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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationSun, 15 Mar 2009 03:37:49 -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/15/t1237109884uay26eexa4vr8s5.htm/, Retrieved Thu, 06 Oct 2022 23:23:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=39076, Retrieved Thu, 06 Oct 2022 23:23:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [] [2009-03-15 09:37:49] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
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Dataseries X:
112
118
132
129
121
135
148
148
136
119
104
118
115
126
141
135
125
149
170
170
158
133
114
140
145
150
178
163
172
178
199
199
184
162
146
166
171
180
193
181
183
218
230
242
209
191
172
194
196
196
236
235
229
243
264
272
237
211
180
201
204
188
235
227
234
264
302
293
259
229
203
229
242
233
267
269
270
315
364
347
312
274
237
278
284
277
317
313
318
374
413
405
355
306
271
306
315
301
356
348
355
422
465
467
404
347
305
336
340
318
362
348
363
435
491
505
404
359
310
337
360
342
406
396
420
472
548
559
463
407
362
405
417
391
419
461
472
535
622
606
508
461
390
432




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=39076&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=39076&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=39076&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 Mean280.2986111111119.997193078578628.0377310819092
Geometric Mean255.232771586034
Harmonic Mean231.659113395685
Quadratic Mean304.728214516185
Winsorized Mean ( 1 / 48 )280.2430555555569.9645069740258428.1241265911154
Winsorized Mean ( 2 / 48 )279.6180555555569.8216170003681628.4696558158472
Winsorized Mean ( 3 / 48 )279.4097222222229.7743500509972228.5860155165730
Winsorized Mean ( 4 / 48 )279.1319444444449.696588038729428.7866147689843
Winsorized Mean ( 5 / 48 )278.1944444444449.5309900099064929.1884100345599
Winsorized Mean ( 6 / 48 )278.1111111111119.5051314766914729.2590493664497
Winsorized Mean ( 7 / 48 )277.5277777777789.382813731304729.5783104861005
Winsorized Mean ( 8 / 48 )276.6944444444449.1946081765340230.093119699283
Winsorized Mean ( 9 / 48 )276.7569444444449.1874168963664430.1234773131825
Winsorized Mean ( 10 / 48 )276.6180555555569.1124962044078530.3559035143138
Winsorized Mean ( 11 / 48 )276.6944444444449.0644667186615930.5251762770331
Winsorized Mean ( 12 / 48 )276.6111111111119.0310486573546130.6289027560324
Winsorized Mean ( 13 / 48 )276.6111111111118.9850741245258330.7856237219088
Winsorized Mean ( 14 / 48 )276.6111111111118.9850741245258330.7856237219088
Winsorized Mean ( 15 / 48 )274.0069444444448.6015433404016731.8555558695411
Winsorized Mean ( 16 / 48 )274.1180555555568.5086711137958932.2163181405734
Winsorized Mean ( 17 / 48 )273.0555555555568.3453397061690432.7195255279671
Winsorized Mean ( 18 / 48 )273.3055555555568.2593879961929833.0902913970782
Winsorized Mean ( 19 / 48 )273.3055555555568.2287214569472133.2136112499972
Winsorized Mean ( 20 / 48 )273.3055555555568.1644975817981333.4748773966032
Winsorized Mean ( 21 / 48 )272.7222222222228.0932456973264233.6975093085726
Winsorized Mean ( 22 / 48 )271.9583333333337.9668777890411234.1361246569424
Winsorized Mean ( 23 / 48 )271.9583333333337.9307651116654734.2915632355958
Winsorized Mean ( 24 / 48 )273.1257.7702343504502435.1501624895231
Winsorized Mean ( 25 / 48 )273.8194444444447.6989896610193935.5656334792622
Winsorized Mean ( 26 / 48 )273.8194444444447.6591990892894535.7504017394392
Winsorized Mean ( 27 / 48 )274.3819444444447.6027026420772236.0900534141472
Winsorized Mean ( 28 / 48 )273.6041666666677.3421171352531437.2650233749279
Winsorized Mean ( 29 / 48 )272.5972222222227.2257237604357337.7259401632292
Winsorized Mean ( 30 / 48 )272.5972222222227.1812295758525837.9596863382352
Winsorized Mean ( 31 / 48 )269.3680555555566.776604786239439.7497071250983
Winsorized Mean ( 32 / 48 )267.1458333333336.5415040419706940.8385948582022
Winsorized Mean ( 33 / 48 )268.2916666666676.3797516456838742.0536223926797
Winsorized Mean ( 34 / 48 )268.0555555555566.3552923954298242.1783198753087
Winsorized Mean ( 35 / 48 )268.5416666666676.3073466602048242.5760119324005
Winsorized Mean ( 36 / 48 )268.0416666666676.2557423115635842.8472998593945
Winsorized Mean ( 37 / 48 )268.0416666666676.2041157589480343.2038467818846
Winsorized Mean ( 38 / 48 )267.7777777777786.071650694548344.1029616572334
Winsorized Mean ( 39 / 48 )267.7777777777786.0177593010267344.4979209673758
Winsorized Mean ( 40 / 48 )268.8888888888895.9104962334504945.4934540634864
Winsorized Mean ( 41 / 48 )267.755.6279399638063247.575134369222
Winsorized Mean ( 42 / 48 )268.3333333333335.5725507335798848.1526945490817
Winsorized Mean ( 43 / 48 )268.3333333333335.514540713890848.6592351485261
Winsorized Mean ( 44 / 48 )268.9444444444445.4571757413916749.2827164066846
Winsorized Mean ( 45 / 48 )267.3819444444445.3021285961704250.4291700200495
Winsorized Mean ( 46 / 48 )267.7013888888895.1495041653448151.985857335638
Winsorized Mean ( 47 / 48 )266.7222222222225.0538230165681352.776328206947
