Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationFri, 12 Mar 2010 08:56:34 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Mar/12/t126840958185b7jdvois3ik09.htm/, Retrieved Fri, 27 May 2022 00:45:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=74355, Retrieved Fri, 27 May 2022 00:45:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP1W52
Estimated Impact162
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [Centrummaten - Hu...] [2010-03-12 15:56:34] [83074fc8d74b78a4134c1b297ef86df5] [Current]
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Dataseries X:
178600
181600
178500
176700
183500
175900
179800
186500
182700
182800
178600
183300
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
265000
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=74355&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=74355&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74355&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 Mean249465.9722222223691.8026388418167.5729437964985
Geometric Mean245446.240105035
Harmonic Mean241369.309165968
Quadratic Mean253342.212152522
Winsorized Mean ( 1 / 48 )249416.6666666673683.1240909251367.718779087896
Winsorized Mean ( 2 / 48 )249383.3333333333671.9461620425067.9158468910164
Winsorized Mean ( 3 / 48 )2493753670.3223326624967.9436238558102
Winsorized Mean ( 4 / 48 )249313.8888888893662.5881389522368.0704134427223
Winsorized Mean ( 5 / 48 )249345.1388888893655.7074021588868.2070831876857
Winsorized Mean ( 6 / 48 )249311.8055555563632.5936588736868.631900225487
Winsorized Mean ( 7 / 48 )249345.8333333333623.3394335795368.8165814724685
Winsorized Mean ( 8 / 48 )249295.8333333333616.0263732086568.9419289583674
Winsorized Mean ( 9 / 48 )249289.5833333333613.7502230752868.9836230909146
Winsorized Mean ( 10 / 48 )249289.5833333333606.9278930295769.1141022849634
Winsorized Mean ( 11 / 48 )249167.3611111113589.0531177881669.4242612003098
Winsorized Mean ( 12 / 48 )249350.6944444443549.974145003670.2401438036929
Winsorized Mean ( 13 / 48 )2494503531.3690278087970.6383269592143
Winsorized Mean ( 14 / 48 )249537.53513.9334260301371.0137244352734
Winsorized Mean ( 15 / 48 )249402.0833333333493.8770769305171.3826153129697
Winsorized Mean ( 16 / 48 )249290.9722222223428.4120580378572.7132468332574
Winsorized Mean ( 17 / 48 )249385.4166666673417.3099014656872.977114706426
Winsorized Mean ( 18 / 48 )249422.9166666673396.1680721871773.4424537788071
Winsorized Mean ( 19 / 48 )249515.2777777783382.5692580914373.7650166898766
Winsorized Mean ( 20 / 48 )249612.53365.2971947242674.1724981648916
Winsorized Mean ( 21 / 48 )249831.253296.1369381128875.795167097346
Winsorized Mean ( 22 / 48 )250029.8611111113267.7719337338376.5138651599292
Winsorized Mean ( 23 / 48 )250061.8055555563243.8299863449477.0884437865743
Winsorized Mean ( 24 / 48 )249995.1388888893229.7622136531377.4035741182703
Winsorized Mean ( 25 / 48 )249647.9166666673193.9445863900778.1628828910989
Winsorized Mean ( 26 / 48 )249449.3055555563170.0604431794178.689132282087
Winsorized Mean ( 27 / 48 )249674.3055555563122.4958492839479.9598518642744
Winsorized Mean ( 28 / 48 )249596.5277777783110.7134055716280.2377124587317
Winsorized Mean ( 29 / 48 )249757.6388888893081.2177867838581.0580933162742
Winsorized Mean ( 30 / 48 )249799.3055555563017.4568979603982.7847137516377
Winsorized Mean ( 31 / 48 )249842.3611111112995.6032563290183.4030209385213
Winsorized Mean ( 32 / 48 )249886.8055555562937.597763508685.0650176343736
Winsorized Mean ( 33 / 48 )249863.8888888892926.2573936726885.3868458151218
Winsorized Mean ( 34 / 48 )249887.52919.1547620943885.6026899446454
Winsorized Mean ( 35 / 48 )249911.8055555562911.8529201592685.8256966982682
Winsorized Mean ( 36 / 48 )249936.8055555562884.5648882508686.6462760375316
Winsorized Mean ( 37 / 48 )249988.1944444442879.3573608882686.8208294809661
Winsorized Mean ( 38 / 48 )250093.752853.0911988298587.657117340859
Winsorized Mean ( 39 / 48 )250120.8333333332839.7132467583988.0796093122618
Winsorized Mean ( 40 / 48 )250370.8333333332814.6718282903388.9520514671906
Winsorized Mean ( 41 / 48 )250086.1111111112759.6138745321690.623588111039
Winsorized Mean ( 42 / 48 )250115.2777777782745.3455913478191.1052067783516
Winsorized Mean ( 43 / 48 )250145.1388888892724.9549709824991.7978981497438
Winsorized Mean ( 44 / 48 )249411.8055555562650.2113754610194.1101558407468
Winsorized Mean ( 45 / 48 )249411.8055555562638.1615868629494.5400034620827
Winsorized Mean ( 46 / 48 )250465.9722222222527.7427584677399.0868122886246
Winsorized Mean ( 47 / 48 )250172.2222222222487.88096855906100.556347101734
Winsorized Mean ( 48 / 48 )250938.8888888892400.59827897938104.531812376195
Trimmed Mean ( 1 / 48 )249421.1267605633664.4211071777968.0656287761258
Trimmed Mean ( 2 / 48 )249425.7142857143643.7681910970668.4526844751388
Trimmed Mean ( 3 / 48 )249447.8260869573627.1678157307968.7720664605363
Trimmed Mean ( 4 / 48 )249473.5294117653609.3112510965469.1194280725921
Trimmed Mean ( 5 / 48 )249516.4179104483591.7312353212769.4696795396856
