Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationMon, 13 Dec 2010 18:44:10 +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/13/t12922657524gqowdaqqcv2rmu.htm/, Retrieved Thu, 31 Oct 2024 23:07:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109065, Retrieved Thu, 31 Oct 2024 23:07:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact182
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [Arabica Price in ...] [2008-01-19 12:03:37] [74be16979710d4c4e7c6647856088456]
- RM D  [Percentiles] [] [2010-11-16 19:22:04] [b98453cac15ba1066b407e146608df68]
-    D      [Percentiles] [] [2010-12-13 18:44:10] [288f03f47c5783dcaccb816dacc66894] [Current]
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Dataseries X:
58.951
59.634
58.389
57.702
56.593
55.998
57.363
58.022
57.598
57.842
58.875
59.103
58.484
58.636
61.342
63.470
64.281
63.721
62.657
62.549
61.882
62.325
61.907
63.136
63.982
65.800
67.596
68.654
67.548
67.398
66.999
66.284
65.561
67.694
69.976
72.908
75.128
75.522
75.242
75.179
75.572
78.340
80.107
82.972
81.638
80.018
80.631
79.211
79.999
77.789
76.205
75.352
74.393
72.771
70.682
69.991
67.525
67.779
66.864
67.971
67.071
66.980
57.144
56.648
53.706
47.108
43.292
48.489
52.642
53.249
50.722
49.805
49.303
49.985
49.512
51.282
50.734
50.365
46.191
44.617
42.012
41.027
39.478
36.824
34.761
31.295
28.951
25.872
17.297
10.739
9.087
8.658
8.731
8.358
6.518
5.021
3.440
2.523
1.725
1.210
777
498
312
179
92
106




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' @ 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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109065&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' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109065&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109065&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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)
0.011.24091.246051.7251.7251.76491.211.688951.21
0.021.820761.836722.5232.5232.61471.7252.411281.725
0.032.688062.715573.443.443.677152.5233.247432.523
0.043.819443.882685.0215.0215.32043.444.578323.44
0.055.47015.544956.5186.5186.9785.0215.994055.021
0.067.18047.29088.3588.3588.4486.5187.58526.518
0.078.4848.5058.6588.6588.683558.3588.5118.358
0.088.693048.698888.7318.7318.87348.6588.690128.731
0.098.923248.955289.0879.0879.83049.0878.862729.087
0.110.078210.243410.73910.73914.01810.7399.582610.739
0.1115.0672815.7886617.29717.29722.0132517.29712.2473417.297
0.1223.47124.525.87225.87227.719425.87218.66925.872
0.1328.2736228.6738928.95128.95130.474628.95126.1491128.951
0.1430.9199631.2481231.29531.29533.721231.29528.9978831.295
0.1534.414434.8641534.76134.76136.3082534.76136.7208534.761
0.1636.7414837.1424836.82436.82438.947236.82439.1595236.824
0.1739.5089839.7723141.02741.02740.7946539.47840.7326939.478
0.1841.105841.283142.01242.01241.913541.02741.755941.027
0.1942.191242.434443.29243.29243.22842.01242.869642.012
0.243.55743.82244.61744.61744.61743.29244.08743.292
0.2145.0262445.3567846.19146.19146.2368544.61745.4512244.617
0.2246.4844446.6861847.10847.10847.246146.19146.6128247.108
0.2347.6327847.9504148.48948.48948.611147.10847.6465948.489
0.2448.8471649.0425249.30349.30349.344848.48948.7494849.303
0.2549.407549.4597549.51249.51249.5852549.51249.3552549.512
0.2649.6760849.7522649.80549.80549.85949.80549.5647449.805
0.2749.916649.965249.98549.98550.11849.98549.824849.985
0.2850.243450.349850.36550.36550.507850.36550.000250.365
0.2950.6291850.7223650.72250.72250.727450.72250.7336450.722
0.350.731650.788850.73450.73451.00850.73451.227250.734
0.3151.2052851.513251.28251.28252.0351.28252.410851.282
0.3252.533252.7876852.64252.64253.006252.64253.1033252.642
0.3353.2368653.3906753.24953.24953.5460553.24953.5643353.249
0.3453.7976854.5769655.99855.99855.310453.70655.1270453.706
0.3556.057556.2657556.59356.59356.4442555.99856.3252555.998
0.3656.601856.621656.64856.64856.63756.59356.619456.648
0.3756.7571256.9406457.14457.14457.069656.64856.8513657.144
0.3857.2053257.2885457.36357.36357.341157.14457.2184657.363
0.3957.442957.5345557.59857.59857.5862557.36357.4264557.598
0.457.639657.681257.70257.70257.70257.59857.618857.702
0.4157.766457.823857.84257.84257.85157.70257.720257.842
0.4257.935658.011258.02258.02258.058758.02257.852858.022
0.4358.2348658.3899558.38958.38958.4032558.38958.4830558.389
0.4458.449858.4961658.48458.48458.514458.48458.6238458.484
0.4558.590458.6718558.63658.63658.6957558.63658.8391558.636
0.4658.8176458.8917258.87558.87558.897858.87558.9342858.875