Winsorized Mean ( 48 / 48 )267.0555555555564.9591256421463953.851338890452
Trimmed Mean ( 1 / 48 )279.1338028169019.7670664859418828.5790829025961
Trimmed Mean ( 2 / 48 )277.9928571428579.5506788899452629.1071305345133
Trimmed Mean ( 3 / 48 )277.1449275362329.3959503776844629.4962102178036
Trimmed Mean ( 4 / 48 )276.3455882352949.2453684964841229.8901648258135
Trimmed Mean ( 5 / 48 )275.5970149253739.1045136697159930.2703719191593
Trimmed Mean ( 6 / 48 )275.0303030303038.992806512939930.58336712066
Trimmed Mean ( 7 / 48 )274.4615384615388.8758088403033430.9224255952045
Trimmed Mean ( 8 / 48 )273.968758.771310785799531.2346417417506
Trimmed Mean ( 9 / 48 )273.5793650793658.689503634788231.4838886750789
Trimmed Mean ( 10 / 48 )273.1693548387108.6001277884231931.7634064933813
Trimmed Mean ( 11 / 48 )272.7622950819678.5125094499631432.0425247907535
Trimmed Mean ( 12 / 48 )272.3333333333338.4220958998580232.3355773398311
Trimmed Mean ( 13 / 48 )271.8983050847468.326223736714132.6556568358622
Trimmed Mean ( 14 / 48 )271.4482758620698.2255985489442533.0004283879024
Trimmed Mean ( 15 / 48 )270.9824561403518.1135492916336633.3987563765437
Trimmed Mean ( 16 / 48 )270.7232142857148.0363176789761233.6874704435783
Trimmed Mean ( 17 / 48 )270.4454545454557.9603959897860133.9738695025302
Trimmed Mean ( 18 / 48 )270.2407407407417.8936539917867534.2351895613771
Trimmed Mean ( 19 / 48 )270.0094339622647.8275034636299634.4949619271135
Trimmed Mean ( 20 / 48 )269.7692307692317.7557855102809834.7829669105247
Trimmed Mean ( 21 / 48 )269.5196078431377.6812813492798335.0878447992803
Trimmed Mean ( 22 / 48 )269.37.6043647753355235.4138718954494
Trimmed Mean ( 23 / 48 )269.1224489795927.5303197410261235.7385155258919
Trimmed Mean ( 24 / 48 )268.93757.4495056426702236.1013888572076
Trimmed Mean ( 25 / 48 )268.6702127659577.3734948023350736.4372960134011
Trimmed Mean ( 26 / 48 )268.3478260869577.2932145319424636.7941769588239
Trimmed Mean ( 27 / 48 )268.0111111111117.2049104916106337.1983956529623
Trimmed Mean ( 28 / 48 )267.6257.1087667280576437.6471771036893
Trimmed Mean ( 29 / 48 )267.2674418604657.0261466812921538.0389784022148
Trimmed Mean ( 30 / 48 )266.9523809523816.9430497192425538.4488649436755
Trimmed Mean ( 31 / 48 )266.6219512195126.8508355460910938.9181654450368
Trimmed Mean ( 32 / 48 )266.46256.7885081541426139.251996749447
Trimmed Mean ( 33 / 48 )266.4230769230776.7396896313749139.5304667566311
Trimmed Mean ( 34 / 48 )266.3157894736846.6972948329462939.7646805339352
Trimmed Mean ( 35 / 48 )266.2162162162166.6475024823033340.047554239344
Trimmed Mean ( 36 / 48 )266.0833333333336.5914403046310740.3680107891422
Trimmed Mean ( 37 / 48 )265.9714285714296.5286427820013140.7391608719472
Trimmed Mean ( 38 / 48 )265.8529411764716.4577122667302341.1682853301052
Trimmed Mean ( 39 / 48 )265.7424242424246.3869516827432841.6070822894161
Trimmed Mean ( 40 / 48 )265.6256.3063530892041142.1202232483184
Trimmed Mean ( 41 / 48 )265.4354838709686.2203764786881342.6719322826177
Trimmed Mean ( 42 / 48 )265.36.1519965984136143.1242111005737
Trimmed Mean ( 43 / 48 )265.1206896551726.0725138976397443.6591326300989
Trimmed Mean ( 44 / 48 )264.9285714285715.9800999613141844.3016961492983
Trimmed Mean ( 45 / 48 )264.6851851851855.8711903701069345.0820308148796
Trimmed Mean ( 46 / 48 )264.5192307692315.759082955571345.9307901639681
Trimmed Mean ( 47 / 48 )264.325.6412069919947646.8552209438666
Trimmed Mean ( 48 / 48 )264.1666666666675.5069534811024147.9696564667156
Median265.5
Midrange363
Midmean - Weighted Average at Xnp264.904109589041
Midmean - Weighted Average at X(n+1)p264.904109589041
Midmean - Empirical Distribution Function264.904109589041
Midmean - Empirical Distribution Function - Averaging264.904109589041
Midmean - Empirical Distribution Function - Interpolation264.904109589041
Midmean - Closest Observation264.904109589041
Midmean - True Basic - Statistics Graphics Toolkit264.904109589041
Midmean - MS Excel (old versions)267.493333333333
Number of observations144

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 280.298611111111 & 9.9971930785786 & 28.0377310819092 \tabularnewline
Geometric Mean & 255.232771586034 &  &  \tabularnewline
Harmonic Mean & 231.659113395685 &  &  \tabularnewline
Quadratic Mean & 304.728214516185 &  &  \tabularnewline
Winsorized Mean ( 1 / 48 ) & 280.243055555556 & 9.96450697402584 & 28.1241265911154 \tabularnewline
Winsorized Mean ( 2 / 48 ) & 279.618055555556 & 9.82161700036816 & 28.4696558158472 \tabularnewline
Winsorized Mean ( 3 / 48 ) & 279.409722222222 & 9.77435005099722 & 28.5860155165730 \tabularnewline
Winsorized Mean ( 4 / 48 ) & 279.131944444444 & 9.6965880387294 & 28.7866147689843 \tabularnewline
Winsorized Mean ( 5 / 48 ) & 278.194444444444 & 9.53099000990649 & 29.1884100345599 \tabularnewline
Winsorized Mean ( 6 / 48 ) & 278.111111111111 & 9.50513147669147 & 29.2590493664497 \tabularnewline
Winsorized Mean ( 7 / 48 ) & 277.527777777778 & 9.3828137313047 & 29.5783104861005 \tabularnewline
Winsorized Mean ( 8 / 48 ) & 276.694444444444 & 9.19460817653402 & 30.093119699283 \tabularnewline