Trimmed Mean ( 6 / 48 )249553.7878787883573.8129539694169.8284412455359
Trimmed Mean ( 7 / 48 )249598.4615384623558.654946236770.1384273860025
Trimmed Mean ( 8 / 48 )249639.06253543.2942089737970.4539470269675
Trimmed Mean ( 9 / 48 )249688.0952380953527.1778560370270.789766047872
Trimmed Mean ( 10 / 48 )249739.5161290323509.334489370571.1643523538362
Trimmed Mean ( 11 / 48 )249792.6229508203490.218038909471.569346145742
Trimmed Mean ( 12 / 48 )249860.8333333333471.1028558919371.9831257403432
Trimmed Mean ( 13 / 48 )249912.7118644073454.5761118723972.3425114315844
Trimmed Mean ( 14 / 48 )249956.8965517243438.0375630676872.7033640460558
Trimmed Mean ( 15 / 48 )249994.7368421053421.2061040659173.0721065138404
Trimmed Mean ( 16 / 48 )250045.5357142863404.2047322483273.4519676051158
Trimmed Mean ( 17 / 48 )250107.2727272733391.8534864504673.7376404158917
Trimmed Mean ( 18 / 48 )250163.8888888893378.5217023022474.0453698191191
Trimmed Mean ( 19 / 48 )250219.8113207553365.0786874732274.3577890918921
Trimmed Mean ( 20 / 48 )250271.1538461543350.6519248725674.6932714760196
Trimmed Mean ( 21 / 48 )250317.6470588243335.4418913671275.0478213116836
Trimmed Mean ( 22 / 48 )2503513324.4434470033175.3061389044441
Trimmed Mean ( 23 / 48 )250372.4489795923313.8606135799675.55310200845
Trimmed Mean ( 24 / 48 )250392.7083333333303.1936449627275.8032181114103
Trimmed Mean ( 25 / 48 )250418.0851063833291.3893758890576.0827895176461
Trimmed Mean ( 26 / 48 )250466.3043478263280.3066252409176.354540280036
Trimmed Mean ( 27 / 48 )250528.8888888893268.7737775196976.6430796195958
Trimmed Mean ( 28 / 48 )250580.6818181823259.0128456633876.8885222872374
Trimmed Mean ( 29 / 48 )250639.5348837213247.6043065720077.1767466795493
Trimmed Mean ( 30 / 48 )250691.6666666673236.0567259376577.4682546994068
Trimmed Mean ( 31 / 48 )250743.9024390243227.5719992622177.688089528705
Trimmed Mean ( 32 / 48 )250796.253218.2811690020477.9286323443795
Trimmed Mean ( 33 / 48 )250848.7179487183211.5684081653178.1078545021625
Trimmed Mean ( 34 / 48 )250905.2631578953202.9678642514578.3352421228654
Trimmed Mean ( 35 / 48 )250963.5135135143191.7195336301578.6295634278606
Trimmed Mean ( 36 / 48 )251023.6111111113177.3839478686879.0032351235023
Trimmed Mean ( 37 / 48 )251085.7142857143161.58115283879.417766664103
Trimmed Mean ( 38 / 48 )251148.5294117653141.5427758504479.9443290546242
Trimmed Mean ( 39 / 48 )251209.0909090913118.9403550459980.5430890984085
Trimmed Mean ( 40 / 48 )251271.8753091.682284607981.2735112695667
Trimmed Mean ( 41 / 48 )251324.1935483873060.3757900162882.1220042219227
Trimmed Mean ( 42 / 48 )251396.6666666673027.8956973530383.0268581861775
Trimmed Mean ( 43 / 48 )251472.4137931032988.5239191592384.1460267996954
Trimmed Mean ( 44 / 48 )251551.7857142862941.6026101511885.5152170610012
Trimmed Mean ( 45 / 48 )251681.4814814812893.04338516986.9954051749484
Trimmed Mean ( 46 / 48 )251821.1538461542832.9593443243688.88978740576
Trimmed Mean ( 47 / 48 )2519062776.0174233411990.743666765898
Trimmed Mean ( 48 / 48 )252016.6666666672709.3601435960693.0170421464058
Median258200
Midrange252650
Midmean - Weighted Average at Xnp250427.397260274
Midmean - Weighted Average at X(n+1)p251023.611111111
Midmean - Empirical Distribution Function250427.397260274
Midmean - Empirical Distribution Function - Averaging251023.611111111
Midmean - Empirical Distribution Function - Interpolation251023.611111111
Midmean - Closest Observation250427.397260274
Midmean - True Basic - Statistics Graphics Toolkit251023.611111111
Midmean - MS Excel (old versions)250963.513513514
Number of observations144

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 249465.972222222 & 3691.80263884181 & 67.5729437964985 \tabularnewline
Geometric Mean & 245446.240105035 &  &  \tabularnewline
Harmonic Mean & 241369.309165968 &  &  \tabularnewline
Quadratic Mean & 253342.212152522 &  &  \tabularnewline
Winsorized Mean ( 1 / 48 ) & 249416.666666667 & 3683.12409092513 & 67.718779087896 \tabularnewline
Winsorized Mean ( 2 / 48 ) & 249383.333333333 & 3671.94616204250 & 67.9158468910164 \tabularnewline
Winsorized Mean ( 3 / 48 ) & 249375 & 3670.32233266249 & 67.9436238558102 \tabularnewline
Winsorized Mean ( 4 / 48 ) & 249313.888888889 & 3662.58813895223 & 68.0704134427223 \tabularnewline
Winsorized Mean ( 5 / 48 ) & 249345.138888889 & 3655.70740215888 & 68.2070831876857 \tabularnewline
Winsorized Mean ( 6 / 48 ) & 249311.805555556 & 3632.59365887368 & 68.631900225487 \tabularnewline
Winsorized Mean ( 7 / 48 ) & 249345.833333333 & 3623.33943357953 & 68.8165814724685 \tabularnewline
Winsorized Mean ( 8 / 48 ) & 249295.833333333 & 3616.02637320865 & 68.9419289583674 \tabularnewline
Winsorized Mean ( 9 / 48 ) & 249289.583333333 & 3613.75022307528 & 68.9836230909146 \tabularnewline
Winsorized Mean ( 10 / 48 ) & 249289.583333333 & 3606.92789302957 & 69.1141022849634 \tabularnewline
Winsorized Mean ( 11 / 48 ) & 249167.361111111 & 3589.05311778816 & 69.4242612003098 \tabularnewline