0.4758.9373258.9950858.95158.95159.004258.95159.0589258.951
0.4859.0847659.2941659.10359.10359.315459.10359.4428459.103
0.4959.6021460.3684459.63459.63460.402659.63460.6075659.634
0.561.34261.61261.34261.61261.61261.34261.61261.612
0.5161.883561.8962561.90761.90761.8957561.88261.8927561.907
0.5261.9571662.1745262.32562.32562.157861.90762.0574862.325
0.5362.3653262.4840462.54962.54962.470662.32562.3899662.549
0.5462.5749262.6332462.65762.65762.624662.54962.5727662.657
0.5562.800763.0641563.13663.13663.0162562.65762.7288563.136
0.5663.2562463.4432863.4763.4763.403263.13663.1627263.47
0.5763.5754263.7184963.72163.72163.6833563.4763.4725163.721
0.5863.8462863.9999463.98263.98263.955963.72164.2630663.982
0.5964.1434664.447464.28164.28164.2660564.28165.394664.281
0.665.04965.608865.56165.56165.56165.56165.752265.561
0.6165.7187465.9306865.865.865.824265.866.1533265.8
0.6266.1484866.481266.28466.28466.34266.28466.666866.284
0.6366.736466.9115666.86466.86466.881466.86466.9324466.864
0.6466.9614466.9891266.9866.9866.983866.9866.9898866.98
0.6566.997167.038666.99966.99967.01766.99967.031467.071
0.6667.0681267.2737467.07167.07167.169167.07167.1952667.398
0.6767.4005467.4856367.52567.52567.4424567.39867.4373767.525
0.6867.5268467.5424867.54867.54867.534267.52567.5305267.548
0.6967.5547267.5878467.59667.59667.569667.54867.5561667.596
0.767.615667.684267.69467.69467.64567.59667.605867.694
0.7167.716167.7764567.77967.77967.7407567.69467.6965567.779
0.7267.8404467.9983267.97167.97167.894267.77968.6266867.971
0.7368.2305468.7994268.65468.65468.4149567.97169.8305868.654
0.7469.2356869.978769.97669.97669.579468.65469.988369.976
0.7569.983570.1637569.99169.99169.9872569.99170.5092569.991
0.7670.3779671.3504870.68270.68270.543870.68272.1025270.682
0.7771.9771872.8244372.77172.77172.4576572.77172.8545772.771
0.7872.8641673.591172.90872.90872.894372.90873.709972.908
0.7974.006974.7825574.39374.39374.3187574.39374.7384575.128
0.874.98175.158675.12875.12875.12875.12875.148475.179
0.8175.1718675.2212175.17975.17975.1821575.17975.1997975.242
0.8275.2369675.323475.24275.24275.25375.24275.270675.352
0.8375.349875.489775.35275.35275.377575.35275.384375.522
0.8475.52475.56675.57275.57275.53275.52275.52875.572
0.8575.635376.1733576.20576.20575.7302575.57275.6036576.205
0.8676.4584477.8000277.78977.78976.680276.20578.3289877.789
0.8777.9102278.4183978.3478.3477.9818577.78979.1326178.34
0.8878.5838879.3370879.21179.21178.688478.3479.8729279.211
0.8979.4789280.0033779.99979.99979.565679.21180.0136379.999
0.980.006680.044780.01880.01880.008579.99980.080380.018
0.9180.0589480.3008880.10780.10780.0669580.01880.4371280.107
0.9280.3794881.0740880.63180.63180.421480.63181.1949280.631
0.9381.2150682.3183481.63881.63881.2855581.63882.2916682.972
0.9482.4917688.2082482.97282.97282.571882.97286.7637692
0.9589.2916101.1929289.7439296.9106
0.96102.64158.56106106103.2106126.44179
0.97165.86284.07179179168.05179206.93312
0.98296.04471.96312312298.7312338.04498
0.99486.84757.47498498488.7498517.53777

\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 & 1.2409 & 1.24605 & 1.725 & 1.725 & 1.7649 & 1.21 & 1.68895 & 1.21 \tabularnewline
0.02 & 1.82076 & 1.83672 & 2.523 & 2.523 & 2.6147 & 1.725 & 2.41128 & 1.725 \tabularnewline
0.03 & 2.68806 & 2.71557 & 3.44 & 3.44 & 3.67715 & 2.523 & 3.24743 & 2.523 \tabularnewline
0.04 & 3.81944 & 3.88268 & 5.021 & 5.021 & 5.3204 & 3.44 & 4.57832 & 3.44 \tabularnewline
0.05 & 5.4701 & 5.54495 & 6.518 & 6.518 & 6.978 & 5.021 & 5.99405 & 5.021 \tabularnewline
0.06 & 7.1804 & 7.2908 & 8.358 & 8.358 & 8.448 & 6.518 & 7.5852 & 6.518 \tabularnewline
0.07 & 8.484 & 8.505 & 8.658 & 8.658 & 8.68355 & 8.358 & 8.511 & 8.358 \tabularnewline
0.08 & 8.69304 & 8.69888 & 8.731 & 8.731 & 8.8734 & 8.658 & 8.69012 & 8.731 \tabularnewline
0.09 & 8.92324 & 8.95528 & 9.087 & 9.087 & 9.8304 & 9.087 & 8.86272 & 9.087 \tabularnewline
0.1 & 10.0782 & 10.2434 & 10.739 & 10.739 & 14.018 & 10.739 & 9.5826 & 10.739 \tabularnewline
0.11 & 15.06728 & 15.78866 & 17.297 & 17.297 & 22.01325 & 17.297 & 12.24734 & 17.297 \tabularnewline
0.12 & 23.471 & 24.5 & 25.872 & 25.872 & 27.7194 & 25.872 & 18.669 & 25.872 \tabularnewline
0.13 & 28.27362 & 28.67389 & 28.951 & 28.951 & 30.4746 & 28.951 & 26.14911 & 28.951 \tabularnewline
0.14 & 30.91996 & 31.24812 & 31.295 & 31.295 & 33.7212 & 31.295 & 28.99788 & 31.295 \tabularnewline
0.15 & 34.4144 & 34.86415 & 34.761 & 34.761 & 36.30825 & 34.761 & 36.72085 & 34.761 \tabularnewline
0.16 & 36.74148 & 37.14248 & 36.824 & 36.824 & 38.9472 & 36.824 & 39.15952 & 36.824 \tabularnewline
