Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationTue, 29 Dec 2009 15:05:28 -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/2009/Dec/29/t1262124722frm1yk76m23p2ex.htm/, Retrieved Fri, 03 May 2024 09:14:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=71213, Retrieved Fri, 03 May 2024 09:14:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsCaseStatistiek - EDA Fixed Location Inflatie
Estimated Impact117
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
F RMPD  [Univariate Explorative Data Analysis] [Colombia Coffee] [2008-01-07 14:21:11] [74be16979710d4c4e7c6647856088456]
F RMPD    [Univariate Data Series] [] [2009-10-14 08:30:28] [74be16979710d4c4e7c6647856088456]
- RMP       [Central Tendency] [Workshop 3 centra...] [2009-10-20 19:51:36] [df6326eec97a6ca984a853b142930499]
-    D        [Central Tendency] [Workshop3 vraag 2...] [2009-10-20 21:12:33] [df6326eec97a6ca984a853b142930499]
-  M D            [Central Tendency] [CaseStatistiek - ...] [2009-12-29 22:05:28] [0cc924834281808eda7297686c82928f] [Current]
Feedback Forum

Post a new message
Dataseries X:
2.1
2.1
2.6
2.6
2.7
2.5
2.4
1.9
2.2
1.9
2
2.2
2.5
2.5
2.7
2.6
2.3
2
2.3
2.9
2.5
2.5
2.3
2.5
2.3
2.4
2.2
2.4
2.6
2.8
2.8
2.5
2.5
2.2
2.1
1.9
1.9
1.7
1.7
1.6
1.4
1.1
0.8
0.9
1
1
1.1
1.3
1.4
1.4
1.6
2
2.1
1.9
1.5
1.2
1.5
2.2
2.1
2.1
2.1
1.9
1.3
1.1
1.4
1.6
1.9
1.7
1.6
1.2
1.3
0.9
0.5
0.8
1
1.3
1.3
1.2
1.2
1
0.8
0.7
0.6
0.7
1
1
1.3
1.1
0.8
0.7
0.7
0.9
1.3
1.4
1.6
2.1
0.3
2.1
2.5
2.3
2.4
3
1.7
3.5
4
3.7
3.7
3
2.7
2.5
2.2
2.9
3.1
3
2.8
2.5
1.9
1.9
1.8
2
2.6
2.5
2.5
1.6
1.4
0.8
1.1
1.3
1.2
1.3
1.1
1.3
1.2
1.6
1.7
1.5
0.9
1.5
1.4
1.6
1.7
1.4
1.8
1.7
1.4
1.2
1
1.7
2.4
2
2.1
2
1.8
2.7
2.3
1.9
2
2.3
2.8
2.4
2.3
2.7
2.7
2.9
3
2.2
2.3
2.8
2.8
2.8
2.2
2.6
2.8
2.5
2.4
2.3
1.9
1.7
2
2.1
1.7
1.8
1.8
1.8
1.3
1.3
1.3
1.2
1.4
2.2
2.9
3.1
3.5
3.6
4.4
4.1
5.1
5.8
5.9
5.4
5.5
4.8
3.2
2.7
2.1
1.9
0.6
0.7
-0.2
-1
-1.7
-0.7
-1
-0.9




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=71213&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=71213&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71213&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 Mean1.961682242990650.072211260296804327.1658773843263
Geometric MeanNaN
Harmonic Mean1.82656313752954
Quadratic Mean2.22685394776418
Winsorized Mean ( 1 / 71 )1.964485981308410.071383848612272527.5200345666243
Winsorized Mean ( 2 / 71 )1.961682242990650.07070071729675927.7462848751123
Winsorized Mean ( 3 / 71 )1.961682242990650.07010240827415727.9830934669019
Winsorized Mean ( 4 / 71 )1.959813084112150.068148764822894328.7578665468895
Winsorized Mean ( 5 / 71 )1.964485981308410.06467621578244230.3741639417581
Winsorized Mean ( 6 / 71 )1.967289719626170.060443679368625532.5474845372721
Winsorized Mean ( 7 / 71 )1.964018691588790.057851364669556433.9493925995894
Winsorized Mean ( 8 / 71 )1.964018691588790.056779616773881534.5902068943204
Winsorized Mean ( 9 / 71 )1.951401869158880.054769968506519835.6290485894032
Winsorized Mean ( 10 / 71 )1.956074766355140.054245233564620636.0598459590912
Winsorized Mean ( 11 / 71 )1.950934579439250.053485180978995836.4761704780508
Winsorized Mean ( 12 / 71 )1.945327102803740.052690818823443336.9196597479753
Winsorized Mean ( 13 / 71 )1.945327102803740.052690818823443336.9196597479753
Winsorized Mean ( 14 / 71 )1.925700934579440.050156318512107938.3939848797828
Winsorized Mean ( 15 / 71 )1.925700934579440.048556144805407239.6592633599073
Winsorized Mean ( 16 / 71 )1.925700934579440.048556144805407239.6592633599073
Winsorized Mean ( 17 / 71 )1.917757009345790.047681657966545640.2200152245405
Winsorized Mean ( 18 / 71 )1.917757009345790.047681657966545640.2200152245405
Winsorized Mean ( 19 / 71 )1.917757009345790.047681657966545640.2200152245405
Winsorized Mean ( 20 / 71 )1.927102803738320.046684371677850441.2793989611012
Winsorized Mean ( 21 / 71 )1.917289719626170.045658811221889241.9916696978524
Winsorized Mean ( 22 / 71 )1.917289719626170.045658811221889241.9916696978524
Winsorized Mean ( 23 / 71 )1.917289719626170.045658811221889241.9916696978524
Winsorized Mean ( 24 / 71 )1.928504672897200.044522762380111143.3150274107584
Winsorized Mean ( 25 / 71 )1.916822429906540.043365361620598644.2016936622534
Winsorized Mean ( 26 / 71 )1.916822429906540.043365361620598644.2016936622534
Winsorized Mean ( 27 / 71 )1.916822429906540.043365361620598644.2016936622534
Winsorized Mean ( 28 / 71 )1.916822429906540.043365361620598644.2016936622534
Winsorized Mean ( 29 / 71 )1.916822429906540.043365361620598644.2016936622534
Winsorized Mean ( 30 / 71 )1.916822429906540.043365361620598644.2016936622534
Winsorized Mean ( 31 / 71 )1.931308411214950.041972198302213146.0139923410474
Winsorized Mean ( 32 / 71 )1.931308411214950.041972198302213146.0139923410474
Winsorized Mean ( 33 / 71 )1.915887850467290.040521690488371147.280550919195
Winsorized Mean ( 34 / 71 )1.915887850467290.040521690488371147.280550919195
Winsorized Mean ( 35 / 71 )1.915887850467290.040521690488371147.280550919195
Winsorized Mean ( 36 / 71 )1.915887850467290.040521690488371147.280550919195
Winsorized Mean ( 37 / 71 )1.933177570093460.038939261081038649.6459746904344
Winsorized Mean ( 38 / 71 )1.933177570093460.038939261081038649.6459746904344
Winsorized Mean ( 39 / 71 )1.933177570093460.038939261081038649.6459746904344
Winsorized Mean ( 40 / 71 )1.914485981308410.037266846001948051.3723640902784
Winsorized Mean ( 41 / 71 )1.914485981308410.037266846001948051.3723640902784
Winsorized Mean ( 42 / 71 )1.914485981308410.037266846001948051.3723640902784
Winsorized Mean ( 43 / 71 )1.914485981308410.037266846001948051.3723640902784
Winsorized Mean ( 44 / 71 )1.914485981308410.037266846001948051.3723640902784
Winsorized Mean ( 45 / 71 )1.935514018691590.035433621289098454.6236582171485
Winsorized Mean ( 46 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 47 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 48 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 49 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 50 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 51 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 52 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 53 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 54 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 55 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 56 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 57 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 58 / 71 )1.941121495327100.031342691794521561.9321884684582
Winsorized Mean ( 59 / 71 )1.941121495327100.031342691794521561.9321884684582
Winsorized Mean ( 60 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 61 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 62 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 63 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 64 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 65 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 66 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 67 / 71 )1.881775700934580.026676972431182970.5393277212732
Winsorized Mean ( 68 / 71 )1.913551401869160.024043594650977279.5867435650429
Winsorized Mean ( 69 / 71 )1.913551401869160.024043594650977279.5867435650429
Winsorized Mean ( 70 / 71 )1.913551401869160.024043594650977279.5867435650429
