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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 computationThu, 11 Dec 2014 13:24:58 +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/2014/Dec/11/t1418304385pwoy4m9gmcuua3q.htm/, Retrieved Thu, 16 May 2024 17:27:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=265969, Retrieved Thu, 16 May 2024 17:27:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact71

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Percentiles] [] [2014-12-11 13:24:58] [61a57b1a717662ce9f6e819e563a5fa9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-2,69851
-2,53318
-6,17584
-7,04438
-2,46002
0,74635
0,787212
-2,31513
-7,56524
-2,76841
-7,21386
-3,31049
-3,82563
-1,86081
-2,39403
-4,28386
-2,22274
0,316469
-6,02733
-1,54076
-4,73118
1,08103
-3,85327
-2,62979
-3,67269
-3,06931
-3,82911
-1,12001
-2,42311
-1,43772
-2,14123
-0,947899
-3,04794
0,3515
-3,76347
-1,86207
-3,09792
-3,15516
-0,0127557
-2,54049
2,02257
-5,37986
-2,00675
-3,53367
-6,10583
0,12091
-3,9313
0,450524
-1,50542
-1,52302
-1,69321
-4,66891
-3,85003
-3,01082
-8,32756
-4,47066
-0,883644
-7,59884
-5,00696
-5,91646
-4,61467
-5,87479
-3,19891
-6,87894
1,47104
4,57
3,90728
1,14029
0,517811
0,946954
3,78634
2,28596
1,47604
3,45973
4,82724
-1,35304
0,325215
3,02915
1,17065
4,44238
1,4884
1,63268
1,34744
3,10905
3,04681
0,728996
0,945079
4,02312
-1,51429
4,1634
2,74636
0,613409
3,64759
3,28072
5,23891
1,54508
2,29677
0,36388
0,81668
0,981579
3,47923
-3,97455
3,09886
3,7498
1,01573
1,6326
0,443042
3,81007
2,30851
-1,19901
-1,99658
2,67408
2,94967
1,40093
6,50769
2,81964
-0,171326
3,51299
1,57988
0,51166
-2,16827
2,00731
3,51136
0,00015985
0,723627
0,847418
4,48718
0,143973
4,71786
0,103599
-2,39781
-0,606962
-0,660085
5,13547
1,17196
-1,34444
1,06218
2,74099
-1,37454
-2,41339
1,11692
-2,13201
3,03941
-2,9891
4,117
-0,10323
0,98465
0,36981
1,01326
1,74282
1,30285
1,32803
0,372907
-0,205052
0,855059
1,17509
1,36558
-0,0471433
0,276048
6,60367
4,76594
-0,723098
1,51025
-0,169906
0,962535
2,01205
0,584716
2,53293
3,43196
-0,729644
0,204427
4,23718
-4,06601
-0,978479
3,84761
4,39021
3,12719
2,6855
2,80707
5,57272
4,57797
4,65361
4,85743
0,460911
-1,10383
-1,79037
-6,36777
0,406203
1,51829
-0,174336
-0,409901
-0,211111
-0,790076
1,18811
3,82054
-2,16287
1,50034
1,72225
1,70278
2,42141
0,620319
-1,352
-0,139206
1,44153
1,94613
-0,426368
1,76944
-4,26695
-4,16414
-0,633899
-6,11742
-1,44251
-1,13242
-2,91873
1,53626
2,30384
0,773567
-0,560336
2,2155
2,44875
-1,21166
1,39351
-0,305464
2,50806
2,72297
1,56712
0,0723753
2,37872
-1,70445

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265969&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265969&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265969&T=0

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


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.wessa.net






Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.01-7.589096-7.58876-7.56524-7.56524-7.466854-7.59884-7.57532-7.59884
0.02-7.115562-7.112172-7.04438-7.04438-6.951734-7.04438-7.146068-7.04438
0.03-6.434222-6.418887-6.36777-6.36777-6.206549-6.36777-6.827823-6.36777
0.04-6.115566-6.115102-6.10583-6.10583-6.09641-6.11742-6.108148-6.11742
0.05-5.977438-5.971895-5.91646-5.91646-5.899792-6.02733-5.971895-5.971895
0.06-5.508542-5.478846-5.37986-5.37986-5.126288-5.37986-5.775804-5.37986
0.07-4.729312-4.724953-4.66891-4.66891-4.671401-4.73118-4.675137-4.73118
0.08-4.568587-4.557066-4.47066-4.47066-4.425828-4.61467-4.528264-4.61467
0.09-4.273545-4.272023-4.26695-4.26695-4.213489-4.26695-4.278787-4.26695
0.1-4.075823-4.06601-4.06601-4.06601-3.992842-4.06601-4.06601-4.06601
0.11-3.916474-3.907891-3.85327-3.85327-3.853011-3.9313-3.876679-3.9313
0.12-3.839988-3.837478-3.82911-3.82911-3.827857-3.85003-3.841662-3.82911
0.13-3.777767-3.769686-3.76347-3.76347-3.705371-3.76347-3.819414-3.76347
0.14-3.520279-3.489034-3.31049-3.31049-3.328344-3.53367-3.355126-3.53367
0.15-3.183598-3.177035-3.15516-3.15516-3.143712-3.19891-3.177035-3.177035
0.16-3.07961-3.075032-3.06931-3.06931-3.059052-3.06931-3.092198-3.06931
0.17-3.013418-3.008648-3.01082-3.01082-2.994313-3.01082-2.991272-3.01082
0.18-2.88566-2.858602-2.76841-2.76841-2.765614-2.91873-2.828538-2.91873
0.19-2.663463-2.650406-2.62979-2.62979-2.601214-2.62979-2.677894-2.62979
0.2-2.534642-2.53318-2.53318-2.53318-2.489284-2.53318-2.53318-2.53318
0.21-2.422235-2.420194-2.41339-2.41339-2.414556-2.42311-2.416306-2.42311
0.22-2.396374-2.395542-2.39403-2.39403-2.381406-2.39781-2.396298-2.39403
0.23-2.253229-2.231979-2.22274-2.22274-2.198773-2.22274-2.305891-2.22274
0.24-2.163086-2.158542-2.16287-2.16287-2.147289-2.16287-2.145558-2.16287
0.25-2.100695-2.06938-2.00675-2.00675-2.00675-2.13201-2.06938-2.06938
0.26-1.923945-1.888972-1.86207-1.86207-1.861717-1.86207-1.969678-1.86207
0.27-1.802345-1.781778-1.79037-1.79037-1.742255-1.79037-1.713042-1.79037
0.28-1.674916-1.63223-1.54076-1.54076-1.565152-1.69321-1.60174-1.69321
0.29-1.519441-1.516909-1.51429-1.51429-1.513226-1.52302-1.520401-1.51429
0.3-1.461383-1.44251-1.44251-1.44251-1.440594-1.44251-1.44251-1.44251
0.31-1.375172-1.36809-1.37454-1.37454-1.35992-1.37454-1.35949-1.37454