0.17 & 39.50898 & 39.77231 & 41.027 & 41.027 & 40.79465 & 39.478 & 40.73269 & 39.478 \tabularnewline
0.18 & 41.1058 & 41.2831 & 42.012 & 42.012 & 41.9135 & 41.027 & 41.7559 & 41.027 \tabularnewline
0.19 & 42.1912 & 42.4344 & 43.292 & 43.292 & 43.228 & 42.012 & 42.8696 & 42.012 \tabularnewline
0.2 & 43.557 & 43.822 & 44.617 & 44.617 & 44.617 & 43.292 & 44.087 & 43.292 \tabularnewline
0.21 & 45.02624 & 45.35678 & 46.191 & 46.191 & 46.23685 & 44.617 & 45.45122 & 44.617 \tabularnewline
0.22 & 46.48444 & 46.68618 & 47.108 & 47.108 & 47.2461 & 46.191 & 46.61282 & 47.108 \tabularnewline
0.23 & 47.63278 & 47.95041 & 48.489 & 48.489 & 48.6111 & 47.108 & 47.64659 & 48.489 \tabularnewline
0.24 & 48.84716 & 49.04252 & 49.303 & 49.303 & 49.3448 & 48.489 & 48.74948 & 49.303 \tabularnewline
0.25 & 49.4075 & 49.45975 & 49.512 & 49.512 & 49.58525 & 49.512 & 49.35525 & 49.512 \tabularnewline
0.26 & 49.67608 & 49.75226 & 49.805 & 49.805 & 49.859 & 49.805 & 49.56474 & 49.805 \tabularnewline
0.27 & 49.9166 & 49.9652 & 49.985 & 49.985 & 50.118 & 49.985 & 49.8248 & 49.985 \tabularnewline
0.28 & 50.2434 & 50.3498 & 50.365 & 50.365 & 50.5078 & 50.365 & 50.0002 & 50.365 \tabularnewline
0.29 & 50.62918 & 50.72236 & 50.722 & 50.722 & 50.7274 & 50.722 & 50.73364 & 50.722 \tabularnewline
0.3 & 50.7316 & 50.7888 & 50.734 & 50.734 & 51.008 & 50.734 & 51.2272 & 50.734 \tabularnewline
0.31 & 51.20528 & 51.5132 & 51.282 & 51.282 & 52.03 & 51.282 & 52.4108 & 51.282 \tabularnewline
0.32 & 52.5332 & 52.78768 & 52.642 & 52.642 & 53.0062 & 52.642 & 53.10332 & 52.642 \tabularnewline
0.33 & 53.23686 & 53.39067 & 53.249 & 53.249 & 53.54605 & 53.249 & 53.56433 & 53.249 \tabularnewline
0.34 & 53.79768 & 54.57696 & 55.998 & 55.998 & 55.3104 & 53.706 & 55.12704 & 53.706 \tabularnewline
0.35 & 56.0575 & 56.26575 & 56.593 & 56.593 & 56.44425 & 55.998 & 56.32525 & 55.998 \tabularnewline
0.36 & 56.6018 & 56.6216 & 56.648 & 56.648 & 56.637 & 56.593 & 56.6194 & 56.648 \tabularnewline
0.37 & 56.75712 & 56.94064 & 57.144 & 57.144 & 57.0696 & 56.648 & 56.85136 & 57.144 \tabularnewline
0.38 & 57.20532 & 57.28854 & 57.363 & 57.363 & 57.3411 & 57.144 & 57.21846 & 57.363 \tabularnewline
0.39 & 57.4429 & 57.53455 & 57.598 & 57.598 & 57.58625 & 57.363 & 57.42645 & 57.598 \tabularnewline
0.4 & 57.6396 & 57.6812 & 57.702 & 57.702 & 57.702 & 57.598 & 57.6188 & 57.702 \tabularnewline
0.41 & 57.7664 & 57.8238 & 57.842 & 57.842 & 57.851 & 57.702 & 57.7202 & 57.842 \tabularnewline
0.42 & 57.9356 & 58.0112 & 58.022 & 58.022 & 58.0587 & 58.022 & 57.8528 & 58.022 \tabularnewline
0.43 & 58.23486 & 58.38995 & 58.389 & 58.389 & 58.40325 & 58.389 & 58.48305 & 58.389 \tabularnewline
0.44 & 58.4498 & 58.49616 & 58.484 & 58.484 & 58.5144 & 58.484 & 58.62384 & 58.484 \tabularnewline
0.45 & 58.5904 & 58.67185 & 58.636 & 58.636 & 58.69575 & 58.636 & 58.83915 & 58.636 \tabularnewline
0.46 & 58.81764 & 58.89172 & 58.875 & 58.875 & 58.8978 & 58.875 & 58.93428 & 58.875 \tabularnewline
0.47 & 58.93732 & 58.99508 & 58.951 & 58.951 & 59.0042 & 58.951 & 59.05892 & 58.951 \tabularnewline
0.48 & 59.08476 & 59.29416 & 59.103 & 59.103 & 59.3154 & 59.103 & 59.44284 & 59.103 \tabularnewline
0.49 & 59.60214 & 60.36844 & 59.634 & 59.634 & 60.4026 & 59.634 & 60.60756 & 59.634 \tabularnewline
0.5 & 61.342 & 61.612 & 61.342 & 61.612 & 61.612 & 61.342 & 61.612 & 61.612 \tabularnewline
0.51 & 61.8835 & 61.89625 & 61.907 & 61.907 & 61.89575 & 61.882 & 61.89275 & 61.907 \tabularnewline
0.52 & 61.95716 & 62.17452 & 62.325 & 62.325 & 62.1578 & 61.907 & 62.05748 & 62.325 \tabularnewline
0.53 & 62.36532 & 62.48404 & 62.549 & 62.549 & 62.4706 & 62.325 & 62.38996 & 62.549 \tabularnewline
0.54 & 62.57492 & 62.63324 & 62.657 & 62.657 & 62.6246 & 62.549 & 62.57276 & 62.657 \tabularnewline
0.55 & 62.8007 & 63.06415 & 63.136 & 63.136 & 63.01625 & 62.657 & 62.72885 & 63.136 \tabularnewline
0.56 & 63.25624 & 63.44328 & 63.47 & 63.47 & 63.4032 & 63.136 & 63.16272 & 63.47 \tabularnewline
0.57 & 63.57542 & 63.71849 & 63.721 & 63.721 & 63.68335 & 63.47 & 63.47251 & 63.721 \tabularnewline
0.58 & 63.84628 & 63.99994 & 63.982 & 63.982 & 63.9559 & 63.721 & 64.26306 & 63.982 \tabularnewline
0.59 & 64.14346 & 64.4474 & 64.281 & 64.281 & 64.26605 & 64.281 & 65.3946 & 64.281 \tabularnewline
0.6 & 65.049 & 65.6088 & 65.561 & 65.561 & 65.561 & 65.561 & 65.7522 & 65.561 \tabularnewline
0.61 & 65.71874 & 65.93068 & 65.8 & 65.8 & 65.8242 & 65.8 & 66.15332 & 65.8 \tabularnewline
