/C][C]72.7426966373955[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 44 )[/C][C]255289.393939394[/C][C]3490.0912674019[/C][C]73.1469106048441[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 44 )[/C][C]255310.606060606[/C][C]3481.73936021133[/C][C]73.328465932358[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 44 )[/C][C]255304.545454545[/C][C]3467.04485510902[/C][C]73.6375086345739[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 44 )[/C][C]255488.636363636[/C][C]3439.54104089082[/C][C]74.279862727693[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 44 )[/C][C]255571.969696970[/C][C]3421.44120300409[/C][C]74.6971683957545[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 44 )[/C][C]255488.636363636[/C][C]3395.19391435676[/C][C]75.250086683794[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 44 )[/C][C]255434.090909091[/C][C]3384.40447489912[/C][C]75.4738663193338[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 44 )[/C][C]255404.545454545[/C][C]3380.96870945853[/C][C]75.5418246670047[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 44 )[/C][C]255383.333333333[/C][C]3375.96229316747[/C][C]75.6475668730653[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 44 )[/C][C]255417.424242424[/C][C]3331.19122059934[/C][C]76.6745009001524[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 44 )[/C][C]255053.787878788[/C][C]3287.91983574582[/C][C]77.5729946654653[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 44 )[/C][C]255195.454545455[/C][C]3270.64800971697[/C][C]78.0259611512086[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 44 )[/C][C]255331.818181818[/C][C]3235.55729993367[/C][C]78.9143243382067[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 44 )[/C][C]255403.787878788[/C][C]3223.75565374291[/C][C]79.225541669777[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 44 )[/C][C]255585.606060606[/C][C]3195.60027686687[/C][C]79.9804681176192[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 44 )[/C][C]255394.696969697[/C][C]3167.95418894069[/C][C]80.6181787164974[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 44 )[/C][C]255394.696969697[/C][C]3160.53187502495[/C][C]80.8075055302774[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 44 )[/C][C]255325[/C][C]3145.41428341990[/C][C]81.1737268905622[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 44 )[/C][C]255325[/C][C]3121.30890039372[/C][C]81.800618954373[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 44 )[/C][C]254984.090909091[/C][C]3077.70459766675[/C][C]82.84878643077[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 44 )[/C][C]254885.606060606[/C][C]3037.7772465714[/C][C]83.9052983059518[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 44 )[/C][C]254824.242424242[/C][C]3018.37941568484[/C][C]84.4241917036878[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 44 )[/C][C]254909.090909091[/C][C]2985.88445217979[/C][C]85.37138492516[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 44 )[/C][C]254953.030303030[/C][C]2966.79059734996[/C][C]85.935633789174[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 44 )[/C][C]254703.030303030[/C][C]2927.64822838997[/C][C]86.9991919907336[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 44 )[/C][C]254703.030303030[/C][C]2907.78982393547[/C][C]87.593342615908[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 44 )[/C][C]254436.363636364[/C][C]2876.90703986746[/C][C]88.4409402564796[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 44 )[/C][C]254411.363636364[/C][C]2864.02738161103[/C][C]88.8299341234846[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 44 )[/C][C]255261.363636364[/C][C]2763.09756040190[/C][C]92.3823202244205[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 44 )[/C][C]255287.878787879[/C][C]2754.6587523495[/C][C]92.6749560431538[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 44 )[/C][C]255833.333333333[/C][C]2666.58577543284[/C][C]95.9404102768104[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 44 )[/C][C]256814.393939394[/C][C]2561.22624273996[/C][C]100.270093150638[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 44 )[/C][C]257850.757575758[/C][C]2435.84214751882[/C][C]105.856924201105[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 44 )[/C][C]258175.757575758[/C][C]2390.93851890228[/C][C]107.980926960134[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 44 )[/C][C]258175.757575758[/C][C]2390.93851890228[/C][C]107.980926960134[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 44 )[/C][C]257834.090909091[/C][C]2332.67203284095[/C][C]110.531650947551[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 