0.32-1.349883-1.347464-1.34444-1.34444-1.344742-1.352-1.348976-1.34444
0.33-1.204449-1.200275-1.19901-1.19901-1.183028-1.19901-1.210395-1.19901
0.34-1.121747-1.116774-1.12001-1.12001-1.111596-1.12001-1.107066-1.12001
0.35-0.973892-0.963189-0.947899-0.947899-0.954015-0.978479-0.963189-0.963189
0.36-0.842474-0.80879-0.790076-0.790076-0.785241-0.883644-0.86493-0.790076
0.37-0.724865-0.716797-0.723098-0.723098-0.700413-0.723098-0.666386-0.723098
0.38-0.63336-0.623124-0.606962-0.606962-0.616659-0.633899-0.617737-0.633899
0.39-0.518806-0.466558-0.426368-0.426368-0.437085-0.560336-0.520146-0.426368
0.4-0.347239-0.305464-0.305464-0.305464-0.286593-0.305464-0.305464-0.305464
0.41-0.205718-0.195837-0.205052-0.205052-0.190308-0.205052-0.183551-0.205052
0.42-0.17107-0.170474-0.169906-0.169906-0.170247-0.171326-0.170758-0.169906
0.43-0.122297-0.106828-0.10323-0.10323-0.100987-0.139206-0.135608-0.10323
0.44-0.021009-0.010173-0.012756-0.012756-0.008623-0.012756-0.002423-0.012756
0.450.0739360.0879870.1035990.1035990.091110.0723750.0879870.087987
0.460.1287510.139360.1439730.1439730.1412050.120910.1255230.143973
0.470.2495480.280090.2760480.2760480.2825150.2760480.3124270.276048
0.480.3245150.3357290.3252150.3252150.336780.3252150.3409860.325215
0.490.3651250.3680310.369810.369810.368150.363880.3656590.36981
0.50.3895550.4062030.4062030.4062030.4062030.4062030.4062030.406203
0.510.4489530.453640.4505240.4505240.4534320.4505240.4577950.450524
0.520.5121520.5153510.5178110.5178110.5151050.511660.514120.517811
0.530.5953320.610540.6134090.6134090.6088180.5847160.5875850.613409
0.540.6885020.7247010.7236270.7236270.7242710.7236270.7279220.723627
0.550.7454820.7599590.746350.746350.7572370.746350.7599580.773567
0.560.7942840.8107860.816680.816680.807250.7872120.7931060.81668
0.570.8514680.8640610.8550590.8550590.8547530.8550590.9360770.855059
0.580.9466160.9531860.9469540.9469540.9506930.9469540.9563030.946954
0.590.9819170.9837290.984650.984650.9831760.9815790.98250.98465
0.61.0142481.015731.015731.015731.0152361.013261.015731.01573
0.611.0751861.0917971.081031.081031.0839011.081031.1061531.08103
0.621.1398231.1585061.140291.140291.151221.140291.1524341.17065
0.631.1728051.1747771.175091.175091.1739631.171961.1722731.17509
0.641.2523641.3078861.302851.302851.2936711.302851.3229941.30285
0.651.3445281.356511.347441.347441.3510681.347441.356511.35651
0.661.3945491.3994461.400931.400931.3970721.393511.3949941.40093
0.671.4542191.471541.471041.471041.4639581.441531.475541.47104
0.681.4849391.4931761.48841.48841.4888781.48841.4955641.4884
0.691.510331.5158781.518291.518291.5128231.510251.5126621.51829
0.71.5389061.545081.545081.545081.5415521.536261.545081.54508
0.711.5746481.5956961.579881.579881.5783491.579881.6167841.57988
0.721.632671.674741.632681.632681.6438961.632681.660721.70278
0.731.7257471.7407631.742821.742821.7313011.722251.7243071.74282
0.741.8507171.9583661.946131.946131.8966571.769441.9950741.94613
0.752.0108652.017312.012052.012052.012052.012052.017312.01731
0.762.2183182.2718682.285962.285962.2352292.21552.2295922.28596
0.772.2991032.3043072.303842.303842.3007292.296772.3080432.30384
0.782.352042.3957962.378722.378722.3674862.378722.4043342.37872
0.792.4462892.4902672.448752.448752.4558672.448752.4665432.50806
0.82.561162.674082.674082.674082.589392.532932.674082.67408
0.812.703862.7283762.722972.722972.710982.68552.7355842.72297
0.822.7451792.7827862.746362.746362.7461452.746362.7706442.80707
0.832.8287422.9366672.949672.949672.8508472.819642.8326432.94967
0.843.0328443.040893.039413.039413.0344853.029153.045333.03941
0.853.0806433.1039553.098863.098863.088453.098863.1039553.103955
0.863.1261023.2500143.127193.127193.1394723.127193.1578963.28072
0.873.4383473.461683.459733.459733.4419573.431963.477283.45973
0.883.4959383.5120123.511363.511363.4997933.511363.5123383.51136
0.893.6220163.7191373.647593.647593.6368223.647593.6782533.7498
0.93.7887133.810073.810073.810073.7910863.786343.810073.81007
0.913.8310973.8655113.847613.847613.8335343.820543.8893793.84761
0.923.9860514.0794484.023124.023123.9953184.023124.0606724.117
0.934.1620084.2298024.16344.16344.1663514.16344.1707784.23718
0.944.4037744.451344.442384.442384.4069044.390214.478224.44238
0.954.5327314.5739854.574.574.5368724.574.5739854.573985
0.964.6415084.705014.653614.653614.6445334.653614.666464.71786
0.974.7739094.8302594.827244.827244.7757484.765944.8544114.82724
0.984.9742075.1768465.135475.135474.9797684.857435.1975345.13547
0.995.4759156.2271995.572725.572725.4792535.572725.8532116.50769

\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 & -7.589096 & -7.58876 & -7.56524 & -7.56524 & -7.466854 & -7.59884 & -7.57532 & -7.59884 \tabularnewline
0.02 & -7.115562 & -7.112172 & -7.04438 & -7.04438 & -6.951734 & -7.04438 & -7.146068 & -7.04438 \tabularnewline
0.03 & -6.434222 & -6.418887 & -6.36777 & -6.36777 & -6.206549 & -6.36777 & -6.827823 & -6.36777 \tabularnewline
0.04 & -6.115566 & -6.115102 & -6.10583 & -6.10583 & -6.09641 & -6.11742 & -6.108148 & -6.11742 \tabularnewline
0.05 & -5.977438 & -5.971895 & -5.91646 & -5.91646 & -5.899792 & -6.02733 & -5.971895 & -5.971895 \tabularnewline
0.06 & -5.508542 & -5.478846 & -5.37986 & -5.37986 & -5.126288 & -5.37986 & -5.775804 & -5.37986 \tabularnewline