0.62 & 66.14848 & 66.4812 & 66.284 & 66.284 & 66.342 & 66.284 & 66.6668 & 66.284 \tabularnewline
0.63 & 66.7364 & 66.91156 & 66.864 & 66.864 & 66.8814 & 66.864 & 66.93244 & 66.864 \tabularnewline
0.64 & 66.96144 & 66.98912 & 66.98 & 66.98 & 66.9838 & 66.98 & 66.98988 & 66.98 \tabularnewline
0.65 & 66.9971 & 67.0386 & 66.999 & 66.999 & 67.017 & 66.999 & 67.0314 & 67.071 \tabularnewline
0.66 & 67.06812 & 67.27374 & 67.071 & 67.071 & 67.1691 & 67.071 & 67.19526 & 67.398 \tabularnewline
0.67 & 67.40054 & 67.48563 & 67.525 & 67.525 & 67.44245 & 67.398 & 67.43737 & 67.525 \tabularnewline
0.68 & 67.52684 & 67.54248 & 67.548 & 67.548 & 67.5342 & 67.525 & 67.53052 & 67.548 \tabularnewline
0.69 & 67.55472 & 67.58784 & 67.596 & 67.596 & 67.5696 & 67.548 & 67.55616 & 67.596 \tabularnewline
0.7 & 67.6156 & 67.6842 & 67.694 & 67.694 & 67.645 & 67.596 & 67.6058 & 67.694 \tabularnewline
0.71 & 67.7161 & 67.77645 & 67.779 & 67.779 & 67.74075 & 67.694 & 67.69655 & 67.779 \tabularnewline
0.72 & 67.84044 & 67.99832 & 67.971 & 67.971 & 67.8942 & 67.779 & 68.62668 & 67.971 \tabularnewline
0.73 & 68.23054 & 68.79942 & 68.654 & 68.654 & 68.41495 & 67.971 & 69.83058 & 68.654 \tabularnewline
0.74 & 69.23568 & 69.9787 & 69.976 & 69.976 & 69.5794 & 68.654 & 69.9883 & 69.976 \tabularnewline
0.75 & 69.9835 & 70.16375 & 69.991 & 69.991 & 69.98725 & 69.991 & 70.50925 & 69.991 \tabularnewline
0.76 & 70.37796 & 71.35048 & 70.682 & 70.682 & 70.5438 & 70.682 & 72.10252 & 70.682 \tabularnewline
0.77 & 71.97718 & 72.82443 & 72.771 & 72.771 & 72.45765 & 72.771 & 72.85457 & 72.771 \tabularnewline
0.78 & 72.86416 & 73.5911 & 72.908 & 72.908 & 72.8943 & 72.908 & 73.7099 & 72.908 \tabularnewline
0.79 & 74.0069 & 74.78255 & 74.393 & 74.393 & 74.31875 & 74.393 & 74.73845 & 75.128 \tabularnewline
0.8 & 74.981 & 75.1586 & 75.128 & 75.128 & 75.128 & 75.128 & 75.1484 & 75.179 \tabularnewline
0.81 & 75.17186 & 75.22121 & 75.179 & 75.179 & 75.18215 & 75.179 & 75.19979 & 75.242 \tabularnewline
0.82 & 75.23696 & 75.3234 & 75.242 & 75.242 & 75.253 & 75.242 & 75.2706 & 75.352 \tabularnewline
0.83 & 75.3498 & 75.4897 & 75.352 & 75.352 & 75.3775 & 75.352 & 75.3843 & 75.522 \tabularnewline
0.84 & 75.524 & 75.566 & 75.572 & 75.572 & 75.532 & 75.522 & 75.528 & 75.572 \tabularnewline
0.85 & 75.6353 & 76.17335 & 76.205 & 76.205 & 75.73025 & 75.572 & 75.60365 & 76.205 \tabularnewline
0.86 & 76.45844 & 77.80002 & 77.789 & 77.789 & 76.6802 & 76.205 & 78.32898 & 77.789 \tabularnewline
0.87 & 77.91022 & 78.41839 & 78.34 & 78.34 & 77.98185 & 77.789 & 79.13261 & 78.34 \tabularnewline
0.88 & 78.58388 & 79.33708 & 79.211 & 79.211 & 78.6884 & 78.34 & 79.87292 & 79.211 \tabularnewline
0.89 & 79.47892 & 80.00337 & 79.999 & 79.999 & 79.5656 & 79.211 & 80.01363 & 79.999 \tabularnewline
0.9 & 80.0066 & 80.0447 & 80.018 & 80.018 & 80.0085 & 79.999 & 80.0803 & 80.018 \tabularnewline
0.91 & 80.05894 & 80.30088 & 80.107 & 80.107 & 80.06695 & 80.018 & 80.43712 & 80.107 \tabularnewline
0.92 & 80.37948 & 81.07408 & 80.631 & 80.631 & 80.4214 & 80.631 & 81.19492 & 80.631 \tabularnewline
0.93 & 81.21506 & 82.31834 & 81.638 & 81.638 & 81.28555 & 81.638 & 82.29166 & 82.972 \tabularnewline
0.94 & 82.49176 & 88.20824 & 82.972 & 82.972 & 82.5718 & 82.972 & 86.76376 & 92 \tabularnewline
0.95 & 89.2916 & 101.1 & 92 & 92 & 89.743 & 92 & 96.9 & 106 \tabularnewline
0.96 & 102.64 & 158.56 & 106 & 106 & 103.2 & 106 & 126.44 & 179 \tabularnewline
0.97 & 165.86 & 284.07 & 179 & 179 & 168.05 & 179 & 206.93 & 312 \tabularnewline
0.98 & 296.04 & 471.96 & 312 & 312 & 298.7 & 312 & 338.04 & 498 \tabularnewline
0.99 & 486.84 & 757.47 & 498 & 498 & 488.7 & 498 & 517.53 & 777 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109065&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]1.2409[/C][C]1.24605[/C][C]1.725[/C][C]1.725[/C][C]1.7649[/C][C]1.21[/C][C]1.68895[/C][C]1.21[/C][/ROW]
[ROW][C]0.02[/C][C]1.82076[/C][C]1.83672[/C][C]2.523[/C][C]2.523[/C][C]2.6147[/C][C]1.725[/C][C]2.41128[/C][C]1.725[/C][/ROW]
[ROW][C]0.03[/C][C]2.68806[/C][C]2.71557[/C][C]3.44[/C][C]3.44[/C][C]3.67715[/C][C]2.523[/C][C]3.24743[/C][C]2.523[/C][/ROW]
[ROW][C]0.04[/C][C]3.81944[/C][C]3.88268[/C][C]5.021[/C][C]5.021[/C][C]5.3204[/C][C]3.44[/C][C]4.57832[/C][C]3.44[/C][/ROW]
[ROW][C]0.05[/C][C]5.4701[/C][C]5.54495[/C][C]6.518[/C][C]6.518[/C][C]6.978[/C][C]5.021[/C][C]5.99405[/C][C]5.021[/C][/ROW]
[ROW][C]0.06[/C][C]7.1804[/C][C]7.2908[/C][C]8.358[/C][C]8.358[/C][C]8.448[/C][C]6.518[/C][C]7.5852[/C][C]6.518[/C][/ROW]
[ROW][C]0.07[/C][C]8.484[/C][C]8.505[/C][C]8.658[/C][C]8.658[/C][C]8.68355[/C][C]8.358[/C][C]8.511[/C][C]8.358[/C][/ROW]
