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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationFri, 10 Dec 2010 11:47:03 +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/Dec/10/t1291981529nsscxmn5yhhm4sb.htm/, Retrieved Mon, 29 Apr 2024 09:16:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107575, Retrieved Mon, 29 Apr 2024 09:16:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
F  MPD  [Univariate Data Series] [Task 9] [2010-10-03 12:08:13] [39c51da0be01189e8a44eb69e891b7a1]
- RMPD      [Percentiles] [Q-Q plot] [2010-12-10 11:47:03] [ecfb965f5669057f3ac5b58964283289] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
237,588
164,083
278,261
220,36
253,967
422,31
136,921
143,495
189,785
219,529
217,761
221,754
159,854
209,464
174,283
154,55
153,024
162,49
154,462
249,671
259,473
155,337
151,289
276,614
188,214
181,098
240,898
244,551
250,238
183,129
310,331
281,942
230,343
161,563
392,527
1077,414
248,275
557,386
731,874
301,429
226,36
215,018
157,672
219,118
213,019
390,642
157,124
227,652
239,266
506,343
149,219
213,351
174,517
172,531
320,656
305,011
266,495
361,511
361,019
382,187
196,763
273,212
186,397
294,205
364,685
230,501
217,51
262,297
169,246
260,428
348,187
512,937
164,496
111,187
169,999
240,187
187,158
194,096
265,846
283,319
356,938
240,802
326,662
249,266
277,368
394,618
235,686
227,641
159,593
268,866
206,466
233,064
133,824
486,783
228,859
155,238
2042,451
205,218
373,648
229,151
199,156
234,41
56,519
289,239
199,227
274,513
174,499
217,714
239,717
241,529
155,561
204,107
745,97
241,772
110,267
186,58
227,906
197,518
254,094
173,942
294,42
211,924
262,479
193,495
165,972
237,352
205,814
227,526
250,439
470,849
176,469
298,691
193,922
212,422
203,284
240,56
445,327
248,984
174,44
165,024
249,681
238,312
250,437
174,75
4941,633
138,936
203,181
187,747
270,95
307,688
184,477
230,916
187,286
169,376
182,838
176,081
248,056
235,24
76,347

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time74 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 74 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107575&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]74 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107575&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107575&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 time74 seconds
R Server'George Udny Yule' @ 72.249.76.132






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)
0.0168.2175268.415876.34776.34796.020676.34764.450276.347
0.02110.4326110.451111.187111.187114.80892110.267111.003110.267
0.03128.61749129.2966133.824133.824136.11578133.824115.7144133.824
0.04137.6464137.727138.936138.936140.39488136.921138.13136.921
0.05143.26705143.495143.495143.495148.6466143.495143.495143.495
0.06150.3368150.461151.289151.289152.1218151.289150.047151.289
0.07153.21094153.3116154.462154.462154.46728153.024154.1744153.024
0.08154.52536154.5324154.55154.55154.99032154.55154.4796154.55
0.09155.26869155.2776155.337155.337155.38628155.238155.2974155.238
0.1155.5386155.561155.561155.561156.8114155.561155.561155.561
0.11157.39252157.4528157.672157.672158.40198157.124157.3432157.672
0.12159.61388159.6452159.854159.854159.84356159.593159.8018159.593
0.13160.99903161.2212161.563161.563162.06358161.563160.1958161.563
0.14162.90418163.1272164.083164.083164.13256162.49163.4458162.49
0.15164.43405164.496164.496164.496164.8656164.496164.496164.496
0.16165.44112165.5928165.972165.972166.88872165.024165.4032165.972
0.17169.2499169.272169.376169.376169.3578169.246169.35169.246
0.18169.76226169.8744169.999169.999171.11308169.999169.5006169.999
0.19172.82731173.0954173.942173.942173.94882172.531173.3776172.531
0.2174.2148174.283174.283174.283174.3772174.283174.283174.283
0.21174.46301174.4754174.499174.499174.50224174.44174.4636174.499
0.22174.51664174.5636174.517174.517174.69408174.517174.7034174.517
0.23175.50867175.8148176.081176.081176.21292176.081175.0162176.081
0.24177.20964178.3206181.098181.098180.72768176.469179.2464176.469
0.25182.403182.838182.838182.838182.9835182.838182.838182.838
0.26183.58732183.9378184.477184.477184.6306183.129183.6682184.477
0.27186.2626186.4336186.397186.397186.51778186.397186.5434186.397
0.28186.88056187.0424187.158187.158187.18872187.158186.6956187.158
0.29187.33671187.4704187.747187.747187.66402187.286187.5626187.286
0.3188.0739188.214188.214188.214188.8424188.214188.214188.214
0.31190.8609192.011193.495193.495193.4208189.785191.269193.495
0.32193.87076193.9568193.922193.922194.01944193.922194.0612193.922
0.33195.34949196.2296196.763196.763196.8687194.096194.6294196.763
0.34197.61628198.1732199.156199.156198.69736197.518198.5008197.518
0.35199.20215199.227199.227199.227200.4132199.227199.227199.227
0.36203.20572203.2428203.284203.284203.27164203.181203.2222203.284
0.37203.96709204.3292204.107204.107204.61806204.107204.9958204.107
0.38205.46832205.6948205.814205.814205.84008205.218205.3372205.814
0.39206.49598207.6652209.464209.464208.32476206.466208.2648206.466
