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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationTue, 08 Dec 2009 13:50:14 -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/08/t1260305472bmg9i4mcizs4r93.htm/, Retrieved Sat, 27 Apr 2024 18:52:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64861, Retrieved Sat, 27 Apr 2024 18:52:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsschhwpaperpercentiles
Estimated Impact124

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [ARIMA Forecasting] [] [2009-12-07 09:54:52] [b98453cac15ba1066b407e146608df68]
- RMPD    [Percentiles] [Paper] [2009-12-08 20:50:14] [682632737e024f9e62885141c5f654cd] [Current]
- RMP       [Harrell-Davis Quantiles] [paper] [2009-12-14 18:24:14] [786e067c4f7cec17385c4742b96b6dfa]
- R PD        [Harrell-Davis Quantiles] [Paper] [2011-11-14 19:38:36] [fbaf17a8836493f6de0f4e0e997711e1]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
128.6
128.9
129.06
129.23
129.27
129.33
129.35
129.31
129.4
129.49
129.47
129.46
129.45
129.28
129.2
129.25
129.14
129.11
129.02
129.08
128.99
129.11
129.08
129.19
129.23
129.25
129.31
129.33
129.39
129.55
129.43
129.45
129.57
129.76
129.92
130.08
130.41
130.84
131.24
131.49
131.74
132.34
133.5
134.43
136.5
137.41
138.02
138.15
138.24
138.2
138.31
138.65
139.3
139.8
140.52
141.57
141.77
141.66
141.36
141.17

Tables (Output of Computation)





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=64861&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=64861&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64861&T=0

As an alternative you can also use a QR Code:  
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






Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.02128.66128.666128.9128.9128.9162128.6128.834128.6
0.04128.936128.9396128.99128.99129.0008128.9128.9504128.9
0.06129.008129.0098129.02129.02129.0416129.02129.0002129.02
0.08129.052129.0552129.06129.06129.0744129.06129.0248129.06
0.1129.08129.08129.08129.08129.08129.08129.08129.08
0.12129.086129.0896129.11129.11129.11129.08129.1004129.08
0.14129.11129.11129.11129.11129.1178129.11129.11129.11
0.16129.128129.1328129.14129.14129.162129.14129.1172129.14
0.18129.18129.189129.19129.19129.1962129.19129.141129.19
0.2129.2129.206129.2129.215129.224129.2129.224129.2
0.22129.23129.23129.23129.23129.23129.23129.23129.23
0.24129.238129.2428129.25129.25129.25129.23129.2372129.25
0.26129.25129.25129.25129.25129.2568129.25129.25129.25
0.28129.266129.2708129.27129.27129.2752129.27129.2792129.27
0.3129.28129.289129.28129.295129.301129.28129.301129.28
0.32129.31129.31129.31129.31129.31129.31129.31129.31
0.34129.318129.3248129.33129.33129.33129.31129.3152129.33