[ROW][C]0.08[/C][C]8.69304[/C][C]8.69888[/C][C]8.731[/C][C]8.731[/C][C]8.8734[/C][C]8.658[/C][C]8.69012[/C][C]8.731[/C][/ROW]
[ROW][C]0.09[/C][C]8.92324[/C][C]8.95528[/C][C]9.087[/C][C]9.087[/C][C]9.8304[/C][C]9.087[/C][C]8.86272[/C][C]9.087[/C][/ROW]
[ROW][C]0.1[/C][C]10.0782[/C][C]10.2434[/C][C]10.739[/C][C]10.739[/C][C]14.018[/C][C]10.739[/C][C]9.5826[/C][C]10.739[/C][/ROW]
[ROW][C]0.11[/C][C]15.06728[/C][C]15.78866[/C][C]17.297[/C][C]17.297[/C][C]22.01325[/C][C]17.297[/C][C]12.24734[/C][C]17.297[/C][/ROW]
[ROW][C]0.12[/C][C]23.471[/C][C]24.5[/C][C]25.872[/C][C]25.872[/C][C]27.7194[/C][C]25.872[/C][C]18.669[/C][C]25.872[/C][/ROW]
[ROW][C]0.13[/C][C]28.27362[/C][C]28.67389[/C][C]28.951[/C][C]28.951[/C][C]30.4746[/C][C]28.951[/C][C]26.14911[/C][C]28.951[/C][/ROW]
[ROW][C]0.14[/C][C]30.91996[/C][C]31.24812[/C][C]31.295[/C][C]31.295[/C][C]33.7212[/C][C]31.295[/C][C]28.99788[/C][C]31.295[/C][/ROW]
[ROW][C]0.15[/C][C]34.4144[/C][C]34.86415[/C][C]34.761[/C][C]34.761[/C][C]36.30825[/C][C]34.761[/C][C]36.72085[/C][C]34.761[/C][/ROW]
[ROW][C]0.16[/C][C]36.74148[/C][C]37.14248[/C][C]36.824[/C][C]36.824[/C][C]38.9472[/C][C]36.824[/C][C]39.15952[/C][C]36.824[/C][/ROW]
[ROW][C]0.17[/C][C]39.50898[/C][C]39.77231[/C][C]41.027[/C][C]41.027[/C][C]40.79465[/C][C]39.478[/C][C]40.73269[/C][C]39.478[/C][/ROW]
[ROW][C]0.18[/C][C]41.1058[/C][C]41.2831[/C][C]42.012[/C][C]42.012[/C][C]41.9135[/C][C]41.027[/C][C]41.7559[/C][C]41.027[/C][/ROW]
[ROW][C]0.19[/C][C]42.1912[/C][C]42.4344[/C][C]43.292[/C][C]43.292[/C][C]43.228[/C][C]42.012[/C][C]42.8696[/C][C]42.012[/C][/ROW]
[ROW][C]0.2[/C][C]43.557[/C][C]43.822[/C][C]44.617[/C][C]44.617[/C][C]44.617[/C][C]43.292[/C][C]44.087[/C][C]43.292[/C][/ROW]
[ROW][C]0.21[/C][C]45.02624[/C][C]45.35678[/C][C]46.191[/C][C]46.191[/C][C]46.23685[/C][C]44.617[/C][C]45.45122[/C][C]44.617[/C][/ROW]
[ROW][C]0.22[/C][C]46.48444[/C][C]46.68618[/C][C]47.108[/C][C]47.108[/C][C]47.2461[/C][C]46.191[/C][C]46.61282[/C][C]47.108[/C][/ROW]
[ROW][C]0.23[/C][C]47.63278[/C][C]47.95041[/C][C]48.489[/C][C]48.489[/C][C]48.6111[/C][C]47.108[/C][C]47.64659[/C][C]48.489[/C][/ROW]
[ROW][C]0.24[/C][C]48.84716[/C][C]49.04252[/C][C]49.303[/C][C]49.303[/C][C]49.3448[/C][C]48.489[/C][C]48.74948[/C][C]49.303[/C][/ROW]
[ROW][C]0.25[/C][C]49.4075[/C][C]49.45975[/C][C]49.512[/C][C]49.512[/C][C]49.58525[/C][C]49.512[/C][C]49.35525[/C][C]49.512[/C][/ROW]
[ROW][C]0.26[/C][C]49.67608[/C][C]49.75226[/C][C]49.805[/C][C]49.805[/C][C]49.859[/C][C]49.805[/C][C]49.56474[/C][C]49.805[/C][/ROW]
[ROW][C]0.27[/C][C]49.9166[/C][C]49.9652[/C][C]49.985[/C][C]49.985[/C][C]50.118[/C][C]49.985[/C][C]49.8248[/C][C]49.985[/C][/ROW]
[ROW][C]0.28[/C][C]50.2434[/C][C]50.3498[/C][C]50.365[/C][C]50.365[/C][C]50.5078[/C][C]50.365[/C][C]50.0002[/C][C]50.365[/C][/ROW]
[ROW][C]0.29[/C][C]50.62918[/C][C]50.72236[/C][C]50.722[/C][C]50.722[/C][C]50.7274[/C][C]50.722[/C][C]50.73364[/C][C]50.722[/C][/ROW]
[ROW][C]0.3[/C][C]50.7316[/C][C]50.7888[/C][C]50.734[/C][C]50.734[/C][C]51.008[/C][C]50.734[/C][C]51.2272[/C][C]50.734[/C][/ROW]
[ROW][C]0.31[/C][C]51.20528[/C][C]51.5132[/C][C]51.282[/C][C]51.282[/C][C]52.03[/C][C]51.282[/C][C]52.4108[/C][C]51.282[/C][/ROW]
[ROW][C]0.32[/C][C]52.5332[/C][C]52.78768[/C][C]52.642[/C][C]52.642[/C][C]53.0062[/C][C]52.642[/C][C]53.10332[/C][C]52.642[/C][/ROW]
[ROW][C]0.33[/C][C]53.23686[/C][C]53.39067[/C][C]53.249[/C][C]53.249[/C][C]53.54605[/C][C]53.249[/C][C]53.56433[/C][C]53.249[/C][/ROW]
[ROW][C]0.34[/C][C]53.79768[/C][C]54.57696[/C][C]55.998[/C][C]55.998[/C][C]55.3104[/C][C]53.706[/C][C]55.12704[/C][C]53.706[/C][/ROW]
[ROW][C]0.35[/C][C]56.0575[/C][C]56.26575[/C][C]56.593[/C][C]56.593[/C][C]56.44425[/C][C]55.998[/C][C]56.32525[/C][C]55.998[/C][/ROW]
[ROW][C]0.36[/C][C]56.6018[/C][C]56.6216[/C][C]56.648[/C][C]56.648[/C][C]56.637[/C][C]56.593[/C][C]56.6194[/C][C]56.648[/C][/ROW]
[ROW][C]0.37[/C][C]56.75712[/C][C]56.94064[/C][C]57.144[/C][C]57.144[/C][C]57.0696[/C][C]56.648[/C][C]56.85136[/C][C]57.144[/C][/ROW]
[ROW][C]0.38[/C][C]57.20532[/C][C]57.28854[/C][C]57.363[/C][C]57.363[/C][C]57.3411[/C][C]57.144[/C][C]57.21846[/C][C]57.363[/C][/ROW]
[ROW][C]0.39[/C][C]57.4429[/C][C]57.53455[/C][C]57.598[/C][C]57.598[/C][C]57.58625[/C][C]57.363[/C][C]57.42645[/C][C]57.598[/C][/ROW]
[ROW][C]0.4[/C][C]57.6396[/C][C]57.6812[/C][C]57.702[/C][C]57.702[/C][C]57.702[/C][C]57.598[/C][C]57.6188[/C][C]57.702[/C][/ROW]
[ROW][C]0.41[/C][C]57.7664[/C][C]57.8238[/C][C]57.842[/C][C]57.842[/C][C]57.851[/C][C]57.702[/C][C]57.7202[/C][C]57.842[/C][/ROW]