Winsorized Mean ( 9 / 48 ) & 276.756944444444 & 9.18741689636644 & 30.1234773131825 \tabularnewline
Winsorized Mean ( 10 / 48 ) & 276.618055555556 & 9.11249620440785 & 30.3559035143138 \tabularnewline
Winsorized Mean ( 11 / 48 ) & 276.694444444444 & 9.06446671866159 & 30.5251762770331 \tabularnewline
Winsorized Mean ( 12 / 48 ) & 276.611111111111 & 9.03104865735461 & 30.6289027560324 \tabularnewline
Winsorized Mean ( 13 / 48 ) & 276.611111111111 & 8.98507412452583 & 30.7856237219088 \tabularnewline
Winsorized Mean ( 14 / 48 ) & 276.611111111111 & 8.98507412452583 & 30.7856237219088 \tabularnewline
Winsorized Mean ( 15 / 48 ) & 274.006944444444 & 8.60154334040167 & 31.8555558695411 \tabularnewline
Winsorized Mean ( 16 / 48 ) & 274.118055555556 & 8.50867111379589 & 32.2163181405734 \tabularnewline
Winsorized Mean ( 17 / 48 ) & 273.055555555556 & 8.34533970616904 & 32.7195255279671 \tabularnewline
Winsorized Mean ( 18 / 48 ) & 273.305555555556 & 8.25938799619298 & 33.0902913970782 \tabularnewline
Winsorized Mean ( 19 / 48 ) & 273.305555555556 & 8.22872145694721 & 33.2136112499972 \tabularnewline
Winsorized Mean ( 20 / 48 ) & 273.305555555556 & 8.16449758179813 & 33.4748773966032 \tabularnewline
Winsorized Mean ( 21 / 48 ) & 272.722222222222 & 8.09324569732642 & 33.6975093085726 \tabularnewline
Winsorized Mean ( 22 / 48 ) & 271.958333333333 & 7.96687778904112 & 34.1361246569424 \tabularnewline
Winsorized Mean ( 23 / 48 ) & 271.958333333333 & 7.93076511166547 & 34.2915632355958 \tabularnewline
Winsorized Mean ( 24 / 48 ) & 273.125 & 7.77023435045024 & 35.1501624895231 \tabularnewline
Winsorized Mean ( 25 / 48 ) & 273.819444444444 & 7.69898966101939 & 35.5656334792622 \tabularnewline
Winsorized Mean ( 26 / 48 ) & 273.819444444444 & 7.65919908928945 & 35.7504017394392 \tabularnewline
Winsorized Mean ( 27 / 48 ) & 274.381944444444 & 7.60270264207722 & 36.0900534141472 \tabularnewline
Winsorized Mean ( 28 / 48 ) & 273.604166666667 & 7.34211713525314 & 37.2650233749279 \tabularnewline
Winsorized Mean ( 29 / 48 ) & 272.597222222222 & 7.22572376043573 & 37.7259401632292 \tabularnewline
Winsorized Mean ( 30 / 48 ) & 272.597222222222 & 7.18122957585258 & 37.9596863382352 \tabularnewline
Winsorized Mean ( 31 / 48 ) & 269.368055555556 & 6.7766047862394 & 39.7497071250983 \tabularnewline
Winsorized Mean ( 32 / 48 ) & 267.145833333333 & 6.54150404197069 & 40.8385948582022 \tabularnewline
Winsorized Mean ( 33 / 48 ) & 268.291666666667 & 6.37975164568387 & 42.0536223926797 \tabularnewline
Winsorized Mean ( 34 / 48 ) & 268.055555555556 & 6.35529239542982 & 42.1783198753087 \tabularnewline
Winsorized Mean ( 35 / 48 ) & 268.541666666667 & 6.30734666020482 & 42.5760119324005 \tabularnewline
Winsorized Mean ( 36 / 48 ) & 268.041666666667 & 6.25574231156358 & 42.8472998593945 \tabularnewline
Winsorized Mean ( 37 / 48 ) & 268.041666666667 & 6.20411575894803 & 43.2038467818846 \tabularnewline
Winsorized Mean ( 38 / 48 ) & 267.777777777778 & 6.0716506945483 & 44.1029616572334 \tabularnewline
Winsorized Mean ( 39 / 48 ) & 267.777777777778 & 6.01775930102673 & 44.4979209673758 \tabularnewline
Winsorized Mean ( 40 / 48 ) & 268.888888888889 & 5.91049623345049 & 45.4934540634864 \tabularnewline
Winsorized Mean ( 41 / 48 ) & 267.75 & 5.62793996380632 & 47.575134369222 \tabularnewline
Winsorized Mean ( 42 / 48 ) & 268.333333333333 & 5.57255073357988 & 48.1526945490817 \tabularnewline
Winsorized Mean ( 43 / 48 ) & 268.333333333333 & 5.5145407138908 & 48.6592351485261 \tabularnewline
Winsorized Mean ( 44 / 48 ) & 268.944444444444 & 5.45717574139167 & 49.2827164066846 \tabularnewline
Winsorized Mean ( 45 / 48 ) & 267.381944444444 & 5.30212859617042 & 50.4291700200495 \tabularnewline
Winsorized Mean ( 46 / 48 ) & 267.701388888889 & 5.14950416534481 & 51.985857335638 \tabularnewline
Winsorized Mean ( 47 / 48 ) & 266.722222222222 & 5.05382301656813 & 52.776328206947 \tabularnewline
Winsorized Mean ( 48 / 48 ) & 267.055555555556 & 4.95912564214639 & 53.851338890452 \tabularnewline
Trimmed Mean ( 1 / 48 ) & 279.133802816901 & 9.76706648594188 & 28.5790829025961 \tabularnewline
Trimmed Mean ( 2 / 48 ) & 277.992857142857 & 9.55067888994526 & 29.1071305345133 \tabularnewline
Trimmed Mean ( 3 / 48 ) & 277.144927536232 & 9.39595037768446 & 29.4962102178036 \tabularnewline
Trimmed Mean ( 4 / 48 ) & 276.345588235294 & 9.24536849648412 & 29.8901648258135 \tabularnewline
Trimmed Mean ( 5 / 48 ) & 275.597014925373 & 9.10451366971599 & 30.2703719191593 \tabularnewline
Trimmed Mean ( 6 / 48 ) & 275.030303030303 & 8.9928065129399 & 30.58336712066 \tabularnewline
Trimmed Mean ( 7 / 48 ) & 274.461538461538 & 8.87580884030334 & 30.9224255952045 \tabularnewline
Trimmed Mean ( 8 / 48 ) & 273.96875 & 8.7713107857995 & 31.2346417417506 \tabularnewline
Trimmed Mean ( 9 / 48 ) & 273.579365079365 & 8.6895036347882 & 31.4838886750789 \tabularnewline
Trimmed Mean ( 10 / 48 ) & 273.169354838710 & 8.60012778842319 & 31.7634064933813 \tabularnewline
Trimmed Mean ( 11 / 48 ) & 272.762295081967 & 8.51250944996314 & 32.0425247907535 \tabularnewline