Winsorized Mean ( 71 / 71 )1.913551401869160.024043594650977279.5867435650429
Trimmed Mean ( 1 / 71 )1.961682242990650.068315923528616328.7148609235875
Trimmed Mean ( 2 / 71 )1.960377358490570.064968743449822930.1741615182171
Trimmed Mean ( 3 / 71 )1.953365384615380.061709069047297731.6544296449879
Trimmed Mean ( 4 / 71 )1.953365384615380.05838114282022333.4588411643553
Trimmed Mean ( 5 / 71 )1.948039215686270.055375838808706635.1785048785570
Trimmed Mean ( 6 / 71 )1.944554455445540.053043662338723136.6595059562087
Trimmed Mean ( 7 / 71 )1.944554455445540.051485947246011737.7686448333954
Trimmed Mean ( 8 / 71 )1.94050.050318388071077438.5644309046415
Trimmed Mean ( 9 / 71 )1.933163265306120.049252507466844739.2500476571161
Trimmed Mean ( 10 / 71 )1.930927835051550.048428769146501239.8715034282685
Trimmed Mean ( 11 / 71 )1.9281250.047622386707833540.4877859614466
Trimmed Mean ( 12 / 71 )1.925789473684210.046863064344405741.0939724199684
Trimmed Mean ( 13 / 71 )1.923936170212770.046151925266122841.6870186697283
Trimmed Mean ( 14 / 71 )1.923936170212770.045392032420490242.3848871183017
Trimmed Mean ( 15 / 71 )1.922043010752690.044863591554627842.84193360695
Trimmed Mean ( 16 / 71 )1.921739130434780.044463500434025643.2205991808098
Trimmed Mean ( 17 / 71 )1.921111111111110.044035909454335643.6260119279077
Trimmed Mean ( 18 / 71 )1.921348314606740.043660827961924644.006227190247
Trimmed Mean ( 19 / 71 )1.921590909090910.043259243643026244.4203538311444
Trimmed Mean ( 20 / 71 )1.921839080459770.042829082720712844.8722914051657
Trimmed Mean ( 21 / 71 )1.921511627906980.042453968230236845.2610605794543
Trimmed Mean ( 22 / 71 )1.921764705882350.042136416198750545.6081669788363
Trimmed Mean ( 23 / 71 )1.922023809523810.041794860639161745.9870850178856
Trimmed Mean ( 24 / 71 )1.922289156626510.04142740216637946.4013927039472
Trimmed Mean ( 25 / 71 )1.921951219512200.041120480241873646.7395129679212
Trimmed Mean ( 26 / 71 )1.922222222222220.040876449633649147.0251756072247
Trimmed Mean ( 27 / 71 )1.922222222222220.04061196573679147.3314252917546
Trimmed Mean ( 28 / 71 )1.92250.04032539915239747.6746675893901
Trimmed Mean ( 29 / 71 )1.922784810126580.04001494916937248.051661942340
Trimmed Mean ( 30 / 71 )1.923076923076920.03967861946359148.4663264265415
Trimmed Mean ( 31 / 71 )1.923376623376620.03931418922125348.9232173287922
Trimmed Mean ( 32 / 71 )1.923684210526320.039019488811160349.3006000113488
Trimmed Mean ( 33 / 71 )1.922972972972970.038698900315587449.6906360979571
Trimmed Mean ( 34 / 71 )1.923287671232880.03845186791730850.0180556993738
Trimmed Mean ( 35 / 71 )1.923611111111110.038181595281639150.380585120186
Trimmed Mean ( 36 / 71 )1.923943661971830.037886022379024150.7824137019208
Trimmed Mean ( 37 / 71 )1.924285714285710.037562848034841851.2284295509441
Trimmed Mean ( 38 / 71 )1.923913043478260.037319392616947651.552635468257
Trimmed Mean ( 39 / 71 )1.923529411764710.037051387710622151.9151786375131
Trimmed Mean ( 40 / 71 )1.923134328358210.036756533197446152.3208845085486
Trimmed Mean ( 41 / 71 )1.923484848484850.036547445365756452.6298029653006
Trimmed Mean ( 42 / 71 )1.923846153846150.036315122593554752.9764466274334
Trimmed Mean ( 43 / 71 )1.924218750.036057322816979353.3655468479177
Trimmed Mean ( 44 / 71 )1.924603174603170.035771523798127653.8026611744148
Trimmed Mean ( 45 / 71 )1.9250.035454876335511754.2943650905337
Trimmed Mean ( 46 / 71 )1.924590163934430.035234163076143154.6228431700017
Trimmed Mean ( 47 / 71 )1.9250.035111866046322654.8247705621904
Trimmed Mean ( 48 / 71 )1.925423728813560.034970371778540955.0587148746033
Trimmed Mean ( 49 / 71 )1.925862068965520.034807689478897255.3286385220458
Trimmed Mean ( 50 / 71 )1.926315789473680.034621573674960355.6391747977323
Trimmed Mean ( 51 / 71 )1.926785714285710.034409482070119655.9957778602802
Trimmed Mean ( 52 / 71 )1.927272727272730.034168524378883356.4049154099207
Trimmed Mean ( 53 / 71 )1.927777777777780.033895399677583156.8743191145411
Trimmed Mean ( 54 / 71 )1.927777777777780.033586318958320657.3977094712308
Trimmed Mean ( 55 / 71 )1.928301886792450.033236908368554658.0168848862253
Trimmed Mean ( 56 / 71 )1.928846153846150.032842086869679558.7309253976459
Trimmed Mean ( 57 / 71 )1.929411764705880.032395909456209959.5572650094575
Trimmed Mean ( 58 / 71 )1.930.031891363145341660.5179525003125
Trimmed Mean ( 59 / 71 )1.930612244897960.031522749779404961.2450455118388
Trimmed Mean ( 60 / 71 )1.930208333333330.031102291261218262.060004426109
Trimmed Mean ( 61 / 71 )1.929787234042550.030824748932675862.6051241571307
Trimmed Mean ( 62 / 71 )1.930434782608700.030503246565690463.286207205892
Trimmed Mean ( 63 / 71 )1.931111111111110.030131436843824664.0895793028499
Trimmed Mean ( 64 / 71 )1.931818181818180.029701748646865565.0405538335889
Trimmed Mean ( 65 / 71 )1.933333333333330.029205060378823666.1985734066546
Trimmed Mean ( 66 / 71 )1.934146341463410.028630253137999467.5560335474758
Trimmed Mean ( 67 / 71 )1.9350.027963583914020369.1971388914078
Trimmed Mean ( 68 / 71 )1.937179487179490.027439818468040670.5973871305212
Trimmed Mean ( 69 / 71 )1.938157894736840.027142709612967771.4062052894996
Trimmed Mean ( 70 / 71 )1.939189189189190.026787629114132972.3912213703934
Trimmed Mean ( 71 / 71 )1.940277777777780.026364167647921273.5952601913746
Median1.9
Midrange2.1
Midmean - Weighted Average at Xnp1.91951219512195
Midmean - Weighted Average at X(n+1)p1.91951219512195
Midmean - Empirical Distribution Function1.91951219512195
Midmean - Empirical Distribution Function - Averaging1.91951219512195
Midmean - Empirical Distribution Function - Interpolation1.91951219512195
Midmean - Closest Observation1.91951219512195
Midmean - True Basic - Statistics Graphics Toolkit1.91951219512195
Midmean - MS Excel (old versions)1.91951219512195
Number of observations214

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 1.96168224299065 & 0.0722112602968043 & 27.1658773843263 \tabularnewline
Geometric Mean & NaN &  &  \tabularnewline
Harmonic Mean & 1.82656313752954 &  &  \tabularnewline
Quadratic Mean & 2.22685394776418 &  &  \tabularnewline
Winsorized Mean ( 1 / 71 ) & 1.96448598130841 & 0.0713838486122725 & 27.5200345666243 \tabularnewline
Winsorized Mean ( 2 / 71 ) & 1.96168224299065 & 0.070700717296759 & 27.7462848751123 \tabularnewline
Winsorized Mean ( 3 / 71 ) & 1.96168224299065 & 0.070102408274157 & 27.9830934669019 \tabularnewline
Winsorized Mean ( 4 / 71 ) & 1.95981308411215 & 0.0681487648228943 & 28.7578665468895 \tabularnewline
Winsorized Mean ( 5 / 71 ) & 1.96448598130841 & 0.064676215782442 & 30.3741639417581 \tabularnewline
Winsorized Mean ( 6 / 71 ) & 1.96728971962617 & 0.0604436793686255 & 32.5474845372721 \tabularnewline
Winsorized Mean ( 7 / 71 ) & 1.96401869158879 & 0.0578513646695564 & 33.9493925995894 \tabularnewline
Winsorized Mean ( 8 / 71 ) & 1.96401869158879 & 0.0567796167738815 & 34.5902068943204 \tabularnewline
Winsorized Mean ( 9 / 71 ) & 1.95140186915888 & 0.0547699685065198 & 35.6290485894032 \tabularnewline
Winsorized Mean ( 10 / 71 ) & 1.95607476635514 & 0.0542452335646206 & 36.0598459590912 \tabularnewline
Winsorized Mean ( 11 / 71 ) & 1.95093457943925 & 0.0534851809789958 & 36.4761704780508 \tabularnewline
Winsorized Mean ( 12 / 71 ) & 1.94532710280374 & 0.0526908188234433 & 36.9196597479753 \tabularnewline