0.07 & -4.729312 & -4.724953 & -4.66891 & -4.66891 & -4.671401 & -4.73118 & -4.675137 & -4.73118 \tabularnewline
0.08 & -4.568587 & -4.557066 & -4.47066 & -4.47066 & -4.425828 & -4.61467 & -4.528264 & -4.61467 \tabularnewline
0.09 & -4.273545 & -4.272023 & -4.26695 & -4.26695 & -4.213489 & -4.26695 & -4.278787 & -4.26695 \tabularnewline
0.1 & -4.075823 & -4.06601 & -4.06601 & -4.06601 & -3.992842 & -4.06601 & -4.06601 & -4.06601 \tabularnewline
0.11 & -3.916474 & -3.907891 & -3.85327 & -3.85327 & -3.853011 & -3.9313 & -3.876679 & -3.9313 \tabularnewline
0.12 & -3.839988 & -3.837478 & -3.82911 & -3.82911 & -3.827857 & -3.85003 & -3.841662 & -3.82911 \tabularnewline
0.13 & -3.777767 & -3.769686 & -3.76347 & -3.76347 & -3.705371 & -3.76347 & -3.819414 & -3.76347 \tabularnewline
0.14 & -3.520279 & -3.489034 & -3.31049 & -3.31049 & -3.328344 & -3.53367 & -3.355126 & -3.53367 \tabularnewline
0.15 & -3.183598 & -3.177035 & -3.15516 & -3.15516 & -3.143712 & -3.19891 & -3.177035 & -3.177035 \tabularnewline
0.16 & -3.07961 & -3.075032 & -3.06931 & -3.06931 & -3.059052 & -3.06931 & -3.092198 & -3.06931 \tabularnewline
0.17 & -3.013418 & -3.008648 & -3.01082 & -3.01082 & -2.994313 & -3.01082 & -2.991272 & -3.01082 \tabularnewline
0.18 & -2.88566 & -2.858602 & -2.76841 & -2.76841 & -2.765614 & -2.91873 & -2.828538 & -2.91873 \tabularnewline
0.19 & -2.663463 & -2.650406 & -2.62979 & -2.62979 & -2.601214 & -2.62979 & -2.677894 & -2.62979 \tabularnewline
0.2 & -2.534642 & -2.53318 & -2.53318 & -2.53318 & -2.489284 & -2.53318 & -2.53318 & -2.53318 \tabularnewline
0.21 & -2.422235 & -2.420194 & -2.41339 & -2.41339 & -2.414556 & -2.42311 & -2.416306 & -2.42311 \tabularnewline
0.22 & -2.396374 & -2.395542 & -2.39403 & -2.39403 & -2.381406 & -2.39781 & -2.396298 & -2.39403 \tabularnewline
0.23 & -2.253229 & -2.231979 & -2.22274 & -2.22274 & -2.198773 & -2.22274 & -2.305891 & -2.22274 \tabularnewline
0.24 & -2.163086 & -2.158542 & -2.16287 & -2.16287 & -2.147289 & -2.16287 & -2.145558 & -2.16287 \tabularnewline
0.25 & -2.100695 & -2.06938 & -2.00675 & -2.00675 & -2.00675 & -2.13201 & -2.06938 & -2.06938 \tabularnewline
0.26 & -1.923945 & -1.888972 & -1.86207 & -1.86207 & -1.861717 & -1.86207 & -1.969678 & -1.86207 \tabularnewline
0.27 & -1.802345 & -1.781778 & -1.79037 & -1.79037 & -1.742255 & -1.79037 & -1.713042 & -1.79037 \tabularnewline
0.28 & -1.674916 & -1.63223 & -1.54076 & -1.54076 & -1.565152 & -1.69321 & -1.60174 & -1.69321 \tabularnewline
0.29 & -1.519441 & -1.516909 & -1.51429 & -1.51429 & -1.513226 & -1.52302 & -1.520401 & -1.51429 \tabularnewline
0.3 & -1.461383 & -1.44251 & -1.44251 & -1.44251 & -1.440594 & -1.44251 & -1.44251 & -1.44251 \tabularnewline
0.31 & -1.375172 & -1.36809 & -1.37454 & -1.37454 & -1.35992 & -1.37454 & -1.35949 & -1.37454 \tabularnewline
0.32 & -1.349883 & -1.347464 & -1.34444 & -1.34444 & -1.344742 & -1.352 & -1.348976 & -1.34444 \tabularnewline
0.33 & -1.204449 & -1.200275 & -1.19901 & -1.19901 & -1.183028 & -1.19901 & -1.210395 & -1.19901 \tabularnewline
0.34 & -1.121747 & -1.116774 & -1.12001 & -1.12001 & -1.111596 & -1.12001 & -1.107066 & -1.12001 \tabularnewline
0.35 & -0.973892 & -0.963189 & -0.947899 & -0.947899 & -0.954015 & -0.978479 & -0.963189 & -0.963189 \tabularnewline
0.36 & -0.842474 & -0.80879 & -0.790076 & -0.790076 & -0.785241 & -0.883644 & -0.86493 & -0.790076 \tabularnewline
0.37 & -0.724865 & -0.716797 & -0.723098 & -0.723098 & -0.700413 & -0.723098 & -0.666386 & -0.723098 \tabularnewline
0.38 & -0.63336 & -0.623124 & -0.606962 & -0.606962 & -0.616659 & -0.633899 & -0.617737 & -0.633899 \tabularnewline
0.39 & -0.518806 & -0.466558 & -0.426368 & -0.426368 & -0.437085 & -0.560336 & -0.520146 & -0.426368 \tabularnewline
0.4 & -0.347239 & -0.305464 & -0.305464 & -0.305464 & -0.286593 & -0.305464 & -0.305464 & -0.305464 \tabularnewline
0.41 & -0.205718 & -0.195837 & -0.205052 & -0.205052 & -0.190308 & -0.205052 & -0.183551 & -0.205052 \tabularnewline
0.42 & -0.17107 & -0.170474 & -0.169906 & -0.169906 & -0.170247 & -0.171326 & -0.170758 & -0.169906 \tabularnewline
0.43 & -0.122297 & -0.106828 & -0.10323 & -0.10323 & -0.100987 & -0.139206 & -0.135608 & -0.10323 \tabularnewline
0.44 & -0.021009 & -0.010173 & -0.012756 & -0.012756 & -0.008623 & -0.012756 & -0.002423 & -0.012756 \tabularnewline
0.45 & 0.073936 & 0.087987 & 0.103599 & 0.103599 & 0.09111 & 0.072375 & 0.087987 & 0.087987 \tabularnewline
0.46 & 0.128751 & 0.13936 & 0.143973 & 0.143973 & 0.141205 & 0.12091 & 0.125523 & 0.143973 \tabularnewline
0.47 & 0.249548 & 0.28009 & 0.276048 & 0.276048 & 0.282515 & 0.276048 & 0.312427 & 0.276048 \tabularnewline
0.48 & 0.324515 & 0.335729 & 0.325215 & 0.325215 & 0.33678 & 0.325215 & 0.340986 & 0.325215 \tabularnewline
0.49 & 0.365125 & 0.368031 & 0.36981 & 0.36981 & 0.36815 & 0.36388 & 0.365659 & 0.36981 \tabularnewline
0.5 & 0.389555 & 0.406203 & 0.406203 & 0.406203 & 0.406203 & 0.406203 & 0.406203 & 0.406203 \tabularnewline
0.51 & 0.448953 & 0.45364 & 0.450524 & 0.450524 & 0.453432 & 0.450524 & 0.457795 & 0.450524 \tabularnewline
0.52 & 0.512152 & 0.515351 & 0.517811 & 0.517811 & 0.515105 & 0.51166 & 0.51412 & 0.517811 \tabularnewline