Winsorized Mean ( 12 / 48 ) & 249350.694444444 & 3549.9741450036 & 70.2401438036929 \tabularnewline
Winsorized Mean ( 13 / 48 ) & 249450 & 3531.36902780879 & 70.6383269592143 \tabularnewline
Winsorized Mean ( 14 / 48 ) & 249537.5 & 3513.93342603013 & 71.0137244352734 \tabularnewline
Winsorized Mean ( 15 / 48 ) & 249402.083333333 & 3493.87707693051 & 71.3826153129697 \tabularnewline
Winsorized Mean ( 16 / 48 ) & 249290.972222222 & 3428.41205803785 & 72.7132468332574 \tabularnewline
Winsorized Mean ( 17 / 48 ) & 249385.416666667 & 3417.30990146568 & 72.977114706426 \tabularnewline
Winsorized Mean ( 18 / 48 ) & 249422.916666667 & 3396.16807218717 & 73.4424537788071 \tabularnewline
Winsorized Mean ( 19 / 48 ) & 249515.277777778 & 3382.56925809143 & 73.7650166898766 \tabularnewline
Winsorized Mean ( 20 / 48 ) & 249612.5 & 3365.29719472426 & 74.1724981648916 \tabularnewline
Winsorized Mean ( 21 / 48 ) & 249831.25 & 3296.13693811288 & 75.795167097346 \tabularnewline
Winsorized Mean ( 22 / 48 ) & 250029.861111111 & 3267.77193373383 & 76.5138651599292 \tabularnewline
Winsorized Mean ( 23 / 48 ) & 250061.805555556 & 3243.82998634494 & 77.0884437865743 \tabularnewline
Winsorized Mean ( 24 / 48 ) & 249995.138888889 & 3229.76221365313 & 77.4035741182703 \tabularnewline
Winsorized Mean ( 25 / 48 ) & 249647.916666667 & 3193.94458639007 & 78.1628828910989 \tabularnewline
Winsorized Mean ( 26 / 48 ) & 249449.305555556 & 3170.06044317941 & 78.689132282087 \tabularnewline
Winsorized Mean ( 27 / 48 ) & 249674.305555556 & 3122.49584928394 & 79.9598518642744 \tabularnewline
Winsorized Mean ( 28 / 48 ) & 249596.527777778 & 3110.71340557162 & 80.2377124587317 \tabularnewline
Winsorized Mean ( 29 / 48 ) & 249757.638888889 & 3081.21778678385 & 81.0580933162742 \tabularnewline
Winsorized Mean ( 30 / 48 ) & 249799.305555556 & 3017.45689796039 & 82.7847137516377 \tabularnewline
Winsorized Mean ( 31 / 48 ) & 249842.361111111 & 2995.60325632901 & 83.4030209385213 \tabularnewline
Winsorized Mean ( 32 / 48 ) & 249886.805555556 & 2937.5977635086 & 85.0650176343736 \tabularnewline
Winsorized Mean ( 33 / 48 ) & 249863.888888889 & 2926.25739367268 & 85.3868458151218 \tabularnewline
Winsorized Mean ( 34 / 48 ) & 249887.5 & 2919.15476209438 & 85.6026899446454 \tabularnewline
Winsorized Mean ( 35 / 48 ) & 249911.805555556 & 2911.85292015926 & 85.8256966982682 \tabularnewline
Winsorized Mean ( 36 / 48 ) & 249936.805555556 & 2884.56488825086 & 86.6462760375316 \tabularnewline
Winsorized Mean ( 37 / 48 ) & 249988.194444444 & 2879.35736088826 & 86.8208294809661 \tabularnewline
Winsorized Mean ( 38 / 48 ) & 250093.75 & 2853.09119882985 & 87.657117340859 \tabularnewline
Winsorized Mean ( 39 / 48 ) & 250120.833333333 & 2839.71324675839 & 88.0796093122618 \tabularnewline
Winsorized Mean ( 40 / 48 ) & 250370.833333333 & 2814.67182829033 & 88.9520514671906 \tabularnewline
Winsorized Mean ( 41 / 48 ) & 250086.111111111 & 2759.61387453216 & 90.623588111039 \tabularnewline
Winsorized Mean ( 42 / 48 ) & 250115.277777778 & 2745.34559134781 & 91.1052067783516 \tabularnewline
Winsorized Mean ( 43 / 48 ) & 250145.138888889 & 2724.95497098249 & 91.7978981497438 \tabularnewline
Winsorized Mean ( 44 / 48 ) & 249411.805555556 & 2650.21137546101 & 94.1101558407468 \tabularnewline
Winsorized Mean ( 45 / 48 ) & 249411.805555556 & 2638.16158686294 & 94.5400034620827 \tabularnewline
Winsorized Mean ( 46 / 48 ) & 250465.972222222 & 2527.74275846773 & 99.0868122886246 \tabularnewline
Winsorized Mean ( 47 / 48 ) & 250172.222222222 & 2487.88096855906 & 100.556347101734 \tabularnewline
Winsorized Mean ( 48 / 48 ) & 250938.888888889 & 2400.59827897938 & 104.531812376195 \tabularnewline
Trimmed Mean ( 1 / 48 ) & 249421.126760563 & 3664.42110717779 & 68.0656287761258 \tabularnewline
Trimmed Mean ( 2 / 48 ) & 249425.714285714 & 3643.76819109706 & 68.4526844751388 \tabularnewline
Trimmed Mean ( 3 / 48 ) & 249447.826086957 & 3627.16781573079 & 68.7720664605363 \tabularnewline
Trimmed Mean ( 4 / 48 ) & 249473.529411765 & 3609.31125109654 & 69.1194280725921 \tabularnewline
Trimmed Mean ( 5 / 48 ) & 249516.417910448 & 3591.73123532127 & 69.4696795396856 \tabularnewline
Trimmed Mean ( 6 / 48 ) & 249553.787878788 & 3573.81295396941 & 69.8284412455359 \tabularnewline
Trimmed Mean ( 7 / 48 ) & 249598.461538462 & 3558.6549462367 & 70.1384273860025 \tabularnewline
Trimmed Mean ( 8 / 48 ) & 249639.0625 & 3543.29420897379 & 70.4539470269675 \tabularnewline
Trimmed Mean ( 9 / 48 ) & 249688.095238095 & 3527.17785603702 & 70.789766047872 \tabularnewline
Trimmed Mean ( 10 / 48 ) & 249739.516129032 & 3509.3344893705 & 71.1643523538362 \tabularnewline
Trimmed Mean ( 11 / 48 ) & 249792.622950820 & 3490.2180389094 & 71.569346145742 \tabularnewline
Trimmed Mean ( 12 / 48 ) & 249860.833333333 & 3471.10285589193 & 71.9831257403432 \tabularnewline
Trimmed Mean ( 13 / 48 ) & 249912.711864407 & 3454.57611187239 & 72.3425114315844 \tabularnewline
Trimmed Mean ( 14 / 48 ) & 249956.896551724 & 3438.03756306768 & 72.7033640460558 \tabularnewline