0.4210.94211.924211.924211.924212.0236211.924211.924211.924
0.41212.53543212.7802213.019213.019212.88766212.422212.6608213.019
0.42213.27796213.6844213.351213.351213.95112213.351214.6846213.351
0.43215.94004217.0116217.51217.51217.36048215.018215.5164217.51
0.44217.70584217.7328217.714217.714217.73844217.714217.7422217.714
0.45218.50735219.118219.118219.118219.1591219.118219.118219.118
0.46219.64534220.0276220.36220.36220.09408219.529219.8614220.36
0.47221.37762222.6752221.754221.754222.95156221.754225.4388221.754
0.48226.73312227.2928227.526227.526227.33944226.36226.5932227.526
0.49227.63065227.6454227.641227.641227.64562227.641227.6476227.641
0.5227.779227.906227.906227.906227.906227.906227.906227.906
0.51228.88528229.0342229.151229.151229.02836228.859228.9758229.151
0.52229.96156230.3746230.343230.343230.36828230.343230.4694230.343
0.53230.61305230.833230.916230.916230.8081230.501230.584230.916
0.54232.76328233.6024233.064233.064233.49472233.064233.8716233.064
0.55234.7835235.24235.24235.24235.157234.41235.24235.24
0.56235.75264236.6856237.352237.352236.48568235.686236.3524237.352
0.57237.50068237.7328237.588237.588237.63144237.588238.1672237.588
0.58238.52188239.0752239.266239.266238.92256238.312238.5028239.266
0.59239.63131239.905239.717239.717239.8204239.717239.999239.717
0.6240.3362240.56240.56240.56240.4854240.187240.56240.56
0.61240.79958240.8596240.802240.802240.83848240.802240.8404240.898
0.62241.26398241.5776241.529241.529241.50376241.529241.7234241.529
0.63242.24443243.9952244.551244.551243.27266241.772242.3278244.551
0.64247.2148248.1436248.056248.056248.08228248.056248.1874248.056
0.65248.52315248.984248.984248.984248.7713248.275248.984248.984
0.66249.24908249.509249.266249.266249.3794249.266249.428249.671
0.67249.6763249.7924249.681249.681249.6796249.681250.1266249.681
0.68250.26188250.3972250.437250.437250.32556250.238250.2778250.437
0.69250.43842251.8502250.439250.439250.50956250.439252.5558250.439
0.7254.0051254.094254.094254.094254.0432253.967254.094254.094
0.71258.88131260.046259.473259.473259.6449259.473259.855260.428
0.72261.32512262.3334262.297262.297261.84844260.428262.4426262.297
0.73262.71469265.1726265.846265.846263.62378262.479263.1524265.846
0.74266.27434267.4434266.495266.495266.44308266.495267.9176266.495
0.75269.387270.95270.95270.95269.908268.866270.95270.95
0.76272.85008273.9926273.212273.212273.31608273.212273.7324274.513
0.77275.41643276.7648276.614276.614275.89966274.513277.2172276.614
0.78277.38586278.0824278.261278.261277.58232277.368277.5466278.261
0.79280.50641282.4928281.942281.942281.27942281.942282.7682281.942
0.8284.503289.239289.239289.239285.687283.319289.239289.239
0.81293.16214294.334294.205294.205294.10568294.205294.291294.42
0.82296.04298299.2386298.691298.691296.81176294.42300.8814298.691
0.83301.34686304.2946301.429301.429301.93048301.429302.1454305.011
0.84306.51012308.7452307.688307.688306.93844307.688309.2738307.688
0.85311.87975320.656320.656320.656313.4285310.331320.656320.656
0.86325.10044339.577326.662326.662325.94128326.662335.272348.187
0.87351.07483357.7542356.938356.938352.21246348.187360.2028356.938
0.88360.69252361.4126361.019361.019361.03868361.019361.1174361.511
0.89363.12974368.2702364.685364.685363.47888364.685370.0628364.685
0.9374.5019382.187382.187382.187375.3558373.648382.187382.187
0.91388.02095391.773390.642390.642388.7819390.642391.396392.527
0.92393.11248400.1564394.618394.618393.27976392.527416.7716394.618
0.93418.71004440.7236422.31422.31420.64848422.31426.9134445.327
0.94457.06712477.2226470.849470.849458.59844445.327480.4094470.849
0.95487.761506.343506.343506.343488.739486.783506.343506.343
0.96510.56316539.6064512.937512.937510.82692512.937530.7166557.386
0.97597.51824734.6932731.874731.874602.75288557.386743.1508731.874
0.98743.432721011.1252745.97745.97743.71464745.97812.25881077.414
0.991473.079173202.12382042.4512042.4511482.729541077.4143781.96022042.451

\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 & 68.21752 & 68.4158 & 76.347 & 76.347 & 96.0206 & 76.347 & 64.4502 & 76.347 \tabularnewline
0.02 & 110.4326 & 110.451 & 111.187 & 111.187 & 114.80892 & 110.267 & 111.003 & 110.267 \tabularnewline
0.03 & 128.61749 & 129.2966 & 133.824 & 133.824 & 136.11578 & 133.824 & 115.7144 & 133.824 \tabularnewline
0.04 & 137.6464 & 137.727 & 138.936 & 138.936 & 140.39488 & 136.921 & 138.13 & 136.921 \tabularnewline
0.05 & 143.26705 & 143.495 & 143.495 & 143.495 & 148.6466 & 143.495 & 143.495 & 143.495 \tabularnewline
0.06 & 150.3368 & 150.461 & 151.289 & 151.289 & 152.1218 & 151.289 & 150.047 & 151.289 \tabularnewline
0.07 & 153.21094 & 153.3116 & 154.462 & 154.462 & 154.46728 & 153.024 & 154.1744 & 153.024 \tabularnewline
0.08 & 154.52536 & 154.5324 & 154.55 & 154.55 & 154.99032 & 154.55 & 154.4796 & 154.55 \tabularnewline
0.09 & 155.26869 & 155.2776 & 155.337 & 155.337 & 155.38628 & 155.238 & 155.2974 & 155.238 \tabularnewline
0.1 & 155.5386 & 155.561 & 155.561 & 155.561 & 156.8114 & 155.561 & 155.561 & 155.561 \tabularnewline