0.36129.33129.33129.33129.33129.3348129.33129.33129.33
0.38129.346129.3572129.35129.35129.3668129.35129.3828129.35
0.4129.39129.394129.39129.395129.396129.39129.396129.39
0.42129.406129.4186129.43129.43129.4234129.4129.4114129.43
0.44129.438129.4468129.45129.45129.4492129.43129.4332129.45
0.46129.45129.4506129.45129.45129.4514129.45129.4594129.45
0.48129.458129.4628129.46129.46129.4632129.46129.4672129.46
0.5129.47129.48129.47129.48129.48129.47129.48129.48
0.52129.502129.5332129.55129.55129.5308129.49129.5068129.55
0.54129.558129.5688129.57129.57129.5672129.55129.5512129.57
0.56129.684129.7856129.76129.76129.7664129.76129.8944129.76
0.58129.888129.9808129.92129.92129.9552129.92130.0192129.92
0.6130.08130.278130.08130.245130.212130.08130.212130.41
0.62130.496130.7626130.84130.84130.6594130.41130.4874130.84
0.64131131.25131.24131.24131.144130.84131.48131.24
0.66131.39131.555131.49131.49131.475131.49131.675131.49
0.68131.69132.028131.74131.74131.812131.74132.052131.74
0.7132.34133.152132.34132.92132.688132.34132.688133.5
0.72133.686134.3556134.43134.43133.9464133.5133.5744134.43
0.74135.258136.6274136.5136.5135.7962134.43137.2826136.5
0.76137.046137.6296137.41137.41137.2644137.41137.8004137.41
0.78137.898138.0954138.02138.02138.0226138.02138.0746138.15
0.8138.15138.19138.15138.175138.16138.15138.16138.2
0.82138.208138.2414138.24138.24138.2152138.2138.3086138.24
0.84138.268138.3916138.31138.31138.2792138.24138.5684138.31
0.86138.514138.949138.65138.65138.5616138.65139.001138.65
0.88139.17139.64139.3139.3139.248139.3139.46139.8
0.9139.8140.448139.8140.16139.872139.8139.872140.52
0.92140.65141.1928141.17141.17140.702140.52141.3372141.17
0.94141.246141.4314141.36141.36141.2574141.17141.4986141.36
0.96141.486141.6204141.57141.57141.4944141.57141.6096141.66
0.98141.642141.7458141.66141.66141.6438141.66141.6842141.77

\begin{tabular}{lllllllll}
\hline
Percentiles - Ungrouped Data \tabularnewline
p & Weighted Average at Xnp & Weighted Average at X(n+1)p & Empirical Distribution Function & Empirical Distribution Function - Averaging & Empirical Distribution Function - Interpolation & Closest Observation & True Basic - Statistics Graphics Toolkit & MS Excel (old versions) \tabularnewline
0.02 & 128.66 & 128.666 & 128.9 & 128.9 & 128.9162 & 128.6 & 128.834 & 128.6 \tabularnewline
0.04 & 128.936 & 128.9396 & 128.99 & 128.99 & 129.0008 & 128.9 & 128.9504 & 128.9 \tabularnewline
0.06 & 129.008 & 129.0098 & 129.02 & 129.02 & 129.0416 & 129.02 & 129.0002 & 129.02 \tabularnewline
0.08 & 129.052 & 129.0552 & 129.06 & 129.06 & 129.0744 & 129.06 & 129.0248 & 129.06 \tabularnewline