Trimmed Mean ( 15 / 48 ) & 249994.736842105 & 3421.20610406591 & 73.0721065138404 \tabularnewline
Trimmed Mean ( 16 / 48 ) & 250045.535714286 & 3404.20473224832 & 73.4519676051158 \tabularnewline
Trimmed Mean ( 17 / 48 ) & 250107.272727273 & 3391.85348645046 & 73.7376404158917 \tabularnewline
Trimmed Mean ( 18 / 48 ) & 250163.888888889 & 3378.52170230224 & 74.0453698191191 \tabularnewline
Trimmed Mean ( 19 / 48 ) & 250219.811320755 & 3365.07868747322 & 74.3577890918921 \tabularnewline
Trimmed Mean ( 20 / 48 ) & 250271.153846154 & 3350.65192487256 & 74.6932714760196 \tabularnewline
Trimmed Mean ( 21 / 48 ) & 250317.647058824 & 3335.44189136712 & 75.0478213116836 \tabularnewline
Trimmed Mean ( 22 / 48 ) & 250351 & 3324.44344700331 & 75.3061389044441 \tabularnewline
Trimmed Mean ( 23 / 48 ) & 250372.448979592 & 3313.86061357996 & 75.55310200845 \tabularnewline
Trimmed Mean ( 24 / 48 ) & 250392.708333333 & 3303.19364496272 & 75.8032181114103 \tabularnewline
Trimmed Mean ( 25 / 48 ) & 250418.085106383 & 3291.38937588905 & 76.0827895176461 \tabularnewline
Trimmed Mean ( 26 / 48 ) & 250466.304347826 & 3280.30662524091 & 76.354540280036 \tabularnewline
Trimmed Mean ( 27 / 48 ) & 250528.888888889 & 3268.77377751969 & 76.6430796195958 \tabularnewline
Trimmed Mean ( 28 / 48 ) & 250580.681818182 & 3259.01284566338 & 76.8885222872374 \tabularnewline
Trimmed Mean ( 29 / 48 ) & 250639.534883721 & 3247.60430657200 & 77.1767466795493 \tabularnewline
Trimmed Mean ( 30 / 48 ) & 250691.666666667 & 3236.05672593765 & 77.4682546994068 \tabularnewline
Trimmed Mean ( 31 / 48 ) & 250743.902439024 & 3227.57199926221 & 77.688089528705 \tabularnewline
Trimmed Mean ( 32 / 48 ) & 250796.25 & 3218.28116900204 & 77.9286323443795 \tabularnewline
Trimmed Mean ( 33 / 48 ) & 250848.717948718 & 3211.56840816531 & 78.1078545021625 \tabularnewline
Trimmed Mean ( 34 / 48 ) & 250905.263157895 & 3202.96786425145 & 78.3352421228654 \tabularnewline
Trimmed Mean ( 35 / 48 ) & 250963.513513514 & 3191.71953363015 & 78.6295634278606 \tabularnewline
Trimmed Mean ( 36 / 48 ) & 251023.611111111 & 3177.38394786868 & 79.0032351235023 \tabularnewline
Trimmed Mean ( 37 / 48 ) & 251085.714285714 & 3161.581152838 & 79.417766664103 \tabularnewline
Trimmed Mean ( 38 / 48 ) & 251148.529411765 & 3141.54277585044 & 79.9443290546242 \tabularnewline
Trimmed Mean ( 39 / 48 ) & 251209.090909091 & 3118.94035504599 & 80.5430890984085 \tabularnewline
Trimmed Mean ( 40 / 48 ) & 251271.875 & 3091.6822846079 & 81.2735112695667 \tabularnewline
Trimmed Mean ( 41 / 48 ) & 251324.193548387 & 3060.37579001628 & 82.1220042219227 \tabularnewline
Trimmed Mean ( 42 / 48 ) & 251396.666666667 & 3027.89569735303 & 83.0268581861775 \tabularnewline
Trimmed Mean ( 43 / 48 ) & 251472.413793103 & 2988.52391915923 & 84.1460267996954 \tabularnewline
Trimmed Mean ( 44 / 48 ) & 251551.785714286 & 2941.60261015118 & 85.5152170610012 \tabularnewline
Trimmed Mean ( 45 / 48 ) & 251681.481481481 & 2893.043385169 & 86.9954051749484 \tabularnewline
Trimmed Mean ( 46 / 48 ) & 251821.153846154 & 2832.95934432436 & 88.88978740576 \tabularnewline
Trimmed Mean ( 47 / 48 ) & 251906 & 2776.01742334119 & 90.743666765898 \tabularnewline
Trimmed Mean ( 48 / 48 ) & 252016.666666667 & 2709.36014359606 & 93.0170421464058 \tabularnewline
Median & 258200 &  &  \tabularnewline
Midrange & 252650 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 250427.397260274 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 251023.611111111 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 250427.397260274 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 251023.611111111 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 251023.611111111 &  &  \tabularnewline
Midmean - Closest Observation & 250427.397260274 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 251023.611111111 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 250963.513513514 &  &  \tabularnewline
Number of observations & 144 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74355&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]249465.972222222[/C][C]3691.80263884181[/C][C]67.5729437964985[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]245446.240105035[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]241369.309165968[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]253342.212152522[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 48 )[/C][C]249416.666666667[/C][C]3683.12409092513[/C][C]67.718779087896[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 48 )[/C][C]249383.333333333[/C][C]3671.94616204250[/C][C]67.9158468910164[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 48 )[/C][C]249375[/C][C]3670.32233266249[/C][C]67.9436238558102[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 48 )[/C][C]249313.888888889[/C][C]3662.58813895223[/C][C]68.0704134427223[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 48 )[/C][C]249345.138888889[/C][C]3655.70740215888[/C][C]68.2070831876857[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 