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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationFri, 21 Dec 2012 06:56:09 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/21/t1356090978wmag7g9yxm10azn.htm/, Retrieved Fri, 19 Apr 2024 10:48:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=203519, Retrieved Fri, 19 Apr 2024 10:48:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact80

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Percentiles] [Percentiles of ti...] [2010-09-25 09:52:29] [b98453cac15ba1066b407e146608df68]
F    D  [Percentiles] [Percentiles] [2010-10-03 19:57:07] [afe9379cca749d06b3d6872e02cc47ed]
- R       [Percentiles] [Paper statistiek 4] [2011-12-22 13:26:23] [f0855b2dc4da686ca3c0ae4fedd71fda]
-             [Percentiles] [] [2012-12-21 11:56:09] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
426.113
383.703
232.444
70.939
226.731
947.293
611.281
158.047
33.999
37.028
388.3
506.652
392.25
180.818
198.296
217.465
275.562
1030.944
57.47
136.452
556.277
213.361
274.482
220.553
236.71
260.642
2763.544
213.923
169.861
403.064
449.594
406.167
206.893
156.187
257.102
62.156
662.883
251.422
171.328
350.089
221.588
4.813
183.186
190.379
223.166
232.669
356.725
109.215
475.834
315.955
694.87
8.95
278.741
308.16
207.533
192.797
601.162
289.714
293.671
386.688
699.645
85.094
131.812
645.285
197.549
308.174
86.58
242.205
238.502
187.881
140.321
440.31
421.403
218.761
1305.923
137.55
262.517
348.821
150.034
64.016
261.596
259.7
171.26
203.077
249.148
211.655
252.64
438.555
239.89
401.915
216.886
184.641
380.155
653.641
313.906
366.936
236.302
229.641
235.577
103.898
263.906
241.171
216.548
295.281
193.299
204.386
257.567
136.813
240.755
59.609
213.511
380.531
242.344
250.407
183.613
191.835
266.793
246.542
330.563
403.556
208.108
324.04
308.532
199.297
200.156
262.875
287.069
190.157
199.746
265.777
435.956
72.844
756.46
206.771
4202.361
401.422
216.046
39.047
441.437

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'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203519&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=203519&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203519&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'Herman Ole Andreas Wold' @ wold.wessa.net






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)
0.016.426436.46788.958.9518.468624.8137.29524.813
0.0228.4882228.989233.99933.99936.3010433.99913.959833.999
0.0337.3712337.431839.04739.04741.6262237.02838.643237.028
0.0449.3638850.100857.4757.4758.5822857.4746.416257.47
0.0559.5020559.60959.60959.60961.901359.60959.60959.609
0.0662.788462.964.01664.01665.9544462.15663.27262.156
0.0769.0697969.554470.93970.93972.196370.93965.400670.939
0.0874.31475.29485.09485.09485.1534472.84482.64472.844
0.0985.8518685.985686.5886.5893.8535686.5885.688486.58
0.1102.1662103.898103.898103.898108.1516103.898103.898103.898
0.11115.76813118.2538131.812131.812132.6472109.215122.7732109.215
0.12134.9672135.524136.452136.452136.65416136.452132.74136.452
0.13136.86459136.9604137.55137.55137.50578136.813137.4026136.813
0.14138.82466139.2126140.321140.321143.42916137.55138.6584140.321
0.15148.57705150.034150.034150.034154.3411150.034150.034150.034
0.16156.6334156.931158.047158.047158.99212156.187157.303156.187
0.17165.48982167.4982169.861169.861170.50454169.861160.4098169.861
0.18171.26136171.2736171.328171.328171.31712171.26171.3144171.26
0.19175.2189177.022180.818180.818181.33896171.328175.124180.818
0.2182.7124183.186183.186183.186183.4422183.186183.186183.186
0.21183.80832184.0242184.641184.641184.62044183.613184.2298183.613
0.22186.5202187.233187.881187.881188.70036187.881185.289187.881
0.23190.08872190.2014190.157190.157190.32128190.157190.3346190.157
0.24190.90316191.2526191.835191.835191.95044190.379190.9614191.835
0.25192.5565192.797192.797192.797193.048192.797192.797192.797
0.26193.894194.999197.549197.549197.039193.299195.849193.299
0.27197.94491198.1466198.296198.296198.55626198.296197.6984198.296
0.28199.21692199.3868199.297199.297199.58436199.297199.6562199.297
0.29199.8731199.992200.156200.156200.21442199.746199.91200.156
0.3202.2007203.077203.077203.077203.6006203.077203.077203.077
0.31204.60065205.34206.771206.771206.2463204.386205.817204.386
0.32206.82956206.8686206.893206.893206.9954206.771206.7954206.893
0.33207.4498207.648207.533207.533207.8435207.533207.993207.533
0.34209.03022210.2362211.655211.655211.37124208.108209.5268211.655
0.35212.7639213.361213.361213.361213.406213.361213.361213.361
0.36213.52748213.6758213.923213.923213.79116213.511213.7582213.511
0.37214.83589215.6214216.046216.046216.07612213.923214.3476216.046
0.38216.45764216.6156216.548216.548216.69672216.548216.8184216.548
0.39217.00759217.2334217.465217.465217.36078216.886217.1176217.465
0.4218.2426218.761218.761218.761219.1194218.761218.761218.761
0.41220.53508220.967220.553220.553221.1533220.553221.174220.553