0.1 & 129.08 & 129.08 & 129.08 & 129.08 & 129.08 & 129.08 & 129.08 & 129.08 \tabularnewline
0.12 & 129.086 & 129.0896 & 129.11 & 129.11 & 129.11 & 129.08 & 129.1004 & 129.08 \tabularnewline
0.14 & 129.11 & 129.11 & 129.11 & 129.11 & 129.1178 & 129.11 & 129.11 & 129.11 \tabularnewline
0.16 & 129.128 & 129.1328 & 129.14 & 129.14 & 129.162 & 129.14 & 129.1172 & 129.14 \tabularnewline
0.18 & 129.18 & 129.189 & 129.19 & 129.19 & 129.1962 & 129.19 & 129.141 & 129.19 \tabularnewline
0.2 & 129.2 & 129.206 & 129.2 & 129.215 & 129.224 & 129.2 & 129.224 & 129.2 \tabularnewline
0.22 & 129.23 & 129.23 & 129.23 & 129.23 & 129.23 & 129.23 & 129.23 & 129.23 \tabularnewline
0.24 & 129.238 & 129.2428 & 129.25 & 129.25 & 129.25 & 129.23 & 129.2372 & 129.25 \tabularnewline
0.26 & 129.25 & 129.25 & 129.25 & 129.25 & 129.2568 & 129.25 & 129.25 & 129.25 \tabularnewline
0.28 & 129.266 & 129.2708 & 129.27 & 129.27 & 129.2752 & 129.27 & 129.2792 & 129.27 \tabularnewline
0.3 & 129.28 & 129.289 & 129.28 & 129.295 & 129.301 & 129.28 & 129.301 & 129.28 \tabularnewline
0.32 & 129.31 & 129.31 & 129.31 & 129.31 & 129.31 & 129.31 & 129.31 & 129.31 \tabularnewline
0.34 & 129.318 & 129.3248 & 129.33 & 129.33 & 129.33 & 129.31 & 129.3152 & 129.33 \tabularnewline
0.36 & 129.33 & 129.33 & 129.33 & 129.33 & 129.3348 & 129.33 & 129.33 & 129.33 \tabularnewline
0.38 & 129.346 & 129.3572 & 129.35 & 129.35 & 129.3668 & 129.35 & 129.3828 & 129.35 \tabularnewline
0.4 & 129.39 & 129.394 & 129.39 & 129.395 & 129.396 & 129.39 & 129.396 & 129.39 \tabularnewline
0.42 & 129.406 & 129.4186 & 129.43 & 129.43 & 129.4234 & 129.4 & 129.4114 & 129.43 \tabularnewline
0.44 & 129.438 & 129.4468 & 129.45 & 129.45 & 129.4492 & 129.43 & 129.4332 & 129.45 \tabularnewline
0.46 & 129.45 & 129.4506 & 129.45 & 129.45 & 129.4514 & 129.45 & 129.4594 & 129.45 \tabularnewline
0.48 & 129.458 & 129.4628 & 129.46 & 129.46 & 129.4632 & 129.46 & 129.4672 & 129.46 \tabularnewline
0.5 & 129.47 & 129.48 & 129.47 & 129.48 & 129.48 & 129.47 & 129.48 & 129.48 \tabularnewline
0.52 & 129.502 & 129.5332 & 129.55 & 129.55 & 129.5308 & 129.49 & 129.5068 & 129.55 \tabularnewline
0.54 & 129.558 & 129.5688 & 129.57 & 129.57 & 129.5672 & 129.55 & 129.5512 & 129.57 \tabularnewline
0.56 & 129.684 & 129.7856 & 129.76 & 129.76 & 129.7664 & 129.76 & 129.8944 & 129.76 \tabularnewline
0.58 & 129.888 & 129.9808 & 129.92 & 129.92 & 129.9552 & 129.92 & 130.0192 & 129.92 \tabularnewline
0.6 & 130.08 & 130.278 & 130.08 & 130.245 & 130.212 & 130.08 & 130.212 & 130.41 \tabularnewline
0.62 & 130.496 & 130.7626 & 130.84 & 130.84 & 130.6594 & 130.41 & 130.4874 & 130.84 \tabularnewline
0.64 & 131 & 131.25 & 131.24 & 131.24 & 131.144 & 130.84 & 131.48 & 131.24 \tabularnewline