Winsorized Mean ( 13 / 71 ) & 1.94532710280374 & 0.0526908188234433 & 36.9196597479753 \tabularnewline
Winsorized Mean ( 14 / 71 ) & 1.92570093457944 & 0.0501563185121079 & 38.3939848797828 \tabularnewline
Winsorized Mean ( 15 / 71 ) & 1.92570093457944 & 0.0485561448054072 & 39.6592633599073 \tabularnewline
Winsorized Mean ( 16 / 71 ) & 1.92570093457944 & 0.0485561448054072 & 39.6592633599073 \tabularnewline
Winsorized Mean ( 17 / 71 ) & 1.91775700934579 & 0.0476816579665456 & 40.2200152245405 \tabularnewline
Winsorized Mean ( 18 / 71 ) & 1.91775700934579 & 0.0476816579665456 & 40.2200152245405 \tabularnewline
Winsorized Mean ( 19 / 71 ) & 1.91775700934579 & 0.0476816579665456 & 40.2200152245405 \tabularnewline
Winsorized Mean ( 20 / 71 ) & 1.92710280373832 & 0.0466843716778504 & 41.2793989611012 \tabularnewline
Winsorized Mean ( 21 / 71 ) & 1.91728971962617 & 0.0456588112218892 & 41.9916696978524 \tabularnewline
Winsorized Mean ( 22 / 71 ) & 1.91728971962617 & 0.0456588112218892 & 41.9916696978524 \tabularnewline
Winsorized Mean ( 23 / 71 ) & 1.91728971962617 & 0.0456588112218892 & 41.9916696978524 \tabularnewline
Winsorized Mean ( 24 / 71 ) & 1.92850467289720 & 0.0445227623801111 & 43.3150274107584 \tabularnewline
Winsorized Mean ( 25 / 71 ) & 1.91682242990654 & 0.0433653616205986 & 44.2016936622534 \tabularnewline
Winsorized Mean ( 26 / 71 ) & 1.91682242990654 & 0.0433653616205986 & 44.2016936622534 \tabularnewline
Winsorized Mean ( 27 / 71 ) & 1.91682242990654 & 0.0433653616205986 & 44.2016936622534 \tabularnewline
Winsorized Mean ( 28 / 71 ) & 1.91682242990654 & 0.0433653616205986 & 44.2016936622534 \tabularnewline
Winsorized Mean ( 29 / 71 ) & 1.91682242990654 & 0.0433653616205986 & 44.2016936622534 \tabularnewline
Winsorized Mean ( 30 / 71 ) & 1.91682242990654 & 0.0433653616205986 & 44.2016936622534 \tabularnewline
Winsorized Mean ( 31 / 71 ) & 1.93130841121495 & 0.0419721983022131 & 46.0139923410474 \tabularnewline
Winsorized Mean ( 32 / 71 ) & 1.93130841121495 & 0.0419721983022131 & 46.0139923410474 \tabularnewline
Winsorized Mean ( 33 / 71 ) & 1.91588785046729 & 0.0405216904883711 & 47.280550919195 \tabularnewline
Winsorized Mean ( 34 / 71 ) & 1.91588785046729 & 0.0405216904883711 & 47.280550919195 \tabularnewline
Winsorized Mean ( 35 / 71 ) & 1.91588785046729 & 0.0405216904883711 & 47.280550919195 \tabularnewline
Winsorized Mean ( 36 / 71 ) & 1.91588785046729 & 0.0405216904883711 & 47.280550919195 \tabularnewline
Winsorized Mean ( 37 / 71 ) & 1.93317757009346 & 0.0389392610810386 & 49.6459746904344 \tabularnewline
Winsorized Mean ( 38 / 71 ) & 1.93317757009346 & 0.0389392610810386 & 49.6459746904344 \tabularnewline
Winsorized Mean ( 39 / 71 ) & 1.93317757009346 & 0.0389392610810386 & 49.6459746904344 \tabularnewline
Winsorized Mean ( 40 / 71 ) & 1.91448598130841 & 0.0372668460019480 & 51.3723640902784 \tabularnewline
Winsorized Mean ( 41 / 71 ) & 1.91448598130841 & 0.0372668460019480 & 51.3723640902784 \tabularnewline
Winsorized Mean ( 42 / 71 ) & 1.91448598130841 & 0.0372668460019480 & 51.3723640902784 \tabularnewline
Winsorized Mean ( 43 / 71 ) & 1.91448598130841 & 0.0372668460019480 & 51.3723640902784 \tabularnewline
Winsorized Mean ( 44 / 71 ) & 1.91448598130841 & 0.0372668460019480 & 51.3723640902784 \tabularnewline
Winsorized Mean ( 45 / 71 ) & 1.93551401869159 & 0.0354336212890984 & 54.6236582171485 \tabularnewline
Winsorized Mean ( 46 / 71 ) & 1.91401869158879 & 0.0336057744198025 & 56.9550538451789 \tabularnewline
Winsorized Mean ( 47 / 71 ) & 1.91401869158879 & 0.0336057744198025 & 56.9550538451789 \tabularnewline
Winsorized Mean ( 48 / 71 ) & 1.91401869158879 & 0.0336057744198025 & 56.9550538451789 \tabularnewline
Winsorized Mean ( 49 / 71 ) & 1.91401869158879 & 0.0336057744198025 & 56.9550538451789 \tabularnewline
Winsorized Mean ( 50 / 71 ) & 1.91401869158879 & 0.0336057744198025 & 56.9550538451789 \tabularnewline
Winsorized Mean ( 51 / 71 ) & 1.91401869158879 & 0.0336057744198025 & 56.9550538451789 \tabularnewline
Winsorized Mean ( 52 / 71 ) & 1.91401869158879 & 0.0336057744198025 & 56.9550538451789 \tabularnewline
Winsorized Mean ( 53 / 71 ) & 1.91401869158879 & 0.0336057744198025 & 56.9550538451789 \tabularnewline
Winsorized Mean ( 54 / 71 ) & 1.91401869158879 & 0.0336057744198025 & 56.9550538451789 \tabularnewline
Winsorized Mean ( 55 / 71 ) & 1.91401869158879 & 0.0336057744198025 & 56.9550538451789 \tabularnewline
Winsorized Mean ( 56 / 71 ) & 1.91401869158879 & 0.0336057744198025 & 56.9550538451789 \tabularnewline
Winsorized Mean ( 57 / 71 ) & 1.91401869158879 & 0.0336057744198025 & 56.9550538451789 \tabularnewline
Winsorized Mean ( 58 / 71 ) & 1.94112149532710 & 0.0313426917945215 & 61.9321884684582 \tabularnewline
Winsorized Mean ( 59 / 71 ) & 1.94112149532710 & 0.0313426917945215 & 61.9321884684582 \tabularnewline
Winsorized Mean ( 60 / 71 ) & 1.91308411214953 & 0.0290638171025235 & 65.8235669940074 \tabularnewline
Winsorized Mean ( 61 / 71 ) & 1.91308411214953 & 0.0290638171025235 & 65.8235669940074 \tabularnewline
Winsorized Mean ( 62 / 71 ) & 1.91308411214953 & 0.0290638171025235 & 65.8235669940074 \tabularnewline
Winsorized Mean ( 63 / 71 ) & 1.91308411214953 & 0.0290638171025235 & 65.8235669940074 \tabularnewline
Winsorized Mean ( 64 / 71 ) & 1.91308411214953 & 0.0290638171025235 & 65.8235669940074 \tabularnewline
Winsorized Mean ( 65 / 71 ) & 1.91308411214953 & 0.0290638171025235 & 65.8235669940074 \tabularnewline
Winsorized Mean ( 66 / 71 ) & 1.91308411214953 & 0.0290638171025235 & 65.8235669940074 \tabularnewline
Winsorized Mean ( 67 / 71 ) & 1.88177570093458 & 0.0266769724311829 & 70.5393277212732 \tabularnewline
Winsorized Mean ( 68 / 71 ) & 1.91355140186916 & 0.0240435946509772 & 79.5867435650429 \tabularnewline
Winsorized Mean ( 69 / 71 ) & 1.91355140186916 & 0.0240435946509772 & 79.5867435650429 \tabularnewline
Winsorized Mean ( 70 / 71 ) & 1.91355140186916 & 0.0240435946509772 & 79.5867435650429 \tabularnewline
Winsorized Mean ( 71 / 71 ) & 1.91355140186916 & 0.0240435946509772 & 79.5867435650429 \tabularnewline
Trimmed Mean ( 1 / 71 ) & 1.96168224299065 & 0.0683159235286163 & 28.7148609235875 \tabularnewline
Trimmed Mean ( 2 / 71 ) & 1.96037735849057 & 0.0649687434498229 & 30.1741615182171 \tabularnewline
Trimmed Mean ( 3 / 71 ) & 1.95336538461538 & 0.0617090690472977 & 31.6544296449879 \tabularnewline
Trimmed Mean ( 4 / 71 ) & 1.95336538461538 & 0.058381142820223 & 33.4588411643553 \tabularnewline
Trimmed Mean ( 5 / 71 ) & 1.94803921568627 & 0.0553758388087066 & 35.1785048785570 \tabularnewline
Trimmed Mean ( 6 / 71 ) & 1.94455445544554 & 0.0530436623387231 & 36.6595059562087 \tabularnewline
Trimmed Mean ( 7 / 71 ) & 1.94455445544554 & 0.0514859472460117 & 37.7686448333954 \tabularnewline
Trimmed Mean ( 8 / 71 ) & 1.9405 & 0.0503183880710774 & 38.5644309046415 \tabularnewline
Trimmed Mean ( 9 / 71 ) & 1.93316326530612 & 0.0492525074668447 & 39.2500476571161 \tabularnewline
Trimmed Mean ( 10 / 71 ) & 1.93092783505155 & 0.0484287691465012 & 39.8715034282685 \tabularnewline
Trimmed Mean ( 11 / 71 ) & 1.928125 & 0.0476223867078335 & 40.4877859614466 \tabularnewline
Trimmed Mean ( 12 / 71 ) & 1.92578947368421 & 0.0468630643444057 & 41.0939724199684 \tabularnewline