0.53 & 0.595332 & 0.61054 & 0.613409 & 0.613409 & 0.608818 & 0.584716 & 0.587585 & 0.613409 \tabularnewline
0.54 & 0.688502 & 0.724701 & 0.723627 & 0.723627 & 0.724271 & 0.723627 & 0.727922 & 0.723627 \tabularnewline
0.55 & 0.745482 & 0.759959 & 0.74635 & 0.74635 & 0.757237 & 0.74635 & 0.759958 & 0.773567 \tabularnewline
0.56 & 0.794284 & 0.810786 & 0.81668 & 0.81668 & 0.80725 & 0.787212 & 0.793106 & 0.81668 \tabularnewline
0.57 & 0.851468 & 0.864061 & 0.855059 & 0.855059 & 0.854753 & 0.855059 & 0.936077 & 0.855059 \tabularnewline
0.58 & 0.946616 & 0.953186 & 0.946954 & 0.946954 & 0.950693 & 0.946954 & 0.956303 & 0.946954 \tabularnewline
0.59 & 0.981917 & 0.983729 & 0.98465 & 0.98465 & 0.983176 & 0.981579 & 0.9825 & 0.98465 \tabularnewline
0.6 & 1.014248 & 1.01573 & 1.01573 & 1.01573 & 1.015236 & 1.01326 & 1.01573 & 1.01573 \tabularnewline
0.61 & 1.075186 & 1.091797 & 1.08103 & 1.08103 & 1.083901 & 1.08103 & 1.106153 & 1.08103 \tabularnewline
0.62 & 1.139823 & 1.158506 & 1.14029 & 1.14029 & 1.15122 & 1.14029 & 1.152434 & 1.17065 \tabularnewline
0.63 & 1.172805 & 1.174777 & 1.17509 & 1.17509 & 1.173963 & 1.17196 & 1.172273 & 1.17509 \tabularnewline
0.64 & 1.252364 & 1.307886 & 1.30285 & 1.30285 & 1.293671 & 1.30285 & 1.322994 & 1.30285 \tabularnewline
0.65 & 1.344528 & 1.35651 & 1.34744 & 1.34744 & 1.351068 & 1.34744 & 1.35651 & 1.35651 \tabularnewline
0.66 & 1.394549 & 1.399446 & 1.40093 & 1.40093 & 1.397072 & 1.39351 & 1.394994 & 1.40093 \tabularnewline
0.67 & 1.454219 & 1.47154 & 1.47104 & 1.47104 & 1.463958 & 1.44153 & 1.47554 & 1.47104 \tabularnewline
0.68 & 1.484939 & 1.493176 & 1.4884 & 1.4884 & 1.488878 & 1.4884 & 1.495564 & 1.4884 \tabularnewline
0.69 & 1.51033 & 1.515878 & 1.51829 & 1.51829 & 1.512823 & 1.51025 & 1.512662 & 1.51829 \tabularnewline
0.7 & 1.538906 & 1.54508 & 1.54508 & 1.54508 & 1.541552 & 1.53626 & 1.54508 & 1.54508 \tabularnewline
0.71 & 1.574648 & 1.595696 & 1.57988 & 1.57988 & 1.578349 & 1.57988 & 1.616784 & 1.57988 \tabularnewline
0.72 & 1.63267 & 1.67474 & 1.63268 & 1.63268 & 1.643896 & 1.63268 & 1.66072 & 1.70278 \tabularnewline
0.73 & 1.725747 & 1.740763 & 1.74282 & 1.74282 & 1.731301 & 1.72225 & 1.724307 & 1.74282 \tabularnewline
0.74 & 1.850717 & 1.958366 & 1.94613 & 1.94613 & 1.896657 & 1.76944 & 1.995074 & 1.94613 \tabularnewline
0.75 & 2.010865 & 2.01731 & 2.01205 & 2.01205 & 2.01205 & 2.01205 & 2.01731 & 2.01731 \tabularnewline
0.76 & 2.218318 & 2.271868 & 2.28596 & 2.28596 & 2.235229 & 2.2155 & 2.229592 & 2.28596 \tabularnewline
0.77 & 2.299103 & 2.304307 & 2.30384 & 2.30384 & 2.300729 & 2.29677 & 2.308043 & 2.30384 \tabularnewline
0.78 & 2.35204 & 2.395796 & 2.37872 & 2.37872 & 2.367486 & 2.37872 & 2.404334 & 2.37872 \tabularnewline
0.79 & 2.446289 & 2.490267 & 2.44875 & 2.44875 & 2.455867 & 2.44875 & 2.466543 & 2.50806 \tabularnewline
0.8 & 2.56116 & 2.67408 & 2.67408 & 2.67408 & 2.58939 & 2.53293 & 2.67408 & 2.67408 \tabularnewline
0.81 & 2.70386 & 2.728376 & 2.72297 & 2.72297 & 2.71098 & 2.6855 & 2.735584 & 2.72297 \tabularnewline
0.82 & 2.745179 & 2.782786 & 2.74636 & 2.74636 & 2.746145 & 2.74636 & 2.770644 & 2.80707 \tabularnewline
0.83 & 2.828742 & 2.936667 & 2.94967 & 2.94967 & 2.850847 & 2.81964 & 2.832643 & 2.94967 \tabularnewline
0.84 & 3.032844 & 3.04089 & 3.03941 & 3.03941 & 3.034485 & 3.02915 & 3.04533 & 3.03941 \tabularnewline
0.85 & 3.080643 & 3.103955 & 3.09886 & 3.09886 & 3.08845 & 3.09886 & 3.103955 & 3.103955 \tabularnewline
0.86 & 3.126102 & 3.250014 & 3.12719 & 3.12719 & 3.139472 & 3.12719 & 3.157896 & 3.28072 \tabularnewline
0.87 & 3.438347 & 3.46168 & 3.45973 & 3.45973 & 3.441957 & 3.43196 & 3.47728 & 3.45973 \tabularnewline
0.88 & 3.495938 & 3.512012 & 3.51136 & 3.51136 & 3.499793 & 3.51136 & 3.512338 & 3.51136 \tabularnewline
0.89 & 3.622016 & 3.719137 & 3.64759 & 3.64759 & 3.636822 & 3.64759 & 3.678253 & 3.7498 \tabularnewline
0.9 & 3.788713 & 3.81007 & 3.81007 & 3.81007 & 3.791086 & 3.78634 & 3.81007 & 3.81007 \tabularnewline
0.91 & 3.831097 & 3.865511 & 3.84761 & 3.84761 & 3.833534 & 3.82054 & 3.889379 & 3.84761 \tabularnewline
0.92 & 3.986051 & 4.079448 & 4.02312 & 4.02312 & 3.995318 & 4.02312 & 4.060672 & 4.117 \tabularnewline
0.93 & 4.162008 & 4.229802 & 4.1634 & 4.1634 & 4.166351 & 4.1634 & 4.170778 & 4.23718 \tabularnewline
0.94 & 4.403774 & 4.45134 & 4.44238 & 4.44238 & 4.406904 & 4.39021 & 4.47822 & 4.44238 \tabularnewline
0.95 & 4.532731 & 4.573985 & 4.57 & 4.57 & 4.536872 & 4.57 & 4.573985 & 4.573985 \tabularnewline
0.96 & 4.641508 & 4.70501 & 4.65361 & 4.65361 & 4.644533 & 4.65361 & 4.66646 & 4.71786 \tabularnewline
0.97 & 4.773909 & 4.830259 & 4.82724 & 4.82724 & 4.775748 & 4.76594 & 4.854411 & 4.82724 \tabularnewline
0.98 & 4.974207 & 5.176846 & 5.13547 & 5.13547 & 4.979768 & 4.85743 & 5.197534 & 5.13547 \tabularnewline
0.99 & 5.475915 & 6.227199 & 5.57272 & 5.57272 & 5.479253 & 5.57272 & 5.853211 & 6.50769 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265969&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]-7.589096[/C][C]-7.58876[/C][C]-7.56524[/C][C]-7.56524[/C][C]-7.466854[/C][C]-7.59884[/C][C]-7.57532[/C][C]-7.59884[/C][/ROW]
[ROW][C]0.02[/C][C]-7.115562[/C][C]-7.112172[/C][C]-7.04438[/C][C]-7.04438[/C][C]-6.951734[/C][C]-7.04438[/C][C]-7.146068[/C][C]-7.04438[/C][/ROW]