48 )[/C][C]249311.805555556[/C][C]3632.59365887368[/C][C]68.631900225487[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 48 )[/C][C]249345.833333333[/C][C]3623.33943357953[/C][C]68.8165814724685[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 48 )[/C][C]249295.833333333[/C][C]3616.02637320865[/C][C]68.9419289583674[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 48 )[/C][C]249289.583333333[/C][C]3613.75022307528[/C][C]68.9836230909146[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 48 )[/C][C]249289.583333333[/C][C]3606.92789302957[/C][C]69.1141022849634[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 48 )[/C][C]249167.361111111[/C][C]3589.05311778816[/C][C]69.4242612003098[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 48 )[/C][C]249350.694444444[/C][C]3549.9741450036[/C][C]70.2401438036929[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 48 )[/C][C]249450[/C][C]3531.36902780879[/C][C]70.6383269592143[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 48 )[/C][C]249537.5[/C][C]3513.93342603013[/C][C]71.0137244352734[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 48 )[/C][C]249402.083333333[/C][C]3493.87707693051[/C][C]71.3826153129697[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 48 )[/C][C]249290.972222222[/C][C]3428.41205803785[/C][C]72.7132468332574[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 48 )[/C][C]249385.416666667[/C][C]3417.30990146568[/C][C]72.977114706426[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 48 )[/C][C]249422.916666667[/C][C]3396.16807218717[/C][C]73.4424537788071[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 48 )[/C][C]249515.277777778[/C][C]3382.56925809143[/C][C]73.7650166898766[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 48 )[/C][C]249612.5[/C][C]3365.29719472426[/C][C]74.1724981648916[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 48 )[/C][C]249831.25[/C][C]3296.13693811288[/C][C]75.795167097346[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 48 )[/C][C]250029.861111111[/C][C]3267.77193373383[/C][C]76.5138651599292[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 48 )[/C][C]250061.805555556[/C][C]3243.82998634494[/C][C]77.0884437865743[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 48 )[/C][C]249995.138888889[/C][C]3229.76221365313[/C][C]77.4035741182703[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 48 )[/C][C]249647.916666667[/C][C]3193.94458639007[/C][C]78.1628828910989[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 48 )[/C][C]249449.305555556[/C][C]3170.06044317941[/C][C]78.689132282087[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 48 )[/C][C]249674.305555556[/C][C]3122.49584928394[/C][C]79.9598518642744[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 48 )[/C][C]249596.527777778[/C][C]3110.71340557162[/C][C]80.2377124587317[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 48 )[/C][C]249757.638888889[/C][C]3081.21778678385[/C][C]81.0580933162742[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 48 )[/C][C]249799.305555556[/C][C]3017.45689796039[/C][C]82.7847137516377[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 48 )[/C][C]249842.361111111[/C][C]2995.60325632901[/C][C]83.4030209385213[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 48 )[/C][C]249886.805555556[/C][C]2937.5977635086[/C][C]85.0650176343736[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 48 )[/C][C]249863.888888889[/C][C]2926.25739367268[/C][C]85.3868458151218[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 48 )[/C][C]249887.5[/C][C]2919.15476209438[/C][C]85.6026899446454[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 48 )[/C][C]249911.805555556[/C][C]2911.85292015926[/C][C]85.8256966982682[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 48 )[/C][C]249936.805555556[/C][C]2884.56488825086[/C][C]86.6462760375316[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 48 )[/C][C]249988.194444444[/C][C]2879.35736088826[/C][C]86.8208294809661[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 48 )[/C][C]250093.75[/C][C]2853.09119882985[/C][C]87.657117340859[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 48 )[/C][C]250120.833333333[/C][C]2839.71324675839[/C][C]88.0796093122618[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 48 )[/C][C]250370.833333333[/C][C]2814.67182829033[/C][C]88.9520514671906[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 48 )[/C][C]250086.111111111[/C][C]2759.61387453216[/C][C]90.623588111039[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 48 )[/C][C]250115.277777778[/C][C]2745.34559134781[/C][C]91.1052067783516[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 48 )[/C][C]250145.138888889[/C][C]2724.95497098249[/C][C]91.7978981497438[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 48 )[/C][C]249411.805555556[/C][C]2650.21137546101[/C][C]94.1101558407468[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 48 )[/C][C]249411.805555556[/C][C]2638.16158686294[/C][C]94.5400034620827[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 48 )[/C][C]250465.972222222[/C][C]2527.74275846773[/C][C]99.0868122886246[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 48 )[/C][C]250172.222222222[/C][C]2487.88096855906[/C][C]100.556347101734[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 48 )[/C][C]250938.888888889[/C][C]2400.59827897938[/C][C]104.531812376195[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 48 )[/C][C]249421.126760563[/C][C]3664.42110717779[/C][C]68.0656287761258[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 48 )[/C][C]249425.714285714[/C][C]3643.76819109706[/C][C]68.4526844751388[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 48 )[/C][C]249447.826086957[/C][C]3627.16781573079[/C][C]68.7720664605363[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 48 )[/C][C]249473.529411765[/C][C]3609.31125109654[/C][C]69.1194280725921[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 48 )[/C][C]249516.417910448[/C][C]3591.73123532127[/C][C]69.4696795396856[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 48 )[/C][C]249553.787878788[/C][C]3573.81295396941[/C][C]69.8284412455359[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 48 )[/C][C]249598.461538462[/C][C]3558.6549462367[/C][C]70.1384273860025[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 48 )[/C][C]249639.0625[/C][C]3543.29420897379[/C][C]70.4539470269675[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 48 )[/C][C]249688.095238095[/C][C]3527.17785603702[/C][C]70.789766047872[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 48 )[/C][C]249739.516129032[/C][C]3509.3344893705[/C][C]71.1643523538362[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 48 )[/C][C]249792.622950820[/C][C]3490.2180389094[/C][C]71.569346145742[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 48 )[/C][C]249860.833333333[/C][C]3471.10285589193[/C][C]71.9831257403432[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 48 )[/C][C]249912.711864407[/C][C]3454.57611187239[/C][C]72.3425114315844[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 48 )[/C][C]249956.896551724[/C][C]3438.03756306768[/C][C]72.7033640460558[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 48 )[/C][C]249994.736842105[/C][C]3421.20610406591[/C][C]73.0721065138404[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 48 )[/C][C]250045.535714286[/C][C]3404.20473224832[/C][C]73.4519676051158[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 48 )[/C][C]250107.272727273[/C][C]3391.85348645046[/C][C]73.7376404158917[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 48 )[/C][C]250163.888888889[/C][C]3378.52170230224[/C][C]74.0453698191191[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 48 )[/C][C]250219.811320755[/C][C]3365.07868747322[/C][C]74.3577890918921[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 48 )[/C][C]250271.153846154[/C][C]3350.65192487256[/C][C]74.6932714760196[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 48 )[/C][C]250317.647058824[/C][C]3335.44189136712[/C][C]75.0478213116836[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 48 )[/C][C]250351[/C][C]3324.44344700331[/C][C]75.3061389044441[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 48 )[/C][C]250372.448979592[/C][C]3313.86061357996[/C][C]75.55310200845[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 48 )[/C][C]250392.708333333[/C][C]3303.19364496272[/C][C]75.8032181114103[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 48 )[/C][C]250418.085106383[/C][C]3291.38937588905[/C][C]76.0827895176461[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 48 )[/C][C]250466.304347826[/C][C]3280.30662524091[/C][C]76.354540280036[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 48 )[/C][C]250528.888888889[/C][C]3268.77377751969[/C][C]76.6430796195958[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 48 )[/C][C]250580.681818182[/C][C]3259.01284566338[/C][C]76.8885222872374[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 48 )[/C][C]250639.534883721[/C][C]3247.60430657200[/C][C]77.1767466795493[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 48 )[/C][C]250691.666666667[/C][C]3236.05672593765[/C][C]77.4682546994068[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 48 )[/C][C]250743.902439024[/C][C]3227.57199926221[/C][C]77.688089528705[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 48 )[/C][C]250796.25[/C][C]3218.28116900204[/C][C]77.9286323443795[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 48 )[/C][C]250848.717948718[/C][C]3211.56840816531[/C][C]78.1078545021625[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 48 )[/C][C]250905.263157895[/C][C]3202.96786425145[/C][C]78.3352421228654[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 48 )[/C][C]250963.513513514[/C][C]3191.71953363015[/C][C]78.6295634278606[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 48 )[/C][C]251023.611111111[/C][C]3177.38394786868[/C][C]79.0032351235023[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 