Trimmed Mean ( 13 / 71 ) & 1.92393617021277 & 0.0461519252661228 & 41.6870186697283 \tabularnewline
Trimmed Mean ( 14 / 71 ) & 1.92393617021277 & 0.0453920324204902 & 42.3848871183017 \tabularnewline
Trimmed Mean ( 15 / 71 ) & 1.92204301075269 & 0.0448635915546278 & 42.84193360695 \tabularnewline
Trimmed Mean ( 16 / 71 ) & 1.92173913043478 & 0.0444635004340256 & 43.2205991808098 \tabularnewline
Trimmed Mean ( 17 / 71 ) & 1.92111111111111 & 0.0440359094543356 & 43.6260119279077 \tabularnewline
Trimmed Mean ( 18 / 71 ) & 1.92134831460674 & 0.0436608279619246 & 44.006227190247 \tabularnewline
Trimmed Mean ( 19 / 71 ) & 1.92159090909091 & 0.0432592436430262 & 44.4203538311444 \tabularnewline
Trimmed Mean ( 20 / 71 ) & 1.92183908045977 & 0.0428290827207128 & 44.8722914051657 \tabularnewline
Trimmed Mean ( 21 / 71 ) & 1.92151162790698 & 0.0424539682302368 & 45.2610605794543 \tabularnewline
Trimmed Mean ( 22 / 71 ) & 1.92176470588235 & 0.0421364161987505 & 45.6081669788363 \tabularnewline
Trimmed Mean ( 23 / 71 ) & 1.92202380952381 & 0.0417948606391617 & 45.9870850178856 \tabularnewline
Trimmed Mean ( 24 / 71 ) & 1.92228915662651 & 0.041427402166379 & 46.4013927039472 \tabularnewline
Trimmed Mean ( 25 / 71 ) & 1.92195121951220 & 0.0411204802418736 & 46.7395129679212 \tabularnewline
Trimmed Mean ( 26 / 71 ) & 1.92222222222222 & 0.0408764496336491 & 47.0251756072247 \tabularnewline
Trimmed Mean ( 27 / 71 ) & 1.92222222222222 & 0.040611965736791 & 47.3314252917546 \tabularnewline
Trimmed Mean ( 28 / 71 ) & 1.9225 & 0.040325399152397 & 47.6746675893901 \tabularnewline
Trimmed Mean ( 29 / 71 ) & 1.92278481012658 & 0.040014949169372 & 48.051661942340 \tabularnewline
Trimmed Mean ( 30 / 71 ) & 1.92307692307692 & 0.039678619463591 & 48.4663264265415 \tabularnewline
Trimmed Mean ( 31 / 71 ) & 1.92337662337662 & 0.039314189221253 & 48.9232173287922 \tabularnewline
Trimmed Mean ( 32 / 71 ) & 1.92368421052632 & 0.0390194888111603 & 49.3006000113488 \tabularnewline
Trimmed Mean ( 33 / 71 ) & 1.92297297297297 & 0.0386989003155874 & 49.6906360979571 \tabularnewline
Trimmed Mean ( 34 / 71 ) & 1.92328767123288 & 0.038451867917308 & 50.0180556993738 \tabularnewline
Trimmed Mean ( 35 / 71 ) & 1.92361111111111 & 0.0381815952816391 & 50.380585120186 \tabularnewline
Trimmed Mean ( 36 / 71 ) & 1.92394366197183 & 0.0378860223790241 & 50.7824137019208 \tabularnewline
Trimmed Mean ( 37 / 71 ) & 1.92428571428571 & 0.0375628480348418 & 51.2284295509441 \tabularnewline
Trimmed Mean ( 38 / 71 ) & 1.92391304347826 & 0.0373193926169476 & 51.552635468257 \tabularnewline
Trimmed Mean ( 39 / 71 ) & 1.92352941176471 & 0.0370513877106221 & 51.9151786375131 \tabularnewline
Trimmed Mean ( 40 / 71 ) & 1.92313432835821 & 0.0367565331974461 & 52.3208845085486 \tabularnewline
Trimmed Mean ( 41 / 71 ) & 1.92348484848485 & 0.0365474453657564 & 52.6298029653006 \tabularnewline
Trimmed Mean ( 42 / 71 ) & 1.92384615384615 & 0.0363151225935547 & 52.9764466274334 \tabularnewline
Trimmed Mean ( 43 / 71 ) & 1.92421875 & 0.0360573228169793 & 53.3655468479177 \tabularnewline
Trimmed Mean ( 44 / 71 ) & 1.92460317460317 & 0.0357715237981276 & 53.8026611744148 \tabularnewline
Trimmed Mean ( 45 / 71 ) & 1.925 & 0.0354548763355117 & 54.2943650905337 \tabularnewline
Trimmed Mean ( 46 / 71 ) & 1.92459016393443 & 0.0352341630761431 & 54.6228431700017 \tabularnewline
Trimmed Mean ( 47 / 71 ) & 1.925 & 0.0351118660463226 & 54.8247705621904 \tabularnewline
Trimmed Mean ( 48 / 71 ) & 1.92542372881356 & 0.0349703717785409 & 55.0587148746033 \tabularnewline
Trimmed Mean ( 49 / 71 ) & 1.92586206896552 & 0.0348076894788972 & 55.3286385220458 \tabularnewline
Trimmed Mean ( 50 / 71 ) & 1.92631578947368 & 0.0346215736749603 & 55.6391747977323 \tabularnewline
Trimmed Mean ( 51 / 71 ) & 1.92678571428571 & 0.0344094820701196 & 55.9957778602802 \tabularnewline
Trimmed Mean ( 52 / 71 ) & 1.92727272727273 & 0.0341685243788833 & 56.4049154099207 \tabularnewline
Trimmed Mean ( 53 / 71 ) & 1.92777777777778 & 0.0338953996775831 & 56.8743191145411 \tabularnewline
Trimmed Mean ( 54 / 71 ) & 1.92777777777778 & 0.0335863189583206 & 57.3977094712308 \tabularnewline
Trimmed Mean ( 55 / 71 ) & 1.92830188679245 & 0.0332369083685546 & 58.0168848862253 \tabularnewline
Trimmed Mean ( 56 / 71 ) & 1.92884615384615 & 0.0328420868696795 & 58.7309253976459 \tabularnewline
Trimmed Mean ( 57 / 71 ) & 1.92941176470588 & 0.0323959094562099 & 59.5572650094575 \tabularnewline
Trimmed Mean ( 58 / 71 ) & 1.93 & 0.0318913631453416 & 60.5179525003125 \tabularnewline
Trimmed Mean ( 59 / 71 ) & 1.93061224489796 & 0.0315227497794049 & 61.2450455118388 \tabularnewline
Trimmed Mean ( 60 / 71 ) & 1.93020833333333 & 0.0311022912612182 & 62.060004426109 \tabularnewline
Trimmed Mean ( 61 / 71 ) & 1.92978723404255 & 0.0308247489326758 & 62.6051241571307 \tabularnewline
Trimmed Mean ( 62 / 71 ) & 1.93043478260870 & 0.0305032465656904 & 63.286207205892 \tabularnewline
Trimmed Mean ( 63 / 71 ) & 1.93111111111111 & 0.0301314368438246 & 64.0895793028499 \tabularnewline
Trimmed Mean ( 64 / 71 ) & 1.93181818181818 & 0.0297017486468655 & 65.0405538335889 \tabularnewline
Trimmed Mean ( 65 / 71 ) & 1.93333333333333 & 0.0292050603788236 & 66.1985734066546 \tabularnewline
Trimmed Mean ( 66 / 71 ) & 1.93414634146341 & 0.0286302531379994 & 67.5560335474758 \tabularnewline
Trimmed Mean ( 67 / 71 ) & 1.935 & 0.0279635839140203 & 69.1971388914078 \tabularnewline
Trimmed Mean ( 68 / 71 ) & 1.93717948717949 & 0.0274398184680406 & 70.5973871305212 \tabularnewline
Trimmed Mean ( 69 / 71 ) & 1.93815789473684 & 0.0271427096129677 & 71.4062052894996 \tabularnewline
Trimmed Mean ( 70 / 71 ) & 1.93918918918919 & 0.0267876291141329 & 72.3912213703934 \tabularnewline
Trimmed Mean ( 71 / 71 ) & 1.94027777777778 & 0.0263641676479212 & 73.5952601913746 \tabularnewline
Median & 1.9 &  &  \tabularnewline
Midrange & 2.1 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 1.91951219512195 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 1.91951219512195 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 1.91951219512195 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 1.91951219512195 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 1.91951219512195 &  &  \tabularnewline
Midmean - Closest Observation & 1.91951219512195 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 1.91951219512195 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 1.91951219512195 &  &  \tabularnewline