[ROW][C]0.03[/C][C]-6.434222[/C][C]-6.418887[/C][C]-6.36777[/C][C]-6.36777[/C][C]-6.206549[/C][C]-6.36777[/C][C]-6.827823[/C][C]-6.36777[/C][/ROW]
[ROW][C]0.04[/C][C]-6.115566[/C][C]-6.115102[/C][C]-6.10583[/C][C]-6.10583[/C][C]-6.09641[/C][C]-6.11742[/C][C]-6.108148[/C][C]-6.11742[/C][/ROW]
[ROW][C]0.05[/C][C]-5.977438[/C][C]-5.971895[/C][C]-5.91646[/C][C]-5.91646[/C][C]-5.899792[/C][C]-6.02733[/C][C]-5.971895[/C][C]-5.971895[/C][/ROW]
[ROW][C]0.06[/C][C]-5.508542[/C][C]-5.478846[/C][C]-5.37986[/C][C]-5.37986[/C][C]-5.126288[/C][C]-5.37986[/C][C]-5.775804[/C][C]-5.37986[/C][/ROW]
[ROW][C]0.07[/C][C]-4.729312[/C][C]-4.724953[/C][C]-4.66891[/C][C]-4.66891[/C][C]-4.671401[/C][C]-4.73118[/C][C]-4.675137[/C][C]-4.73118[/C][/ROW]
[ROW][C]0.08[/C][C]-4.568587[/C][C]-4.557066[/C][C]-4.47066[/C][C]-4.47066[/C][C]-4.425828[/C][C]-4.61467[/C][C]-4.528264[/C][C]-4.61467[/C][/ROW]
[ROW][C]0.09[/C][C]-4.273545[/C][C]-4.272023[/C][C]-4.26695[/C][C]-4.26695[/C][C]-4.213489[/C][C]-4.26695[/C][C]-4.278787[/C][C]-4.26695[/C][/ROW]
[ROW][C]0.1[/C][C]-4.075823[/C][C]-4.06601[/C][C]-4.06601[/C][C]-4.06601[/C][C]-3.992842[/C][C]-4.06601[/C][C]-4.06601[/C][C]-4.06601[/C][/ROW]
[ROW][C]0.11[/C][C]-3.916474[/C][C]-3.907891[/C][C]-3.85327[/C][C]-3.85327[/C][C]-3.853011[/C][C]-3.9313[/C][C]-3.876679[/C][C]-3.9313[/C][/ROW]
[ROW][C]0.12[/C][C]-3.839988[/C][C]-3.837478[/C][C]-3.82911[/C][C]-3.82911[/C][C]-3.827857[/C][C]-3.85003[/C][C]-3.841662[/C][C]-3.82911[/C][/ROW]
[ROW][C]0.13[/C][C]-3.777767[/C][C]-3.769686[/C][C]-3.76347[/C][C]-3.76347[/C][C]-3.705371[/C][C]-3.76347[/C][C]-3.819414[/C][C]-3.76347[/C][/ROW]
[ROW][C]0.14[/C][C]-3.520279[/C][C]-3.489034[/C][C]-3.31049[/C][C]-3.31049[/C][C]-3.328344[/C][C]-3.53367[/C][C]-3.355126[/C][C]-3.53367[/C][/ROW]
[ROW][C]0.15[/C][C]-3.183598[/C][C]-3.177035[/C][C]-3.15516[/C][C]-3.15516[/C][C]-3.143712[/C][C]-3.19891[/C][C]-3.177035[/C][C]-3.177035[/C][/ROW]
[ROW][C]0.16[/C][C]-3.07961[/C][C]-3.075032[/C][C]-3.06931[/C][C]-3.06931[/C][C]-3.059052[/C][C]-3.06931[/C][C]-3.092198[/C][C]-3.06931[/C][/ROW]
[ROW][C]0.17[/C][C]-3.013418[/C][C]-3.008648[/C][C]-3.01082[/C][C]-3.01082[/C][C]-2.994313[/C][C]-3.01082[/C][C]-2.991272[/C][C]-3.01082[/C][/ROW]
[ROW][C]0.18[/C][C]-2.88566[/C][C]-2.858602[/C][C]-2.76841[/C][C]-2.76841[/C][C]-2.765614[/C][C]-2.91873[/C][C]-2.828538[/C][C]-2.91873[/C][/ROW]
[ROW][C]0.19[/C][C]-2.663463[/C][C]-2.650406[/C][C]-2.62979[/C][C]-2.62979[/C][C]-2.601214[/C][C]-2.62979[/C][C]-2.677894[/C][C]-2.62979[/C][/ROW]
[ROW][C]0.2[/C][C]-2.534642[/C][C]-2.53318[/C][C]-2.53318[/C][C]-2.53318[/C][C]-2.489284[/C][C]-2.53318[/C][C]-2.53318[/C][C]-2.53318[/C][/ROW]
[ROW][C]0.21[/C][C]-2.422235[/C][C]-2.420194[/C][C]-2.41339[/C][C]-2.41339[/C][C]-2.414556[/C][C]-2.42311[/C][C]-2.416306[/C][C]-2.42311[/C][/ROW]
[ROW][C]0.22[/C][C]-2.396374[/C][C]-2.395542[/C][C]-2.39403[/C][C]-2.39403[/C][C]-2.381406[/C][C]-2.39781[/C][C]-2.396298[/C][C]-2.39403[/C][/ROW]
[ROW][C]0.23[/C][C]-2.253229[/C][C]-2.231979[/C][C]-2.22274[/C][C]-2.22274[/C][C]-2.198773[/C][C]-2.22274[/C][C]-2.305891[/C][C]-2.22274[/C][/ROW]
[ROW][C]0.24[/C][C]-2.163086[/C][C]-2.158542[/C][C]-2.16287[/C][C]-2.16287[/C][C]-2.147289[/C][C]-2.16287[/C][C]-2.145558[/C][C]-2.16287[/C][/ROW]
[ROW][C]0.25[/C][C]-2.100695[/C][C]-2.06938[/C][C]-2.00675[/C][C]-2.00675[/C][C]-2.00675[/C][C]-2.13201[/C][C]-2.06938[/C][C]-2.06938[/C][/ROW]
[ROW][C]0.26[/C][C]-1.923945[/C][C]-1.888972[/C][C]-1.86207[/C][C]-1.86207[/C][C]-1.861717[/C][C]-1.86207[/C][C]-1.969678[/C][C]-1.86207[/C][/ROW]
[ROW][C]0.27[/C][C]-1.802345[/C][C]-1.781778[/C][C]-1.79037[/C][C]-1.79037[/C][C]-1.742255[/C][C]-1.79037[/C][C]-1.713042[/C][C]-1.79037[/C][/ROW]
[ROW][C]0.28[/C][C]-1.674916[/C][C]-1.63223[/C][C]-1.54076[/C][C]-1.54076[/C][C]-1.565152[/C][C]-1.69321[/C][C]-1.60174[/C][C]-1.69321[/C][/ROW]
[ROW][C]0.29[/C][C]-1.519441[/C][C]-1.516909[/C][C]-1.51429[/C][C]-1.51429[/C][C]-1.513226[/C][C]-1.52302[/C][C]-1.520401[/C][C]-1.51429[/C][/ROW]
[ROW][C]0.3[/C][C]-1.461383[/C][C]-1.44251[/C][C]-1.44251[/C][C]-1.44251[/C][C]-1.440594[/C][C]-1.44251[/C][C]-1.44251[/C][C]-1.44251[/C][/ROW]
[ROW][C]0.31[/C][C]-1.375172[/C][C]-1.36809[/C][C]-1.37454[/C][C]-1.37454[/C][C]-1.35992[/C][C]-1.37454[/C][C]-1.35949[/C][C]-1.37454[/C][/ROW]
[ROW][C]0.32[/C][C]-1.349883[/C][C]-1.347464[/C][C]-1.34444[/C][C]-1.34444[/C][C]-1.344742[/C][C]-1.352[/C][C]-1.348976[/C][C]-1.34444[/C][/ROW]
[ROW][C]0.33[/C][C]-1.204449[/C][C]-1.200275[/C][C]-1.19901[/C][C]-1.19901[/C][C]-1.183028[/C][C]-1.19901[/C][C]-1.210395[/C][C]-1.19901[/C][/ROW]
[ROW][C]0.34[/C][C]-1.121747[/C][C]-1.116774[/C][C]-1.12001[/C][C]-1.12001[/C][C]-1.111596[/C][C]-1.12001[/C][C]-1.107066[/C][C]-1.12001[/C][/ROW]
[ROW][C]0.35[/C][C]-0.973892[/C][C]-0.963189[/C][C]-0.947899[/C][C]-0.947899[/C][C]-0.954015[/C][C]-0.978479[/C][C]-0.963189[/C][C]-0.963189[/C][/ROW]
[ROW][C]0.36[/C][C]-0.842474[/C][C]-0.80879[/C][C]-0.790076[/C][C]-0.790076[/C][C]-0.785241[/C][C]-0.883644[/C][C]-0.86493[/C][C]-0.790076[/C][/ROW]
[ROW][C]0.37[/C][C]-0.724865[/C][C]-0.716797[/C][C]-0.723098[/C][C]-0.723098[/C][C]-0.700413[/C][C]-0.723098[/C][C]-0.666386[/C][C]-0.723098[/C][/ROW]