0.11 & 157.39252 & 157.4528 & 157.672 & 157.672 & 158.40198 & 157.124 & 157.3432 & 157.672 \tabularnewline
0.12 & 159.61388 & 159.6452 & 159.854 & 159.854 & 159.84356 & 159.593 & 159.8018 & 159.593 \tabularnewline
0.13 & 160.99903 & 161.2212 & 161.563 & 161.563 & 162.06358 & 161.563 & 160.1958 & 161.563 \tabularnewline
0.14 & 162.90418 & 163.1272 & 164.083 & 164.083 & 164.13256 & 162.49 & 163.4458 & 162.49 \tabularnewline
0.15 & 164.43405 & 164.496 & 164.496 & 164.496 & 164.8656 & 164.496 & 164.496 & 164.496 \tabularnewline
0.16 & 165.44112 & 165.5928 & 165.972 & 165.972 & 166.88872 & 165.024 & 165.4032 & 165.972 \tabularnewline
0.17 & 169.2499 & 169.272 & 169.376 & 169.376 & 169.3578 & 169.246 & 169.35 & 169.246 \tabularnewline
0.18 & 169.76226 & 169.8744 & 169.999 & 169.999 & 171.11308 & 169.999 & 169.5006 & 169.999 \tabularnewline
0.19 & 172.82731 & 173.0954 & 173.942 & 173.942 & 173.94882 & 172.531 & 173.3776 & 172.531 \tabularnewline
0.2 & 174.2148 & 174.283 & 174.283 & 174.283 & 174.3772 & 174.283 & 174.283 & 174.283 \tabularnewline
0.21 & 174.46301 & 174.4754 & 174.499 & 174.499 & 174.50224 & 174.44 & 174.4636 & 174.499 \tabularnewline
0.22 & 174.51664 & 174.5636 & 174.517 & 174.517 & 174.69408 & 174.517 & 174.7034 & 174.517 \tabularnewline
0.23 & 175.50867 & 175.8148 & 176.081 & 176.081 & 176.21292 & 176.081 & 175.0162 & 176.081 \tabularnewline
0.24 & 177.20964 & 178.3206 & 181.098 & 181.098 & 180.72768 & 176.469 & 179.2464 & 176.469 \tabularnewline
0.25 & 182.403 & 182.838 & 182.838 & 182.838 & 182.9835 & 182.838 & 182.838 & 182.838 \tabularnewline
0.26 & 183.58732 & 183.9378 & 184.477 & 184.477 & 184.6306 & 183.129 & 183.6682 & 184.477 \tabularnewline
0.27 & 186.2626 & 186.4336 & 186.397 & 186.397 & 186.51778 & 186.397 & 186.5434 & 186.397 \tabularnewline
0.28 & 186.88056 & 187.0424 & 187.158 & 187.158 & 187.18872 & 187.158 & 186.6956 & 187.158 \tabularnewline
0.29 & 187.33671 & 187.4704 & 187.747 & 187.747 & 187.66402 & 187.286 & 187.5626 & 187.286 \tabularnewline
0.3 & 188.0739 & 188.214 & 188.214 & 188.214 & 188.8424 & 188.214 & 188.214 & 188.214 \tabularnewline
0.31 & 190.8609 & 192.011 & 193.495 & 193.495 & 193.4208 & 189.785 & 191.269 & 193.495 \tabularnewline
0.32 & 193.87076 & 193.9568 & 193.922 & 193.922 & 194.01944 & 193.922 & 194.0612 & 193.922 \tabularnewline
0.33 & 195.34949 & 196.2296 & 196.763 & 196.763 & 196.8687 & 194.096 & 194.6294 & 196.763 \tabularnewline
0.34 & 197.61628 & 198.1732 & 199.156 & 199.156 & 198.69736 & 197.518 & 198.5008 & 197.518 \tabularnewline
0.35 & 199.20215 & 199.227 & 199.227 & 199.227 & 200.4132 & 199.227 & 199.227 & 199.227 \tabularnewline
0.36 & 203.20572 & 203.2428 & 203.284 & 203.284 & 203.27164 & 203.181 & 203.2222 & 203.284 \tabularnewline
0.37 & 203.96709 & 204.3292 & 204.107 & 204.107 & 204.61806 & 204.107 & 204.9958 & 204.107 \tabularnewline
0.38 & 205.46832 & 205.6948 & 205.814 & 205.814 & 205.84008 & 205.218 & 205.3372 & 205.814 \tabularnewline
0.39 & 206.49598 & 207.6652 & 209.464 & 209.464 & 208.32476 & 206.466 & 208.2648 & 206.466 \tabularnewline
0.4 & 210.94 & 211.924 & 211.924 & 211.924 & 212.0236 & 211.924 & 211.924 & 211.924 \tabularnewline
0.41 & 212.53543 & 212.7802 & 213.019 & 213.019 & 212.88766 & 212.422 & 212.6608 & 213.019 \tabularnewline
0.42 & 213.27796 & 213.6844 & 213.351 & 213.351 & 213.95112 & 213.351 & 214.6846 & 213.351 \tabularnewline
0.43 & 215.94004 & 217.0116 & 217.51 & 217.51 & 217.36048 & 215.018 & 215.5164 & 217.51 \tabularnewline
0.44 & 217.70584 & 217.7328 & 217.714 & 217.714 & 217.73844 & 217.714 & 217.7422 & 217.714 \tabularnewline
0.45 & 218.50735 & 219.118 & 219.118 & 219.118 & 219.1591 & 219.118 & 219.118 & 219.118 \tabularnewline
0.46 & 219.64534 & 220.0276 & 220.36 & 220.36 & 220.09408 & 219.529 & 219.8614 & 220.36 \tabularnewline
0.47 & 221.37762 & 222.6752 & 221.754 & 221.754 & 222.95156 & 221.754 & 225.4388 & 221.754 \tabularnewline
0.48 & 226.73312 & 227.2928 & 227.526 & 227.526 & 227.33944 & 226.36 & 226.5932 & 227.526 \tabularnewline
0.49 & 227.63065 & 227.6454 & 227.641 & 227.641 & 227.64562 & 227.641 & 227.6476 & 227.641 \tabularnewline
0.5 & 227.779 & 227.906 & 227.906 & 227.906 & 227.906 & 227.906 & 227.906 & 227.906 \tabularnewline
0.51 & 228.88528 & 229.0342 & 229.151 & 229.151 & 229.02836 & 228.859 & 228.9758 & 229.151 \tabularnewline
0.52 & 229.96156 & 230.3746 & 230.343 & 230.343 & 230.36828 & 230.343 & 230.4694 & 230.343 \tabularnewline
0.53 & 230.61305 & 230.833 & 230.916 & 230.916 & 230.8081 & 230.501 & 230.584 & 230.916 \tabularnewline
0.54 & 232.76328 & 233.6024 & 233.064 & 233.064 & 233.49472 & 233.064 & 233.8716 & 233.064 \tabularnewline
0.55 & 234.7835 & 235.24 & 235.24 & 235.24 & 235.157 & 234.41 & 235.24 & 235.24 \tabularnewline
0.56 & 235.75264 & 236.6856 & 237.352 & 237.352 & 236.48568 & 235.686 & 236.3524 & 237.352 \tabularnewline
0.57 & 237.50068 & 237.7328 & 237.588 & 237.588 & 237.63144 & 237.588 & 238.1672 & 237.588 \tabularnewline