44 )[/C][C]257834.090909091[/C][C]2320.03883304658[/C][C]111.133523817148[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 44 )[/C][C]257736.363636364[/C][C]2310.54499488898[/C][C]111.547866069039[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 44 )[/C][C]257236.363636364[/C][C]2196.73944887738[/C][C]117.099168846730[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 44 )[/C][C]255413.846153846[/C][C]3527.56447082421[/C][C]72.4051532626331[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 44 )[/C][C]255425[/C][C]3505.44009166046[/C][C]72.8653160005967[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 44 )[/C][C]255460.317460317[/C][C]3487.19054233617[/C][C]73.2567705604[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 44 )[/C][C]255499.193548387[/C][C]3467.54377281315[/C][C]73.6830477964251[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 44 )[/C][C]255540.163934426[/C][C]3450.79894494034[/C][C]74.052463795118[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 44 )[/C][C]255578.333333333[/C][C]3433.24926809596[/C][C]74.4421139788299[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 44 )[/C][C]255632.203389831[/C][C]3417.74580033734[/C][C]74.7955577517202[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 44 )[/C][C]255684.482758621[/C][C]3401.62246398372[/C][C]75.1654498598244[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 44 )[/C][C]255739.473684211[/C][C]3385.71815681506[/C][C]75.5347792814463[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 44 )[/C][C]255772.321428571[/C][C]3371.84625752679[/C][C]75.855273904504[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 44 )[/C][C]255796.363636364[/C][C]3358.42011967007[/C][C]76.1656834230415[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 44 )[/C][C]255830.555555556[/C][C]3346.377504008[/C][C]76.4499986176527[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 44 )[/C][C]255871.698113208[/C][C]3333.55877621738[/C][C]76.7563181842402[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 44 )[/C][C]255917.307692308[/C][C]3318.84975685335[/C][C]77.110241933623[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 44 )[/C][C]255966.666666667[/C][C]3302.1939999381[/C][C]77.5141214209294[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 44 )[/C][C]256015[/C][C]3288.05440461024[/C][C]77.8621544829177[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 44 )[/C][C]256095.918367347[/C][C]3276.15562886425[/C][C]78.1696437467862[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 44 )[/C][C]256168.75[/C][C]3263.69963912579[/C][C]78.490295776304[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 44 )[/C][C]256234.042553191[/C][C]3252.475801681[/C][C]78.7812294931635[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 44 )[/C][C]256296.739130435[/C][C]3239.92556344767[/C][C]79.1057492252089[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 44 )[/C][C]256348.888888889[/C][C]3227.59645673088[/C][C]79.4240830058835[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 44 )[/C][C]256417.045454545[/C][C]3215.2548410299[/C][C]79.750146763611[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 44 )[/C][C]256488.372093023[/C][C]3200.68025370696[/C][C]80.1355811146596[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 44 )[/C][C]256567.857142857[/C][C]3184.32502690559[/C][C]80.572132233681[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 44 )[/C][C]256651.219512195[/C][C]3166.85980673897[/C][C]81.0428105993356[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 44 )[/C][C]256761.25[/C][C]3149.9876902261[/C][C]81.5118264736998[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 44 )[/C][C]256883.333333333[/C][C]3133.32363556927[/C][C]81.984296297137[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 44 )[/C][C]257015.789473684[/C][C]3114.54429244223[/C][C]82.5211540890139[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 44 )[/C][C]257150[/C][C]3094.78502847203[/C][C]83.0913933065525[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 44 )[/C][C]257288.888888889[/C][C]3072.26191158033[/C][C]83.7457535502052[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 44 )[/C][C]257451.428571429[/C][C]3048.53135930792[/C][C]84.4509694103573[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 44 )[/C][C]257623.529411765[/C][C]3021.18806733748[/C][C]85.2722583532523[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 44 )[/C][C]257822.727272727[/C][C]2990.57555830834[/C][C]86.211741601529[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 44 )[/C][C]258035.9375[/C][C]2953.96253844043[/C][C]87.3524745632801[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 