0.66 & 131.39 & 131.555 & 131.49 & 131.49 & 131.475 & 131.49 & 131.675 & 131.49 \tabularnewline
0.68 & 131.69 & 132.028 & 131.74 & 131.74 & 131.812 & 131.74 & 132.052 & 131.74 \tabularnewline
0.7 & 132.34 & 133.152 & 132.34 & 132.92 & 132.688 & 132.34 & 132.688 & 133.5 \tabularnewline
0.72 & 133.686 & 134.3556 & 134.43 & 134.43 & 133.9464 & 133.5 & 133.5744 & 134.43 \tabularnewline
0.74 & 135.258 & 136.6274 & 136.5 & 136.5 & 135.7962 & 134.43 & 137.2826 & 136.5 \tabularnewline
0.76 & 137.046 & 137.6296 & 137.41 & 137.41 & 137.2644 & 137.41 & 137.8004 & 137.41 \tabularnewline
0.78 & 137.898 & 138.0954 & 138.02 & 138.02 & 138.0226 & 138.02 & 138.0746 & 138.15 \tabularnewline
0.8 & 138.15 & 138.19 & 138.15 & 138.175 & 138.16 & 138.15 & 138.16 & 138.2 \tabularnewline
0.82 & 138.208 & 138.2414 & 138.24 & 138.24 & 138.2152 & 138.2 & 138.3086 & 138.24 \tabularnewline
0.84 & 138.268 & 138.3916 & 138.31 & 138.31 & 138.2792 & 138.24 & 138.5684 & 138.31 \tabularnewline
0.86 & 138.514 & 138.949 & 138.65 & 138.65 & 138.5616 & 138.65 & 139.001 & 138.65 \tabularnewline
0.88 & 139.17 & 139.64 & 139.3 & 139.3 & 139.248 & 139.3 & 139.46 & 139.8 \tabularnewline
0.9 & 139.8 & 140.448 & 139.8 & 140.16 & 139.872 & 139.8 & 139.872 & 140.52 \tabularnewline
0.92 & 140.65 & 141.1928 & 141.17 & 141.17 & 140.702 & 140.52 & 141.3372 & 141.17 \tabularnewline
0.94 & 141.246 & 141.4314 & 141.36 & 141.36 & 141.2574 & 141.17 & 141.4986 & 141.36 \tabularnewline
0.96 & 141.486 & 141.6204 & 141.57 & 141.57 & 141.4944 & 141.57 & 141.6096 & 141.66 \tabularnewline
0.98 & 141.642 & 141.7458 & 141.66 & 141.66 & 141.6438 & 141.66 & 141.6842 & 141.77 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64861&T=1

[TABLE]
[ROW][C]Percentiles - Ungrouped Data[/C][/ROW]
[ROW][C]p[/C][C]Weighted Average at Xnp[/C][C]Weighted Average at X(n+1)p[/C][C]Empirical Distribution Function[/C][C]Empirical Distribution Function - Averaging[/C][C]Empirical Distribution Function - Interpolation[/C][C]Closest Observation[/C][C]True Basic - Statistics Graphics Toolkit[/C][C]MS Excel (old versions)[/C][/ROW]
[ROW][C]0.02[/C][C]128.66[/C][C]128.666[/C][C]128.9[/C][C]128.9[/C][C]128.9162[/C][C]128.6[/C][C]128.834[/C][C]128.6[/C][/ROW]
[ROW][C]0.04[/C][C]128.936[/C][C]128.9396[/C][C]128.99[/C][C]128.99[/C][C]129.0008[/C][C]128.9[/C][C]128.9504[/C][C]128.9[/C][/ROW]
[ROW][C]0.06[/C][C]129.008[/C][C]129.0098[/C][C]129.02[/C][C]129.02[/C][C]129.0416[/C][C]129.02[/C][C]129.0002[/C][C]129.02[/C][/ROW]
[ROW][C]0.08[/C][C]129.052[/C][C]129.0552[/C][C]129.06[/C][C]129.06[/C][C]129.0744[/C][C]129.06[/C][C]129.0248[/C][C]129.06[/C][/ROW]