0.58 & 238.52188 & 239.0752 & 239.266 & 239.266 & 238.92256 & 238.312 & 238.5028 & 239.266 \tabularnewline
0.59 & 239.63131 & 239.905 & 239.717 & 239.717 & 239.8204 & 239.717 & 239.999 & 239.717 \tabularnewline
0.6 & 240.3362 & 240.56 & 240.56 & 240.56 & 240.4854 & 240.187 & 240.56 & 240.56 \tabularnewline
0.61 & 240.79958 & 240.8596 & 240.802 & 240.802 & 240.83848 & 240.802 & 240.8404 & 240.898 \tabularnewline
0.62 & 241.26398 & 241.5776 & 241.529 & 241.529 & 241.50376 & 241.529 & 241.7234 & 241.529 \tabularnewline
0.63 & 242.24443 & 243.9952 & 244.551 & 244.551 & 243.27266 & 241.772 & 242.3278 & 244.551 \tabularnewline
0.64 & 247.2148 & 248.1436 & 248.056 & 248.056 & 248.08228 & 248.056 & 248.1874 & 248.056 \tabularnewline
0.65 & 248.52315 & 248.984 & 248.984 & 248.984 & 248.7713 & 248.275 & 248.984 & 248.984 \tabularnewline
0.66 & 249.24908 & 249.509 & 249.266 & 249.266 & 249.3794 & 249.266 & 249.428 & 249.671 \tabularnewline
0.67 & 249.6763 & 249.7924 & 249.681 & 249.681 & 249.6796 & 249.681 & 250.1266 & 249.681 \tabularnewline
0.68 & 250.26188 & 250.3972 & 250.437 & 250.437 & 250.32556 & 250.238 & 250.2778 & 250.437 \tabularnewline
0.69 & 250.43842 & 251.8502 & 250.439 & 250.439 & 250.50956 & 250.439 & 252.5558 & 250.439 \tabularnewline
0.7 & 254.0051 & 254.094 & 254.094 & 254.094 & 254.0432 & 253.967 & 254.094 & 254.094 \tabularnewline
0.71 & 258.88131 & 260.046 & 259.473 & 259.473 & 259.6449 & 259.473 & 259.855 & 260.428 \tabularnewline
0.72 & 261.32512 & 262.3334 & 262.297 & 262.297 & 261.84844 & 260.428 & 262.4426 & 262.297 \tabularnewline
0.73 & 262.71469 & 265.1726 & 265.846 & 265.846 & 263.62378 & 262.479 & 263.1524 & 265.846 \tabularnewline
0.74 & 266.27434 & 267.4434 & 266.495 & 266.495 & 266.44308 & 266.495 & 267.9176 & 266.495 \tabularnewline
0.75 & 269.387 & 270.95 & 270.95 & 270.95 & 269.908 & 268.866 & 270.95 & 270.95 \tabularnewline
0.76 & 272.85008 & 273.9926 & 273.212 & 273.212 & 273.31608 & 273.212 & 273.7324 & 274.513 \tabularnewline
0.77 & 275.41643 & 276.7648 & 276.614 & 276.614 & 275.89966 & 274.513 & 277.2172 & 276.614 \tabularnewline
0.78 & 277.38586 & 278.0824 & 278.261 & 278.261 & 277.58232 & 277.368 & 277.5466 & 278.261 \tabularnewline
0.79 & 280.50641 & 282.4928 & 281.942 & 281.942 & 281.27942 & 281.942 & 282.7682 & 281.942 \tabularnewline
0.8 & 284.503 & 289.239 & 289.239 & 289.239 & 285.687 & 283.319 & 289.239 & 289.239 \tabularnewline
0.81 & 293.16214 & 294.334 & 294.205 & 294.205 & 294.10568 & 294.205 & 294.291 & 294.42 \tabularnewline
0.82 & 296.04298 & 299.2386 & 298.691 & 298.691 & 296.81176 & 294.42 & 300.8814 & 298.691 \tabularnewline
0.83 & 301.34686 & 304.2946 & 301.429 & 301.429 & 301.93048 & 301.429 & 302.1454 & 305.011 \tabularnewline
0.84 & 306.51012 & 308.7452 & 307.688 & 307.688 & 306.93844 & 307.688 & 309.2738 & 307.688 \tabularnewline
0.85 & 311.87975 & 320.656 & 320.656 & 320.656 & 313.4285 & 310.331 & 320.656 & 320.656 \tabularnewline
0.86 & 325.10044 & 339.577 & 326.662 & 326.662 & 325.94128 & 326.662 & 335.272 & 348.187 \tabularnewline
0.87 & 351.07483 & 357.7542 & 356.938 & 356.938 & 352.21246 & 348.187 & 360.2028 & 356.938 \tabularnewline
0.88 & 360.69252 & 361.4126 & 361.019 & 361.019 & 361.03868 & 361.019 & 361.1174 & 361.511 \tabularnewline
0.89 & 363.12974 & 368.2702 & 364.685 & 364.685 & 363.47888 & 364.685 & 370.0628 & 364.685 \tabularnewline
0.9 & 374.5019 & 382.187 & 382.187 & 382.187 & 375.3558 & 373.648 & 382.187 & 382.187 \tabularnewline
0.91 & 388.02095 & 391.773 & 390.642 & 390.642 & 388.7819 & 390.642 & 391.396 & 392.527 \tabularnewline
0.92 & 393.11248 & 400.1564 & 394.618 & 394.618 & 393.27976 & 392.527 & 416.7716 & 394.618 \tabularnewline
0.93 & 418.71004 & 440.7236 & 422.31 & 422.31 & 420.64848 & 422.31 & 426.9134 & 445.327 \tabularnewline
0.94 & 457.06712 & 477.2226 & 470.849 & 470.849 & 458.59844 & 445.327 & 480.4094 & 470.849 \tabularnewline
0.95 & 487.761 & 506.343 & 506.343 & 506.343 & 488.739 & 486.783 & 506.343 & 506.343 \tabularnewline
0.96 & 510.56316 & 539.6064 & 512.937 & 512.937 & 510.82692 & 512.937 & 530.7166 & 557.386 \tabularnewline
0.97 & 597.51824 & 734.6932 & 731.874 & 731.874 & 602.75288 & 557.386 & 743.1508 & 731.874 \tabularnewline
0.98 & 743.43272 & 1011.1252 & 745.97 & 745.97 & 743.71464 & 745.97 & 812.2588 & 1077.414 \tabularnewline
0.99 & 1473.07917 & 3202.1238 & 2042.451 & 2042.451 & 1482.72954 & 1077.414 & 3781.9602 & 2042.451 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107575&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]68.21752[/C][C]68.4158[/C][C]76.347[/C][C]76.347[/C][C]96.0206[/C][C]76.347[/C][C]64.4502[/C][C]76.347[/C][/ROW]
[ROW][C]0.02[/C][C]110.4326[/C][C]110.451[/C][C]111.187[/C][C]111.187[/C][C]114.80892[/C][C]110.267[/C][C]111.003[/C][C]110.267[/C][/ROW]
[ROW][C]0.03[/C][C]128.61749[/C][C]129.2966[/C][C]133.824[/C][C]133.824[/C][C]136.11578[/C][C]133.824[/C][C]115.7144[/C][C]133.824[/C][/ROW]
[ROW][C]0.04[/C][C]137.6464[/C][C]137.727[/C][C]138.936[/C][C]138.936[/C][C]140.39488[/C][C]136.921[/C][C]138.13[/C][C]136.921[/C][/ROW]