44 )[/C][C]258209.677419355[/C][C]2922.53748116377[/C][C]88.3511944957278[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 44 )[/C][C]258393.333333333[/C][C]2883.94431983779[/C][C]89.5971990707042[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 44 )[/C][C]258555.172413793[/C][C]2848.22056548964[/C][C]90.7777914205688[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 44 )[/C][C]258666.071428571[/C][C]2818.48291695266[/C][C]91.7749296519564[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 44 )[/C][C]258718.518518519[/C][C]2798.15262266892[/C][C]92.4604742509539[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 44 )[/C][C]258753.846153846[/C][C]2776.71781996712[/C][C]93.1869433376238[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 44 )[/C][C]258792[/C][C]2746.87776746395[/C][C]94.2131474015056[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 44 )[/C][C]258856.25[/C][C]2715.76678671144[/C][C]95.3160820975548[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 44 )[/C][C]258926.086956522[/C][C]2675.29841178559[/C][C]96.7840020447309[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 44 )[/C][C]259009.090909091[/C][C]2622.12052515394[/C][C]98.7784842170382[/C][/ROW]
[ROW][C]Median[/C][C]262150[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]256150[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]257131.343283582[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]257822.727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]257131.343283582[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]257822.727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]257822.727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]257131.343283582[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]257822.727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]257623.529411765[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]132[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74447&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74447&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 Mean2554253562.1219986464371.7058540097895
Geometric Mean252077.682334149
Harmonic Mean248674.934074592
Quadratic Mean258658.369370594
Winsorized Mean ( 1 / 44 )255403.0303030303547.4259383534871.9967195204008
Winsorized Mean ( 2 / 44 )255357.5757575763536.0242702244272.2160133084632
Winsorized Mean ( 3 / 44 )255350.7575757583533.8609394356772.2582925451886
Winsorized Mean ( 4 / 44 )255347.7272727273516.1907766737672.6205554507143
Winsorized Mean ( 5 / 44 )255366.6666666673510.5471541645972.7426966373955
Winsorized Mean ( 6 / 44 )255289.3939393943490.091267401973.1469106048441
Winsorized Mean ( 7 / 44 )255310.6060606063481.7393602113373.328465932358
Winsorized Mean ( 8 / 44 )255304.5454545453467.0448551090273.6375086345739
Winsorized Mean ( 9 / 44 )255488.6363636363439.5410408908274.279862727693
Winsorized Mean ( 10 / 44 )255571.9696969703421.4412030040974.6971683957545
Winsorized Mean ( 11 / 44 )255488.6363636363395.1939143567675.250086683794
Winsorized Mean ( 12 / 44 )255434.0909090913384.4044748991275.4738663193338
Winsorized Mean ( 13 / 44 )255404.5454545453380.9687094585375.5418246670047
Winsorized Mean ( 14 / 44 )255383.3333333333375.9622931674775.6475668730653
Winsorized Mean ( 15 / 44 )255417.4242424243331.1912205993476.6745009001524
Winsorized Mean ( 16 / 44 )255053.7878787883287.9198357458277.5729946654653
Winsorized Mean ( 17 / 44 )255195.4545454553270.6480097169778.0259611512086
Winsorized Mean ( 18 / 44 )255331.8181818183235.5572999336778.9143243382067
Winsorized Mean ( 19 / 44 )255403.7878787883223.7556537429179.225541669777
Winsorized Mean ( 20 / 44 )255585.6060606063195.6002768668779.9804681176192
Winsorized Mean ( 21 / 44 )255394.6969696973167.9541889406980.6181787164974
Winsorized Mean ( 22 / 44 )255394.6969696973160.5318750249580.8075055302774
Winsorized Mean ( 23 / 44 )2553253145.4142834199081.1737268905622
Winsorized Mean ( 24 / 44 )2553253121.3089003937281.800618954373
Winsorized Mean ( 25 / 44 )254984.0909090913077.7045976667582.84878643077
Winsorized Mean ( 26 / 44 )254885.6060606063037.777246571483.9052983059518
Winsorized Mean ( 27 / 44 )254824.2424242423018.3794156848484.4241917036878
Winsorized Mean ( 28 / 44 )254909.0909090912985.8844521797985.37138492516
Winsorized Mean ( 29 / 44 )254953.0303030302966.7905973499685.935633789174
Winsorized Mean ( 30 / 44 )254703.0303030302927.6482283899786.9991919907336
Winsorized Mean ( 31 / 44 )254703.0303030302907.7898239354787.593342615908
Winsorized Mean ( 32 / 44 )254436.3636363642876.9070398674688.4409402564796