[ROW][C]0.1[/C][C]129.08[/C][C]129.08[/C][C]129.08[/C][C]129.08[/C][C]129.08[/C][C]129.08[/C][C]129.08[/C][C]129.08[/C][/ROW]
[ROW][C]0.12[/C][C]129.086[/C][C]129.0896[/C][C]129.11[/C][C]129.11[/C][C]129.11[/C][C]129.08[/C][C]129.1004[/C][C]129.08[/C][/ROW]
[ROW][C]0.14[/C][C]129.11[/C][C]129.11[/C][C]129.11[/C][C]129.11[/C][C]129.1178[/C][C]129.11[/C][C]129.11[/C][C]129.11[/C][/ROW]
[ROW][C]0.16[/C][C]129.128[/C][C]129.1328[/C][C]129.14[/C][C]129.14[/C][C]129.162[/C][C]129.14[/C][C]129.1172[/C][C]129.14[/C][/ROW]
[ROW][C]0.18[/C][C]129.18[/C][C]129.189[/C][C]129.19[/C][C]129.19[/C][C]129.1962[/C][C]129.19[/C][C]129.141[/C][C]129.19[/C][/ROW]
[ROW][C]0.2[/C][C]129.2[/C][C]129.206[/C][C]129.2[/C][C]129.215[/C][C]129.224[/C][C]129.2[/C][C]129.224[/C][C]129.2[/C][/ROW]
[ROW][C]0.22[/C][C]129.23[/C][C]129.23[/C][C]129.23[/C][C]129.23[/C][C]129.23[/C][C]129.23[/C][C]129.23[/C][C]129.23[/C][/ROW]
[ROW][C]0.24[/C][C]129.238[/C][C]129.2428[/C][C]129.25[/C][C]129.25[/C][C]129.25[/C][C]129.23[/C][C]129.2372[/C][C]129.25[/C][/ROW]
[ROW][C]0.26[/C][C]129.25[/C][C]129.25[/C][C]129.25[/C][C]129.25[/C][C]129.2568[/C][C]129.25[/C][C]129.25[/C][C]129.25[/C][/ROW]
[ROW][C]0.28[/C][C]129.266[/C][C]129.2708[/C][C]129.27[/C][C]129.27[/C][C]129.2752[/C][C]129.27[/C][C]129.2792[/C][C]129.27[/C][/ROW]
[ROW][C]0.3[/C][C]129.28[/C][C]129.289[/C][C]129.28[/C][C]129.295[/C][C]129.301[/C][C]129.28[/C][C]129.301[/C][C]129.28[/C][/ROW]
[ROW][C]0.32[/C][C]129.31[/C][C]129.31[/C][C]129.31[/C][C]129.31[/C][C]129.31[/C][C]129.31[/C][C]129.31[/C][C]129.31[/C][/ROW]
[ROW][C]0.34[/C][C]129.318[/C][C]129.3248[/C][C]129.33[/C][C]129.33[/C][C]129.33[/C][C]129.31[/C][C]129.3152[/C][C]129.33[/C][/ROW]
[ROW][C]0.36[/C][C]129.33[/C][C]129.33[/C][C]129.33[/C][C]129.33[/C][C]129.3348[/C][C]129.33[/C][C]129.33[/C][C]129.33[/C][/ROW]
[ROW][C]0.38[/C][C]129.346[/C][C]129.3572[/C][C]129.35[/C][C]129.35[/C][C]129.3668[/C][C]129.35[/C][C]129.3828[/C][C]129.35[/C][/ROW]
[ROW][C]0.4[/C][C]129.39[/C][C]129.394[/C][C]129.39[/C][C]129.395[/C][C]129.396[/C][C]129.39[/C][C]129.396[/C][C]129.39[/C][/ROW]
[ROW][C]0.42[/C][C]129.406[/C][C]129.4186[/C][C]129.43[/C][C]129.43[/C][C]129.4234[/C][C]129.4[/C][C]129.4114[/C][C]129.43[/C][/ROW]
[ROW][C]0.44[/C][C]129.438[/C][C]129.4468[/C][C]129.45[/C][C]129.45[/C][C]129.4492[/C][C]129.43[/C][C]129.4332[/C][C]129.45[/C][/ROW]
[ROW][C]0.46[/C][C]129.45[/C][C]129.4506[/C][C]129.45[/C][C]129.45[/C][C]129.4514[/C][C]129.45[/C][C]129.4594[/C][C]129.45[/C][/ROW]
[ROW][C]0.48[/C][C]129.458[/C][C]129.4628[/C][C]129.46[/C][C]129.46[/C][C]129.4632[/C][C]129.46[/C][C]129.4672[/C][C]129.46[/C][/ROW]
[ROW][C]0.5[/C][C]129.47[/C][C]129.48[/C][C]129.47[/C][C]129.48[/C][C]129.48[/C][C]129.47[/C][C]129.48[/C][C]129.48[/C][/ROW]