0.42222.18764222.8504223.166223.166223.10288221.588221.9036223.166
0.43225.91105227.313226.731226.731227.7204226.731229.059226.731
0.44230.08948231.3228232.444232.444231.65916229.641230.7622232.444
0.45232.56775232.669232.669232.669232.9598232.669232.669232.669
0.46235.40252235.867235.577235.577235.925235.577236.012235.577
0.47236.43664236.6284236.71236.71236.65288236.302236.3836236.71
0.48238.00024238.7796238.502238.502238.83512238.502239.6124238.502
0.49239.98515240.409240.755240.755240.4263239.89240.236240.755
0.5240.963241.171241.171241.171241.171241.171241.171241.171
0.51242.09126242.2606242.205242.205242.25782242.205242.2884242.205
0.52243.51944245.7024246.542246.542245.53448242.344243.1836246.542
0.53248.28802249.3998249.148249.148249.32426249.148250.1552249.148
0.54250.4679251.016251.422251.422250.9348250.407250.813251.422
0.55251.9701252.64252.64252.64252.5182251.422252.64252.64
0.56256.38808257.288257.102257.102257.2322257.102257.381257.102
0.57258.05759259.2734259.7259.7258.97478257.567257.9936259.7
0.58260.28404260.8328260.642260.642260.68016260.642261.4052260.642
0.59261.60521262.1486262.517262.517261.98282261.596261.9644262.517
0.6262.6602262.875262.875262.875262.8034262.517262.875262.875
0.61263.68949264.6544263.906263.906264.24278263.906265.0286263.906
0.62265.95988266.5898266.793266.793266.34596265.777265.9802266.793
0.63271.17573274.698274.482274.482274.02066274.482275.346274.482
0.64275.5188277.4694275.562275.562276.57928275.562276.8336278.741
0.65281.6558287.069287.069287.069284.5706278.741287.069287.069
0.66289.0263291.2968289.714289.714290.03056289.714292.0882289.714
0.67293.8803294.959295.281295.281294.4116293.671293.993295.281
0.68301.97808308.1628308.16308.16306.09936308.16308.1712308.16
0.69308.17274308.3888308.174308.174308.25276308.174308.3172308.532
0.7310.1442313.906313.906313.906311.7564308.532313.906313.906
0.71315.31981319.189315.955315.955315.91402315.955320.806315.955
0.72324.56184329.2584330.563330.563326.38828324.04325.3446330.563
0.73339.14426349.0746348.821348.821344.07392330.563349.8354348.821
0.74349.91148354.0706350.089350.089350.88532350.089352.7434356.725
0.75359.27775366.936366.936366.936361.8305356.725366.936366.936
0.76375.39616380.3054380.155380.155378.56872380.155380.3806380.155
0.77380.62616383.0686383.703383.703381.35572380.531381.1654383.703
0.78384.9567387.0104386.688386.688385.6134383.703387.9776386.688
0.79387.99372390.67388.3388.3388.379388.3389.88392.25
0.8394.0844401.422401.422401.422395.9188392.25401.422401.422
0.81401.71287402.3746401.915401.915401.80654401.915402.6044401.915
0.82403.04102403.4576403.064403.064403.14272403.064403.1624403.556
0.83404.52207409.2142406.167406.167404.96594403.556418.3558406.167
0.84417.74636424.229421.403421.403420.18412421.403423.287426.113
0.85427.58945435.956435.956435.956429.0659426.113435.956435.956
0.86437.35946439.257438.555438.555437.72332438.555439.608438.555
0.87440.18715441.2116440.31440.31440.37762440.31440.5354441.437
0.88444.04724454.842449.594449.594445.02608441.437470.586449.594
0.89468.2244494.3248475.834475.834471.1108475.834488.1612506.652
0.9511.6145556.277556.277556.277516.577506.652556.277556.277
0.91578.27065605.2096601.162601.162582.3103556.277607.2334601.162
0.92610.06672638.4842611.281611.281610.87624611.281618.0818645.285
0.93647.54112655.4894653.641653.641648.12604645.285661.0346653.641
0.94659.74072682.0752662.883662.883660.29524662.883675.6778694.87
0.95695.10875699.645699.645699.645695.3475694.87699.645699.645
0.96724.6436832.7932756.46756.46726.9162699.645870.9598756.46
0.97914.851391014.2138947.293947.293920.57638947.293964.02321030.944
0.981091.439381597.44721305.9231305.9231096.938961030.9442472.01981305.923
0.992195.071813626.83422763.5442763.5442209.648022763.5443339.07084202.361

\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
0.01 & 6.42643 & 6.4678 & 8.95 & 8.95 & 18.46862 & 4.813 & 7.2952 & 4.813 \tabularnewline
0.02 & 28.48822 & 28.9892 & 33.999 & 33.999 & 36.30104 & 33.999 & 13.9598 & 33.999 \tabularnewline
0.03 & 37.37123 & 37.4318 & 39.047 & 39.047 & 41.62622 & 37.028 & 38.6432 & 37.028 \tabularnewline
0.04 & 49.36388 & 50.1008 & 57.47 & 57.47 & 58.58228 & 57.47 & 46.4162 & 57.47 \tabularnewline
0.05 & 59.50205 & 59.609 & 59.609 & 59.609 & 61.9013 & 59.609 & 59.609 & 59.609 \tabularnewline
0.06 & 62.7884 & 62.9 & 64.016 & 64.016 & 65.95444 & 62.156 & 63.272 & 62.156 \tabularnewline
0.07 & 69.06979 & 69.5544 & 70.939 & 70.939 & 72.1963 & 70.939 & 65.4006 & 70.939 \tabularnewline
0.08 & 74.314 & 75.294 & 85.094 & 85.094 & 85.15344 & 72.844 & 82.644 & 72.844 \tabularnewline
0.09 & 85.85186 & 85.9856 & 86.58 & 86.58 & 93.85356 & 86.58 & 85.6884 & 86.58 \tabularnewline
0.1 & 102.1662 & 103.898 & 103.898 & 103.898 & 108.1516 & 103.898 & 103.898 & 103.898 \tabularnewline
0.11 & 115.76813 & 118.2538 & 131.812 & 131.812 & 132.6472 & 109.215 & 122.7732 & 109.215 \tabularnewline