[ROW][C]0.05[/C][C]143.26705[/C][C]143.495[/C][C]143.495[/C][C]143.495[/C][C]148.6466[/C][C]143.495[/C][C]143.495[/C][C]143.495[/C][/ROW]
[ROW][C]0.06[/C][C]150.3368[/C][C]150.461[/C][C]151.289[/C][C]151.289[/C][C]152.1218[/C][C]151.289[/C][C]150.047[/C][C]151.289[/C][/ROW]
[ROW][C]0.07[/C][C]153.21094[/C][C]153.3116[/C][C]154.462[/C][C]154.462[/C][C]154.46728[/C][C]153.024[/C][C]154.1744[/C][C]153.024[/C][/ROW]
[ROW][C]0.08[/C][C]154.52536[/C][C]154.5324[/C][C]154.55[/C][C]154.55[/C][C]154.99032[/C][C]154.55[/C][C]154.4796[/C][C]154.55[/C][/ROW]
[ROW][C]0.09[/C][C]155.26869[/C][C]155.2776[/C][C]155.337[/C][C]155.337[/C][C]155.38628[/C][C]155.238[/C][C]155.2974[/C][C]155.238[/C][/ROW]
[ROW][C]0.1[/C][C]155.5386[/C][C]155.561[/C][C]155.561[/C][C]155.561[/C][C]156.8114[/C][C]155.561[/C][C]155.561[/C][C]155.561[/C][/ROW]
[ROW][C]0.11[/C][C]157.39252[/C][C]157.4528[/C][C]157.672[/C][C]157.672[/C][C]158.40198[/C][C]157.124[/C][C]157.3432[/C][C]157.672[/C][/ROW]
[ROW][C]0.12[/C][C]159.61388[/C][C]159.6452[/C][C]159.854[/C][C]159.854[/C][C]159.84356[/C][C]159.593[/C][C]159.8018[/C][C]159.593[/C][/ROW]
[ROW][C]0.13[/C][C]160.99903[/C][C]161.2212[/C][C]161.563[/C][C]161.563[/C][C]162.06358[/C][C]161.563[/C][C]160.1958[/C][C]161.563[/C][/ROW]
[ROW][C]0.14[/C][C]162.90418[/C][C]163.1272[/C][C]164.083[/C][C]164.083[/C][C]164.13256[/C][C]162.49[/C][C]163.4458[/C][C]162.49[/C][/ROW]
[ROW][C]0.15[/C][C]164.43405[/C][C]164.496[/C][C]164.496[/C][C]164.496[/C][C]164.8656[/C][C]164.496[/C][C]164.496[/C][C]164.496[/C][/ROW]
[ROW][C]0.16[/C][C]165.44112[/C][C]165.5928[/C][C]165.972[/C][C]165.972[/C][C]166.88872[/C][C]165.024[/C][C]165.4032[/C][C]165.972[/C][/ROW]
[ROW][C]0.17[/C][C]169.2499[/C][C]169.272[/C][C]169.376[/C][C]169.376[/C][C]169.3578[/C][C]169.246[/C][C]169.35[/C][C]169.246[/C][/ROW]
[ROW][C]0.18[/C][C]169.76226[/C][C]169.8744[/C][C]169.999[/C][C]169.999[/C][C]171.11308[/C][C]169.999[/C][C]169.5006[/C][C]169.999[/C][/ROW]
[ROW][C]0.19[/C][C]172.82731[/C][C]173.0954[/C][C]173.942[/C][C]173.942[/C][C]173.94882[/C][C]172.531[/C][C]173.3776[/C][C]172.531[/C][/ROW]
[ROW][C]0.2[/C][C]174.2148[/C][C]174.283[/C][C]174.283[/C][C]174.283[/C][C]174.3772[/C][C]174.283[/C][C]174.283[/C][C]174.283[/C][/ROW]
[ROW][C]0.21[/C][C]174.46301[/C][C]174.4754[/C][C]174.499[/C][C]174.499[/C][C]174.50224[/C][C]174.44[/C][C]174.4636[/C][C]174.499[/C][/ROW]
[ROW][C]0.22[/C][C]174.51664[/C][C]174.5636[/C][C]174.517[/C][C]174.517[/C][C]174.69408[/C][C]174.517[/C][C]174.7034[/C][C]174.517[/C][/ROW]
[ROW][C]0.23[/C][C]175.50867[/C][C]175.8148[/C][C]176.081[/C][C]176.081[/C][C]176.21292[/C][C]176.081[/C][C]175.0162[/C][C]176.081[/C][/ROW]
[ROW][C]0.24[/C][C]177.20964[/C][C]178.3206[/C][C]181.098[/C][C]181.098[/C][C]180.72768[/C][C]176.469[/C][C]179.2464[/C][C]176.469[/C][/ROW]
[ROW][C]0.25[/C][C]182.403[/C][C]182.838[/C][C]182.838[/C][C]182.838[/C][C]182.9835[/C][C]182.838[/C][C]182.838[/C][C]182.838[/C][/ROW]
[ROW][C]0.26[/C][C]183.58732[/C][C]183.9378[/C][C]184.477[/C][C]184.477[/C][C]184.6306[/C][C]183.129[/C][C]183.6682[/C][C]184.477[/C][/ROW]
[ROW][C]0.27[/C][C]186.2626[/C][C]186.4336[/C][C]186.397[/C][C]186.397[/C][C]186.51778[/C][C]186.397[/C][C]186.5434[/C][C]186.397[/C][/ROW]
[ROW][C]0.28[/C][C]186.88056[/C][C]187.0424[/C][C]187.158[/C][C]187.158[/C][C]187.18872[/C][C]187.158[/C][C]186.6956[/C][C]187.158[/C][/ROW]
[ROW][C]0.29[/C][C]187.33671[/C][C]187.4704[/C][C]187.747[/C][C]187.747[/C][C]187.66402[/C][C]187.286[/C][C]187.5626[/C][C]187.286[/C][/ROW]
[ROW][C]0.3[/C][C]188.0739[/C][C]188.214[/C][C]188.214[/C][C]188.214[/C][C]188.8424[/C][C]188.214[/C][C]188.214[/C][C]188.214[/C][/ROW]
[ROW][C]0.31[/C][C]190.8609[/C][C]192.011[/C][C]193.495[/C][C]193.495[/C][C]193.4208[/C][C]189.785[/C][C]191.269[/C][C]193.495[/C][/ROW]
[ROW][C]0.32[/C][C]193.87076[/C][C]193.9568[/C][C]193.922[/C][C]193.922[/C][C]194.01944[/C][C]193.922[/C][C]194.0612[/C][C]193.922[/C][/ROW]
[ROW][C]0.33[/C][C]195.34949[/C][C]196.2296[/C][C]196.763[/C][C]196.763[/C][C]196.8687[/C][C]194.096[/C][C]194.6294[/C][C]196.763[/C][/ROW]
[ROW][C]0.34[/C][C]197.61628[/C][C]198.1732[/C][C]199.156[/C][C]199.156[/C][C]198.69736[/C][C]197.518[/C][C]198.5008[/C][C]197.518[/C][/ROW]
[ROW][C]0.35[/C][C]199.20215[/C][C]199.227[/C][C]199.227[/C][C]199.227[/C][C]200.4132[/C][C]199.227[/C][C]199.227[/C][C]199.227[/C][/ROW]
[ROW][C]0.36[/C][C]203.20572[/C][C]203.2428[/C][C]203.284[/C][C]203.284[/C][C]203.27164[/C][C]203.181[/C][C]203.2222[/C][C]203.284[/C][/ROW]
[ROW][C]0.37[/C][C]203.96709[/C][C]204.3292[/C][C]204.107[/C][C]204.107[/C][C]204.61806[/C][C]204.107[/C][C]204.9958[/C][C]204.107[/C][/ROW]
[ROW][C]0.38[/C][C]205.46832[/C][C]205.6948[/C][C]205.814[/C][C]205.814[/C][C]205.84008[/C][C]205.218[/C][C]205.3372[/C][C]205.814[/C][/ROW]
[ROW][C]0.39[/C][C]206.49598[/C][C]207.6652[/C][C]209.464[/C][C]209.464[/C][C]208.32476[/C][C]206.466[/C][C]208.2648[/C][C]206.466[/C][/ROW]