[ROW][C]0.52[/C][C]129.502[/C][C]129.5332[/C][C]129.55[/C][C]129.55[/C][C]129.5308[/C][C]129.49[/C][C]129.5068[/C][C]129.55[/C][/ROW]
[ROW][C]0.54[/C][C]129.558[/C][C]129.5688[/C][C]129.57[/C][C]129.57[/C][C]129.5672[/C][C]129.55[/C][C]129.5512[/C][C]129.57[/C][/ROW]
[ROW][C]0.56[/C][C]129.684[/C][C]129.7856[/C][C]129.76[/C][C]129.76[/C][C]129.7664[/C][C]129.76[/C][C]129.8944[/C][C]129.76[/C][/ROW]
[ROW][C]0.58[/C][C]129.888[/C][C]129.9808[/C][C]129.92[/C][C]129.92[/C][C]129.9552[/C][C]129.92[/C][C]130.0192[/C][C]129.92[/C][/ROW]
[ROW][C]0.6[/C][C]130.08[/C][C]130.278[/C][C]130.08[/C][C]130.245[/C][C]130.212[/C][C]130.08[/C][C]130.212[/C][C]130.41[/C][/ROW]
[ROW][C]0.62[/C][C]130.496[/C][C]130.7626[/C][C]130.84[/C][C]130.84[/C][C]130.6594[/C][C]130.41[/C][C]130.4874[/C][C]130.84[/C][/ROW]
[ROW][C]0.64[/C][C]131[/C][C]131.25[/C][C]131.24[/C][C]131.24[/C][C]131.144[/C][C]130.84[/C][C]131.48[/C][C]131.24[/C][/ROW]
[ROW][C]0.66[/C][C]131.39[/C][C]131.555[/C][C]131.49[/C][C]131.49[/C][C]131.475[/C][C]131.49[/C][C]131.675[/C][C]131.49[/C][/ROW]
[ROW][C]0.68[/C][C]131.69[/C][C]132.028[/C][C]131.74[/C][C]131.74[/C][C]131.812[/C][C]131.74[/C][C]132.052[/C][C]131.74[/C][/ROW]
[ROW][C]0.7[/C][C]132.34[/C][C]133.152[/C][C]132.34[/C][C]132.92[/C][C]132.688[/C][C]132.34[/C][C]132.688[/C][C]133.5[/C][/ROW]
[ROW][C]0.72[/C][C]133.686[/C][C]134.3556[/C][C]134.43[/C][C]134.43[/C][C]133.9464[/C][C]133.5[/C][C]133.5744[/C][C]134.43[/C][/ROW]
[ROW][C]0.74[/C][C]135.258[/C][C]136.6274[/C][C]136.5[/C][C]136.5[/C][C]135.7962[/C][C]134.43[/C][C]137.2826[/C][C]136.5[/C][/ROW]
[ROW][C]0.76[/C][C]137.046[/C][C]137.6296[/C][C]137.41[/C][C]137.41[/C][C]137.2644[/C][C]137.41[/C][C]137.8004[/C][C]137.41[/C][/ROW]
[ROW][C]0.78[/C][C]137.898[/C][C]138.0954[/C][C]138.02[/C][C]138.02[/C][C]138.0226[/C][C]138.02[/C][C]138.0746[/C][C]138.15[/C][/ROW]
[ROW][C]0.8[/C][C]138.15[/C][C]138.19[/C][C]138.15[/C][C]138.175[/C][C]138.16[/C][C]138.15[/C][C]138.16[/C][C]138.2[/C][/ROW]
[ROW][C]0.82[/C][C]138.208[/C][C]138.2414[/C][C]138.24[/C][C]138.24[/C][C]138.2152[/C][C]138.2[/C][C]138.3086[/C][C]138.24[/C][/ROW]
[ROW][C]0.84[/C][C]138.268[/C][C]138.3916[/C][C]138.31[/C][C]138.31[/C][C]138.2792[/C][C]138.24[/C][C]138.5684[/C][C]138.31[/C][/ROW]
[ROW][C]0.86[/C][C]138.514[/C][C]138.949[/C][C]138.65[/C][C]138.65[/C][C]138.5616[/C][C]138.65[/C][C]139.001[/C][C]138.65[/C][/ROW]
[ROW][C]0.88[/C][C]139.17[/C][C]139.64[/C][C]139.3[/C][C]139.3[/C][C]139.248[/C][C]139.3[/C][C]139.46[/C][C]139.8[/C][/ROW]
[ROW][C]0.9[/C][C]139.8[/C][C]140.448[/C][C]139.8[/C][C]140.16[/C][C]139.872[/C][C]139.8[/C][C]139.872[/C][C]140.52[/C][/ROW]