0.12 & 134.9672 & 135.524 & 136.452 & 136.452 & 136.65416 & 136.452 & 132.74 & 136.452 \tabularnewline
0.13 & 136.86459 & 136.9604 & 137.55 & 137.55 & 137.50578 & 136.813 & 137.4026 & 136.813 \tabularnewline
0.14 & 138.82466 & 139.2126 & 140.321 & 140.321 & 143.42916 & 137.55 & 138.6584 & 140.321 \tabularnewline
0.15 & 148.57705 & 150.034 & 150.034 & 150.034 & 154.3411 & 150.034 & 150.034 & 150.034 \tabularnewline
0.16 & 156.6334 & 156.931 & 158.047 & 158.047 & 158.99212 & 156.187 & 157.303 & 156.187 \tabularnewline
0.17 & 165.48982 & 167.4982 & 169.861 & 169.861 & 170.50454 & 169.861 & 160.4098 & 169.861 \tabularnewline
0.18 & 171.26136 & 171.2736 & 171.328 & 171.328 & 171.31712 & 171.26 & 171.3144 & 171.26 \tabularnewline
0.19 & 175.2189 & 177.022 & 180.818 & 180.818 & 181.33896 & 171.328 & 175.124 & 180.818 \tabularnewline
0.2 & 182.7124 & 183.186 & 183.186 & 183.186 & 183.4422 & 183.186 & 183.186 & 183.186 \tabularnewline
0.21 & 183.80832 & 184.0242 & 184.641 & 184.641 & 184.62044 & 183.613 & 184.2298 & 183.613 \tabularnewline
0.22 & 186.5202 & 187.233 & 187.881 & 187.881 & 188.70036 & 187.881 & 185.289 & 187.881 \tabularnewline
0.23 & 190.08872 & 190.2014 & 190.157 & 190.157 & 190.32128 & 190.157 & 190.3346 & 190.157 \tabularnewline
0.24 & 190.90316 & 191.2526 & 191.835 & 191.835 & 191.95044 & 190.379 & 190.9614 & 191.835 \tabularnewline
0.25 & 192.5565 & 192.797 & 192.797 & 192.797 & 193.048 & 192.797 & 192.797 & 192.797 \tabularnewline
0.26 & 193.894 & 194.999 & 197.549 & 197.549 & 197.039 & 193.299 & 195.849 & 193.299 \tabularnewline
0.27 & 197.94491 & 198.1466 & 198.296 & 198.296 & 198.55626 & 198.296 & 197.6984 & 198.296 \tabularnewline
0.28 & 199.21692 & 199.3868 & 199.297 & 199.297 & 199.58436 & 199.297 & 199.6562 & 199.297 \tabularnewline
0.29 & 199.8731 & 199.992 & 200.156 & 200.156 & 200.21442 & 199.746 & 199.91 & 200.156 \tabularnewline
0.3 & 202.2007 & 203.077 & 203.077 & 203.077 & 203.6006 & 203.077 & 203.077 & 203.077 \tabularnewline
0.31 & 204.60065 & 205.34 & 206.771 & 206.771 & 206.2463 & 204.386 & 205.817 & 204.386 \tabularnewline
0.32 & 206.82956 & 206.8686 & 206.893 & 206.893 & 206.9954 & 206.771 & 206.7954 & 206.893 \tabularnewline
0.33 & 207.4498 & 207.648 & 207.533 & 207.533 & 207.8435 & 207.533 & 207.993 & 207.533 \tabularnewline
0.34 & 209.03022 & 210.2362 & 211.655 & 211.655 & 211.37124 & 208.108 & 209.5268 & 211.655 \tabularnewline
0.35 & 212.7639 & 213.361 & 213.361 & 213.361 & 213.406 & 213.361 & 213.361 & 213.361 \tabularnewline
0.36 & 213.52748 & 213.6758 & 213.923 & 213.923 & 213.79116 & 213.511 & 213.7582 & 213.511 \tabularnewline
0.37 & 214.83589 & 215.6214 & 216.046 & 216.046 & 216.07612 & 213.923 & 214.3476 & 216.046 \tabularnewline
0.38 & 216.45764 & 216.6156 & 216.548 & 216.548 & 216.69672 & 216.548 & 216.8184 & 216.548 \tabularnewline
0.39 & 217.00759 & 217.2334 & 217.465 & 217.465 & 217.36078 & 216.886 & 217.1176 & 217.465 \tabularnewline
0.4 & 218.2426 & 218.761 & 218.761 & 218.761 & 219.1194 & 218.761 & 218.761 & 218.761 \tabularnewline
0.41 & 220.53508 & 220.967 & 220.553 & 220.553 & 221.1533 & 220.553 & 221.174 & 220.553 \tabularnewline
0.42 & 222.18764 & 222.8504 & 223.166 & 223.166 & 223.10288 & 221.588 & 221.9036 & 223.166 \tabularnewline
0.43 & 225.91105 & 227.313 & 226.731 & 226.731 & 227.7204 & 226.731 & 229.059 & 226.731 \tabularnewline
0.44 & 230.08948 & 231.3228 & 232.444 & 232.444 & 231.65916 & 229.641 & 230.7622 & 232.444 \tabularnewline
0.45 & 232.56775 & 232.669 & 232.669 & 232.669 & 232.9598 & 232.669 & 232.669 & 232.669 \tabularnewline
0.46 & 235.40252 & 235.867 & 235.577 & 235.577 & 235.925 & 235.577 & 236.012 & 235.577 \tabularnewline
0.47 & 236.43664 & 236.6284 & 236.71 & 236.71 & 236.65288 & 236.302 & 236.3836 & 236.71 \tabularnewline
0.48 & 238.00024 & 238.7796 & 238.502 & 238.502 & 238.83512 & 238.502 & 239.6124 & 238.502 \tabularnewline
0.49 & 239.98515 & 240.409 & 240.755 & 240.755 & 240.4263 & 239.89 & 240.236 & 240.755 \tabularnewline
0.5 & 240.963 & 241.171 & 241.171 & 241.171 & 241.171 & 241.171 & 241.171 & 241.171 \tabularnewline
0.51 & 242.09126 & 242.2606 & 242.205 & 242.205 & 242.25782 & 242.205 & 242.2884 & 242.205 \tabularnewline
0.52 & 243.51944 & 245.7024 & 246.542 & 246.542 & 245.53448 & 242.344 & 243.1836 & 246.542 \tabularnewline
0.53 & 248.28802 & 249.3998 & 249.148 & 249.148 & 249.32426 & 249.148 & 250.1552 & 249.148 \tabularnewline
0.54 & 250.4679 & 251.016 & 251.422 & 251.422 & 250.9348 & 250.407 & 250.813 & 251.422 \tabularnewline
0.55 & 251.9701 & 252.64 & 252.64 & 252.64 & 252.5182 & 251.422 & 252.64 & 252.64 \tabularnewline
0.56 & 256.38808 & 257.288 & 257.102 & 257.102 & 257.2322 & 257.102 & 257.381 & 257.102 \tabularnewline
0.57 & 258.05759 & 259.2734 & 259.7 & 259.7 & 258.97478 & 257.567 & 257.9936 & 259.7 \tabularnewline
0.58 & 260.28404 & 260.8328 & 260.642 & 260.642 & 260.68016 & 260.642 & 261.4052 & 260.642 \tabularnewline