[ROW][C]0.4[/C][C]210.94[/C][C]211.924[/C][C]211.924[/C][C]211.924[/C][C]212.0236[/C][C]211.924[/C][C]211.924[/C][C]211.924[/C][/ROW]
[ROW][C]0.41[/C][C]212.53543[/C][C]212.7802[/C][C]213.019[/C][C]213.019[/C][C]212.88766[/C][C]212.422[/C][C]212.6608[/C][C]213.019[/C][/ROW]
[ROW][C]0.42[/C][C]213.27796[/C][C]213.6844[/C][C]213.351[/C][C]213.351[/C][C]213.95112[/C][C]213.351[/C][C]214.6846[/C][C]213.351[/C][/ROW]
[ROW][C]0.43[/C][C]215.94004[/C][C]217.0116[/C][C]217.51[/C][C]217.51[/C][C]217.36048[/C][C]215.018[/C][C]215.5164[/C][C]217.51[/C][/ROW]
[ROW][C]0.44[/C][C]217.70584[/C][C]217.7328[/C][C]217.714[/C][C]217.714[/C][C]217.73844[/C][C]217.714[/C][C]217.7422[/C][C]217.714[/C][/ROW]
[ROW][C]0.45[/C][C]218.50735[/C][C]219.118[/C][C]219.118[/C][C]219.118[/C][C]219.1591[/C][C]219.118[/C][C]219.118[/C][C]219.118[/C][/ROW]
[ROW][C]0.46[/C][C]219.64534[/C][C]220.0276[/C][C]220.36[/C][C]220.36[/C][C]220.09408[/C][C]219.529[/C][C]219.8614[/C][C]220.36[/C][/ROW]
[ROW][C]0.47[/C][C]221.37762[/C][C]222.6752[/C][C]221.754[/C][C]221.754[/C][C]222.95156[/C][C]221.754[/C][C]225.4388[/C][C]221.754[/C][/ROW]
[ROW][C]0.48[/C][C]226.73312[/C][C]227.2928[/C][C]227.526[/C][C]227.526[/C][C]227.33944[/C][C]226.36[/C][C]226.5932[/C][C]227.526[/C][/ROW]
[ROW][C]0.49[/C][C]227.63065[/C][C]227.6454[/C][C]227.641[/C][C]227.641[/C][C]227.64562[/C][C]227.641[/C][C]227.6476[/C][C]227.641[/C][/ROW]
[ROW][C]0.5[/C][C]227.779[/C][C]227.906[/C][C]227.906[/C][C]227.906[/C][C]227.906[/C][C]227.906[/C][C]227.906[/C][C]227.906[/C][/ROW]
[ROW][C]0.51[/C][C]228.88528[/C][C]229.0342[/C][C]229.151[/C][C]229.151[/C][C]229.02836[/C][C]228.859[/C][C]228.9758[/C][C]229.151[/C][/ROW]
[ROW][C]0.52[/C][C]229.96156[/C][C]230.3746[/C][C]230.343[/C][C]230.343[/C][C]230.36828[/C][C]230.343[/C][C]230.4694[/C][C]230.343[/C][/ROW]
[ROW][C]0.53[/C][C]230.61305[/C][C]230.833[/C][C]230.916[/C][C]230.916[/C][C]230.8081[/C][C]230.501[/C][C]230.584[/C][C]230.916[/C][/ROW]
[ROW][C]0.54[/C][C]232.76328[/C][C]233.6024[/C][C]233.064[/C][C]233.064[/C][C]233.49472[/C][C]233.064[/C][C]233.8716[/C][C]233.064[/C][/ROW]
[ROW][C]0.55[/C][C]234.7835[/C][C]235.24[/C][C]235.24[/C][C]235.24[/C][C]235.157[/C][C]234.41[/C][C]235.24[/C][C]235.24[/C][/ROW]
[ROW][C]0.56[/C][C]235.75264[/C][C]236.6856[/C][C]237.352[/C][C]237.352[/C][C]236.48568[/C][C]235.686[/C][C]236.3524[/C][C]237.352[/C][/ROW]
[ROW][C]0.57[/C][C]237.50068[/C][C]237.7328[/C][C]237.588[/C][C]237.588[/C][C]237.63144[/C][C]237.588[/C][C]238.1672[/C][C]237.588[/C][/ROW]
[ROW][C]0.58[/C][C]238.52188[/C][C]239.0752[/C][C]239.266[/C][C]239.266[/C][C]238.92256[/C][C]238.312[/C][C]238.5028[/C][C]239.266[/C][/ROW]
[ROW][C]0.59[/C][C]239.63131[/C][C]239.905[/C][C]239.717[/C][C]239.717[/C][C]239.8204[/C][C]239.717[/C][C]239.999[/C][C]239.717[/C][/ROW]
[ROW][C]0.6[/C][C]240.3362[/C][C]240.56[/C][C]240.56[/C][C]240.56[/C][C]240.4854[/C][C]240.187[/C][C]240.56[/C][C]240.56[/C][/ROW]
[ROW][C]0.61[/C][C]240.79958[/C][C]240.8596[/C][C]240.802[/C][C]240.802[/C][C]240.83848[/C][C]240.802[/C][C]240.8404[/C][C]240.898[/C][/ROW]
[ROW][C]0.62[/C][C]241.26398[/C][C]241.5776[/C][C]241.529[/C][C]241.529[/C][C]241.50376[/C][C]241.529[/C][C]241.7234[/C][C]241.529[/C][/ROW]
[ROW][C]0.63[/C][C]242.24443[/C][C]243.9952[/C][C]244.551[/C][C]244.551[/C][C]243.27266[/C][C]241.772[/C][C]242.3278[/C][C]244.551[/C][/ROW]
[ROW][C]0.64[/C][C]247.2148[/C][C]248.1436[/C][C]248.056[/C][C]248.056[/C][C]248.08228[/C][C]248.056[/C][C]248.1874[/C][C]248.056[/C][/ROW]
[ROW][C]0.65[/C][C]248.52315[/C][C]248.984[/C][C]248.984[/C][C]248.984[/C][C]248.7713[/C][C]248.275[/C][C]248.984[/C][C]248.984[/C][/ROW]
[ROW][C]0.66[/C][C]249.24908[/C][C]249.509[/C][C]249.266[/C][C]249.266[/C][C]249.3794[/C][C]249.266[/C][C]249.428[/C][C]249.671[/C][/ROW]
[ROW][C]0.67[/C][C]249.6763[/C][C]249.7924[/C][C]249.681[/C][C]249.681[/C][C]249.6796[/C][C]249.681[/C][C]250.1266[/C][C]249.681[/C][/ROW]
[ROW][C]0.68[/C][C]250.26188[/C][C]250.3972[/C][C]250.437[/C][C]250.437[/C][C]250.32556[/C][C]250.238[/C][C]250.2778[/C][C]250.437[/C][/ROW]
[ROW][C]0.69[/C][C]250.43842[/C][C]251.8502[/C][C]250.439[/C][C]250.439[/C][C]250.50956[/C][C]250.439[/C][C]252.5558[/C][C]250.439[/C][/ROW]
[ROW][C]0.7[/C][C]254.0051[/C][C]254.094[/C][C]254.094[/C][C]254.094[/C][C]254.0432[/C][C]253.967[/C][C]254.094[/C][C]254.094[/C][/ROW]
[ROW][C]0.71[/C][C]258.88131[/C][C]260.046[/C][C]259.473[/C][C]259.473[/C][C]259.6449[/C][C]259.473[/C][C]259.855[/C][C]260.428[/C][/ROW]
[ROW][C]0.72[/C][C]261.32512[/C][C]262.3334[/C][C]262.297[/C][C]262.297[/C][C]261.84844[/C][C]260.428[/C][C]262.4426[/C][C]262.297[/C][/ROW]
[ROW][C]0.73[/C][C]262.71469[/C][C]265.1726[/C][C]265.846[/C][C]265.846[/C][C]263.62378[/C][C]262.479[/C][C]263.1524[/C][C]265.846[/C][/ROW]
[ROW][C]0.74[/C][C]266.27434[/C][C]267.4434[/C][C]266.495[/C][C]266.495[/C][C]266.44308[/C][C]266.495[/C][C]267.9176[/C][C]266.495[/C][/ROW]
[ROW][C]0.75[/C][C]269.387[/C][C]270.95[/C][C]270.95[/C][C]270.95[/C][C]269.908[/C][C]268.866[/C][C]270.95[/C][C]270.95[/C][/ROW]