[ROW][C]0.92[/C][C]140.65[/C][C]141.1928[/C][C]141.17[/C][C]141.17[/C][C]140.702[/C][C]140.52[/C][C]141.3372[/C][C]141.17[/C][/ROW]
[ROW][C]0.94[/C][C]141.246[/C][C]141.4314[/C][C]141.36[/C][C]141.36[/C][C]141.2574[/C][C]141.17[/C][C]141.4986[/C][C]141.36[/C][/ROW]
[ROW][C]0.96[/C][C]141.486[/C][C]141.6204[/C][C]141.57[/C][C]141.57[/C][C]141.4944[/C][C]141.57[/C][C]141.6096[/C][C]141.66[/C][/ROW]
[ROW][C]0.98[/C][C]141.642[/C][C]141.7458[/C][C]141.66[/C][C]141.66[/C][C]141.6438[/C][C]141.66[/C][C]141.6842[/C][C]141.77[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64861&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64861&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.02128.66128.666128.9128.9128.9162128.6128.834128.6
0.04128.936128.9396128.99128.99129.0008128.9128.9504128.9
0.06129.008129.0098129.02129.02129.0416129.02129.0002129.02
0.08129.052129.0552129.06129.06129.0744129.06129.0248129.06
0.1129.08129.08129.08129.08129.08129.08129.08129.08
0.12129.086129.0896129.11129.11129.11129.08129.1004129.08
0.14129.11129.11129.11129.11129.1178129.11129.11129.11
0.16129.128129.1328129.14129.14129.162129.14129.1172129.14
0.18129.18129.189129.19129.19129.1962129.19129.141129.19
0.2129.2129.206129.2129.215129.224129.2129.224129.2
0.22129.23129.23129.23129.23129.23129.23129.23129.23
0.24129.238129.2428129.25129.25129.25129.23129.2372129.25
0.26129.25129.25129.25129.25129.2568129.25129.25129.25
0.28129.266129.2708129.27129.27129.2752129.27129.2792129.27
0.3129.28129.289129.28129.295129.301129.28129.301129.28
0.32129.31129.31129.31129.31129.31129.31129.31129.31
0.34129.318129.3248129.33129.33129.33129.31129.3152129.33
0.36129.33129.33129.33129.33129.3348129.33129.33129.33
0.38129.346129.3572129.35129.35129.3668129.35129.3828129.35
0.4129.39129.394129.39129.395129.396129.39129.396129.39
0.42129.406129.4186129.43129.43129.4234129.4129.4114129.43
0.44129.438129.4468129.45129.45129.4492129.43129.4332129.45
0.46129.45129.4506129.45129.45129.4514129.45129.4594129.45
0.48129.458129.4628129.46129.46129.4632129.46129.4672129.46
0.5129.47129.48129.47129.48129.48129.47129.48129.48
0.52129.502129.5332129.55129.55129.5308129.49129.5068129.55
0.54129.558129.5688129.57129.57129.5672129.55129.5512129.57
0.56129.684129.7856129.76129.76129.7664129.76129.8944129.76
0.58129.888129.9808129.92129.92129.9552129.92130.0192129.92
0.6130.08130.278130.08130.245130.212130.08130.212130.41
0.62130.496130.7626130.84130.84130.6594130.41130.4874130.84
0.64131131.25131.24131.24131.144130.84131.48131.24
0.66131.39131.555131.49131.49131.475131.49131.675131.49
0.68131.69132.028131.74131.74131.812131.74132.052131.74
0.7132.34133.152132.34132.92132.688132.34132.688133.5