0.59 & 261.60521 & 262.1486 & 262.517 & 262.517 & 261.98282 & 261.596 & 261.9644 & 262.517 \tabularnewline
0.6 & 262.6602 & 262.875 & 262.875 & 262.875 & 262.8034 & 262.517 & 262.875 & 262.875 \tabularnewline
0.61 & 263.68949 & 264.6544 & 263.906 & 263.906 & 264.24278 & 263.906 & 265.0286 & 263.906 \tabularnewline
0.62 & 265.95988 & 266.5898 & 266.793 & 266.793 & 266.34596 & 265.777 & 265.9802 & 266.793 \tabularnewline
0.63 & 271.17573 & 274.698 & 274.482 & 274.482 & 274.02066 & 274.482 & 275.346 & 274.482 \tabularnewline
0.64 & 275.5188 & 277.4694 & 275.562 & 275.562 & 276.57928 & 275.562 & 276.8336 & 278.741 \tabularnewline
0.65 & 281.6558 & 287.069 & 287.069 & 287.069 & 284.5706 & 278.741 & 287.069 & 287.069 \tabularnewline
0.66 & 289.0263 & 291.2968 & 289.714 & 289.714 & 290.03056 & 289.714 & 292.0882 & 289.714 \tabularnewline
0.67 & 293.8803 & 294.959 & 295.281 & 295.281 & 294.4116 & 293.671 & 293.993 & 295.281 \tabularnewline
0.68 & 301.97808 & 308.1628 & 308.16 & 308.16 & 306.09936 & 308.16 & 308.1712 & 308.16 \tabularnewline
0.69 & 308.17274 & 308.3888 & 308.174 & 308.174 & 308.25276 & 308.174 & 308.3172 & 308.532 \tabularnewline
0.7 & 310.1442 & 313.906 & 313.906 & 313.906 & 311.7564 & 308.532 & 313.906 & 313.906 \tabularnewline
0.71 & 315.31981 & 319.189 & 315.955 & 315.955 & 315.91402 & 315.955 & 320.806 & 315.955 \tabularnewline
0.72 & 324.56184 & 329.2584 & 330.563 & 330.563 & 326.38828 & 324.04 & 325.3446 & 330.563 \tabularnewline
0.73 & 339.14426 & 349.0746 & 348.821 & 348.821 & 344.07392 & 330.563 & 349.8354 & 348.821 \tabularnewline
0.74 & 349.91148 & 354.0706 & 350.089 & 350.089 & 350.88532 & 350.089 & 352.7434 & 356.725 \tabularnewline
0.75 & 359.27775 & 366.936 & 366.936 & 366.936 & 361.8305 & 356.725 & 366.936 & 366.936 \tabularnewline
0.76 & 375.39616 & 380.3054 & 380.155 & 380.155 & 378.56872 & 380.155 & 380.3806 & 380.155 \tabularnewline
0.77 & 380.62616 & 383.0686 & 383.703 & 383.703 & 381.35572 & 380.531 & 381.1654 & 383.703 \tabularnewline
0.78 & 384.9567 & 387.0104 & 386.688 & 386.688 & 385.6134 & 383.703 & 387.9776 & 386.688 \tabularnewline
0.79 & 387.99372 & 390.67 & 388.3 & 388.3 & 388.379 & 388.3 & 389.88 & 392.25 \tabularnewline
0.8 & 394.0844 & 401.422 & 401.422 & 401.422 & 395.9188 & 392.25 & 401.422 & 401.422 \tabularnewline
0.81 & 401.71287 & 402.3746 & 401.915 & 401.915 & 401.80654 & 401.915 & 402.6044 & 401.915 \tabularnewline
0.82 & 403.04102 & 403.4576 & 403.064 & 403.064 & 403.14272 & 403.064 & 403.1624 & 403.556 \tabularnewline
0.83 & 404.52207 & 409.2142 & 406.167 & 406.167 & 404.96594 & 403.556 & 418.3558 & 406.167 \tabularnewline
0.84 & 417.74636 & 424.229 & 421.403 & 421.403 & 420.18412 & 421.403 & 423.287 & 426.113 \tabularnewline
0.85 & 427.58945 & 435.956 & 435.956 & 435.956 & 429.0659 & 426.113 & 435.956 & 435.956 \tabularnewline
0.86 & 437.35946 & 439.257 & 438.555 & 438.555 & 437.72332 & 438.555 & 439.608 & 438.555 \tabularnewline
0.87 & 440.18715 & 441.2116 & 440.31 & 440.31 & 440.37762 & 440.31 & 440.5354 & 441.437 \tabularnewline
0.88 & 444.04724 & 454.842 & 449.594 & 449.594 & 445.02608 & 441.437 & 470.586 & 449.594 \tabularnewline
0.89 & 468.2244 & 494.3248 & 475.834 & 475.834 & 471.1108 & 475.834 & 488.1612 & 506.652 \tabularnewline
0.9 & 511.6145 & 556.277 & 556.277 & 556.277 & 516.577 & 506.652 & 556.277 & 556.277 \tabularnewline
0.91 & 578.27065 & 605.2096 & 601.162 & 601.162 & 582.3103 & 556.277 & 607.2334 & 601.162 \tabularnewline
0.92 & 610.06672 & 638.4842 & 611.281 & 611.281 & 610.87624 & 611.281 & 618.0818 & 645.285 \tabularnewline
0.93 & 647.54112 & 655.4894 & 653.641 & 653.641 & 648.12604 & 645.285 & 661.0346 & 653.641 \tabularnewline
0.94 & 659.74072 & 682.0752 & 662.883 & 662.883 & 660.29524 & 662.883 & 675.6778 & 694.87 \tabularnewline
0.95 & 695.10875 & 699.645 & 699.645 & 699.645 & 695.3475 & 694.87 & 699.645 & 699.645 \tabularnewline
0.96 & 724.6436 & 832.7932 & 756.46 & 756.46 & 726.9162 & 699.645 & 870.9598 & 756.46 \tabularnewline
0.97 & 914.85139 & 1014.2138 & 947.293 & 947.293 & 920.57638 & 947.293 & 964.0232 & 1030.944 \tabularnewline
0.98 & 1091.43938 & 1597.4472 & 1305.923 & 1305.923 & 1096.93896 & 1030.944 & 2472.0198 & 1305.923 \tabularnewline
0.99 & 2195.07181 & 3626.8342 & 2763.544 & 2763.544 & 2209.64802 & 2763.544 & 3339.0708 & 4202.361 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203519&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]0.01[/C][C]6.42643[/C][C]6.4678[/C][C]8.95[/C][C]8.95[/C][C]18.46862[/C][C]4.813[/C][C]7.2952[/C][C]4.813[/C][/ROW]
[ROW][C]0.02[/C][C]28.48822[/C][C]28.9892[/C][C]33.999[/C][C]33.999[/C][C]36.30104[/C][C]33.999[/C][C]13.9598[/C][C]33.999[/C][/ROW]
[ROW][C]0.03[/C][C]37.37123[/C][C]37.4318[/C][C]39.047[/C][C]39.047[/C][C]41.62622[/C][C]37.028[/C][C]38.6432[/C][C]37.028[/C][/ROW]
[ROW][C]0.04[/C][C]49.36388[/C][C]50.1008[/C][C]57.47[/C][C]57.47[/C][C]58.58228[/C][C]57.47[/C][C]46.4162[/C][C]57.47[/C][/ROW]