[ROW][C]0.42[/C][C]57.9356[/C][C]58.0112[/C][C]58.022[/C][C]58.022[/C][C]58.0587[/C][C]58.022[/C][C]57.8528[/C][C]58.022[/C][/ROW]
[ROW][C]0.43[/C][C]58.23486[/C][C]58.38995[/C][C]58.389[/C][C]58.389[/C][C]58.40325[/C][C]58.389[/C][C]58.48305[/C][C]58.389[/C][/ROW]
[ROW][C]0.44[/C][C]58.4498[/C][C]58.49616[/C][C]58.484[/C][C]58.484[/C][C]58.5144[/C][C]58.484[/C][C]58.62384[/C][C]58.484[/C][/ROW]
[ROW][C]0.45[/C][C]58.5904[/C][C]58.67185[/C][C]58.636[/C][C]58.636[/C][C]58.69575[/C][C]58.636[/C][C]58.83915[/C][C]58.636[/C][/ROW]
[ROW][C]0.46[/C][C]58.81764[/C][C]58.89172[/C][C]58.875[/C][C]58.875[/C][C]58.8978[/C][C]58.875[/C][C]58.93428[/C][C]58.875[/C][/ROW]
[ROW][C]0.47[/C][C]58.93732[/C][C]58.99508[/C][C]58.951[/C][C]58.951[/C][C]59.0042[/C][C]58.951[/C][C]59.05892[/C][C]58.951[/C][/ROW]
[ROW][C]0.48[/C][C]59.08476[/C][C]59.29416[/C][C]59.103[/C][C]59.103[/C][C]59.3154[/C][C]59.103[/C][C]59.44284[/C][C]59.103[/C][/ROW]
[ROW][C]0.49[/C][C]59.60214[/C][C]60.36844[/C][C]59.634[/C][C]59.634[/C][C]60.4026[/C][C]59.634[/C][C]60.60756[/C][C]59.634[/C][/ROW]
[ROW][C]0.5[/C][C]61.342[/C][C]61.612[/C][C]61.342[/C][C]61.612[/C][C]61.612[/C][C]61.342[/C][C]61.612[/C][C]61.612[/C][/ROW]
[ROW][C]0.51[/C][C]61.8835[/C][C]61.89625[/C][C]61.907[/C][C]61.907[/C][C]61.89575[/C][C]61.882[/C][C]61.89275[/C][C]61.907[/C][/ROW]
[ROW][C]0.52[/C][C]61.95716[/C][C]62.17452[/C][C]62.325[/C][C]62.325[/C][C]62.1578[/C][C]61.907[/C][C]62.05748[/C][C]62.325[/C][/ROW]
[ROW][C]0.53[/C][C]62.36532[/C][C]62.48404[/C][C]62.549[/C][C]62.549[/C][C]62.4706[/C][C]62.325[/C][C]62.38996[/C][C]62.549[/C][/ROW]
[ROW][C]0.54[/C][C]62.57492[/C][C]62.63324[/C][C]62.657[/C][C]62.657[/C][C]62.6246[/C][C]62.549[/C][C]62.57276[/C][C]62.657[/C][/ROW]
[ROW][C]0.55[/C][C]62.8007[/C][C]63.06415[/C][C]63.136[/C][C]63.136[/C][C]63.01625[/C][C]62.657[/C][C]62.72885[/C][C]63.136[/C][/ROW]
[ROW][C]0.56[/C][C]63.25624[/C][C]63.44328[/C][C]63.47[/C][C]63.47[/C][C]63.4032[/C][C]63.136[/C][C]63.16272[/C][C]63.47[/C][/ROW]
[ROW][C]0.57[/C][C]63.57542[/C][C]63.71849[/C][C]63.721[/C][C]63.721[/C][C]63.68335[/C][C]63.47[/C][C]63.47251[/C][C]63.721[/C][/ROW]
[ROW][C]0.58[/C][C]63.84628[/C][C]63.99994[/C][C]63.982[/C][C]63.982[/C][C]63.9559[/C][C]63.721[/C][C]64.26306[/C][C]63.982[/C][/ROW]
[ROW][C]0.59[/C][C]64.14346[/C][C]64.4474[/C][C]64.281[/C][C]64.281[/C][C]64.26605[/C][C]64.281[/C][C]65.3946[/C][C]64.281[/C][/ROW]
[ROW][C]0.6[/C][C]65.049[/C][C]65.6088[/C][C]65.561[/C][C]65.561[/C][C]65.561[/C][C]65.561[/C][C]65.7522[/C][C]65.561[/C][/ROW]
[ROW][C]0.61[/C][C]65.71874[/C][C]65.93068[/C][C]65.8[/C][C]65.8[/C][C]65.8242[/C][C]65.8[/C][C]66.15332[/C][C]65.8[/C][/ROW]
[ROW][C]0.62[/C][C]66.14848[/C][C]66.4812[/C][C]66.284[/C][C]66.284[/C][C]66.342[/C][C]66.284[/C][C]66.6668[/C][C]66.284[/C][/ROW]
[ROW][C]0.63[/C][C]66.7364[/C][C]66.91156[/C][C]66.864[/C][C]66.864[/C][C]66.8814[/C][C]66.864[/C][C]66.93244[/C][C]66.864[/C][/ROW]
[ROW][C]0.64[/C][C]66.96144[/C][C]66.98912[/C][C]66.98[/C][C]66.98[/C][C]66.9838[/C][C]66.98[/C][C]66.98988[/C][C]66.98[/C][/ROW]
[ROW][C]0.65[/C][C]66.9971[/C][C]67.0386[/C][C]66.999[/C][C]66.999[/C][C]67.017[/C][C]66.999[/C][C]67.0314[/C][C]67.071[/C][/ROW]
[ROW][C]0.66[/C][C]67.06812[/C][C]67.27374[/C][C]67.071[/C][C]67.071[/C][C]67.1691[/C][C]67.071[/C][C]67.19526[/C][C]67.398[/C][/ROW]
[ROW][C]0.67[/C][C]67.40054[/C][C]67.48563[/C][C]67.525[/C][C]67.525[/C][C]67.44245[/C][C]67.398[/C][C]67.43737[/C][C]67.525[/C][/ROW]
[ROW][C]0.68[/C][C]67.52684[/C][C]67.54248[/C][C]67.548[/C][C]67.548[/C][C]67.5342[/C][C]67.525[/C][C]67.53052[/C][C]67.548[/C][/ROW]
[ROW][C]0.69[/C][C]67.55472[/C][C]67.58784[/C][C]67.596[/C][C]67.596[/C][C]67.5696[/C][C]67.548[/C][C]67.55616[/C][C]67.596[/C][/ROW]
[ROW][C]0.7[/C][C]67.6156[/C][C]67.6842[/C][C]67.694[/C][C]67.694[/C][C]67.645[/C][C]67.596[/C][C]67.6058[/C][C]67.694[/C][/ROW]
[ROW][C]0.71[/C][C]67.7161[/C][C]67.77645[/C][C]67.779[/C][C]67.779[/C][C]67.74075[/C][C]67.694[/C][C]67.69655[/C][C]67.779[/C][/ROW]
[ROW][C]0.72[/C][C]67.84044[/C][C]67.99832[/C][C]67.971[/C][C]67.971[/C][C]67.8942[/C][C]67.779[/C][C]68.62668[/C][C]67.971[/C][/ROW]
[ROW][C]0.73[/C][C]68.23054[/C][C]68.79942[/C][C]68.654[/C][C]68.654[/C][C]68.41495[/C][C]67.971[/C][C]69.83058[/C][C]68.654[/C][/ROW]
[ROW][C]0.74[/C][C]69.23568[/C][C]69.9787[/C][C]69.976[/C][C]69.976[/C][C]69.5794[/C][C]68.654[/C][C]69.9883[/C][C]69.976[/C][/ROW]
[ROW][C]0.75[/C][C]69.9835[/C][C]70.16375[/C][C]69.991[/C][C]69.991[/C][C]69.98725[/C][C]69.991[/C][C]70.50925[/C][C]69.991[/C][/ROW]