0.72133.686134.3556134.43134.43133.9464133.5133.5744134.43
0.74135.258136.6274136.5136.5135.7962134.43137.2826136.5
0.76137.046137.6296137.41137.41137.2644137.41137.8004137.41
0.78137.898138.0954138.02138.02138.0226138.02138.0746138.15
0.8138.15138.19138.15138.175138.16138.15138.16138.2
0.82138.208138.2414138.24138.24138.2152138.2138.3086138.24
0.84138.268138.3916138.31138.31138.2792138.24138.5684138.31
0.86138.514138.949138.65138.65138.5616138.65139.001138.65
0.88139.17139.64139.3139.3139.248139.3139.46139.8
0.9139.8140.448139.8140.16139.872139.8139.872140.52
0.92140.65141.1928141.17141.17140.702140.52141.3372141.17
0.94141.246141.4314141.36141.36141.2574141.17141.4986141.36
0.96141.486141.6204141.57141.57141.4944141.57141.6096141.66
0.98141.642141.7458141.66141.66141.6438141.66141.6842141.77


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
x <-sort(x[!is.na(x)])
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]
}
}
}
}
lx <- length(x)
qval <- array(NA,dim=c(99,8))
mystep <- 25
mystart <- 25
if (lx>10){
mystep=10
mystart=10
}
if (lx>20){
mystep=5
mystart=5
}
if (lx>50){
mystep=2
mystart=2
}
if (lx>=100){
mystep=1
mystart=1
}
for (perc in seq(mystart,99,mystep)) {
qval[perc,1] <- q1(x,lx,perc/100,i,f)
qval[perc,2] <- q2(x,lx,perc/100,i,f)
qval[perc,3] <- q3(x,lx,perc/100,i,f)
qval[perc,4] <- q4(x,lx,perc/100,i,f)
qval[perc,5] <- q5(x,lx,perc/100,i,f)
qval[perc,6] <- q6(x,lx,perc/100,i,f)
qval[perc,7] <- q7(x,lx,perc/100,i,f)
qval[perc,8] <- q8(x,lx,perc/100,i,f)
}
bitmap(file='test1.png')
myqqnorm <- qqnorm(x,col=2)
qqline(x)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Percentiles - Ungrouped Data',9,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p',1,TRUE)
a<-table.element(a,hyperlink('method_1.htm', 'Weighted Average at Xnp',''),1,TRUE)
a<-table.element(a,hyperlink('method_2.htm','Weighted Average at X(n+1)p',''),1,TRUE)
a<-table.element(a,hyperlink('method_3.htm','Empirical Distribution Function',''),1,TRUE)
a<-table.element(a,hyperlink('method_4.htm','Empirical Distribution Function - Averaging',''),1,TRUE)
a<-table.element(a,hyperlink('method_5.htm','Empirical Distribution Function - Interpolation',''),1,TRUE)
a<-table.element(a,hyperlink('method_6.htm','Closest Observation',''),1,TRUE)
a<-table.element(a,hyperlink('method_7.htm','True Basic - Statistics Graphics Toolkit',''),1,TRUE)
a<-table.element(a,hyperlink('method_8.htm','MS Excel (old versions)',''),1,TRUE)
a<-table.row.end(a)
for (perc in seq(mystart,99,mystep)) {
a<-table.row.start(a)
a<-table.element(a,round(perc/100,2),1,TRUE)
for (j in 1:8) {
a<-table.element(a,round(qval[perc,j],6))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')