Winsorized Mean ( 33 / 44 )254411.3636363642864.0273816110388.8299341234846
Winsorized Mean ( 34 / 44 )255261.3636363642763.0975604019092.3823202244205
Winsorized Mean ( 35 / 44 )255287.8787878792754.658752349592.6749560431538
Winsorized Mean ( 36 / 44 )255833.3333333332666.5857754328495.9404102768104
Winsorized Mean ( 37 / 44 )256814.3939393942561.22624273996100.270093150638
Winsorized Mean ( 38 / 44 )257850.7575757582435.84214751882105.856924201105
Winsorized Mean ( 39 / 44 )258175.7575757582390.93851890228107.980926960134
Winsorized Mean ( 40 / 44 )258175.7575757582390.93851890228107.980926960134
Winsorized Mean ( 41 / 44 )257834.0909090912332.67203284095110.531650947551
Winsorized Mean ( 42 / 44 )257834.0909090912320.03883304658111.133523817148
Winsorized Mean ( 43 / 44 )257736.3636363642310.54499488898111.547866069039
Winsorized Mean ( 44 / 44 )257236.3636363642196.73944887738117.099168846730
Trimmed Mean ( 1 / 44 )255413.8461538463527.5644708242172.4051532626331
Trimmed Mean ( 2 / 44 )2554253505.4400916604672.8653160005967
Trimmed Mean ( 3 / 44 )255460.3174603173487.1905423361773.2567705604
Trimmed Mean ( 4 / 44 )255499.1935483873467.5437728131573.6830477964251
Trimmed Mean ( 5 / 44 )255540.1639344263450.7989449403474.052463795118
Trimmed Mean ( 6 / 44 )255578.3333333333433.2492680959674.4421139788299
Trimmed Mean ( 7 / 44 )255632.2033898313417.7458003373474.7955577517202
Trimmed Mean ( 8 / 44 )255684.4827586213401.6224639837275.1654498598244
Trimmed Mean ( 9 / 44 )255739.4736842113385.7181568150675.5347792814463
Trimmed Mean ( 10 / 44 )255772.3214285713371.8462575267975.855273904504
Trimmed Mean ( 11 / 44 )255796.3636363643358.4201196700776.1656834230415
Trimmed Mean ( 12 / 44 )255830.5555555563346.37750400876.4499986176527
Trimmed Mean ( 13 / 44 )255871.6981132083333.5587762173876.7563181842402
Trimmed Mean ( 14 / 44 )255917.3076923083318.8497568533577.110241933623
Trimmed Mean ( 15 / 44 )255966.6666666673302.193999938177.5141214209294
Trimmed Mean ( 16 / 44 )2560153288.0544046102477.8621544829177
Trimmed Mean ( 17 / 44 )256095.9183673473276.1556288642578.1696437467862
Trimmed Mean ( 18 / 44 )256168.753263.6996391257978.490295776304
Trimmed Mean ( 19 / 44 )256234.0425531913252.47580168178.7812294931635
Trimmed Mean ( 20 / 44 )256296.7391304353239.9255634476779.1057492252089
Trimmed Mean ( 21 / 44 )256348.8888888893227.5964567308879.4240830058835
Trimmed Mean ( 22 / 44 )256417.0454545453215.254841029979.750146763611
Trimmed Mean ( 23 / 44 )256488.3720930233200.6802537069680.1355811146596
Trimmed Mean ( 24 / 44 )256567.8571428573184.3250269055980.572132233681
Trimmed Mean ( 25 / 44 )256651.2195121953166.8598067389781.0428105993356
Trimmed Mean ( 26 / 44 )256761.253149.987690226181.5118264736998
Trimmed Mean ( 27 / 44 )256883.3333333333133.3236355692781.984296297137
Trimmed Mean ( 28 / 44 )257015.7894736843114.5442924422382.5211540890139
Trimmed Mean ( 29 / 44 )2571503094.7850284720383.0913933065525
Trimmed Mean ( 30 / 44 )257288.8888888893072.2619115803383.7457535502052
Trimmed Mean ( 31 / 44 )257451.4285714293048.5313593079284.4509694103573
Trimmed Mean ( 32 / 44 )257623.5294117653021.1880673374885.2722583532523
Trimmed Mean ( 33 / 44 )257822.7272727272990.5755583083486.211741601529
Trimmed Mean ( 34 / 44 )258035.93752953.9625384404387.3524745632801
Trimmed Mean ( 35 / 44 )258209.6774193552922.5374811637788.3511944957278
Trimmed Mean ( 36 / 44 )258393.3333333332883.9443198377989.5971990707042
Trimmed Mean ( 37 / 44 )258555.1724137932848.2205654896490.7777914205688
Trimmed Mean ( 38 / 44 )258666.0714285712818.4829169526691.7749296519564
Trimmed Mean ( 39 / 44 )258718.5185185192798.1526226689292.4604742509539
Trimmed Mean ( 40 / 44 )258753.8461538462776.7178199671293.1869433376238
Trimmed Mean ( 41 / 44 )2587922746.8777674639594.2131474015056
Trimmed Mean ( 42 / 44 )258856.252715.7667867114495.3160820975548
Trimmed Mean ( 43 / 44 )258926.0869565222675.2984117855996.7840020447309
Trimmed Mean ( 44 / 44 )259009.0909090912622.1205251539498.7784842170382
Median262150
Midrange256150
Midmean - Weighted Average at Xnp257131.343283582
Midmean - Weighted Average at X(n+1)p257822.727272727
Midmean - Empirical Distribution Function257131.343283582
Midmean - Empirical Distribution Function - Averaging257822.727272727
Midmean - Empirical Distribution Function - Interpolation257822.727272727
Midmean - Closest Observation257131.343283582
Midmean - True Basic - Statistics Graphics Toolkit257822.727272727
Midmean - MS Excel (old versions)257623.529411765
Number of observations132



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')