Trimmed Mean ( 12 / 48 ) & 272.333333333333 & 8.42209589985802 & 32.3355773398311 \tabularnewline
Trimmed Mean ( 13 / 48 ) & 271.898305084746 & 8.3262237367141 & 32.6556568358622 \tabularnewline
Trimmed Mean ( 14 / 48 ) & 271.448275862069 & 8.22559854894425 & 33.0004283879024 \tabularnewline
Trimmed Mean ( 15 / 48 ) & 270.982456140351 & 8.11354929163366 & 33.3987563765437 \tabularnewline
Trimmed Mean ( 16 / 48 ) & 270.723214285714 & 8.03631767897612 & 33.6874704435783 \tabularnewline
Trimmed Mean ( 17 / 48 ) & 270.445454545455 & 7.96039598978601 & 33.9738695025302 \tabularnewline
Trimmed Mean ( 18 / 48 ) & 270.240740740741 & 7.89365399178675 & 34.2351895613771 \tabularnewline
Trimmed Mean ( 19 / 48 ) & 270.009433962264 & 7.82750346362996 & 34.4949619271135 \tabularnewline
Trimmed Mean ( 20 / 48 ) & 269.769230769231 & 7.75578551028098 & 34.7829669105247 \tabularnewline
Trimmed Mean ( 21 / 48 ) & 269.519607843137 & 7.68128134927983 & 35.0878447992803 \tabularnewline
Trimmed Mean ( 22 / 48 ) & 269.3 & 7.60436477533552 & 35.4138718954494 \tabularnewline
Trimmed Mean ( 23 / 48 ) & 269.122448979592 & 7.53031974102612 & 35.7385155258919 \tabularnewline
Trimmed Mean ( 24 / 48 ) & 268.9375 & 7.44950564267022 & 36.1013888572076 \tabularnewline
Trimmed Mean ( 25 / 48 ) & 268.670212765957 & 7.37349480233507 & 36.4372960134011 \tabularnewline
Trimmed Mean ( 26 / 48 ) & 268.347826086957 & 7.29321453194246 & 36.7941769588239 \tabularnewline
Trimmed Mean ( 27 / 48 ) & 268.011111111111 & 7.20491049161063 & 37.1983956529623 \tabularnewline
Trimmed Mean ( 28 / 48 ) & 267.625 & 7.10876672805764 & 37.6471771036893 \tabularnewline
Trimmed Mean ( 29 / 48 ) & 267.267441860465 & 7.02614668129215 & 38.0389784022148 \tabularnewline
Trimmed Mean ( 30 / 48 ) & 266.952380952381 & 6.94304971924255 & 38.4488649436755 \tabularnewline
Trimmed Mean ( 31 / 48 ) & 266.621951219512 & 6.85083554609109 & 38.9181654450368 \tabularnewline
Trimmed Mean ( 32 / 48 ) & 266.4625 & 6.78850815414261 & 39.251996749447 \tabularnewline
Trimmed Mean ( 33 / 48 ) & 266.423076923077 & 6.73968963137491 & 39.5304667566311 \tabularnewline
Trimmed Mean ( 34 / 48 ) & 266.315789473684 & 6.69729483294629 & 39.7646805339352 \tabularnewline
Trimmed Mean ( 35 / 48 ) & 266.216216216216 & 6.64750248230333 & 40.047554239344 \tabularnewline
Trimmed Mean ( 36 / 48 ) & 266.083333333333 & 6.59144030463107 & 40.3680107891422 \tabularnewline
Trimmed Mean ( 37 / 48 ) & 265.971428571429 & 6.52864278200131 & 40.7391608719472 \tabularnewline
Trimmed Mean ( 38 / 48 ) & 265.852941176471 & 6.45771226673023 & 41.1682853301052 \tabularnewline
Trimmed Mean ( 39 / 48 ) & 265.742424242424 & 6.38695168274328 & 41.6070822894161 \tabularnewline
Trimmed Mean ( 40 / 48 ) & 265.625 & 6.30635308920411 & 42.1202232483184 \tabularnewline
Trimmed Mean ( 41 / 48 ) & 265.435483870968 & 6.22037647868813 & 42.6719322826177 \tabularnewline
Trimmed Mean ( 42 / 48 ) & 265.3 & 6.15199659841361 & 43.1242111005737 \tabularnewline
Trimmed Mean ( 43 / 48 ) & 265.120689655172 & 6.07251389763974 & 43.6591326300989 \tabularnewline
Trimmed Mean ( 44 / 48 ) & 264.928571428571 & 5.98009996131418 & 44.3016961492983 \tabularnewline
Trimmed Mean ( 45 / 48 ) & 264.685185185185 & 5.87119037010693 & 45.0820308148796 \tabularnewline
Trimmed Mean ( 46 / 48 ) & 264.519230769231 & 5.7590829555713 & 45.9307901639681 \tabularnewline
Trimmed Mean ( 47 / 48 ) & 264.32 & 5.64120699199476 & 46.8552209438666 \tabularnewline
Trimmed Mean ( 48 / 48 ) & 264.166666666667 & 5.50695348110241 & 47.9696564667156 \tabularnewline
Median & 265.5 &  &  \tabularnewline
Midrange & 363 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 264.904109589041 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 264.904109589041 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 264.904109589041 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 264.904109589041 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 264.904109589041 &  &  \tabularnewline
Midmean - Closest Observation & 264.904109589041 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 264.904109589041 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 267.493333333333 &  &  \tabularnewline
Number of observations & 144 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=39076&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]280.298611111111[/C][C]9.9971930785786[/C][C]28.0377310819092[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]255.232771586034[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]231.659113395685[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]304.728214516185[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 48 )[/C][C]280.243055555556[/C][C]9.96450697402584[/C][C]28.1241265911154[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 48 )[/C][C]279.618055555556[/C][C]9.82161700036816[/C][C]28.4696558158472[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 48 )[/C][C]279.409722222222[/C][C]9.77435005099722[/C][C]28.5860155165730[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 48 )[/C][C]279.131944444444[/C][C]9.6965880387294[/C][C]28.7866147689843[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 48 )[/C][C]278.194444444444[/C][C]9.53099000990649[/C][C]29.1884100345599[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 48 )[/C][C]278.111111111111[/C][C]9.50513147669147[/C][C]29.2590493664497[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 48 )[/C][C]277.527777777778[/C][C]9.3828137313047[/C][C]29.5783104861005[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 48 )[/C][C]276.694444444444[/C][C]9.19460817653402[/C][C]30.093119699283[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 48 )[/C][C]276.756944444444[/C][C]9.18741689636644[/C][C]30.1234773131825[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 48 )[/C][C]276.618055555556[/C][C]9.11249620440785[/C][C]30.3559035143138[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 48 )[/C][C]276.694444444444[/C][C]9.06446671866159[/C][C]30.5251762770331[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 48 )[/C][C]276.611111111111[/C][C]9.03104865735461[/C][C]30.6289027560324[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 48 )[/C][C]276.611111111111[/C][C]8.98507412452583[/C][C]30.7856237219088[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 48 )[/C][C]276.611111111111[/C][C]8.98507412452583[/C][C]30.7856237219088[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 48 )[/C][C]274.006944444444[/C][C]8.60154334040167[/C][C]31.8555558695411[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 48 )[/C][C]274.118055555556[/C][C]8.50867111379589[/C][C]32.2163181405734[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 48 )[/C][C]273.055555555556[/C][C]8.34533970616904[/C][C]32.7195255279671[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 48 )[/C][C]273.305555555556[/C][C]8.25938799619298[/C][C]33.0902913970782[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 48 )[/C][C]273.305555555556[/C][C]8.22872145694721[/C][C]33.2136112499972[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 48 )[/C][C]273.305555555556[/C][C]8.16449758179813[/C][C]33.4748773966032[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 48 )[/C][C]272.722222222222[/C][C]8.09324569732642[/C][C]33.6975093085726[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 48 )[/C][C]271.958333333333[/C][C]7.96687778904112[/C][C]34.1361246569424[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 48 )[/C][C]271.958333333333[/C][C]7.93076511166547[/C][C]34.2915632355958[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 48 )[/C][C]273.125[/C][C]7.77023435045024[/C][C]35.1501624895231[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 48 )[/C][C]273.819444444444[/C][C]7.69898966101939[/C][C]35.5656334792622[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 48 )[/C][C]273.819444444444[/C][C]7.65919908928945[/C][C]35.7504017394392[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 48 )[/C][C]274.381944444444[/C][C]7.60270264207722[/C][C]36.0900534141472[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 48 )[/C][C]273.604166666667[/C][C]7.34211713525314[/C][C]37.2650233749279[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 48 )[/C][C]272.597222222222[/C][C]7.22572376043573[/C][C]37.7259401632292[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 48 )[/C][C]272.597222222222[/C][C]7.18122957585258[/C][C]37.9596863382352[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 48 )[/C][C]269.368055555556[/C][C]6.7766047862394[/C][C]39.7497071250983[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 48 )[/C][C]267.145833333333[/C][C]6.54150404197069[/C][C]40.8385948582022[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 48 )[/C][C]268.291666666667[/C][C]6.37975164568387[/C][C]42.0536223926797[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 48 )[/C][C]268.055555555556[/C][C]6.35529239542982[/C][C]42.1783198753087[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 48 )[/C][C]268.541666666667[/C][C]6.30734666020482[/C][C]42.5760119324005[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 48 )[/C][C]268.041666666667[/C][C]6.25574231156358[/C][C]42.8472998593945[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 48 )[/C][C]268.041666666667[/C][C]6.20411575894803[/C][C]43.2038467818846[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 48 )[/C][C]267.777777777778[/C][C]6.0716506945483[/C][C]44.1029616572334[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 48 )[/C][C]267.777777777778[/C][C]6.01775930102673[/C][C]44.4979209673758[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 48 )[/C][C]268.888888888889[/C][C]5.91049623345049[/C][C]45.4934540634864[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 48 )[/C][C]267.75[/C][C]5.62793996380632[/C][C]47.575134369222[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 48 )[/C][C]268.333333333333[/C][C]5.57255073357988[/C][C]48.1526945490817[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 48 )[/C][C]268.333333333333[/C][C]5.5145407138908[/C][C]48.6592351485261[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 48 )[/C][C]268.944444444444[/C][C]5.45717574139167[/C][C]49.2827164066846[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 48 )[/C][C]267.381944444444[/C][C]5.30212859617042[/C][C]50.4291700200495[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 48 )[/C][C]267.701388888889[/C][C]5.14950416534481[/C][C]51.985857335638[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 48 )[/C][C]266.722222222222[/C][C]5.05382301656813[/C][C]52.776328206947[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 48 )[/C][C]267.055555555556[/C][C]4.95912564214639[/C][C]53.851338890452[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 48 )[/C][C]279.133802816901[/C][C]9.76706648594188[/C][C]28.5790829025961[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 48 )[/C][C]277.992857142857[/C][C]9.55067888994526[/C][C]29.1071305345133[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 48 )[/C][C]277.144927536232[/C][C]9.39595037768446[/C][C]29.4962102178036[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 48 )[/C][C]276.345588235294[/C][C]9.24536849648412[/C][C]29.8901648258135[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 48 )[/C][C]275.597014925373[/C][C]9.10451366971599[/C][C]30.2703719191593[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 48 )[/C][C]275.030303030303[/C][C]8.9928065129399[/C][C]30.58336712066[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 48 )[/C][C]274.461538461538[/C][C]8.87580884030334[/C][C]30.9224255952045[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 48 )[/C][C]273.96875[/C][C]8.7713107857995[/C][C]31.2346417417506[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 48 )[/C][C]273.579365079365[/C][C]8.6895036347882[/C][C]31.4838886750789[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 48 )[/C][C]273.169354838710[/C][C]8.60012778842319[/C][C]31.7634064933813[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 48 )[/C][C]272.762295081967[/C][C]8.51250944996314[/C][C]32.0425247907535[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 48 )[/C][C]272.333333333333[/C][C]8.42209589985802[/C][C]32.3355773398311[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 48 )[/C][C]271.898305084746[/C][C]8.3262237367141[/C][C]32.6556568358622[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 48 )[/C][C]271.448275862069[/C][C]8.22559854894425[/C][C]33.0004283879024[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 48 )[/C][C]270.982456140351[/C][C]8.11354929163366[/C][C]33.3987563765437[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 48 )[/C][C]270.723214285714[/C][C]8.03631767897612[/C][C]33.6874704435783[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 48 )[/C][C]270.445454545455[/C][C]7.96039598978601[/C][C]33.9738695025302[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 48 )[/C][C]270.240740740741[/C][C]7.89365399178675[/C][C]34.2351895613771[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 48 )[/C][C]270.009433962264[/C][C]7.82750346362996[/C][C]34.4949619271135[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 48 )[/C][C]269.769230769231[/C][C]7.75578551028098[/C][C]34.7829669105247[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 48 )[/C][C]269.519607843137[/C][C]7.68128134927983[/C][C]35.0878447992803[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 48 )[/C][C]269.3[/C][C]7.60436477533552[/C][C]35.4138718954494[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 48 )[/C][C]269.122448979592[/C][C]7.53031974102612[/C][C]35.7385155258919[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 48 )[/C][C]268.9375[/C][C]7.44950564267022[/C][C]36.1013888572076[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 48 )[/C][C]268.670212765957[/C][C]7.37349480233507[/C][C]36.4372960134011[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 48 )[/C][C]268.347826086957[/C][C]7.29321453194246[/C][C]36.7941769588239[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 48 )[/C][C]268.011111111111[/C][C]7.20491049161063[/C][C]37.1983956529623[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 48 )[/C][C]267.625[/C][C]7.10876672805764[/C][C]37.6471771036893[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 48 )[/C][C]267.267441860465[/C][C]7.02614668129215[/C][C]38.0389784022148[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 48 )[/C][C]266.952380952381[/C][C]6.94304971924255[/C][C]38.4488649436755[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 48 )[/C][C]266.621951219512[/C][C]6.85083554609109[/C][C]38.9181654450368[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 48 )[/C][C]266.4625[/C][C]6.78850815414261[/C][C]39.251996749447[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 48 )[/C][C]266.423076923077[/C][C]6.73968963137491[/C][C]39.5304667566311[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 48 )[/C][C]266.315789473684[/C][C]6.69729483294629[/C][C]39.7646805339352[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 48 )[/C][C]266.216216216216[/C][C]6.64750248230333[/C][C]40.047554239344[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 48 )[/C][C]266.083333333333[/C][C]6.59144030463107[/C][C]40.3680107891422[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 48 )[/C][C]265.971428571429[/C][C]6.52864278200131[/C][C]40.7391608719472[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 48 )[/C][C]265.852941176471[/C][C]6.45771226673023[/C][C]41.1682853301052[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 48 )[/C][C]265.742424242424[/C][C]6.38695168274328[/C][C]41.6070822894161[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 48 )[/C][C]265.625[/C][C]6.30635308920411[/C][C]42.1202232483184[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 48 )[/C][C]265.435483870968[/C][C]6.22037647868813[/C][C]42.6719322826177[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 48 )[/C][C]265.3[/C][C]6.15199659841361[/C][C]43.1242111005737[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 48 )[/C][C]265.120689655172[/C][C]6.07251389763974[/C][C]43.6591326300989[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 48 )[/C][C]264.928571428571[/C][C]5.98009996131418[/C][C]44.3016961492983[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 48 )[/C][C]264.685185185185[/C][C]5.87119037010693[/C][C]45.0820308148796[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 48 )[/C][C]264.519230769231[/C][C]5.7590829555713[/C][C]45.9307901639681[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 48 )[/C][C]264.32[/C][C]5.64120699199476[/C][C]46.8552209438666[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 48 )[/C][C]264.166666666667[/C][C]5.50695348110241[/C][C]47.9696564667156[/C][/ROW]
[ROW][C]Median[/C][C]265.5[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]363[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]264.904109589041[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]264.904109589041[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]264.904109589041[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]264.904109589041[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]264.904109589041[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]264.904109589041[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]264.904109589041[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]267.493333333333[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]144[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=39076&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=39076&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 Mean280.2986111111119.997193078578628.0377310819092
Geometric Mean255.232771586034
Harmonic Mean231.659113395685
Quadratic Mean304.728214516185
Winsorized Mean ( 1 / 48 )280.2430555555569.9645069740258428.1241265911154
Winsorized Mean ( 2 / 48 )279.6180555555569.8216170003681628.4696558158472
Winsorized Mean ( 3 / 48 )279.4097222222229.7743500509972228.5860155165730
Winsorized Mean ( 4 / 48 )279.1319444444449.696588038729428.7866147689843
Winsorized Mean ( 5 / 48 )278.1944444444449.5309900099064929.1884100345599
Winsorized Mean ( 6 / 48 )278.1111111111119.5051314766914729.2590493664497
Winsorized Mean ( 7 / 48 )277.5277777777789.382813731304729.5783104861005
Winsorized Mean ( 8 / 48 )276.6944444444449.1946081765340230.093119699283
Winsorized Mean ( 9 / 48 )276.7569444444449.1874168963664430.1234773131825
Winsorized Mean ( 10 / 48 )276.6180555555569.1124962044078530.3559035143138
Winsorized Mean ( 11 / 48 )276.6944444444449.0644667186615930.5251762770331
Winsorized Mean ( 12 / 48 )276.6111111111119.0310486573546130.6289027560324
Winsorized Mean ( 13 / 48 )276.6111111111118.9850741245258330.7856237219088
Winsorized Mean ( 14 / 48 )276.6111111111118.9850741245258330.7856237219088
Winsorized Mean ( 15 / 48 )274.0069444444448.6015433404016731.8555558695411
Winsorized Mean ( 16 / 48 )274.1180555555568.5086711137958932.2163181405734
Winsorized Mean ( 17 / 48 )273.0555555555568.3453397061690432.7195255279671
Winsorized Mean ( 18 / 48 )273.3055555555568.2593879961929833.0902913970782
Winsorized Mean ( 19 / 48 )273.3055555555568.2287214569472133.2136112499972
Winsorized Mean ( 20 / 48 )273.3055555555568.1644975817981333.4748773966032
Winsorized Mean ( 21 / 48 )272.7222222222228.0932456973264233.6975093085726
Winsorized Mean ( 22 / 48 )271.9583333333337.9668777890411234.1361246569424
Winsorized Mean ( 23 / 48 )271.9583333333337.9307651116654734.2915632355958
Winsorized Mean ( 24 / 48 )273.1257.7702343504502435.1501624895231
Winsorized Mean ( 25 / 48 )273.8194444444447.6989896610193935.5656334792622
Winsorized Mean ( 26 / 48 )273.8194444444447.6591990892894535.7504017394392
Winsorized Mean ( 27 / 48 )274.3819444444447.6027026420772236.0900534141472
Winsorized Mean ( 28 / 48 )273.6041666666677.3421171352531437.2650233749279
Winsorized Mean ( 29 / 48 )272.5972222222227.2257237604357337.7259401632292
Winsorized Mean ( 30 / 48 )272.5972222222227.1812295758525837.9596863382352
Winsorized Mean ( 31 / 48 )269.3680555555566.776604786239439.7497071250983
Winsorized Mean ( 32 / 48 )267.1458333333336.5415040419706940.8385948582022
Winsorized Mean ( 33 / 48 )268.2916666666676.3797516456838742.0536223926797