[ROW][C]0.76[/C][C]272.85008[/C][C]273.9926[/C][C]273.212[/C][C]273.212[/C][C]273.31608[/C][C]273.212[/C][C]273.7324[/C][C]274.513[/C][/ROW]
[ROW][C]0.77[/C][C]275.41643[/C][C]276.7648[/C][C]276.614[/C][C]276.614[/C][C]275.89966[/C][C]274.513[/C][C]277.2172[/C][C]276.614[/C][/ROW]
[ROW][C]0.78[/C][C]277.38586[/C][C]278.0824[/C][C]278.261[/C][C]278.261[/C][C]277.58232[/C][C]277.368[/C][C]277.5466[/C][C]278.261[/C][/ROW]
[ROW][C]0.79[/C][C]280.50641[/C][C]282.4928[/C][C]281.942[/C][C]281.942[/C][C]281.27942[/C][C]281.942[/C][C]282.7682[/C][C]281.942[/C][/ROW]
[ROW][C]0.8[/C][C]284.503[/C][C]289.239[/C][C]289.239[/C][C]289.239[/C][C]285.687[/C][C]283.319[/C][C]289.239[/C][C]289.239[/C][/ROW]
[ROW][C]0.81[/C][C]293.16214[/C][C]294.334[/C][C]294.205[/C][C]294.205[/C][C]294.10568[/C][C]294.205[/C][C]294.291[/C][C]294.42[/C][/ROW]
[ROW][C]0.82[/C][C]296.04298[/C][C]299.2386[/C][C]298.691[/C][C]298.691[/C][C]296.81176[/C][C]294.42[/C][C]300.8814[/C][C]298.691[/C][/ROW]
[ROW][C]0.83[/C][C]301.34686[/C][C]304.2946[/C][C]301.429[/C][C]301.429[/C][C]301.93048[/C][C]301.429[/C][C]302.1454[/C][C]305.011[/C][/ROW]
[ROW][C]0.84[/C][C]306.51012[/C][C]308.7452[/C][C]307.688[/C][C]307.688[/C][C]306.93844[/C][C]307.688[/C][C]309.2738[/C][C]307.688[/C][/ROW]
[ROW][C]0.85[/C][C]311.87975[/C][C]320.656[/C][C]320.656[/C][C]320.656[/C][C]313.4285[/C][C]310.331[/C][C]320.656[/C][C]320.656[/C][/ROW]
[ROW][C]0.86[/C][C]325.10044[/C][C]339.577[/C][C]326.662[/C][C]326.662[/C][C]325.94128[/C][C]326.662[/C][C]335.272[/C][C]348.187[/C][/ROW]
[ROW][C]0.87[/C][C]351.07483[/C][C]357.7542[/C][C]356.938[/C][C]356.938[/C][C]352.21246[/C][C]348.187[/C][C]360.2028[/C][C]356.938[/C][/ROW]
[ROW][C]0.88[/C][C]360.69252[/C][C]361.4126[/C][C]361.019[/C][C]361.019[/C][C]361.03868[/C][C]361.019[/C][C]361.1174[/C][C]361.511[/C][/ROW]
[ROW][C]0.89[/C][C]363.12974[/C][C]368.2702[/C][C]364.685[/C][C]364.685[/C][C]363.47888[/C][C]364.685[/C][C]370.0628[/C][C]364.685[/C][/ROW]
[ROW][C]0.9[/C][C]374.5019[/C][C]382.187[/C][C]382.187[/C][C]382.187[/C][C]375.3558[/C][C]373.648[/C][C]382.187[/C][C]382.187[/C][/ROW]
[ROW][C]0.91[/C][C]388.02095[/C][C]391.773[/C][C]390.642[/C][C]390.642[/C][C]388.7819[/C][C]390.642[/C][C]391.396[/C][C]392.527[/C][/ROW]
[ROW][C]0.92[/C][C]393.11248[/C][C]400.1564[/C][C]394.618[/C][C]394.618[/C][C]393.27976[/C][C]392.527[/C][C]416.7716[/C][C]394.618[/C][/ROW]
[ROW][C]0.93[/C][C]418.71004[/C][C]440.7236[/C][C]422.31[/C][C]422.31[/C][C]420.64848[/C][C]422.31[/C][C]426.9134[/C][C]445.327[/C][/ROW]
[ROW][C]0.94[/C][C]457.06712[/C][C]477.2226[/C][C]470.849[/C][C]470.849[/C][C]458.59844[/C][C]445.327[/C][C]480.4094[/C][C]470.849[/C][/ROW]
[ROW][C]0.95[/C][C]487.761[/C][C]506.343[/C][C]506.343[/C][C]506.343[/C][C]488.739[/C][C]486.783[/C][C]506.343[/C][C]506.343[/C][/ROW]
[ROW][C]0.96[/C][C]510.56316[/C][C]539.6064[/C][C]512.937[/C][C]512.937[/C][C]510.82692[/C][C]512.937[/C][C]530.7166[/C][C]557.386[/C][/ROW]
[ROW][C]0.97[/C][C]597.51824[/C][C]734.6932[/C][C]731.874[/C][C]731.874[/C][C]602.75288[/C][C]557.386[/C][C]743.1508[/C][C]731.874[/C][/ROW]
[ROW][C]0.98[/C][C]743.43272[/C][C]1011.1252[/C][C]745.97[/C][C]745.97[/C][C]743.71464[/C][C]745.97[/C][C]812.2588[/C][C]1077.414[/C][/ROW]
[ROW][C]0.99[/C][C]1473.07917[/C][C]3202.1238[/C][C]2042.451[/C][C]2042.451[/C][C]1482.72954[/C][C]1077.414[/C][C]3781.9602[/C][C]2042.451[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107575&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107575&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)
0.0168.2175268.415876.34776.34796.020676.34764.450276.347
0.02110.4326110.451111.187111.187114.80892110.267111.003110.267
0.03128.61749129.2966133.824133.824136.11578133.824115.7144133.824
0.04137.6464137.727138.936138.936140.39488136.921138.13136.921
0.05143.26705143.495143.495143.495148.6466143.495143.495143.495
0.06150.3368150.461151.289151.289152.1218151.289150.047151.289
0.07153.21094153.3116154.462154.462154.46728153.024154.1744153.024
0.08154.52536154.5324154.55154.55154.99032154.55154.4796154.55
0.09155.26869155.2776155.337155.337155.38628155.238155.2974155.238
0.1155.5386155.561155.561155.561156.8114155.561155.561155.561
0.11157.39252157.4528157.672157.672158.40198157.124157.3432157.672
0.12159.61388159.6452159.854159.854159.84356159.593159.8018159.593
0.13160.99903161.2212161.563161.563162.06358161.563160.1958161.563
0.14162.90418163.1272164.083164.083164.13256162.49163.4458162.49
0.15164.43405164.496164.496164.496164.8656164.496164.496164.496
0.16165.44112165.5928165.972165.972166.88872165.024165.4032165.972
0.17169.2499169.272169.376169.376169.3578169.246169.35169.246
0.18169.76226169.8744169.999169.999171.11308169.999169.5006169.999
0.19172.82731173.0954173.942173.942173.94882172.531173.3776172.531
0.2174.2148174.283174.283174.283174.3772174.283174.283174.283
0.21174.46301174.4754174.499174.499174.50224174.44174.4636174.499
0.22174.51664174.5636174.517174.517174.69408174.517174.7034174.517
0.23175.50867175.8148176.081176.081176.21292176.081175.0162176.081
0.24177.20964178.3206181.098181.098180.72768176.469179.2464176.469