[ROW][C]0.05[/C][C]59.50205[/C][C]59.609[/C][C]59.609[/C][C]59.609[/C][C]61.9013[/C][C]59.609[/C][C]59.609[/C][C]59.609[/C][/ROW]
[ROW][C]0.06[/C][C]62.7884[/C][C]62.9[/C][C]64.016[/C][C]64.016[/C][C]65.95444[/C][C]62.156[/C][C]63.272[/C][C]62.156[/C][/ROW]
[ROW][C]0.07[/C][C]69.06979[/C][C]69.5544[/C][C]70.939[/C][C]70.939[/C][C]72.1963[/C][C]70.939[/C][C]65.4006[/C][C]70.939[/C][/ROW]
[ROW][C]0.08[/C][C]74.314[/C][C]75.294[/C][C]85.094[/C][C]85.094[/C][C]85.15344[/C][C]72.844[/C][C]82.644[/C][C]72.844[/C][/ROW]
[ROW][C]0.09[/C][C]85.85186[/C][C]85.9856[/C][C]86.58[/C][C]86.58[/C][C]93.85356[/C][C]86.58[/C][C]85.6884[/C][C]86.58[/C][/ROW]
[ROW][C]0.1[/C][C]102.1662[/C][C]103.898[/C][C]103.898[/C][C]103.898[/C][C]108.1516[/C][C]103.898[/C][C]103.898[/C][C]103.898[/C][/ROW]
[ROW][C]0.11[/C][C]115.76813[/C][C]118.2538[/C][C]131.812[/C][C]131.812[/C][C]132.6472[/C][C]109.215[/C][C]122.7732[/C][C]109.215[/C][/ROW]
[ROW][C]0.12[/C][C]134.9672[/C][C]135.524[/C][C]136.452[/C][C]136.452[/C][C]136.65416[/C][C]136.452[/C][C]132.74[/C][C]136.452[/C][/ROW]
[ROW][C]0.13[/C][C]136.86459[/C][C]136.9604[/C][C]137.55[/C][C]137.55[/C][C]137.50578[/C][C]136.813[/C][C]137.4026[/C][C]136.813[/C][/ROW]
[ROW][C]0.14[/C][C]138.82466[/C][C]139.2126[/C][C]140.321[/C][C]140.321[/C][C]143.42916[/C][C]137.55[/C][C]138.6584[/C][C]140.321[/C][/ROW]
[ROW][C]0.15[/C][C]148.57705[/C][C]150.034[/C][C]150.034[/C][C]150.034[/C][C]154.3411[/C][C]150.034[/C][C]150.034[/C][C]150.034[/C][/ROW]
[ROW][C]0.16[/C][C]156.6334[/C][C]156.931[/C][C]158.047[/C][C]158.047[/C][C]158.99212[/C][C]156.187[/C][C]157.303[/C][C]156.187[/C][/ROW]
[ROW][C]0.17[/C][C]165.48982[/C][C]167.4982[/C][C]169.861[/C][C]169.861[/C][C]170.50454[/C][C]169.861[/C][C]160.4098[/C][C]169.861[/C][/ROW]
[ROW][C]0.18[/C][C]171.26136[/C][C]171.2736[/C][C]171.328[/C][C]171.328[/C][C]171.31712[/C][C]171.26[/C][C]171.3144[/C][C]171.26[/C][/ROW]
[ROW][C]0.19[/C][C]175.2189[/C][C]177.022[/C][C]180.818[/C][C]180.818[/C][C]181.33896[/C][C]171.328[/C][C]175.124[/C][C]180.818[/C][/ROW]
[ROW][C]0.2[/C][C]182.7124[/C][C]183.186[/C][C]183.186[/C][C]183.186[/C][C]183.4422[/C][C]183.186[/C][C]183.186[/C][C]183.186[/C][/ROW]
[ROW][C]0.21[/C][C]183.80832[/C][C]184.0242[/C][C]184.641[/C][C]184.641[/C][C]184.62044[/C][C]183.613[/C][C]184.2298[/C][C]183.613[/C][/ROW]
[ROW][C]0.22[/C][C]186.5202[/C][C]187.233[/C][C]187.881[/C][C]187.881[/C][C]188.70036[/C][C]187.881[/C][C]185.289[/C][C]187.881[/C][/ROW]
[ROW][C]0.23[/C][C]190.08872[/C][C]190.2014[/C][C]190.157[/C][C]190.157[/C][C]190.32128[/C][C]190.157[/C][C]190.3346[/C][C]190.157[/C][/ROW]
[ROW][C]0.24[/C][C]190.90316[/C][C]191.2526[/C][C]191.835[/C][C]191.835[/C][C]191.95044[/C][C]190.379[/C][C]190.9614[/C][C]191.835[/C][/ROW]
[ROW][C]0.25[/C][C]192.5565[/C][C]192.797[/C][C]192.797[/C][C]192.797[/C][C]193.048[/C][C]192.797[/C][C]192.797[/C][C]192.797[/C][/ROW]
[ROW][C]0.26[/C][C]193.894[/C][C]194.999[/C][C]197.549[/C][C]197.549[/C][C]197.039[/C][C]193.299[/C][C]195.849[/C][C]193.299[/C][/ROW]
[ROW][C]0.27[/C][C]197.94491[/C][C]198.1466[/C][C]198.296[/C][C]198.296[/C][C]198.55626[/C][C]198.296[/C][C]197.6984[/C][C]198.296[/C][/ROW]
[ROW][C]0.28[/C][C]199.21692[/C][C]199.3868[/C][C]199.297[/C][C]199.297[/C][C]199.58436[/C][C]199.297[/C][C]199.6562[/C][C]199.297[/C][/ROW]
[ROW][C]0.29[/C][C]199.8731[/C][C]199.992[/C][C]200.156[/C][C]200.156[/C][C]200.21442[/C][C]199.746[/C][C]199.91[/C][C]200.156[/C][/ROW]
[ROW][C]0.3[/C][C]202.2007[/C][C]203.077[/C][C]203.077[/C][C]203.077[/C][C]203.6006[/C][C]203.077[/C][C]203.077[/C][C]203.077[/C][/ROW]
[ROW][C]0.31[/C][C]204.60065[/C][C]205.34[/C][C]206.771[/C][C]206.771[/C][C]206.2463[/C][C]204.386[/C][C]205.817[/C][C]204.386[/C][/ROW]
[ROW][C]0.32[/C][C]206.82956[/C][C]206.8686[/C][C]206.893[/C][C]206.893[/C][C]206.9954[/C][C]206.771[/C][C]206.7954[/C][C]206.893[/C][/ROW]
[ROW][C]0.33[/C][C]207.4498[/C][C]207.648[/C][C]207.533[/C][C]207.533[/C][C]207.8435[/C][C]207.533[/C][C]207.993[/C][C]207.533[/C][/ROW]
[ROW][C]0.34[/C][C]209.03022[/C][C]210.2362[/C][C]211.655[/C][C]211.655[/C][C]211.37124[/C][C]208.108[/C][C]209.5268[/C][C]211.655[/C][/ROW]
[ROW][C]0.35[/C][C]212.7639[/C][C]213.361[/C][C]213.361[/C][C]213.361[/C][C]213.406[/C][C]213.361[/C][C]213.361[/C][C]213.361[/C][/ROW]
[ROW][C]0.36[/C][C]213.52748[/C][C]213.6758[/C][C]213.923[/C][C]213.923[/C][C]213.79116[/C][C]213.511[/C][C]213.7582[/C][C]213.511[/C][/ROW]
[ROW][C]0.37[/C][C]214.83589[/C][C]215.6214[/C][C]216.046[/C][C]216.046[/C][C]216.07612[/C][C]213.923[/C][C]214.3476[/C][C]216.046[/C][/ROW]
[ROW][C]0.38[/C][C]216.45764[/C][C]216.6156[/C][C]216.548[/C][C]216.548[/C][C]216.69672[/C][C]216.548[/C][C]216.8184[/C][C]216.548[/C][/ROW]
[ROW][C]0.39[/C][C]217.00759[/C][C]217.2334[/C][C]217.465[/C][C]217.465[/C][C]217.36078[/C][C]216.886[/C][C]217.1176[/C][C]217.465[/C][/ROW]
[ROW][C]0.4[/C][C]218.2426[/C][C]218.761[/C][C]218.761[/C][C]218.761[/C][C]219.1194[/C][C]218.761[/C][C]218.761[/C][C]218.761[/C][/ROW]