[ROW][C]0.38[/C][C]-0.63336[/C][C]-0.623124[/C][C]-0.606962[/C][C]-0.606962[/C][C]-0.616659[/C][C]-0.633899[/C][C]-0.617737[/C][C]-0.633899[/C][/ROW]
[ROW][C]0.39[/C][C]-0.518806[/C][C]-0.466558[/C][C]-0.426368[/C][C]-0.426368[/C][C]-0.437085[/C][C]-0.560336[/C][C]-0.520146[/C][C]-0.426368[/C][/ROW]
[ROW][C]0.4[/C][C]-0.347239[/C][C]-0.305464[/C][C]-0.305464[/C][C]-0.305464[/C][C]-0.286593[/C][C]-0.305464[/C][C]-0.305464[/C][C]-0.305464[/C][/ROW]
[ROW][C]0.41[/C][C]-0.205718[/C][C]-0.195837[/C][C]-0.205052[/C][C]-0.205052[/C][C]-0.190308[/C][C]-0.205052[/C][C]-0.183551[/C][C]-0.205052[/C][/ROW]
[ROW][C]0.42[/C][C]-0.17107[/C][C]-0.170474[/C][C]-0.169906[/C][C]-0.169906[/C][C]-0.170247[/C][C]-0.171326[/C][C]-0.170758[/C][C]-0.169906[/C][/ROW]
[ROW][C]0.43[/C][C]-0.122297[/C][C]-0.106828[/C][C]-0.10323[/C][C]-0.10323[/C][C]-0.100987[/C][C]-0.139206[/C][C]-0.135608[/C][C]-0.10323[/C][/ROW]
[ROW][C]0.44[/C][C]-0.021009[/C][C]-0.010173[/C][C]-0.012756[/C][C]-0.012756[/C][C]-0.008623[/C][C]-0.012756[/C][C]-0.002423[/C][C]-0.012756[/C][/ROW]
[ROW][C]0.45[/C][C]0.073936[/C][C]0.087987[/C][C]0.103599[/C][C]0.103599[/C][C]0.09111[/C][C]0.072375[/C][C]0.087987[/C][C]0.087987[/C][/ROW]
[ROW][C]0.46[/C][C]0.128751[/C][C]0.13936[/C][C]0.143973[/C][C]0.143973[/C][C]0.141205[/C][C]0.12091[/C][C]0.125523[/C][C]0.143973[/C][/ROW]
[ROW][C]0.47[/C][C]0.249548[/C][C]0.28009[/C][C]0.276048[/C][C]0.276048[/C][C]0.282515[/C][C]0.276048[/C][C]0.312427[/C][C]0.276048[/C][/ROW]
[ROW][C]0.48[/C][C]0.324515[/C][C]0.335729[/C][C]0.325215[/C][C]0.325215[/C][C]0.33678[/C][C]0.325215[/C][C]0.340986[/C][C]0.325215[/C][/ROW]
[ROW][C]0.49[/C][C]0.365125[/C][C]0.368031[/C][C]0.36981[/C][C]0.36981[/C][C]0.36815[/C][C]0.36388[/C][C]0.365659[/C][C]0.36981[/C][/ROW]
[ROW][C]0.5[/C][C]0.389555[/C][C]0.406203[/C][C]0.406203[/C][C]0.406203[/C][C]0.406203[/C][C]0.406203[/C][C]0.406203[/C][C]0.406203[/C][/ROW]
[ROW][C]0.51[/C][C]0.448953[/C][C]0.45364[/C][C]0.450524[/C][C]0.450524[/C][C]0.453432[/C][C]0.450524[/C][C]0.457795[/C][C]0.450524[/C][/ROW]
[ROW][C]0.52[/C][C]0.512152[/C][C]0.515351[/C][C]0.517811[/C][C]0.517811[/C][C]0.515105[/C][C]0.51166[/C][C]0.51412[/C][C]0.517811[/C][/ROW]
[ROW][C]0.53[/C][C]0.595332[/C][C]0.61054[/C][C]0.613409[/C][C]0.613409[/C][C]0.608818[/C][C]0.584716[/C][C]0.587585[/C][C]0.613409[/C][/ROW]
[ROW][C]0.54[/C][C]0.688502[/C][C]0.724701[/C][C]0.723627[/C][C]0.723627[/C][C]0.724271[/C][C]0.723627[/C][C]0.727922[/C][C]0.723627[/C][/ROW]
[ROW][C]0.55[/C][C]0.745482[/C][C]0.759959[/C][C]0.74635[/C][C]0.74635[/C][C]0.757237[/C][C]0.74635[/C][C]0.759958[/C][C]0.773567[/C][/ROW]
[ROW][C]0.56[/C][C]0.794284[/C][C]0.810786[/C][C]0.81668[/C][C]0.81668[/C][C]0.80725[/C][C]0.787212[/C][C]0.793106[/C][C]0.81668[/C][/ROW]
[ROW][C]0.57[/C][C]0.851468[/C][C]0.864061[/C][C]0.855059[/C][C]0.855059[/C][C]0.854753[/C][C]0.855059[/C][C]0.936077[/C][C]0.855059[/C][/ROW]
[ROW][C]0.58[/C][C]0.946616[/C][C]0.953186[/C][C]0.946954[/C][C]0.946954[/C][C]0.950693[/C][C]0.946954[/C][C]0.956303[/C][C]0.946954[/C][/ROW]
[ROW][C]0.59[/C][C]0.981917[/C][C]0.983729[/C][C]0.98465[/C][C]0.98465[/C][C]0.983176[/C][C]0.981579[/C][C]0.9825[/C][C]0.98465[/C][/ROW]
[ROW][C]0.6[/C][C]1.014248[/C][C]1.01573[/C][C]1.01573[/C][C]1.01573[/C][C]1.015236[/C][C]1.01326[/C][C]1.01573[/C][C]1.01573[/C][/ROW]
[ROW][C]0.61[/C][C]1.075186[/C][C]1.091797[/C][C]1.08103[/C][C]1.08103[/C][C]1.083901[/C][C]1.08103[/C][C]1.106153[/C][C]1.08103[/C][/ROW]
[ROW][C]0.62[/C][C]1.139823[/C][C]1.158506[/C][C]1.14029[/C][C]1.14029[/C][C]1.15122[/C][C]1.14029[/C][C]1.152434[/C][C]1.17065[/C][/ROW]
[ROW][C]0.63[/C][C]1.172805[/C][C]1.174777[/C][C]1.17509[/C][C]1.17509[/C][C]1.173963[/C][C]1.17196[/C][C]1.172273[/C][C]1.17509[/C][/ROW]
[ROW][C]0.64[/C][C]1.252364[/C][C]1.307886[/C][C]1.30285[/C][C]1.30285[/C][C]1.293671[/C][C]1.30285[/C][C]1.322994[/C][C]1.30285[/C][/ROW]
[ROW][C]0.65[/C][C]1.344528[/C][C]1.35651[/C][C]1.34744[/C][C]1.34744[/C][C]1.351068[/C][C]1.34744[/C][C]1.35651[/C][C]1.35651[/C][/ROW]
[ROW][C]0.66[/C][C]1.394549[/C][C]1.399446[/C][C]1.40093[/C][C]1.40093[/C][C]1.397072[/C][C]1.39351[/C][C]1.394994[/C][C]1.40093[/C][/ROW]
[ROW][C]0.67[/C][C]1.454219[/C][C]1.47154[/C][C]1.47104[/C][C]1.47104[/C][C]1.463958[/C][C]1.44153[/C][C]1.47554[/C][C]1.47104[/C][/ROW]
[ROW][C]0.68[/C][C]1.484939[/C][C]1.493176[/C][C]1.4884[/C][C]1.4884[/C][C]1.488878[/C][C]1.4884[/C][C]1.495564[/C][C]1.4884[/C][/ROW]
[ROW][C]0.69[/C][C]1.51033[/C][C]1.515878[/C][C]1.51829[/C][C]1.51829[/C][C]1.512823[/C][C]1.51025[/C][C]1.512662[/C][C]1.51829[/C][/ROW]
[ROW][C]0.7[/C][C]1.538906[/C][C]1.54508[/C][C]1.54508[/C][C]1.54508[/C][C]1.541552[/C][C]1.53626[/C][C]1.54508[/C][C]1.54508[/C][/ROW]
[ROW][C]0.71[/C][C]1.574648[/C][C]1.595696[/C][C]1.57988[/C][C]1.57988[/C][C]1.578349[/C][C]1.57988[/C][C]1.616784[/C][C]1.57988[/C][/ROW]
[ROW][C]0.72[/C][C]1.63267[/C][C]1.67474[/C][C]1.63268[/C][C]1.63268[/C][C]1.643896[/C][C]1.63268[/C][C]1.66072[/C][C]1.70278[/C][/ROW]
[ROW][C]0.73[/C][C]1.725747[/C][C]1.740763[/C][C]1.74282[/C][C]1.74282[/C][C]1.731301[/C][C]1.72225[/C][C]1.724307[/C][C]1.74282[/C][/ROW]
[ROW][C]0.74[/C][C]1.850717[/C][C]1.958366[/C][C]1.94613[/C][C]1.94613[/C][C]1.896657[/C][C]1.76944[/C][C]1.995074[/C][C]1.94613[/C][/ROW]