48 )[/C][C]251085.714285714[/C][C]3161.581152838[/C][C]79.417766664103[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 48 )[/C][C]251148.529411765[/C][C]3141.54277585044[/C][C]79.9443290546242[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 48 )[/C][C]251209.090909091[/C][C]3118.94035504599[/C][C]80.5430890984085[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 48 )[/C][C]251271.875[/C][C]3091.6822846079[/C][C]81.2735112695667[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 48 )[/C][C]251324.193548387[/C][C]3060.37579001628[/C][C]82.1220042219227[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 48 )[/C][C]251396.666666667[/C][C]3027.89569735303[/C][C]83.0268581861775[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 48 )[/C][C]251472.413793103[/C][C]2988.52391915923[/C][C]84.1460267996954[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 48 )[/C][C]251551.785714286[/C][C]2941.60261015118[/C][C]85.5152170610012[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 48 )[/C][C]251681.481481481[/C][C]2893.043385169[/C][C]86.9954051749484[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 48 )[/C][C]251821.153846154[/C][C]2832.95934432436[/C][C]88.88978740576[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 48 )[/C][C]251906[/C][C]2776.01742334119[/C][C]90.743666765898[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 48 )[/C][C]252016.666666667[/C][C]2709.36014359606[/C][C]93.0170421464058[/C][/ROW]
[ROW][C]Median[/C][C]258200[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]252650[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]250427.397260274[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]251023.611111111[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]250427.397260274[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]251023.611111111[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]251023.611111111[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]250427.397260274[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]251023.611111111[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]250963.513513514[/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=74355&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74355&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 Mean249465.9722222223691.8026388418167.5729437964985
Geometric Mean245446.240105035
Harmonic Mean241369.309165968
Quadratic Mean253342.212152522
Winsorized Mean ( 1 / 48 )249416.6666666673683.1240909251367.718779087896
Winsorized Mean ( 2 / 48 )249383.3333333333671.9461620425067.9158468910164
Winsorized Mean ( 3 / 48 )2493753670.3223326624967.9436238558102
Winsorized Mean ( 4 / 48 )249313.8888888893662.5881389522368.0704134427223
Winsorized Mean ( 5 / 48 )249345.1388888893655.7074021588868.2070831876857
Winsorized Mean ( 6 / 48 )249311.8055555563632.5936588736868.631900225487
Winsorized Mean ( 7 / 48 )249345.8333333333623.3394335795368.8165814724685
Winsorized Mean ( 8 / 48 )249295.8333333333616.0263732086568.9419289583674
Winsorized Mean ( 9 / 48 )249289.5833333333613.7502230752868.9836230909146
Winsorized Mean ( 10 / 48 )249289.5833333333606.9278930295769.1141022849634
Winsorized Mean ( 11 / 48 )249167.3611111113589.0531177881669.4242612003098
Winsorized Mean ( 12 / 48 )249350.6944444443549.974145003670.2401438036929
Winsorized Mean ( 13 / 48 )2494503531.3690278087970.6383269592143
Winsorized Mean ( 14 / 48 )249537.53513.9334260301371.0137244352734
Winsorized Mean ( 15 / 48 )249402.0833333333493.8770769305171.3826153129697
Winsorized Mean ( 16 / 48 )249290.9722222223428.4120580378572.7132468332574
Winsorized Mean ( 17 / 48 )249385.4166666673417.3099014656872.977114706426
Winsorized Mean ( 18 / 48 )249422.9166666673396.1680721871773.4424537788071
Winsorized Mean ( 19 / 48 )249515.2777777783382.5692580914373.7650166898766
Winsorized Mean ( 20 / 48 )249612.53365.2971947242674.1724981648916
Winsorized Mean ( 21 / 48 )249831.253296.1369381128875.795167097346
Winsorized Mean ( 22 / 48 )250029.8611111113267.7719337338376.5138651599292
Winsorized Mean ( 23 / 48 )250061.8055555563243.8299863449477.0884437865743
Winsorized Mean ( 24 / 48 )249995.1388888893229.7622136531377.4035741182703
Winsorized Mean ( 25 / 48 )249647.9166666673193.9445863900778.1628828910989
Winsorized Mean ( 26 / 48 )249449.3055555563170.0604431794178.689132282087
Winsorized Mean ( 27 / 48 )249674.3055555563122.4958492839479.9598518642744
Winsorized Mean ( 28 / 48 )249596.5277777783110.7134055716280.2377124587317
Winsorized Mean ( 29 / 48 )249757.6388888893081.2177867838581.0580933162742
Winsorized Mean ( 30 / 48 )249799.3055555563017.4568979603982.7847137516377
Winsorized Mean ( 31 / 48 )249842.3611111112995.6032563290183.4030209385213
Winsorized Mean ( 32 / 48 )249886.8055555562937.597763508685.0650176343736
Winsorized Mean ( 33 / 48 )249863.8888888892926.2573936726885.3868458151218
Winsorized Mean ( 34 / 48 )249887.52919.1547620943885.6026899446454