Number of observations & 214 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71213&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]1.96168224299065[/C][C]0.0722112602968043[/C][C]27.1658773843263[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]NaN[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]1.82656313752954[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]2.22685394776418[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 71 )[/C][C]1.96448598130841[/C][C]0.0713838486122725[/C][C]27.5200345666243[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 71 )[/C][C]1.96168224299065[/C][C]0.070700717296759[/C][C]27.7462848751123[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 71 )[/C][C]1.96168224299065[/C][C]0.070102408274157[/C][C]27.9830934669019[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 71 )[/C][C]1.95981308411215[/C][C]0.0681487648228943[/C][C]28.7578665468895[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 71 )[/C][C]1.96448598130841[/C][C]0.064676215782442[/C][C]30.3741639417581[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 71 )[/C][C]1.96728971962617[/C][C]0.0604436793686255[/C][C]32.5474845372721[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 71 )[/C][C]1.96401869158879[/C][C]0.0578513646695564[/C][C]33.9493925995894[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 71 )[/C][C]1.96401869158879[/C][C]0.0567796167738815[/C][C]34.5902068943204[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 71 )[/C][C]1.95140186915888[/C][C]0.0547699685065198[/C][C]35.6290485894032[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 71 )[/C][C]1.95607476635514[/C][C]0.0542452335646206[/C][C]36.0598459590912[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 71 )[/C][C]1.95093457943925[/C][C]0.0534851809789958[/C][C]36.4761704780508[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 71 )[/C][C]1.94532710280374[/C][C]0.0526908188234433[/C][C]36.9196597479753[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 71 )[/C][C]1.94532710280374[/C][C]0.0526908188234433[/C][C]36.9196597479753[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 71 )[/C][C]1.92570093457944[/C][C]0.0501563185121079[/C][C]38.3939848797828[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 71 )[/C][C]1.92570093457944[/C][C]0.0485561448054072[/C][C]39.6592633599073[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 71 )[/C][C]1.92570093457944[/C][C]0.0485561448054072[/C][C]39.6592633599073[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 71 )[/C][C]1.91775700934579[/C][C]0.0476816579665456[/C][C]40.2200152245405[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 71 )[/C][C]1.91775700934579[/C][C]0.0476816579665456[/C][C]40.2200152245405[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 71 )[/C][C]1.91775700934579[/C][C]0.0476816579665456[/C][C]40.2200152245405[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 71 )[/C][C]1.92710280373832[/C][C]0.0466843716778504[/C][C]41.2793989611012[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 71 )[/C][C]1.91728971962617[/C][C]0.0456588112218892[/C][C]41.9916696978524[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 71 )[/C][C]1.91728971962617[/C][C]0.0456588112218892[/C][C]41.9916696978524[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 71 )[/C][C]1.91728971962617[/C][C]0.0456588112218892[/C][C]41.9916696978524[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 71 )[/C][C]1.92850467289720[/C][C]0.0445227623801111[/C][C]43.3150274107584[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 71 )[/C][C]1.91682242990654[/C][C]0.0433653616205986[/C][C]44.2016936622534[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 71 )[/C][C]1.91682242990654[/C][C]0.0433653616205986[/C][C]44.2016936622534[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 71 )[/C][C]1.91682242990654[/C][C]0.0433653616205986[/C][C]44.2016936622534[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 71 )[/C][C]1.91682242990654[/C][C]0.0433653616205986[/C][C]44.2016936622534[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 71 )[/C][C]1.91682242990654[/C][C]0.0433653616205986[/C][C]44.2016936622534[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 71 )[/C][C]1.91682242990654[/C][C]0.0433653616205986[/C][C]44.2016936622534[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 71 )[/C][C]1.93130841121495[/C][C]0.0419721983022131[/C][C]46.0139923410474[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 71 )[/C][C]1.93130841121495[/C][C]0.0419721983022131[/C][C]46.0139923410474[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 71 )[/C][C]1.91588785046729[/C][C]0.0405216904883711[/C][C]47.280550919195[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 71 )[/C][C]1.91588785046729[/C][C]0.0405216904883711[/C][C]47.280550919195[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 71 )[/C][C]1.91588785046729[/C][C]0.0405216904883711[/C][C]47.280550919195[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 71 )[/C][C]1.91588785046729[/C][C]0.0405216904883711[/C][C]47.280550919195[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 71 )[/C][C]1.93317757009346[/C][C]0.0389392610810386[/C][C]49.6459746904344[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 71 )[/C][C]1.93317757009346[/C][C]0.0389392610810386[/C][C]49.6459746904344[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 71 )[/C][C]1.93317757009346[/C][C]0.0389392610810386[/C][C]49.6459746904344[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 71 )[/C][C]1.91448598130841[/C][C]0.0372668460019480[/C][C]51.3723640902784[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 71 )[/C][C]1.91448598130841[/C][C]0.0372668460019480[/C][C]51.3723640902784[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 71 )[/C][C]1.91448598130841[/C][C]0.0372668460019480[/C][C]51.3723640902784[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 71 )[/C][C]1.91448598130841[/C][C]0.0372668460019480[/C][C]51.3723640902784[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 71 )[/C][C]1.91448598130841[/C][C]0.0372668460019480[/C][C]51.3723640902784[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 71 )[/C][C]1.93551401869159[/C][C]0.0354336212890984[/C][C]54.6236582171485[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 71 )[/C][C]1.91401869158879[/C][C]0.0336057744198025[/C][C]56.9550538451789[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 71 )[/C][C]1.91401869158879[/C][C]0.0336057744198025[/C][C]56.9550538451789[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 71 )[/C][C]1.91401869158879[/C][C]0.0336057744198025[/C][C]56.9550538451789[/C][/ROW]
[ROW][C]Winsorized Mean ( 49 / 71 )[/C][C]1.91401869158879[/C][C]0.0336057744198025[/C][C]56.9550538451789[/C][/ROW]
[ROW][C]Winsorized Mean ( 50 / 71 )[/C][C]1.91401869158879[/C][C]0.0336057744198025[/C][C]56.9550538451789[/C][/ROW]
[ROW][C]Winsorized Mean ( 51 / 71 )[/C][C]1.91401869158879[/C][C]0.0336057744198025[/C][C]56.9550538451789[/C][/ROW]
[ROW][C]Winsorized Mean ( 52 / 71 )[/C][C]1.91401869158879[/C][C]0.0336057744198025[/C][C]56.9550538451789[/C][/ROW]
[ROW][C]Winsorized Mean ( 53 / 71 )[/C][C]1.91401869158879[/C][C]0.0336057744198025[/C][C]56.9550538451789[/C][/ROW]
[ROW][C]Winsorized Mean ( 54 / 71 )[/C][C]1.91401869158879[/C][C]0.0336057744198025[/C][C]56.9550538451789[/C][/ROW]
[ROW][C]Winsorized Mean ( 55 / 71 )[/C][C]1.91401869158879[/C][C]0.0336057744198025[/C][C]56.9550538451789[/C][/ROW]
[ROW][C]Winsorized Mean ( 56 / 71 )[/C][C]1.91401869158879[/C][C]0.0336057744198025[/C][C]56.9550538451789[/C][/ROW]
[ROW][C]Winsorized Mean ( 57 / 71 )[/C][C]1.91401869158879[/C][C]0.0336057744198025[/C][C]56.9550538451789[/C][/ROW]
[ROW][C]Winsorized Mean ( 58 / 71 )[/C][C]1.94112149532710[/C][C]0.0313426917945215[/C][C]61.9321884684582[/C][/ROW]
[ROW][C]Winsorized Mean ( 59 / 71 )[/C][C]1.94112149532710[/C][C]0.0313426917945215[/C][C]61.9321884684582[/C][/ROW]
[ROW][C]Winsorized Mean ( 60 / 71 )[/C][C]1.91308411214953[/C][C]0.0290638171025235[/C][C]65.8235669940074[/C][/ROW]
[ROW][C]Winsorized Mean ( 61 / 71 )[/C][C]1.91308411214953[/C][C]0.0290638171025235[/C][C]65.8235669940074[/C][/ROW]
