Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationMon, 04 Oct 2010 19:25:02 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/04/t1286220568tskff59qncp9sne.htm/, Retrieved Sat, 27 Apr 2024 18:58:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=81065, Retrieved Sat, 27 Apr 2024 18:58:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact118
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   P     [Percentiles] [TASK 6] [2010-10-04 19:25:02] [61e5ee05de011f44efa37f086a4e2271] [Current]
Feedback Forum
2010-10-09 14:21:44 [01b8b2bcf185aaeb880175e70c026485] [reply
je moet hier wel nog een conclusie formuleren.
deel1: hiervoor moet je kijken in de tabel bij 0.05 (5%) Als je dit opzoekt in de tabel zie je de volgende gegevens: 0.05 - 59.50205 59.609 59.609 59.609 61.9013 59.609 59.609 59.609
Je kan hier dus uit opmaken dat studenten die minder dan 1 minuut nodig hadden voor het invullen van de enquête geen serieuze poging ondernomen hebben.Deze moeten dus verwijderd worden.
Deel 2: Hiervoor moet je kijken in dezelfde tabel waar 120 seconden staat vermeld. Als je dat zoekt, zie je dat het ergens tussen de 10 à 11% ligt. We kunnen dus concluderen dat ongeveer 10 à 11% van de studenten minder dan 2 min nodig had om de enquête in te vullen.
2010-10-10 09:21:07 [48eb36e2c01435ad7e4ea7854a9d98fe] [reply
Er ontbreekt hier inderdaad een correcte interpretatie van de gegevens. Er zijn voor het begrip 'percentielen' verschillende definities (voorgesteld in de verschillende kolommen van de tabel); in het college van woensdag 6 oktober werd de vijfde definitie 'Empirical Distribution Function – Interpolation” aangeraden.

Wat betreft de eerste vraag zien we dat het vijfde percentiel dan overeenstemd met 61,9013 seconden. Dit betekent dat alle studenten die minder dan 61,9013 seconden aan de enquête hebben gewerkt, geen ernstige poging hebben ondernomen.

Wat betreft de tweede vraag, zien we dat de waarde 120 seconden tussen het tiende en het elfde percentiel ligt. Dit betekent dat ongeveer 10% van de waarden kleiner is dan 120 seconden en dat dus de waarschijnlijkheid dat studenten minder dan twee minuten tijd nodig hebben gelijk is aan ca 10%.

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Dataseries X:
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




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 3 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=81065&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=81065&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=81065&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 time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







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=81065&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=81065&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=81065&T=1

As an alternative you can also use a 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



Parameters (Session):
par1 = 50 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
Parameters (R input):
par1 = ; par2 = ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')