[ROW][C]0.41[/C][C]220.53508[/C][C]220.967[/C][C]220.553[/C][C]220.553[/C][C]221.1533[/C][C]220.553[/C][C]221.174[/C][C]220.553[/C][/ROW]
[ROW][C]0.42[/C][C]222.18764[/C][C]222.8504[/C][C]223.166[/C][C]223.166[/C][C]223.10288[/C][C]221.588[/C][C]221.9036[/C][C]223.166[/C][/ROW]
[ROW][C]0.43[/C][C]225.91105[/C][C]227.313[/C][C]226.731[/C][C]226.731[/C][C]227.7204[/C][C]226.731[/C][C]229.059[/C][C]226.731[/C][/ROW]
[ROW][C]0.44[/C][C]230.08948[/C][C]231.3228[/C][C]232.444[/C][C]232.444[/C][C]231.65916[/C][C]229.641[/C][C]230.7622[/C][C]232.444[/C][/ROW]
[ROW][C]0.45[/C][C]232.56775[/C][C]232.669[/C][C]232.669[/C][C]232.669[/C][C]232.9598[/C][C]232.669[/C][C]232.669[/C][C]232.669[/C][/ROW]
[ROW][C]0.46[/C][C]235.40252[/C][C]235.867[/C][C]235.577[/C][C]235.577[/C][C]235.925[/C][C]235.577[/C][C]236.012[/C][C]235.577[/C][/ROW]
[ROW][C]0.47[/C][C]236.43664[/C][C]236.6284[/C][C]236.71[/C][C]236.71[/C][C]236.65288[/C][C]236.302[/C][C]236.3836[/C][C]236.71[/C][/ROW]
[ROW][C]0.48[/C][C]238.00024[/C][C]238.7796[/C][C]238.502[/C][C]238.502[/C][C]238.83512[/C][C]238.502[/C][C]239.6124[/C][C]238.502[/C][/ROW]
[ROW][C]0.49[/C][C]239.98515[/C][C]240.409[/C][C]240.755[/C][C]240.755[/C][C]240.4263[/C][C]239.89[/C][C]240.236[/C][C]240.755[/C][/ROW]
[ROW][C]0.5[/C][C]240.963[/C][C]241.171[/C][C]241.171[/C][C]241.171[/C][C]241.171[/C][C]241.171[/C][C]241.171[/C][C]241.171[/C][/ROW]
[ROW][C]0.51[/C][C]242.09126[/C][C]242.2606[/C][C]242.205[/C][C]242.205[/C][C]242.25782[/C][C]242.205[/C][C]242.2884[/C][C]242.205[/C][/ROW]
[ROW][C]0.52[/C][C]243.51944[/C][C]245.7024[/C][C]246.542[/C][C]246.542[/C][C]245.53448[/C][C]242.344[/C][C]243.1836[/C][C]246.542[/C][/ROW]
[ROW][C]0.53[/C][C]248.28802[/C][C]249.3998[/C][C]249.148[/C][C]249.148[/C][C]249.32426[/C][C]249.148[/C][C]250.1552[/C][C]249.148[/C][/ROW]
[ROW][C]0.54[/C][C]250.4679[/C][C]251.016[/C][C]251.422[/C][C]251.422[/C][C]250.9348[/C][C]250.407[/C][C]250.813[/C][C]251.422[/C][/ROW]
[ROW][C]0.55[/C][C]251.9701[/C][C]252.64[/C][C]252.64[/C][C]252.64[/C][C]252.5182[/C][C]251.422[/C][C]252.64[/C][C]252.64[/C][/ROW]
[ROW][C]0.56[/C][C]256.38808[/C][C]257.288[/C][C]257.102[/C][C]257.102[/C][C]257.2322[/C][C]257.102[/C][C]257.381[/C][C]257.102[/C][/ROW]
[ROW][C]0.57[/C][C]258.05759[/C][C]259.2734[/C][C]259.7[/C][C]259.7[/C][C]258.97478[/C][C]257.567[/C][C]257.9936[/C][C]259.7[/C][/ROW]
[ROW][C]0.58[/C][C]260.28404[/C][C]260.8328[/C][C]260.642[/C][C]260.642[/C][C]260.68016[/C][C]260.642[/C][C]261.4052[/C][C]260.642[/C][/ROW]
[ROW][C]0.59[/C][C]261.60521[/C][C]262.1486[/C][C]262.517[/C][C]262.517[/C][C]261.98282[/C][C]261.596[/C][C]261.9644[/C][C]262.517[/C][/ROW]
[ROW][C]0.6[/C][C]262.6602[/C][C]262.875[/C][C]262.875[/C][C]262.875[/C][C]262.8034[/C][C]262.517[/C][C]262.875[/C][C]262.875[/C][/ROW]
[ROW][C]0.61[/C][C]263.68949[/C][C]264.6544[/C][C]263.906[/C][C]263.906[/C][C]264.24278[/C][C]263.906[/C][C]265.0286[/C][C]263.906[/C][/ROW]
[ROW][C]0.62[/C][C]265.95988[/C][C]266.5898[/C][C]266.793[/C][C]266.793[/C][C]266.34596[/C][C]265.777[/C][C]265.9802[/C][C]266.793[/C][/ROW]
[ROW][C]0.63[/C][C]271.17573[/C][C]274.698[/C][C]274.482[/C][C]274.482[/C][C]274.02066[/C][C]274.482[/C][C]275.346[/C][C]274.482[/C][/ROW]
[ROW][C]0.64[/C][C]275.5188[/C][C]277.4694[/C][C]275.562[/C][C]275.562[/C][C]276.57928[/C][C]275.562[/C][C]276.8336[/C][C]278.741[/C][/ROW]
[ROW][C]0.65[/C][C]281.6558[/C][C]287.069[/C][C]287.069[/C][C]287.069[/C][C]284.5706[/C][C]278.741[/C][C]287.069[/C][C]287.069[/C][/ROW]
[ROW][C]0.66[/C][C]289.0263[/C][C]291.2968[/C][C]289.714[/C][C]289.714[/C][C]290.03056[/C][C]289.714[/C][C]292.0882[/C][C]289.714[/C][/ROW]
[ROW][C]0.67[/C][C]293.8803[/C][C]294.959[/C][C]295.281[/C][C]295.281[/C][C]294.4116[/C][C]293.671[/C][C]293.993[/C][C]295.281[/C][/ROW]
[ROW][C]0.68[/C][C]301.97808[/C][C]308.1628[/C][C]308.16[/C][C]308.16[/C][C]306.09936[/C][C]308.16[/C][C]308.1712[/C][C]308.16[/C][/ROW]
[ROW][C]0.69[/C][C]308.17274[/C][C]308.3888[/C][C]308.174[/C][C]308.174[/C][C]308.25276[/C][C]308.174[/C][C]308.3172[/C][C]308.532[/C][/ROW]
[ROW][C]0.7[/C][C]310.1442[/C][C]313.906[/C][C]313.906[/C][C]313.906[/C][C]311.7564[/C][C]308.532[/C][C]313.906[/C][C]313.906[/C][/ROW]
[ROW][C]0.71[/C][C]315.31981[/C][C]319.189[/C][C]315.955[/C][C]315.955[/C][C]315.91402[/C][C]315.955[/C][C]320.806[/C][C]315.955[/C][/ROW]
[ROW][C]0.72[/C][C]324.56184[/C][C]329.2584[/C][C]330.563[/C][C]330.563[/C][C]326.38828[/C][C]324.04[/C][C]325.3446[/C][C]330.563[/C][/ROW]
[ROW][C]0.73[/C][C]339.14426[/C][C]349.0746[/C][C]348.821[/C][C]348.821[/C][C]344.07392[/C][C]330.563[/C][C]349.8354[/C][C]348.821[/C][/ROW]
[ROW][C]0.74[/C][C]349.91148[/C][C]354.0706[/C][C]350.089[/C][C]350.089[/C][C]350.88532[/C][C]350.089[/C][C]352.7434[/C][C]356.725[/C][/ROW]
[ROW][C]0.75[/C][C]359.27775[/C][C]366.936[/C][C]366.936[/C][C]366.936[/C][C]361.8305[/C][C]356.725[/C][C]366.936[/C][C]366.936[/C][/ROW]
[ROW][C]0.76[/C][C]375.39616[/C][C]380.3054[/C][C]380.155[/C][C]380.155[/C][C]378.56872[/C][C]380.155[/C][C]380.3806[/C][C]380.155[/C][/ROW]