[ROW][C]0.75[/C][C]2.010865[/C][C]2.01731[/C][C]2.01205[/C][C]2.01205[/C][C]2.01205[/C][C]2.01205[/C][C]2.01731[/C][C]2.01731[/C][/ROW]
[ROW][C]0.76[/C][C]2.218318[/C][C]2.271868[/C][C]2.28596[/C][C]2.28596[/C][C]2.235229[/C][C]2.2155[/C][C]2.229592[/C][C]2.28596[/C][/ROW]
[ROW][C]0.77[/C][C]2.299103[/C][C]2.304307[/C][C]2.30384[/C][C]2.30384[/C][C]2.300729[/C][C]2.29677[/C][C]2.308043[/C][C]2.30384[/C][/ROW]
[ROW][C]0.78[/C][C]2.35204[/C][C]2.395796[/C][C]2.37872[/C][C]2.37872[/C][C]2.367486[/C][C]2.37872[/C][C]2.404334[/C][C]2.37872[/C][/ROW]
[ROW][C]0.79[/C][C]2.446289[/C][C]2.490267[/C][C]2.44875[/C][C]2.44875[/C][C]2.455867[/C][C]2.44875[/C][C]2.466543[/C][C]2.50806[/C][/ROW]
[ROW][C]0.8[/C][C]2.56116[/C][C]2.67408[/C][C]2.67408[/C][C]2.67408[/C][C]2.58939[/C][C]2.53293[/C][C]2.67408[/C][C]2.67408[/C][/ROW]
[ROW][C]0.81[/C][C]2.70386[/C][C]2.728376[/C][C]2.72297[/C][C]2.72297[/C][C]2.71098[/C][C]2.6855[/C][C]2.735584[/C][C]2.72297[/C][/ROW]
[ROW][C]0.82[/C][C]2.745179[/C][C]2.782786[/C][C]2.74636[/C][C]2.74636[/C][C]2.746145[/C][C]2.74636[/C][C]2.770644[/C][C]2.80707[/C][/ROW]
[ROW][C]0.83[/C][C]2.828742[/C][C]2.936667[/C][C]2.94967[/C][C]2.94967[/C][C]2.850847[/C][C]2.81964[/C][C]2.832643[/C][C]2.94967[/C][/ROW]
[ROW][C]0.84[/C][C]3.032844[/C][C]3.04089[/C][C]3.03941[/C][C]3.03941[/C][C]3.034485[/C][C]3.02915[/C][C]3.04533[/C][C]3.03941[/C][/ROW]
[ROW][C]0.85[/C][C]3.080643[/C][C]3.103955[/C][C]3.09886[/C][C]3.09886[/C][C]3.08845[/C][C]3.09886[/C][C]3.103955[/C][C]3.103955[/C][/ROW]
[ROW][C]0.86[/C][C]3.126102[/C][C]3.250014[/C][C]3.12719[/C][C]3.12719[/C][C]3.139472[/C][C]3.12719[/C][C]3.157896[/C][C]3.28072[/C][/ROW]
[ROW][C]0.87[/C][C]3.438347[/C][C]3.46168[/C][C]3.45973[/C][C]3.45973[/C][C]3.441957[/C][C]3.43196[/C][C]3.47728[/C][C]3.45973[/C][/ROW]
[ROW][C]0.88[/C][C]3.495938[/C][C]3.512012[/C][C]3.51136[/C][C]3.51136[/C][C]3.499793[/C][C]3.51136[/C][C]3.512338[/C][C]3.51136[/C][/ROW]
[ROW][C]0.89[/C][C]3.622016[/C][C]3.719137[/C][C]3.64759[/C][C]3.64759[/C][C]3.636822[/C][C]3.64759[/C][C]3.678253[/C][C]3.7498[/C][/ROW]
[ROW][C]0.9[/C][C]3.788713[/C][C]3.81007[/C][C]3.81007[/C][C]3.81007[/C][C]3.791086[/C][C]3.78634[/C][C]3.81007[/C][C]3.81007[/C][/ROW]
[ROW][C]0.91[/C][C]3.831097[/C][C]3.865511[/C][C]3.84761[/C][C]3.84761[/C][C]3.833534[/C][C]3.82054[/C][C]3.889379[/C][C]3.84761[/C][/ROW]
[ROW][C]0.92[/C][C]3.986051[/C][C]4.079448[/C][C]4.02312[/C][C]4.02312[/C][C]3.995318[/C][C]4.02312[/C][C]4.060672[/C][C]4.117[/C][/ROW]
[ROW][C]0.93[/C][C]4.162008[/C][C]4.229802[/C][C]4.1634[/C][C]4.1634[/C][C]4.166351[/C][C]4.1634[/C][C]4.170778[/C][C]4.23718[/C][/ROW]
[ROW][C]0.94[/C][C]4.403774[/C][C]4.45134[/C][C]4.44238[/C][C]4.44238[/C][C]4.406904[/C][C]4.39021[/C][C]4.47822[/C][C]4.44238[/C][/ROW]
[ROW][C]0.95[/C][C]4.532731[/C][C]4.573985[/C][C]4.57[/C][C]4.57[/C][C]4.536872[/C][C]4.57[/C][C]4.573985[/C][C]4.573985[/C][/ROW]
[ROW][C]0.96[/C][C]4.641508[/C][C]4.70501[/C][C]4.65361[/C][C]4.65361[/C][C]4.644533[/C][C]4.65361[/C][C]4.66646[/C][C]4.71786[/C][/ROW]
[ROW][C]0.97[/C][C]4.773909[/C][C]4.830259[/C][C]4.82724[/C][C]4.82724[/C][C]4.775748[/C][C]4.76594[/C][C]4.854411[/C][C]4.82724[/C][/ROW]
[ROW][C]0.98[/C][C]4.974207[/C][C]5.176846[/C][C]5.13547[/C][C]5.13547[/C][C]4.979768[/C][C]4.85743[/C][C]5.197534[/C][C]5.13547[/C][/ROW]
[ROW][C]0.99[/C][C]5.475915[/C][C]6.227199[/C][C]5.57272[/C][C]5.57272[/C][C]5.479253[/C][C]5.57272[/C][C]5.853211[/C][C]6.50769[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265969&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265969&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)
0.01-7.589096-7.58876-7.56524-7.56524-7.466854-7.59884-7.57532-7.59884
0.02-7.115562-7.112172-7.04438-7.04438-6.951734-7.04438-7.146068-7.04438
0.03-6.434222-6.418887-6.36777-6.36777-6.206549-6.36777-6.827823-6.36777
0.04-6.115566-6.115102-6.10583-6.10583-6.09641-6.11742-6.108148-6.11742
0.05-5.977438-5.971895-5.91646-5.91646-5.899792-6.02733-5.971895-5.971895
0.06-5.508542-5.478846-5.37986-5.37986-5.126288-5.37986-5.775804-5.37986
0.07-4.729312-4.724953-4.66891-4.66891-4.671401-4.73118-4.675137-4.73118
0.08-4.568587-4.557066-4.47066-4.47066-4.425828-4.61467-4.528264-4.61467
0.09-4.273545-4.272023-4.26695-4.26695-4.213489-4.26695-4.278787-4.26695
0.1-4.075823-4.06601-4.06601-4.06601-3.992842-4.06601-4.06601-4.06601
0.11-3.916474-3.907891-3.85327-3.85327-3.853011-3.9313-3.876679-3.9313
0.12-3.839988-3.837478-3.82911-3.82911-3.827857-3.85003-3.841662-3.82911
0.13-3.777767-3.769686-3.76347-3.76347-3.705371-3.76347-3.819414-3.76347
0.14-3.520279-3.489034-3.31049-3.31049-3.328344-3.53367-3.355126-3.53367
0.15-3.183598-3.177035-3.15516-3.15516-3.143712-3.19891-3.177035-3.177035
0.16-3.07961-3.075032-3.06931-3.06931-3.059052-3.06931-3.092198-3.06931
0.17-3.013418-3.008648-3.01082-3.01082-2.994313-3.01082-2.991272-3.01082
0.18-2.88566-2.858602-2.76841-2.76841-2.765614-2.91873-2.828538-2.91873
0.19-2.663463-2.650406-2.62979-2.62979-2.601214-2.62979-2.677894-2.62979
0.2-2.534642-2.53318-2.53318-2.53318-2.489284-2.53318-2.53318-2.53318
0.21-2.422235-2.420194-2.41339-2.41339-2.414556-2.42311-2.416306-2.42311
0.22-2.396374-2.395542-2.39403-2.39403-2.381406-2.39781-2.396298-2.39403