0.25182.403182.838182.838182.838182.9835182.838182.838182.838
0.26183.58732183.9378184.477184.477184.6306183.129183.6682184.477
0.27186.2626186.4336186.397186.397186.51778186.397186.5434186.397
0.28186.88056187.0424187.158187.158187.18872187.158186.6956187.158
0.29187.33671187.4704187.747187.747187.66402187.286187.5626187.286
0.3188.0739188.214188.214188.214188.8424188.214188.214188.214
0.31190.8609192.011193.495193.495193.4208189.785191.269193.495
0.32193.87076193.9568193.922193.922194.01944193.922194.0612193.922
0.33195.34949196.2296196.763196.763196.8687194.096194.6294196.763
0.34197.61628198.1732199.156199.156198.69736197.518198.5008197.518
0.35199.20215199.227199.227199.227200.4132199.227199.227199.227
0.36203.20572203.2428203.284203.284203.27164203.181203.2222203.284
0.37203.96709204.3292204.107204.107204.61806204.107204.9958204.107
0.38205.46832205.6948205.814205.814205.84008205.218205.3372205.814
0.39206.49598207.6652209.464209.464208.32476206.466208.2648206.466
0.4210.94211.924211.924211.924212.0236211.924211.924211.924
0.41212.53543212.7802213.019213.019212.88766212.422212.6608213.019
0.42213.27796213.6844213.351213.351213.95112213.351214.6846213.351
0.43215.94004217.0116217.51217.51217.36048215.018215.5164217.51
0.44217.70584217.7328217.714217.714217.73844217.714217.7422217.714
0.45218.50735219.118219.118219.118219.1591219.118219.118219.118
0.46219.64534220.0276220.36220.36220.09408219.529219.8614220.36
0.47221.37762222.6752221.754221.754222.95156221.754225.4388221.754
0.48226.73312227.2928227.526227.526227.33944226.36226.5932227.526
0.49227.63065227.6454227.641227.641227.64562227.641227.6476227.641
0.5227.779227.906227.906227.906227.906227.906227.906227.906
0.51228.88528229.0342229.151229.151229.02836228.859228.9758229.151
0.52229.96156230.3746230.343230.343230.36828230.343230.4694230.343
0.53230.61305230.833230.916230.916230.8081230.501230.584230.916
0.54232.76328233.6024233.064233.064233.49472233.064233.8716233.064
0.55234.7835235.24235.24235.24235.157234.41235.24235.24
0.56235.75264236.6856237.352237.352236.48568235.686236.3524237.352
0.57237.50068237.7328237.588237.588237.63144237.588238.1672237.588
0.58238.52188239.0752239.266239.266238.92256238.312238.5028239.266
0.59239.63131239.905239.717239.717239.8204239.717239.999239.717
0.6240.3362240.56240.56240.56240.4854240.187240.56240.56
0.61240.79958240.8596240.802240.802240.83848240.802240.8404240.898
0.62241.26398241.5776241.529241.529241.50376241.529241.7234241.529
0.63242.24443243.9952244.551244.551243.27266241.772242.3278244.551
0.64247.2148248.1436248.056248.056248.08228248.056248.1874248.056
0.65248.52315248.984248.984248.984248.7713248.275248.984248.984
0.66249.24908249.509249.266249.266249.3794249.266249.428249.671
0.67249.6763249.7924249.681249.681249.6796249.681250.1266249.681
0.68250.26188250.3972250.437250.437250.32556250.238250.2778250.437
0.69250.43842251.8502250.439250.439250.50956250.439252.5558250.439
0.7254.0051254.094254.094254.094254.0432253.967254.094254.094
0.71258.88131260.046259.473259.473259.6449259.473259.855260.428
0.72261.32512262.3334262.297262.297261.84844260.428262.4426262.297
0.73262.71469265.1726265.846265.846263.62378262.479263.1524265.846
0.74266.27434267.4434266.495266.495266.44308266.495267.9176266.495
0.75269.387270.95270.95270.95269.908268.866270.95270.95
0.76272.85008273.9926273.212273.212273.31608273.212273.7324274.513
0.77275.41643276.7648276.614276.614275.89966274.513277.2172276.614
0.78277.38586278.0824278.261278.261277.58232277.368277.5466278.261
0.79280.50641282.4928281.942281.942281.27942281.942282.7682281.942
0.8284.503289.239289.239289.239285.687283.319289.239289.239
0.81293.16214294.334294.205294.205294.10568294.205294.291294.42
0.82296.04298299.2386298.691298.691296.81176294.42300.8814298.691
0.83301.34686304.2946301.429301.429301.93048301.429302.1454305.011
0.84306.51012308.7452307.688307.688306.93844307.688309.2738307.688
0.85311.87975320.656320.656320.656313.4285310.331320.656320.656
0.86325.10044339.577326.662326.662325.94128326.662335.272348.187
0.87351.07483357.7542356.938356.938352.21246348.187360.2028356.938
0.88360.69252361.4126361.019361.019361.03868361.019361.1174361.511
0.89363.12974368.2702364.685364.685363.47888364.685370.0628364.685
0.9374.5019382.187382.187382.187375.3558373.648382.187382.187
0.91388.02095391.773390.642390.642388.7819390.642391.396392.527
0.92393.11248400.1564394.618394.618393.27976392.527416.7716394.618
0.93418.71004440.7236422.31422.31420.64848422.31426.9134445.327
0.94457.06712477.2226470.849470.849458.59844445.327480.4094470.849
0.95487.761506.343506.343506.343488.739486.783506.343506.343
0.96510.56316539.6064512.937512.937510.82692512.937530.7166557.386
0.97597.51824734.6932731.874731.874602.75288557.386743.1508731.874
0.98743.432721011.1252745.97745.97743.71464745.97812.25881077.414
0.991473.079173202.12382042.4512042.4511482.729541077.4143781.96022042.451


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')