[ROW][C]Winsorized Mean ( 62 / 71 )[/C][C]1.91308411214953[/C][C]0.0290638171025235[/C][C]65.8235669940074[/C][/ROW]
[ROW][C]Winsorized Mean ( 63 / 71 )[/C][C]1.91308411214953[/C][C]0.0290638171025235[/C][C]65.8235669940074[/C][/ROW]
[ROW][C]Winsorized Mean ( 64 / 71 )[/C][C]1.91308411214953[/C][C]0.0290638171025235[/C][C]65.8235669940074[/C][/ROW]
[ROW][C]Winsorized Mean ( 65 / 71 )[/C][C]1.91308411214953[/C][C]0.0290638171025235[/C][C]65.8235669940074[/C][/ROW]
[ROW][C]Winsorized Mean ( 66 / 71 )[/C][C]1.91308411214953[/C][C]0.0290638171025235[/C][C]65.8235669940074[/C][/ROW]
[ROW][C]Winsorized Mean ( 67 / 71 )[/C][C]1.88177570093458[/C][C]0.0266769724311829[/C][C]70.5393277212732[/C][/ROW]
[ROW][C]Winsorized Mean ( 68 / 71 )[/C][C]1.91355140186916[/C][C]0.0240435946509772[/C][C]79.5867435650429[/C][/ROW]
[ROW][C]Winsorized Mean ( 69 / 71 )[/C][C]1.91355140186916[/C][C]0.0240435946509772[/C][C]79.5867435650429[/C][/ROW]
[ROW][C]Winsorized Mean ( 70 / 71 )[/C][C]1.91355140186916[/C][C]0.0240435946509772[/C][C]79.5867435650429[/C][/ROW]
[ROW][C]Winsorized Mean ( 71 / 71 )[/C][C]1.91355140186916[/C][C]0.0240435946509772[/C][C]79.5867435650429[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 71 )[/C][C]1.96168224299065[/C][C]0.0683159235286163[/C][C]28.7148609235875[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 71 )[/C][C]1.96037735849057[/C][C]0.0649687434498229[/C][C]30.1741615182171[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 71 )[/C][C]1.95336538461538[/C][C]0.0617090690472977[/C][C]31.6544296449879[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 71 )[/C][C]1.95336538461538[/C][C]0.058381142820223[/C][C]33.4588411643553[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 71 )[/C][C]1.94803921568627[/C][C]0.0553758388087066[/C][C]35.1785048785570[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 71 )[/C][C]1.94455445544554[/C][C]0.0530436623387231[/C][C]36.6595059562087[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 71 )[/C][C]1.94455445544554[/C][C]0.0514859472460117[/C][C]37.7686448333954[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 71 )[/C][C]1.9405[/C][C]0.0503183880710774[/C][C]38.5644309046415[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 71 )[/C][C]1.93316326530612[/C][C]0.0492525074668447[/C][C]39.2500476571161[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 71 )[/C][C]1.93092783505155[/C][C]0.0484287691465012[/C][C]39.8715034282685[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 71 )[/C][C]1.928125[/C][C]0.0476223867078335[/C][C]40.4877859614466[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 71 )[/C][C]1.92578947368421[/C][C]0.0468630643444057[/C][C]41.0939724199684[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 71 )[/C][C]1.92393617021277[/C][C]0.0461519252661228[/C][C]41.6870186697283[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 71 )[/C][C]1.92393617021277[/C][C]0.0453920324204902[/C][C]42.3848871183017[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 71 )[/C][C]1.92204301075269[/C][C]0.0448635915546278[/C][C]42.84193360695[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 71 )[/C][C]1.92173913043478[/C][C]0.0444635004340256[/C][C]43.2205991808098[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 71 )[/C][C]1.92111111111111[/C][C]0.0440359094543356[/C][C]43.6260119279077[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 71 )[/C][C]1.92134831460674[/C][C]0.0436608279619246[/C][C]44.006227190247[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 71 )[/C][C]1.92159090909091[/C][C]0.0432592436430262[/C][C]44.4203538311444[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 71 )[/C][C]1.92183908045977[/C][C]0.0428290827207128[/C][C]44.8722914051657[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 71 )[/C][C]1.92151162790698[/C][C]0.0424539682302368[/C][C]45.2610605794543[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 71 )[/C][C]1.92176470588235[/C][C]0.0421364161987505[/C][C]45.6081669788363[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 71 )[/C][C]1.92202380952381[/C][C]0.0417948606391617[/C][C]45.9870850178856[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 71 )[/C][C]1.92228915662651[/C][C]0.041427402166379[/C][C]46.4013927039472[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 71 )[/C][C]1.92195121951220[/C][C]0.0411204802418736[/C][C]46.7395129679212[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 71 )[/C][C]1.92222222222222[/C][C]0.0408764496336491[/C][C]47.0251756072247[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 71 )[/C][C]1.92222222222222[/C][C]0.040611965736791[/C][C]47.3314252917546[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 71 )[/C][C]1.9225[/C][C]0.040325399152397[/C][C]47.6746675893901[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 71 )[/C][C]1.92278481012658[/C][C]0.040014949169372[/C][C]48.051661942340[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 71 )[/C][C]1.92307692307692[/C][C]0.039678619463591[/C][C]48.4663264265415[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 71 )[/C][C]1.92337662337662[/C][C]0.039314189221253[/C][C]48.9232173287922[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 71 )[/C][C]1.92368421052632[/C][C]0.0390194888111603[/C][C]49.3006000113488[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 71 )[/C][C]1.92297297297297[/C][C]0.0386989003155874[/C][C]49.6906360979571[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 71 )[/C][C]1.92328767123288[/C][C]0.038451867917308[/C][C]50.0180556993738[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 71 )[/C][C]1.92361111111111[/C][C]0.0381815952816391[/C][C]50.380585120186[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 71 )[/C][C]1.92394366197183[/C][C]0.0378860223790241[/C][C]50.7824137019208[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 71 )[/C][C]1.92428571428571[/C][C]0.0375628480348418[/C][C]51.2284295509441[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 71 )[/C][C]1.92391304347826[/C][C]0.0373193926169476[/C][C]51.552635468257[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 71 )[/C][C]1.92352941176471[/C][C]0.0370513877106221[/C][C]51.9151786375131[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 71 )[/C][C]1.92313432835821[/C][C]0.0367565331974461[/C][C]52.3208845085486[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 71 )[/C][C]1.92348484848485[/C][C]0.0365474453657564[/C][C]52.6298029653006[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 71 )[/C][C]1.92384615384615[/C][C]0.0363151225935547[/C][C]52.9764466274334[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 71 )[/C][C]1.92421875[/C][C]0.0360573228169793[/C][C]53.3655468479177[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 71 )[/C][C]1.92460317460317[/C][C]0.0357715237981276[/C][C]53.8026611744148[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 71 )[/C][C]1.925[/C][C]0.0354548763355117[/C][C]54.2943650905337[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 71 )[/C][C]1.92459016393443[/C][C]0.0352341630761431[/C][C]54.6228431700017[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 71 )[/C][C]1.925[/C][C]0.0351118660463226[/C][C]54.8247705621904[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 71 )[/C][C]1.92542372881356[/C][C]0.0349703717785409[/C][C]55.0587148746033[/C][/ROW]