[ROW][C]0.76[/C][C]70.37796[/C][C]71.35048[/C][C]70.682[/C][C]70.682[/C][C]70.5438[/C][C]70.682[/C][C]72.10252[/C][C]70.682[/C][/ROW]
[ROW][C]0.77[/C][C]71.97718[/C][C]72.82443[/C][C]72.771[/C][C]72.771[/C][C]72.45765[/C][C]72.771[/C][C]72.85457[/C][C]72.771[/C][/ROW]
[ROW][C]0.78[/C][C]72.86416[/C][C]73.5911[/C][C]72.908[/C][C]72.908[/C][C]72.8943[/C][C]72.908[/C][C]73.7099[/C][C]72.908[/C][/ROW]
[ROW][C]0.79[/C][C]74.0069[/C][C]74.78255[/C][C]74.393[/C][C]74.393[/C][C]74.31875[/C][C]74.393[/C][C]74.73845[/C][C]75.128[/C][/ROW]
[ROW][C]0.8[/C][C]74.981[/C][C]75.1586[/C][C]75.128[/C][C]75.128[/C][C]75.128[/C][C]75.128[/C][C]75.1484[/C][C]75.179[/C][/ROW]
[ROW][C]0.81[/C][C]75.17186[/C][C]75.22121[/C][C]75.179[/C][C]75.179[/C][C]75.18215[/C][C]75.179[/C][C]75.19979[/C][C]75.242[/C][/ROW]
[ROW][C]0.82[/C][C]75.23696[/C][C]75.3234[/C][C]75.242[/C][C]75.242[/C][C]75.253[/C][C]75.242[/C][C]75.2706[/C][C]75.352[/C][/ROW]
[ROW][C]0.83[/C][C]75.3498[/C][C]75.4897[/C][C]75.352[/C][C]75.352[/C][C]75.3775[/C][C]75.352[/C][C]75.3843[/C][C]75.522[/C][/ROW]
[ROW][C]0.84[/C][C]75.524[/C][C]75.566[/C][C]75.572[/C][C]75.572[/C][C]75.532[/C][C]75.522[/C][C]75.528[/C][C]75.572[/C][/ROW]
[ROW][C]0.85[/C][C]75.6353[/C][C]76.17335[/C][C]76.205[/C][C]76.205[/C][C]75.73025[/C][C]75.572[/C][C]75.60365[/C][C]76.205[/C][/ROW]
[ROW][C]0.86[/C][C]76.45844[/C][C]77.80002[/C][C]77.789[/C][C]77.789[/C][C]76.6802[/C][C]76.205[/C][C]78.32898[/C][C]77.789[/C][/ROW]
[ROW][C]0.87[/C][C]77.91022[/C][C]78.41839[/C][C]78.34[/C][C]78.34[/C][C]77.98185[/C][C]77.789[/C][C]79.13261[/C][C]78.34[/C][/ROW]
[ROW][C]0.88[/C][C]78.58388[/C][C]79.33708[/C][C]79.211[/C][C]79.211[/C][C]78.6884[/C][C]78.34[/C][C]79.87292[/C][C]79.211[/C][/ROW]
[ROW][C]0.89[/C][C]79.47892[/C][C]80.00337[/C][C]79.999[/C][C]79.999[/C][C]79.5656[/C][C]79.211[/C][C]80.01363[/C][C]79.999[/C][/ROW]
[ROW][C]0.9[/C][C]80.0066[/C][C]80.0447[/C][C]80.018[/C][C]80.018[/C][C]80.0085[/C][C]79.999[/C][C]80.0803[/C][C]80.018[/C][/ROW]
[ROW][C]0.91[/C][C]80.05894[/C][C]80.30088[/C][C]80.107[/C][C]80.107[/C][C]80.06695[/C][C]80.018[/C][C]80.43712[/C][C]80.107[/C][/ROW]
[ROW][C]0.92[/C][C]80.37948[/C][C]81.07408[/C][C]80.631[/C][C]80.631[/C][C]80.4214[/C][C]80.631[/C][C]81.19492[/C][C]80.631[/C][/ROW]
[ROW][C]0.93[/C][C]81.21506[/C][C]82.31834[/C][C]81.638[/C][C]81.638[/C][C]81.28555[/C][C]81.638[/C][C]82.29166[/C][C]82.972[/C][/ROW]
[ROW][C]0.94[/C][C]82.49176[/C][C]88.20824[/C][C]82.972[/C][C]82.972[/C][C]82.5718[/C][C]82.972[/C][C]86.76376[/C][C]92[/C][/ROW]
[ROW][C]0.95[/C][C]89.2916[/C][C]101.1[/C][C]92[/C][C]92[/C][C]89.743[/C][C]92[/C][C]96.9[/C][C]106[/C][/ROW]
[ROW][C]0.96[/C][C]102.64[/C][C]158.56[/C][C]106[/C][C]106[/C][C]103.2[/C][C]106[/C][C]126.44[/C][C]179[/C][/ROW]
[ROW][C]0.97[/C][C]165.86[/C][C]284.07[/C][C]179[/C][C]179[/C][C]168.05[/C][C]179[/C][C]206.93[/C][C]312[/C][/ROW]
[ROW][C]0.98[/C][C]296.04[/C][C]471.96[/C][C]312[/C][C]312[/C][C]298.7[/C][C]312[/C][C]338.04[/C][C]498[/C][/ROW]
[ROW][C]0.99[/C][C]486.84[/C][C]757.47[/C][C]498[/C][C]498[/C][C]488.7[/C][C]498[/C][C]517.53[/C][C]777[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109065&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109065&T=1

As an alternative you can also use a QR Code:  

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

Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.011.24091.246051.7251.7251.76491.211.688951.21
0.021.820761.836722.5232.5232.61471.7252.411281.725
0.032.688062.715573.443.443.677152.5233.247432.523
0.043.819443.882685.0215.0215.32043.444.578323.44
0.055.47015.544956.5186.5186.9785.0215.994055.021
0.067.18047.29088.3588.3588.4486.5187.58526.518
0.078.4848.5058.6588.6588.683558.3588.5118.358
0.088.693048.698888.7318.7318.87348.6588.690128.731
0.098.923248.955289.0879.0879.83049.0878.862729.087
0.110.078210.243410.73910.73914.01810.7399.582610.739
0.1115.0672815.7886617.29717.29722.0132517.29712.2473417.297
0.1223.47124.525.87225.87227.719425.87218.66925.872
0.1328.2736228.6738928.95128.95130.474628.95126.1491128.951
0.1430.9199631.2481231.29531.29533.721231.29528.9978831.295
0.1534.414434.8641534.76134.76136.3082534.76136.7208534.761
0.1636.7414837.1424836.82436.82438.947236.82439.1595236.824
0.1739.5089839.7723141.02741.02740.7946539.47840.7326939.478
0.1841.105841.283142.01242.01241.913541.02741.755941.027
0.1942.191242.434443.29243.29243.22842.01242.869642.012
0.243.55743.82244.61744.61744.61743.29244.08743.292
0.2145.0262445.3567846.19146.19146.2368544.61745.4512244.617