Winsorized Mean ( 34 / 48 )268.0555555555566.3552923954298242.1783198753087
Winsorized Mean ( 35 / 48 )268.5416666666676.3073466602048242.5760119324005
Winsorized Mean ( 36 / 48 )268.0416666666676.2557423115635842.8472998593945
Winsorized Mean ( 37 / 48 )268.0416666666676.2041157589480343.2038467818846
Winsorized Mean ( 38 / 48 )267.7777777777786.071650694548344.1029616572334
Winsorized Mean ( 39 / 48 )267.7777777777786.0177593010267344.4979209673758
Winsorized Mean ( 40 / 48 )268.8888888888895.9104962334504945.4934540634864
Winsorized Mean ( 41 / 48 )267.755.6279399638063247.575134369222
Winsorized Mean ( 42 / 48 )268.3333333333335.5725507335798848.1526945490817
Winsorized Mean ( 43 / 48 )268.3333333333335.514540713890848.6592351485261
Winsorized Mean ( 44 / 48 )268.9444444444445.4571757413916749.2827164066846
Winsorized Mean ( 45 / 48 )267.3819444444445.3021285961704250.4291700200495
Winsorized Mean ( 46 / 48 )267.7013888888895.1495041653448151.985857335638
Winsorized Mean ( 47 / 48 )266.7222222222225.0538230165681352.776328206947
Winsorized Mean ( 48 / 48 )267.0555555555564.9591256421463953.851338890452
Trimmed Mean ( 1 / 48 )279.1338028169019.7670664859418828.5790829025961
Trimmed Mean ( 2 / 48 )277.9928571428579.5506788899452629.1071305345133
Trimmed Mean ( 3 / 48 )277.1449275362329.3959503776844629.4962102178036
Trimmed Mean ( 4 / 48 )276.3455882352949.2453684964841229.8901648258135
Trimmed Mean ( 5 / 48 )275.5970149253739.1045136697159930.2703719191593
Trimmed Mean ( 6 / 48 )275.0303030303038.992806512939930.58336712066
Trimmed Mean ( 7 / 48 )274.4615384615388.8758088403033430.9224255952045
Trimmed Mean ( 8 / 48 )273.968758.771310785799531.2346417417506
Trimmed Mean ( 9 / 48 )273.5793650793658.689503634788231.4838886750789
Trimmed Mean ( 10 / 48 )273.1693548387108.6001277884231931.7634064933813
Trimmed Mean ( 11 / 48 )272.7622950819678.5125094499631432.0425247907535
Trimmed Mean ( 12 / 48 )272.3333333333338.4220958998580232.3355773398311
Trimmed Mean ( 13 / 48 )271.8983050847468.326223736714132.6556568358622
Trimmed Mean ( 14 / 48 )271.4482758620698.2255985489442533.0004283879024
Trimmed Mean ( 15 / 48 )270.9824561403518.1135492916336633.3987563765437
Trimmed Mean ( 16 / 48 )270.7232142857148.0363176789761233.6874704435783
Trimmed Mean ( 17 / 48 )270.4454545454557.9603959897860133.9738695025302
Trimmed Mean ( 18 / 48 )270.2407407407417.8936539917867534.2351895613771
Trimmed Mean ( 19 / 48 )270.0094339622647.8275034636299634.4949619271135
Trimmed Mean ( 20 / 48 )269.7692307692317.7557855102809834.7829669105247
Trimmed Mean ( 21 / 48 )269.5196078431377.6812813492798335.0878447992803
Trimmed Mean ( 22 / 48 )269.37.6043647753355235.4138718954494
Trimmed Mean ( 23 / 48 )269.1224489795927.5303197410261235.7385155258919
Trimmed Mean ( 24 / 48 )268.93757.4495056426702236.1013888572076
Trimmed Mean ( 25 / 48 )268.6702127659577.3734948023350736.4372960134011
Trimmed Mean ( 26 / 48 )268.3478260869577.2932145319424636.7941769588239
Trimmed Mean ( 27 / 48 )268.0111111111117.2049104916106337.1983956529623
Trimmed Mean ( 28 / 48 )267.6257.1087667280576437.6471771036893
Trimmed Mean ( 29 / 48 )267.2674418604657.0261466812921538.0389784022148
Trimmed Mean ( 30 / 48 )266.9523809523816.9430497192425538.4488649436755
Trimmed Mean ( 31 / 48 )266.6219512195126.8508355460910938.9181654450368
Trimmed Mean ( 32 / 48 )266.46256.7885081541426139.251996749447
Trimmed Mean ( 33 / 48 )266.4230769230776.7396896313749139.5304667566311
Trimmed Mean ( 34 / 48 )266.3157894736846.6972948329462939.7646805339352
Trimmed Mean ( 35 / 48 )266.2162162162166.6475024823033340.047554239344
Trimmed Mean ( 36 / 48 )266.0833333333336.5914403046310740.3680107891422
Trimmed Mean ( 37 / 48 )265.9714285714296.5286427820013140.7391608719472
Trimmed Mean ( 38 / 48 )265.8529411764716.4577122667302341.1682853301052
Trimmed Mean ( 39 / 48 )265.7424242424246.3869516827432841.6070822894161
Trimmed Mean ( 40 / 48 )265.6256.3063530892041142.1202232483184
Trimmed Mean ( 41 / 48 )265.4354838709686.2203764786881342.6719322826177
Trimmed Mean ( 42 / 48 )265.36.1519965984136143.1242111005737
Trimmed Mean ( 43 / 48 )265.1206896551726.0725138976397443.6591326300989
Trimmed Mean ( 44 / 48 )264.9285714285715.9800999613141844.3016961492983
Trimmed Mean ( 45 / 48 )264.6851851851855.8711903701069345.0820308148796
Trimmed Mean ( 46 / 48 )264.5192307692315.759082955571345.9307901639681
Trimmed Mean ( 47 / 48 )264.325.6412069919947646.8552209438666
Trimmed Mean ( 48 / 48 )264.1666666666675.5069534811024147.9696564667156
Median265.5
Midrange363
Midmean - Weighted Average at Xnp264.904109589041
Midmean - Weighted Average at X(n+1)p264.904109589041
Midmean - Empirical Distribution Function264.904109589041
Midmean - Empirical Distribution Function - Averaging264.904109589041
Midmean - Empirical Distribution Function - Interpolation264.904109589041
Midmean - Closest Observation264.904109589041
Midmean - True Basic - Statistics Graphics Toolkit264.904109589041
Midmean - MS Excel (old versions)267.493333333333
Number of observations144



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')