Winsorized Mean ( 35 / 48 )249911.8055555562911.8529201592685.8256966982682
Winsorized Mean ( 36 / 48 )249936.8055555562884.5648882508686.6462760375316
Winsorized Mean ( 37 / 48 )249988.1944444442879.3573608882686.8208294809661
Winsorized Mean ( 38 / 48 )250093.752853.0911988298587.657117340859
Winsorized Mean ( 39 / 48 )250120.8333333332839.7132467583988.0796093122618
Winsorized Mean ( 40 / 48 )250370.8333333332814.6718282903388.9520514671906
Winsorized Mean ( 41 / 48 )250086.1111111112759.6138745321690.623588111039
Winsorized Mean ( 42 / 48 )250115.2777777782745.3455913478191.1052067783516
Winsorized Mean ( 43 / 48 )250145.1388888892724.9549709824991.7978981497438
Winsorized Mean ( 44 / 48 )249411.8055555562650.2113754610194.1101558407468
Winsorized Mean ( 45 / 48 )249411.8055555562638.1615868629494.5400034620827
Winsorized Mean ( 46 / 48 )250465.9722222222527.7427584677399.0868122886246
Winsorized Mean ( 47 / 48 )250172.2222222222487.88096855906100.556347101734
Winsorized Mean ( 48 / 48 )250938.8888888892400.59827897938104.531812376195
Trimmed Mean ( 1 / 48 )249421.1267605633664.4211071777968.0656287761258
Trimmed Mean ( 2 / 48 )249425.7142857143643.7681910970668.4526844751388
Trimmed Mean ( 3 / 48 )249447.8260869573627.1678157307968.7720664605363
Trimmed Mean ( 4 / 48 )249473.5294117653609.3112510965469.1194280725921
Trimmed Mean ( 5 / 48 )249516.4179104483591.7312353212769.4696795396856
Trimmed Mean ( 6 / 48 )249553.7878787883573.8129539694169.8284412455359
Trimmed Mean ( 7 / 48 )249598.4615384623558.654946236770.1384273860025
Trimmed Mean ( 8 / 48 )249639.06253543.2942089737970.4539470269675
Trimmed Mean ( 9 / 48 )249688.0952380953527.1778560370270.789766047872
Trimmed Mean ( 10 / 48 )249739.5161290323509.334489370571.1643523538362
Trimmed Mean ( 11 / 48 )249792.6229508203490.218038909471.569346145742
Trimmed Mean ( 12 / 48 )249860.8333333333471.1028558919371.9831257403432
Trimmed Mean ( 13 / 48 )249912.7118644073454.5761118723972.3425114315844
Trimmed Mean ( 14 / 48 )249956.8965517243438.0375630676872.7033640460558
Trimmed Mean ( 15 / 48 )249994.7368421053421.2061040659173.0721065138404
Trimmed Mean ( 16 / 48 )250045.5357142863404.2047322483273.4519676051158
Trimmed Mean ( 17 / 48 )250107.2727272733391.8534864504673.7376404158917
Trimmed Mean ( 18 / 48 )250163.8888888893378.5217023022474.0453698191191
Trimmed Mean ( 19 / 48 )250219.8113207553365.0786874732274.3577890918921
Trimmed Mean ( 20 / 48 )250271.1538461543350.6519248725674.6932714760196
Trimmed Mean ( 21 / 48 )250317.6470588243335.4418913671275.0478213116836
Trimmed Mean ( 22 / 48 )2503513324.4434470033175.3061389044441
Trimmed Mean ( 23 / 48 )250372.4489795923313.8606135799675.55310200845
Trimmed Mean ( 24 / 48 )250392.7083333333303.1936449627275.8032181114103
Trimmed Mean ( 25 / 48 )250418.0851063833291.3893758890576.0827895176461
Trimmed Mean ( 26 / 48 )250466.3043478263280.3066252409176.354540280036
Trimmed Mean ( 27 / 48 )250528.8888888893268.7737775196976.6430796195958
Trimmed Mean ( 28 / 48 )250580.6818181823259.0128456633876.8885222872374
Trimmed Mean ( 29 / 48 )250639.5348837213247.6043065720077.1767466795493
Trimmed Mean ( 30 / 48 )250691.6666666673236.0567259376577.4682546994068
Trimmed Mean ( 31 / 48 )250743.9024390243227.5719992622177.688089528705
Trimmed Mean ( 32 / 48 )250796.253218.2811690020477.9286323443795
Trimmed Mean ( 33 / 48 )250848.7179487183211.5684081653178.1078545021625
Trimmed Mean ( 34 / 48 )250905.2631578953202.9678642514578.3352421228654
Trimmed Mean ( 35 / 48 )250963.5135135143191.7195336301578.6295634278606
Trimmed Mean ( 36 / 48 )251023.6111111113177.3839478686879.0032351235023
Trimmed Mean ( 37 / 48 )251085.7142857143161.58115283879.417766664103
Trimmed Mean ( 38 / 48 )251148.5294117653141.5427758504479.9443290546242
Trimmed Mean ( 39 / 48 )251209.0909090913118.9403550459980.5430890984085
Trimmed Mean ( 40 / 48 )251271.8753091.682284607981.2735112695667
Trimmed Mean ( 41 / 48 )251324.1935483873060.3757900162882.1220042219227
Trimmed Mean ( 42 / 48 )251396.6666666673027.8956973530383.0268581861775
Trimmed Mean ( 43 / 48 )251472.4137931032988.5239191592384.1460267996954
Trimmed Mean ( 44 / 48 )251551.7857142862941.6026101511885.5152170610012
Trimmed Mean ( 45 / 48 )251681.4814814812893.04338516986.9954051749484
Trimmed Mean ( 46 / 48 )251821.1538461542832.9593443243688.88978740576
Trimmed Mean ( 47 / 48 )2519062776.0174233411990.743666765898
Trimmed Mean ( 48 / 48 )252016.6666666672709.3601435960693.0170421464058
Median258200
Midrange252650
Midmean - Weighted Average at Xnp250427.397260274
Midmean - Weighted Average at X(n+1)p251023.611111111
Midmean - Empirical Distribution Function250427.397260274
Midmean - Empirical Distribution Function - Averaging251023.611111111
Midmean - Empirical Distribution Function - Interpolation251023.611111111
Midmean - Closest Observation250427.397260274
Midmean - True Basic - Statistics Graphics Toolkit251023.611111111
Midmean - MS Excel (old versions)250963.513513514
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')