[ROW][C]Trimmed Mean ( 49 / 71 )[/C][C]1.92586206896552[/C][C]0.0348076894788972[/C][C]55.3286385220458[/C][/ROW]
[ROW][C]Trimmed Mean ( 50 / 71 )[/C][C]1.92631578947368[/C][C]0.0346215736749603[/C][C]55.6391747977323[/C][/ROW]
[ROW][C]Trimmed Mean ( 51 / 71 )[/C][C]1.92678571428571[/C][C]0.0344094820701196[/C][C]55.9957778602802[/C][/ROW]
[ROW][C]Trimmed Mean ( 52 / 71 )[/C][C]1.92727272727273[/C][C]0.0341685243788833[/C][C]56.4049154099207[/C][/ROW]
[ROW][C]Trimmed Mean ( 53 / 71 )[/C][C]1.92777777777778[/C][C]0.0338953996775831[/C][C]56.8743191145411[/C][/ROW]
[ROW][C]Trimmed Mean ( 54 / 71 )[/C][C]1.92777777777778[/C][C]0.0335863189583206[/C][C]57.3977094712308[/C][/ROW]
[ROW][C]Trimmed Mean ( 55 / 71 )[/C][C]1.92830188679245[/C][C]0.0332369083685546[/C][C]58.0168848862253[/C][/ROW]
[ROW][C]Trimmed Mean ( 56 / 71 )[/C][C]1.92884615384615[/C][C]0.0328420868696795[/C][C]58.7309253976459[/C][/ROW]
[ROW][C]Trimmed Mean ( 57 / 71 )[/C][C]1.92941176470588[/C][C]0.0323959094562099[/C][C]59.5572650094575[/C][/ROW]
[ROW][C]Trimmed Mean ( 58 / 71 )[/C][C]1.93[/C][C]0.0318913631453416[/C][C]60.5179525003125[/C][/ROW]
[ROW][C]Trimmed Mean ( 59 / 71 )[/C][C]1.93061224489796[/C][C]0.0315227497794049[/C][C]61.2450455118388[/C][/ROW]
[ROW][C]Trimmed Mean ( 60 / 71 )[/C][C]1.93020833333333[/C][C]0.0311022912612182[/C][C]62.060004426109[/C][/ROW]
[ROW][C]Trimmed Mean ( 61 / 71 )[/C][C]1.92978723404255[/C][C]0.0308247489326758[/C][C]62.6051241571307[/C][/ROW]
[ROW][C]Trimmed Mean ( 62 / 71 )[/C][C]1.93043478260870[/C][C]0.0305032465656904[/C][C]63.286207205892[/C][/ROW]
[ROW][C]Trimmed Mean ( 63 / 71 )[/C][C]1.93111111111111[/C][C]0.0301314368438246[/C][C]64.0895793028499[/C][/ROW]
[ROW][C]Trimmed Mean ( 64 / 71 )[/C][C]1.93181818181818[/C][C]0.0297017486468655[/C][C]65.0405538335889[/C][/ROW]
[ROW][C]Trimmed Mean ( 65 / 71 )[/C][C]1.93333333333333[/C][C]0.0292050603788236[/C][C]66.1985734066546[/C][/ROW]
[ROW][C]Trimmed Mean ( 66 / 71 )[/C][C]1.93414634146341[/C][C]0.0286302531379994[/C][C]67.5560335474758[/C][/ROW]
[ROW][C]Trimmed Mean ( 67 / 71 )[/C][C]1.935[/C][C]0.0279635839140203[/C][C]69.1971388914078[/C][/ROW]
[ROW][C]Trimmed Mean ( 68 / 71 )[/C][C]1.93717948717949[/C][C]0.0274398184680406[/C][C]70.5973871305212[/C][/ROW]
[ROW][C]Trimmed Mean ( 69 / 71 )[/C][C]1.93815789473684[/C][C]0.0271427096129677[/C][C]71.4062052894996[/C][/ROW]
[ROW][C]Trimmed Mean ( 70 / 71 )[/C][C]1.93918918918919[/C][C]0.0267876291141329[/C][C]72.3912213703934[/C][/ROW]
[ROW][C]Trimmed Mean ( 71 / 71 )[/C][C]1.94027777777778[/C][C]0.0263641676479212[/C][C]73.5952601913746[/C][/ROW]
[ROW][C]Median[/C][C]1.9[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]2.1[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]1.91951219512195[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]1.91951219512195[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]1.91951219512195[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]1.91951219512195[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]1.91951219512195[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]1.91951219512195[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]1.91951219512195[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]1.91951219512195[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]214[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71213&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71213&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 Mean1.961682242990650.072211260296804327.1658773843263
Geometric MeanNaN
Harmonic Mean1.82656313752954
Quadratic Mean2.22685394776418
Winsorized Mean ( 1 / 71 )1.964485981308410.071383848612272527.5200345666243
Winsorized Mean ( 2 / 71 )1.961682242990650.07070071729675927.7462848751123
Winsorized Mean ( 3 / 71 )1.961682242990650.07010240827415727.9830934669019
Winsorized Mean ( 4 / 71 )1.959813084112150.068148764822894328.7578665468895
Winsorized Mean ( 5 / 71 )1.964485981308410.06467621578244230.3741639417581
Winsorized Mean ( 6 / 71 )1.967289719626170.060443679368625532.5474845372721
Winsorized Mean ( 7 / 71 )1.964018691588790.057851364669556433.9493925995894
Winsorized Mean ( 8 / 71 )1.964018691588790.056779616773881534.5902068943204
Winsorized Mean ( 9 / 71 )1.951401869158880.054769968506519835.6290485894032
Winsorized Mean ( 10 / 71 )1.956074766355140.054245233564620636.0598459590912
Winsorized Mean ( 11 / 71 )1.950934579439250.053485180978995836.4761704780508
Winsorized Mean ( 12 / 71 )1.945327102803740.052690818823443336.9196597479753
Winsorized Mean ( 13 / 71 )1.945327102803740.052690818823443336.9196597479753
Winsorized Mean ( 14 / 71 )1.925700934579440.050156318512107938.3939848797828
Winsorized Mean ( 15 / 71 )1.925700934579440.048556144805407239.6592633599073
Winsorized Mean ( 16 / 71 )1.925700934579440.048556144805407239.6592633599073
Winsorized Mean ( 17 / 71 )1.917757009345790.047681657966545640.2200152245405
Winsorized Mean ( 18 / 71 )1.917757009345790.047681657966545640.2200152245405
Winsorized Mean ( 19 / 71 )1.917757009345790.047681657966545640.2200152245405
Winsorized Mean ( 20 / 71 )1.927102803738320.046684371677850441.2793989611012
Winsorized Mean ( 21 / 71 )1.917289719626170.045658811221889241.9916696978524
Winsorized Mean ( 22 / 71 )1.917289719626170.045658811221889241.9916696978524
Winsorized Mean ( 23 / 71 )1.917289719626170.045658811221889241.9916696978524
Winsorized Mean ( 24 / 71 )1.928504672897200.044522762380111143.3150274107584
Winsorized Mean ( 25 / 71 )1.916822429906540.043365361620598644.2016936622534
Winsorized Mean ( 26 / 71 )1.916822429906540.043365361620598644.2016936622534
Winsorized Mean ( 27 / 71 )1.916822429906540.043365361620598644.2016936622534
Winsorized Mean ( 28 / 71 )1.916822429906540.043365361620598644.2016936622534
Winsorized Mean ( 29 / 71 )1.916822429906540.043365361620598644.2016936622534
Winsorized Mean ( 30 / 71 )1.916822429906540.043365361620598644.2016936622534
Winsorized Mean ( 31 / 71 )1.931308411214950.041972198302213146.0139923410474
Winsorized Mean ( 32 / 71 )1.931308411214950.041972198302213146.0139923410474
Winsorized Mean ( 33 / 71 )1.915887850467290.040521690488371147.280550919195
Winsorized Mean ( 34 / 71 )1.915887850467290.040521690488371147.280550919195
Winsorized Mean ( 35 / 71 )1.915887850467290.040521690488371147.280550919195
Winsorized Mean ( 36 / 71 )1.915887850467290.040521690488371147.280550919195
Winsorized Mean ( 37 / 71 )1.933177570093460.038939261081038649.6459746904344
Winsorized Mean ( 38 / 71 )1.933177570093460.038939261081038649.6459746904344
Winsorized Mean ( 39 / 71 )1.933177570093460.038939261081038649.6459746904344
Winsorized Mean ( 40 / 71 )1.914485981308410.037266846001948051.3723640902784
Winsorized Mean ( 41 / 71 )1.914485981308410.037266846001948051.3723640902784
Winsorized Mean ( 42 / 71 )1.914485981308410.037266846001948051.3723640902784
Winsorized Mean ( 43 / 71 )1.914485981308410.037266846001948051.3723640902784
Winsorized Mean ( 44 / 71 )1.914485981308410.037266846001948051.3723640902784
Winsorized Mean ( 45 / 71 )1.935514018691590.035433621289098454.6236582171485