[ROW][C]0.77[/C][C]380.62616[/C][C]383.0686[/C][C]383.703[/C][C]383.703[/C][C]381.35572[/C][C]380.531[/C][C]381.1654[/C][C]383.703[/C][/ROW]
[ROW][C]0.78[/C][C]384.9567[/C][C]387.0104[/C][C]386.688[/C][C]386.688[/C][C]385.6134[/C][C]383.703[/C][C]387.9776[/C][C]386.688[/C][/ROW]
[ROW][C]0.79[/C][C]387.99372[/C][C]390.67[/C][C]388.3[/C][C]388.3[/C][C]388.379[/C][C]388.3[/C][C]389.88[/C][C]392.25[/C][/ROW]
[ROW][C]0.8[/C][C]394.0844[/C][C]401.422[/C][C]401.422[/C][C]401.422[/C][C]395.9188[/C][C]392.25[/C][C]401.422[/C][C]401.422[/C][/ROW]
[ROW][C]0.81[/C][C]401.71287[/C][C]402.3746[/C][C]401.915[/C][C]401.915[/C][C]401.80654[/C][C]401.915[/C][C]402.6044[/C][C]401.915[/C][/ROW]
[ROW][C]0.82[/C][C]403.04102[/C][C]403.4576[/C][C]403.064[/C][C]403.064[/C][C]403.14272[/C][C]403.064[/C][C]403.1624[/C][C]403.556[/C][/ROW]
[ROW][C]0.83[/C][C]404.52207[/C][C]409.2142[/C][C]406.167[/C][C]406.167[/C][C]404.96594[/C][C]403.556[/C][C]418.3558[/C][C]406.167[/C][/ROW]
[ROW][C]0.84[/C][C]417.74636[/C][C]424.229[/C][C]421.403[/C][C]421.403[/C][C]420.18412[/C][C]421.403[/C][C]423.287[/C][C]426.113[/C][/ROW]
[ROW][C]0.85[/C][C]427.58945[/C][C]435.956[/C][C]435.956[/C][C]435.956[/C][C]429.0659[/C][C]426.113[/C][C]435.956[/C][C]435.956[/C][/ROW]
[ROW][C]0.86[/C][C]437.35946[/C][C]439.257[/C][C]438.555[/C][C]438.555[/C][C]437.72332[/C][C]438.555[/C][C]439.608[/C][C]438.555[/C][/ROW]
[ROW][C]0.87[/C][C]440.18715[/C][C]441.2116[/C][C]440.31[/C][C]440.31[/C][C]440.37762[/C][C]440.31[/C][C]440.5354[/C][C]441.437[/C][/ROW]
[ROW][C]0.88[/C][C]444.04724[/C][C]454.842[/C][C]449.594[/C][C]449.594[/C][C]445.02608[/C][C]441.437[/C][C]470.586[/C][C]449.594[/C][/ROW]
[ROW][C]0.89[/C][C]468.2244[/C][C]494.3248[/C][C]475.834[/C][C]475.834[/C][C]471.1108[/C][C]475.834[/C][C]488.1612[/C][C]506.652[/C][/ROW]
[ROW][C]0.9[/C][C]511.6145[/C][C]556.277[/C][C]556.277[/C][C]556.277[/C][C]516.577[/C][C]506.652[/C][C]556.277[/C][C]556.277[/C][/ROW]
[ROW][C]0.91[/C][C]578.27065[/C][C]605.2096[/C][C]601.162[/C][C]601.162[/C][C]582.3103[/C][C]556.277[/C][C]607.2334[/C][C]601.162[/C][/ROW]
[ROW][C]0.92[/C][C]610.06672[/C][C]638.4842[/C][C]611.281[/C][C]611.281[/C][C]610.87624[/C][C]611.281[/C][C]618.0818[/C][C]645.285[/C][/ROW]
[ROW][C]0.93[/C][C]647.54112[/C][C]655.4894[/C][C]653.641[/C][C]653.641[/C][C]648.12604[/C][C]645.285[/C][C]661.0346[/C][C]653.641[/C][/ROW]
[ROW][C]0.94[/C][C]659.74072[/C][C]682.0752[/C][C]662.883[/C][C]662.883[/C][C]660.29524[/C][C]662.883[/C][C]675.6778[/C][C]694.87[/C][/ROW]
[ROW][C]0.95[/C][C]695.10875[/C][C]699.645[/C][C]699.645[/C][C]699.645[/C][C]695.3475[/C][C]694.87[/C][C]699.645[/C][C]699.645[/C][/ROW]
[ROW][C]0.96[/C][C]724.6436[/C][C]832.7932[/C][C]756.46[/C][C]756.46[/C][C]726.9162[/C][C]699.645[/C][C]870.9598[/C][C]756.46[/C][/ROW]
[ROW][C]0.97[/C][C]914.85139[/C][C]1014.2138[/C][C]947.293[/C][C]947.293[/C][C]920.57638[/C][C]947.293[/C][C]964.0232[/C][C]1030.944[/C][/ROW]
[ROW][C]0.98[/C][C]1091.43938[/C][C]1597.4472[/C][C]1305.923[/C][C]1305.923[/C][C]1096.93896[/C][C]1030.944[/C][C]2472.0198[/C][C]1305.923[/C][/ROW]
[ROW][C]0.99[/C][C]2195.07181[/C][C]3626.8342[/C][C]2763.544[/C][C]2763.544[/C][C]2209.64802[/C][C]2763.544[/C][C]3339.0708[/C][C]4202.361[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=203519&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203519&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)
0.016.426436.46788.958.9518.468624.8137.29524.813
0.0228.4882228.989233.99933.99936.3010433.99913.959833.999
0.0337.3712337.431839.04739.04741.6262237.02838.643237.028
0.0449.3638850.100857.4757.4758.5822857.4746.416257.47
0.0559.5020559.60959.60959.60961.901359.60959.60959.609
0.0662.788462.964.01664.01665.9544462.15663.27262.156
0.0769.0697969.554470.93970.93972.196370.93965.400670.939
0.0874.31475.29485.09485.09485.1534472.84482.64472.844
0.0985.8518685.985686.5886.5893.8535686.5885.688486.58
0.1102.1662103.898103.898103.898108.1516103.898103.898103.898
0.11115.76813118.2538131.812131.812132.6472109.215122.7732109.215
0.12134.9672135.524136.452136.452136.65416136.452132.74136.452
0.13136.86459136.9604137.55137.55137.50578136.813137.4026136.813
0.14138.82466139.2126140.321140.321143.42916137.55138.6584140.321
0.15148.57705150.034150.034150.034154.3411150.034150.034150.034
0.16156.6334156.931158.047158.047158.99212156.187157.303156.187
0.17165.48982167.4982169.861169.861170.50454169.861160.4098169.861
0.18171.26136171.2736171.328171.328171.31712171.26171.3144171.26
0.19175.2189177.022180.818180.818181.33896171.328175.124180.818
0.2182.7124183.186183.186183.186183.4422183.186183.186183.186
0.21183.80832184.0242184.641184.641184.62044183.613184.2298183.613
0.22186.5202187.233187.881187.881188.70036187.881185.289187.881
0.23190.08872190.2014190.157190.157190.32128190.157190.3346190.157
0.24190.90316191.2526191.835191.835191.95044190.379190.9614191.835