0.23-2.253229-2.231979-2.22274-2.22274-2.198773-2.22274-2.305891-2.22274
0.24-2.163086-2.158542-2.16287-2.16287-2.147289-2.16287-2.145558-2.16287
0.25-2.100695-2.06938-2.00675-2.00675-2.00675-2.13201-2.06938-2.06938
0.26-1.923945-1.888972-1.86207-1.86207-1.861717-1.86207-1.969678-1.86207
0.27-1.802345-1.781778-1.79037-1.79037-1.742255-1.79037-1.713042-1.79037
0.28-1.674916-1.63223-1.54076-1.54076-1.565152-1.69321-1.60174-1.69321
0.29-1.519441-1.516909-1.51429-1.51429-1.513226-1.52302-1.520401-1.51429
0.3-1.461383-1.44251-1.44251-1.44251-1.440594-1.44251-1.44251-1.44251
0.31-1.375172-1.36809-1.37454-1.37454-1.35992-1.37454-1.35949-1.37454
0.32-1.349883-1.347464-1.34444-1.34444-1.344742-1.352-1.348976-1.34444
0.33-1.204449-1.200275-1.19901-1.19901-1.183028-1.19901-1.210395-1.19901
0.34-1.121747-1.116774-1.12001-1.12001-1.111596-1.12001-1.107066-1.12001
0.35-0.973892-0.963189-0.947899-0.947899-0.954015-0.978479-0.963189-0.963189
0.36-0.842474-0.80879-0.790076-0.790076-0.785241-0.883644-0.86493-0.790076
0.37-0.724865-0.716797-0.723098-0.723098-0.700413-0.723098-0.666386-0.723098
0.38-0.63336-0.623124-0.606962-0.606962-0.616659-0.633899-0.617737-0.633899
0.39-0.518806-0.466558-0.426368-0.426368-0.437085-0.560336-0.520146-0.426368
0.4-0.347239-0.305464-0.305464-0.305464-0.286593-0.305464-0.305464-0.305464
0.41-0.205718-0.195837-0.205052-0.205052-0.190308-0.205052-0.183551-0.205052
0.42-0.17107-0.170474-0.169906-0.169906-0.170247-0.171326-0.170758-0.169906
0.43-0.122297-0.106828-0.10323-0.10323-0.100987-0.139206-0.135608-0.10323
0.44-0.021009-0.010173-0.012756-0.012756-0.008623-0.012756-0.002423-0.012756
0.450.0739360.0879870.1035990.1035990.091110.0723750.0879870.087987
0.460.1287510.139360.1439730.1439730.1412050.120910.1255230.143973
0.470.2495480.280090.2760480.2760480.2825150.2760480.3124270.276048
0.480.3245150.3357290.3252150.3252150.336780.3252150.3409860.325215
0.490.3651250.3680310.369810.369810.368150.363880.3656590.36981
0.50.3895550.4062030.4062030.4062030.4062030.4062030.4062030.406203
0.510.4489530.453640.4505240.4505240.4534320.4505240.4577950.450524
0.520.5121520.5153510.5178110.5178110.5151050.511660.514120.517811
0.530.5953320.610540.6134090.6134090.6088180.5847160.5875850.613409
0.540.6885020.7247010.7236270.7236270.7242710.7236270.7279220.723627
0.550.7454820.7599590.746350.746350.7572370.746350.7599580.773567
0.560.7942840.8107860.816680.816680.807250.7872120.7931060.81668
0.570.8514680.8640610.8550590.8550590.8547530.8550590.9360770.855059
0.580.9466160.9531860.9469540.9469540.9506930.9469540.9563030.946954
0.590.9819170.9837290.984650.984650.9831760.9815790.98250.98465
0.61.0142481.015731.015731.015731.0152361.013261.015731.01573
0.611.0751861.0917971.081031.081031.0839011.081031.1061531.08103
0.621.1398231.1585061.140291.140291.151221.140291.1524341.17065
0.631.1728051.1747771.175091.175091.1739631.171961.1722731.17509
0.641.2523641.3078861.302851.302851.2936711.302851.3229941.30285
0.651.3445281.356511.347441.347441.3510681.347441.356511.35651
0.661.3945491.3994461.400931.400931.3970721.393511.3949941.40093
0.671.4542191.471541.471041.471041.4639581.441531.475541.47104
0.681.4849391.4931761.48841.48841.4888781.48841.4955641.4884
0.691.510331.5158781.518291.518291.5128231.510251.5126621.51829
0.71.5389061.545081.545081.545081.5415521.536261.545081.54508
0.711.5746481.5956961.579881.579881.5783491.579881.6167841.57988
0.721.632671.674741.632681.632681.6438961.632681.660721.70278
0.731.7257471.7407631.742821.742821.7313011.722251.7243071.74282
0.741.8507171.9583661.946131.946131.8966571.769441.9950741.94613
0.752.0108652.017312.012052.012052.012052.012052.017312.01731
0.762.2183182.2718682.285962.285962.2352292.21552.2295922.28596
0.772.2991032.3043072.303842.303842.3007292.296772.3080432.30384
0.782.352042.3957962.378722.378722.3674862.378722.4043342.37872
0.792.4462892.4902672.448752.448752.4558672.448752.4665432.50806
0.82.561162.674082.674082.674082.589392.532932.674082.67408
0.812.703862.7283762.722972.722972.710982.68552.7355842.72297
0.822.7451792.7827862.746362.746362.7461452.746362.7706442.80707
0.832.8287422.9366672.949672.949672.8508472.819642.8326432.94967
0.843.0328443.040893.039413.039413.0344853.029153.045333.03941
0.853.0806433.1039553.098863.098863.088453.098863.1039553.103955
0.863.1261023.2500143.127193.127193.1394723.127193.1578963.28072
0.873.4383473.461683.459733.459733.4419573.431963.477283.45973
0.883.4959383.5120123.511363.511363.4997933.511363.5123383.51136
0.893.6220163.7191373.647593.647593.6368223.647593.6782533.7498
0.93.7887133.810073.810073.810073.7910863.786343.810073.81007
0.913.8310973.8655113.847613.847613.8335343.820543.8893793.84761
0.923.9860514.0794484.023124.023123.9953184.023124.0606724.117
0.934.1620084.2298024.16344.16344.1663514.16344.1707784.23718
0.944.4037744.451344.442384.442384.4069044.390214.478224.44238
0.954.5327314.5739854.574.574.5368724.574.5739854.573985
0.964.6415084.705014.653614.653614.6445334.653614.666464.71786
0.974.7739094.8302594.827244.827244.7757484.765944.8544114.82724
0.984.9742075.1768465.135475.135474.9797684.857435.1975345.13547
0.995.4759156.2271995.572725.572725.4792535.572725.8532116.50769


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')