Winsorized Mean ( 46 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 47 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 48 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 49 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 50 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 51 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 52 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 53 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 54 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 55 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 56 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 57 / 71 )1.914018691588790.033605774419802556.9550538451789
Winsorized Mean ( 58 / 71 )1.941121495327100.031342691794521561.9321884684582
Winsorized Mean ( 59 / 71 )1.941121495327100.031342691794521561.9321884684582
Winsorized Mean ( 60 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 61 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 62 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 63 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 64 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 65 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 66 / 71 )1.913084112149530.029063817102523565.8235669940074
Winsorized Mean ( 67 / 71 )1.881775700934580.026676972431182970.5393277212732
Winsorized Mean ( 68 / 71 )1.913551401869160.024043594650977279.5867435650429
Winsorized Mean ( 69 / 71 )1.913551401869160.024043594650977279.5867435650429
Winsorized Mean ( 70 / 71 )1.913551401869160.024043594650977279.5867435650429
Winsorized Mean ( 71 / 71 )1.913551401869160.024043594650977279.5867435650429
Trimmed Mean ( 1 / 71 )1.961682242990650.068315923528616328.7148609235875
Trimmed Mean ( 2 / 71 )1.960377358490570.064968743449822930.1741615182171
Trimmed Mean ( 3 / 71 )1.953365384615380.061709069047297731.6544296449879
Trimmed Mean ( 4 / 71 )1.953365384615380.05838114282022333.4588411643553
Trimmed Mean ( 5 / 71 )1.948039215686270.055375838808706635.1785048785570
Trimmed Mean ( 6 / 71 )1.944554455445540.053043662338723136.6595059562087
Trimmed Mean ( 7 / 71 )1.944554455445540.051485947246011737.7686448333954
Trimmed Mean ( 8 / 71 )1.94050.050318388071077438.5644309046415
Trimmed Mean ( 9 / 71 )1.933163265306120.049252507466844739.2500476571161
Trimmed Mean ( 10 / 71 )1.930927835051550.048428769146501239.8715034282685
Trimmed Mean ( 11 / 71 )1.9281250.047622386707833540.4877859614466
Trimmed Mean ( 12 / 71 )1.925789473684210.046863064344405741.0939724199684
Trimmed Mean ( 13 / 71 )1.923936170212770.046151925266122841.6870186697283
Trimmed Mean ( 14 / 71 )1.923936170212770.045392032420490242.3848871183017
Trimmed Mean ( 15 / 71 )1.922043010752690.044863591554627842.84193360695
Trimmed Mean ( 16 / 71 )1.921739130434780.044463500434025643.2205991808098
Trimmed Mean ( 17 / 71 )1.921111111111110.044035909454335643.6260119279077
Trimmed Mean ( 18 / 71 )1.921348314606740.043660827961924644.006227190247
Trimmed Mean ( 19 / 71 )1.921590909090910.043259243643026244.4203538311444
Trimmed Mean ( 20 / 71 )1.921839080459770.042829082720712844.8722914051657
Trimmed Mean ( 21 / 71 )1.921511627906980.042453968230236845.2610605794543
Trimmed Mean ( 22 / 71 )1.921764705882350.042136416198750545.6081669788363
Trimmed Mean ( 23 / 71 )1.922023809523810.041794860639161745.9870850178856
Trimmed Mean ( 24 / 71 )1.922289156626510.04142740216637946.4013927039472
Trimmed Mean ( 25 / 71 )1.921951219512200.041120480241873646.7395129679212
Trimmed Mean ( 26 / 71 )1.922222222222220.040876449633649147.0251756072247
Trimmed Mean ( 27 / 71 )1.922222222222220.04061196573679147.3314252917546
Trimmed Mean ( 28 / 71 )1.92250.04032539915239747.6746675893901
Trimmed Mean ( 29 / 71 )1.922784810126580.04001494916937248.051661942340
Trimmed Mean ( 30 / 71 )1.923076923076920.03967861946359148.4663264265415
Trimmed Mean ( 31 / 71 )1.923376623376620.03931418922125348.9232173287922
Trimmed Mean ( 32 / 71 )1.923684210526320.039019488811160349.3006000113488
Trimmed Mean ( 33 / 71 )1.922972972972970.038698900315587449.6906360979571
Trimmed Mean ( 34 / 71 )1.923287671232880.03845186791730850.0180556993738
Trimmed Mean ( 35 / 71 )1.923611111111110.038181595281639150.380585120186
Trimmed Mean ( 36 / 71 )1.923943661971830.037886022379024150.7824137019208
Trimmed Mean ( 37 / 71 )1.924285714285710.037562848034841851.2284295509441
Trimmed Mean ( 38 / 71 )1.923913043478260.037319392616947651.552635468257
Trimmed Mean ( 39 / 71 )1.923529411764710.037051387710622151.9151786375131
Trimmed Mean ( 40 / 71 )1.923134328358210.036756533197446152.3208845085486
Trimmed Mean ( 41 / 71 )1.923484848484850.036547445365756452.6298029653006
Trimmed Mean ( 42 / 71 )1.923846153846150.036315122593554752.9764466274334
Trimmed Mean ( 43 / 71 )1.924218750.036057322816979353.3655468479177
Trimmed Mean ( 44 / 71 )1.924603174603170.035771523798127653.8026611744148
Trimmed Mean ( 45 / 71 )1.9250.035454876335511754.2943650905337
Trimmed Mean ( 46 / 71 )1.924590163934430.035234163076143154.6228431700017
Trimmed Mean ( 47 / 71 )1.9250.035111866046322654.8247705621904
Trimmed Mean ( 48 / 71 )1.925423728813560.034970371778540955.0587148746033
Trimmed Mean ( 49 / 71 )1.925862068965520.034807689478897255.3286385220458
Trimmed Mean ( 50 / 71 )1.926315789473680.034621573674960355.6391747977323
Trimmed Mean ( 51 / 71 )1.926785714285710.034409482070119655.9957778602802
Trimmed Mean ( 52 / 71 )1.927272727272730.034168524378883356.4049154099207
Trimmed Mean ( 53 / 71 )1.927777777777780.033895399677583156.8743191145411
Trimmed Mean ( 54 / 71 )1.927777777777780.033586318958320657.3977094712308
Trimmed Mean ( 55 / 71 )1.928301886792450.033236908368554658.0168848862253
Trimmed Mean ( 56 / 71 )1.928846153846150.032842086869679558.7309253976459
Trimmed Mean ( 57 / 71 )1.929411764705880.032395909456209959.5572650094575
Trimmed Mean ( 58 / 71 )1.930.031891363145341660.5179525003125
Trimmed Mean ( 59 / 71 )1.930612244897960.031522749779404961.2450455118388
Trimmed Mean ( 60 / 71 )1.930208333333330.031102291261218262.060004426109
Trimmed Mean ( 61 / 71 )1.929787234042550.030824748932675862.6051241571307
Trimmed Mean ( 62 / 71 )1.930434782608700.030503246565690463.286207205892
Trimmed Mean ( 63 / 71 )1.931111111111110.030131436843824664.0895793028499
Trimmed Mean ( 64 / 71 )1.931818181818180.029701748646865565.0405538335889
Trimmed Mean ( 65 / 71 )1.933333333333330.029205060378823666.1985734066546
Trimmed Mean ( 66 / 71 )1.934146341463410.028630253137999467.5560335474758
Trimmed Mean ( 67 / 71 )1.9350.027963583914020369.1971388914078
Trimmed Mean ( 68 / 71 )1.937179487179490.027439818468040670.5973871305212
Trimmed Mean ( 69 / 71 )1.938157894736840.027142709612967771.4062052894996
Trimmed Mean ( 70 / 71 )1.939189189189190.026787629114132972.3912213703934
Trimmed Mean ( 71 / 71 )1.940277777777780.026364167647921273.5952601913746
Median1.9
Midrange2.1
Midmean - Weighted Average at Xnp1.91951219512195
Midmean - Weighted Average at X(n+1)p1.91951219512195
Midmean - Empirical Distribution Function1.91951219512195
Midmean - Empirical Distribution Function - Averaging1.91951219512195
Midmean - Empirical Distribution Function - Interpolation1.91951219512195
Midmean - Closest Observation1.91951219512195
Midmean - True Basic - Statistics Graphics Toolkit1.91951219512195
Midmean - MS Excel (old versions)1.91951219512195
Number of observations214



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')