0.25192.5565192.797192.797192.797193.048192.797192.797192.797
0.26193.894194.999197.549197.549197.039193.299195.849193.299
0.27197.94491198.1466198.296198.296198.55626198.296197.6984198.296
0.28199.21692199.3868199.297199.297199.58436199.297199.6562199.297
0.29199.8731199.992200.156200.156200.21442199.746199.91200.156
0.3202.2007203.077203.077203.077203.6006203.077203.077203.077
0.31204.60065205.34206.771206.771206.2463204.386205.817204.386
0.32206.82956206.8686206.893206.893206.9954206.771206.7954206.893
0.33207.4498207.648207.533207.533207.8435207.533207.993207.533
0.34209.03022210.2362211.655211.655211.37124208.108209.5268211.655
0.35212.7639213.361213.361213.361213.406213.361213.361213.361
0.36213.52748213.6758213.923213.923213.79116213.511213.7582213.511
0.37214.83589215.6214216.046216.046216.07612213.923214.3476216.046
0.38216.45764216.6156216.548216.548216.69672216.548216.8184216.548
0.39217.00759217.2334217.465217.465217.36078216.886217.1176217.465
0.4218.2426218.761218.761218.761219.1194218.761218.761218.761
0.41220.53508220.967220.553220.553221.1533220.553221.174220.553
0.42222.18764222.8504223.166223.166223.10288221.588221.9036223.166
0.43225.91105227.313226.731226.731227.7204226.731229.059226.731
0.44230.08948231.3228232.444232.444231.65916229.641230.7622232.444
0.45232.56775232.669232.669232.669232.9598232.669232.669232.669
0.46235.40252235.867235.577235.577235.925235.577236.012235.577
0.47236.43664236.6284236.71236.71236.65288236.302236.3836236.71
0.48238.00024238.7796238.502238.502238.83512238.502239.6124238.502
0.49239.98515240.409240.755240.755240.4263239.89240.236240.755
0.5240.963241.171241.171241.171241.171241.171241.171241.171
0.51242.09126242.2606242.205242.205242.25782242.205242.2884242.205
0.52243.51944245.7024246.542246.542245.53448242.344243.1836246.542
0.53248.28802249.3998249.148249.148249.32426249.148250.1552249.148
0.54250.4679251.016251.422251.422250.9348250.407250.813251.422
0.55251.9701252.64252.64252.64252.5182251.422252.64252.64
0.56256.38808257.288257.102257.102257.2322257.102257.381257.102
0.57258.05759259.2734259.7259.7258.97478257.567257.9936259.7
0.58260.28404260.8328260.642260.642260.68016260.642261.4052260.642
0.59261.60521262.1486262.517262.517261.98282261.596261.9644262.517
0.6262.6602262.875262.875262.875262.8034262.517262.875262.875
0.61263.68949264.6544263.906263.906264.24278263.906265.0286263.906
0.62265.95988266.5898266.793266.793266.34596265.777265.9802266.793
0.63271.17573274.698274.482274.482274.02066274.482275.346274.482
0.64275.5188277.4694275.562275.562276.57928275.562276.8336278.741
0.65281.6558287.069287.069287.069284.5706278.741287.069287.069
0.66289.0263291.2968289.714289.714290.03056289.714292.0882289.714
0.67293.8803294.959295.281295.281294.4116293.671293.993295.281
0.68301.97808308.1628308.16308.16306.09936308.16308.1712308.16
0.69308.17274308.3888308.174308.174308.25276308.174308.3172308.532
0.7310.1442313.906313.906313.906311.7564308.532313.906313.906
0.71315.31981319.189315.955315.955315.91402315.955320.806315.955
0.72324.56184329.2584330.563330.563326.38828324.04325.3446330.563
0.73339.14426349.0746348.821348.821344.07392330.563349.8354348.821
0.74349.91148354.0706350.089350.089350.88532350.089352.7434356.725
0.75359.27775366.936366.936366.936361.8305356.725366.936366.936
0.76375.39616380.3054380.155380.155378.56872380.155380.3806380.155
0.77380.62616383.0686383.703383.703381.35572380.531381.1654383.703
0.78384.9567387.0104386.688386.688385.6134383.703387.9776386.688
0.79387.99372390.67388.3388.3388.379388.3389.88392.25
0.8394.0844401.422401.422401.422395.9188392.25401.422401.422
0.81401.71287402.3746401.915401.915401.80654401.915402.6044401.915
0.82403.04102403.4576403.064403.064403.14272403.064403.1624403.556
0.83404.52207409.2142406.167406.167404.96594403.556418.3558406.167
0.84417.74636424.229421.403421.403420.18412421.403423.287426.113
0.85427.58945435.956435.956435.956429.0659426.113435.956435.956
0.86437.35946439.257438.555438.555437.72332438.555439.608438.555
0.87440.18715441.2116440.31440.31440.37762440.31440.5354441.437
0.88444.04724454.842449.594449.594445.02608441.437470.586449.594
0.89468.2244494.3248475.834475.834471.1108475.834488.1612506.652
0.9511.6145556.277556.277556.277516.577506.652556.277556.277
0.91578.27065605.2096601.162601.162582.3103556.277607.2334601.162
0.92610.06672638.4842611.281611.281610.87624611.281618.0818645.285
0.93647.54112655.4894653.641653.641648.12604645.285661.0346653.641
0.94659.74072682.0752662.883662.883660.29524662.883675.6778694.87
0.95695.10875699.645699.645699.645695.3475694.87699.645699.645
0.96724.6436832.7932756.46756.46726.9162699.645870.9598756.46
0.97914.851391014.2138947.293947.293920.57638947.293964.02321030.944
0.981091.439381597.44721305.9231305.9231096.938961030.9442472.01981305.923
0.992195.071813626.83422763.5442763.5442209.648022763.5443339.07084202.361


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')