0.2246.4844446.6861847.10847.10847.246146.19146.6128247.108
0.2347.6327847.9504148.48948.48948.611147.10847.6465948.489
0.2448.8471649.0425249.30349.30349.344848.48948.7494849.303
0.2549.407549.4597549.51249.51249.5852549.51249.3552549.512
0.2649.6760849.7522649.80549.80549.85949.80549.5647449.805
0.2749.916649.965249.98549.98550.11849.98549.824849.985
0.2850.243450.349850.36550.36550.507850.36550.000250.365
0.2950.6291850.7223650.72250.72250.727450.72250.7336450.722
0.350.731650.788850.73450.73451.00850.73451.227250.734
0.3151.2052851.513251.28251.28252.0351.28252.410851.282
0.3252.533252.7876852.64252.64253.006252.64253.1033252.642
0.3353.2368653.3906753.24953.24953.5460553.24953.5643353.249
0.3453.7976854.5769655.99855.99855.310453.70655.1270453.706
0.3556.057556.2657556.59356.59356.4442555.99856.3252555.998
0.3656.601856.621656.64856.64856.63756.59356.619456.648
0.3756.7571256.9406457.14457.14457.069656.64856.8513657.144
0.3857.2053257.2885457.36357.36357.341157.14457.2184657.363
0.3957.442957.5345557.59857.59857.5862557.36357.4264557.598
0.457.639657.681257.70257.70257.70257.59857.618857.702
0.4157.766457.823857.84257.84257.85157.70257.720257.842
0.4257.935658.011258.02258.02258.058758.02257.852858.022
0.4358.2348658.3899558.38958.38958.4032558.38958.4830558.389
0.4458.449858.4961658.48458.48458.514458.48458.6238458.484
0.4558.590458.6718558.63658.63658.6957558.63658.8391558.636
0.4658.8176458.8917258.87558.87558.897858.87558.9342858.875
0.4758.9373258.9950858.95158.95159.004258.95159.0589258.951
0.4859.0847659.2941659.10359.10359.315459.10359.4428459.103
0.4959.6021460.3684459.63459.63460.402659.63460.6075659.634
0.561.34261.61261.34261.61261.61261.34261.61261.612
0.5161.883561.8962561.90761.90761.8957561.88261.8927561.907
0.5261.9571662.1745262.32562.32562.157861.90762.0574862.325
0.5362.3653262.4840462.54962.54962.470662.32562.3899662.549
0.5462.5749262.6332462.65762.65762.624662.54962.5727662.657
0.5562.800763.0641563.13663.13663.0162562.65762.7288563.136
0.5663.2562463.4432863.4763.4763.403263.13663.1627263.47
0.5763.5754263.7184963.72163.72163.6833563.4763.4725163.721
0.5863.8462863.9999463.98263.98263.955963.72164.2630663.982
0.5964.1434664.447464.28164.28164.2660564.28165.394664.281
0.665.04965.608865.56165.56165.56165.56165.752265.561
0.6165.7187465.9306865.865.865.824265.866.1533265.8
0.6266.1484866.481266.28466.28466.34266.28466.666866.284
0.6366.736466.9115666.86466.86466.881466.86466.9324466.864
0.6466.9614466.9891266.9866.9866.983866.9866.9898866.98
0.6566.997167.038666.99966.99967.01766.99967.031467.071
0.6667.0681267.2737467.07167.07167.169167.07167.1952667.398
0.6767.4005467.4856367.52567.52567.4424567.39867.4373767.525
0.6867.5268467.5424867.54867.54867.534267.52567.5305267.548
0.6967.5547267.5878467.59667.59667.569667.54867.5561667.596
0.767.615667.684267.69467.69467.64567.59667.605867.694
0.7167.716167.7764567.77967.77967.7407567.69467.6965567.779
0.7267.8404467.9983267.97167.97167.894267.77968.6266867.971
0.7368.2305468.7994268.65468.65468.4149567.97169.8305868.654
0.7469.2356869.978769.97669.97669.579468.65469.988369.976
0.7569.983570.1637569.99169.99169.9872569.99170.5092569.991
0.7670.3779671.3504870.68270.68270.543870.68272.1025270.682
0.7771.9771872.8244372.77172.77172.4576572.77172.8545772.771
0.7872.8641673.591172.90872.90872.894372.90873.709972.908
0.7974.006974.7825574.39374.39374.3187574.39374.7384575.128
0.874.98175.158675.12875.12875.12875.12875.148475.179
0.8175.1718675.2212175.17975.17975.1821575.17975.1997975.242
0.8275.2369675.323475.24275.24275.25375.24275.270675.352
0.8375.349875.489775.35275.35275.377575.35275.384375.522
0.8475.52475.56675.57275.57275.53275.52275.52875.572
0.8575.635376.1733576.20576.20575.7302575.57275.6036576.205
0.8676.4584477.8000277.78977.78976.680276.20578.3289877.789
0.8777.9102278.4183978.3478.3477.9818577.78979.1326178.34
0.8878.5838879.3370879.21179.21178.688478.3479.8729279.211
0.8979.4789280.0033779.99979.99979.565679.21180.0136379.999
0.980.006680.044780.01880.01880.008579.99980.080380.018
0.9180.0589480.3008880.10780.10780.0669580.01880.4371280.107
0.9280.3794881.0740880.63180.63180.421480.63181.1949280.631
0.9381.2150682.3183481.63881.63881.2855581.63882.2916682.972
0.9482.4917688.2082482.97282.97282.571882.97286.7637692
0.9589.2916101.1929289.7439296.9106
0.96102.64158.56106106103.2106126.44179
0.97165.86284.07179179168.05179206.93312
0.98296.04471.96312312298.7312338.04498
0.99486.84757.47498498488.7498517.53777



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')