Free Statistics

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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationSat, 17 Dec 2011 09:03:00 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/17/t13241305950eukam4puqel8qv.htm/, Retrieved Fri, 29 Mar 2024 13:33:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156312, Retrieved Fri, 29 Mar 2024 13:33:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact105
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Percentiles] [Percentiles of ti...] [2010-09-25 09:52:29] [b98453cac15ba1066b407e146608df68]
- R PD    [Percentiles] [] [2011-12-17 14:03:00] [86c924663d3d275e16f9cde57b3a6185] [Current]
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Dataseries X:
53,23
79,18
93,8
121,91
120,58
95,93
91,19
90,91
81,12
67,68
68,09
141,8
88,37
52,65
80,19
82,79
86,27
93,43
76,92
64,02
80,54
108,55
70,43
65,21
107,64
148
75,53
68,13
82,44
65,68
97,05
86,59
89,32
87,27
93,8
75,1
139,77
107,46
58,87
81,28
135,23
71,63
44,32
49,63
90,43
87,79
84,57
80,7
98,78
111,48
115,75
119,05
61,35
66,36
88,34
97,15
47,43
73,55
65,49
93,63
76,06
99,27
67,09
45,33
50,62
42,85
52,7
77,59
80,33
115,72
143,48
137,41
129,91
98,57
53,31
65,6
56,34
54,51
58,95
100,19
94,09
76,9
122,63
100,04
109,84
58,26
70,22
63,07
70,06
67,4
79,02
59,74
125,43
121,76
84,08
88,51
72,49
54,55
65,05
116,48
115,8
75,02
68,14
91,12
100,36
83,14
100,86
62,63
71,26
55,12
68,27
151,06
87,55
51,17
59,97
48,3
43,22
86,21
59,68
115,2




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156312&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156312&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156312&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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)
0.0142.92442.927743.2243.2243.42942.8543.142342.85
0.0243.6643.68244.3244.3244.703843.2243.85843.22
0.0344.92644.956345.3345.3346.52745.3344.693745.33
0.0447.0147.09447.4347.4348.091247.4345.66647.43
0.0548.348.366548.348.96549.563548.349.563548.3
0.0649.82849.887450.6250.6250.69749.6350.362649.63
0.0750.8450.878551.1751.1751.658450.6250.911550.62
0.0852.05852.176452.6552.6552.67652.6551.643652.65
0.0952.6952.694552.752.753.076352.752.655552.7
0.153.2353.23853.2353.2753.30253.2353.30253.23
0.1153.5553.68254.5154.5154.513653.3154.13853.31
0.1254.52654.530854.5554.5554.709654.5154.529254.55
0.1354.89254.966155.1255.1255.693455.1254.703955.12
0.1456.09656.266856.3456.3457.607256.3455.193256.34
0.1558.2658.351558.2658.56558.778558.2658.778558.26
0.1658.88658.898858.9558.9558.979258.8758.921258.87
0.1759.24259.366159.6859.6859.693858.9559.263959.68
0.1859.71659.726859.7459.7459.836659.7459.693259.74
0.1959.92459.967759.9759.9760.811859.9759.742359.97
0.261.3561.60661.3561.9962.37461.3562.37461.35
0.2162.71862.810463.0763.0763.065662.6362.889662.63
0.2263.4563.65964.0264.0264.205463.0763.43164.02
0.2364.63864.874965.0565.0565.109265.0564.195165.05
0.2465.17865.221265.2165.2165.366865.2165.478865.21
0.2565.4965.517565.4965.54565.572565.4965.572565.49
0.2665.61665.636865.6865.6865.675265.665.643265.6
0.2765.95266.135666.3666.3666.454965.6865.904466.36
0.2866.79867.002467.0967.0967.189267.0966.447667.09
0.2967.33867.425267.467.467.542867.467.654867.4
0.367.6867.80367.6867.88567.96767.6867.96767.68
0.3168.09868.110468.1368.1368.125668.0968.109668.13
0.3268.13468.137268.1468.1468.150468.1368.132868.14
0.3368.21868.260968.2768.2768.753368.2768.149168.27
0.3469.70270.082470.0670.0670.133670.0670.197670.06
0.3570.2270.293570.2270.32570.356570.2270.356570.22
0.3670.59670.894871.2671.2671.127270.4370.795271.26
0.3771.40871.544971.6371.6371.655871.2671.345171.63
0.3872.14672.472872.4972.4972.723272.4971.647272.49
0.3973.33873.829373.5573.5574.152773.5574.740773.55
0.475.0275.05275.0275.0675.06875.0275.06875.02
0.4175.18675.362375.5375.5375.439775.175.267775.53
0.4275.74275.964676.0676.0676.049475.5375.625476.06
0.4376.56476.900676.976.976.903476.976.919476.9
0.4476.91677.080876.9276.9277.161276.9277.429276.92
0.4577.5978.233577.5978.30578.376577.5978.376577.59
0.4679.05279.125679.1879.1879.138479.0279.074479.18
0.4779.58480.058780.1980.1980.119379.1879.311380.19
0.4880.27480.346880.3380.3380.355280.3380.523280.33
0.4980.49880.586480.5480.5480.589680.5480.653680.54
0.580.780.9180.780.9180.9180.780.9180.91
0.5181.15281.233681.2881.2881.230481.1281.166481.28
0.5281.74482.347282.4482.4482.300881.2881.372882.44
0.5382.6582.835582.7982.7982.814582.7983.094582.79
0.5483.0783.459683.1483.1483.384483.1483.760483.14
0.5584.0884.349584.0884.32584.300584.0884.300584.57
0.5684.89885.816486.2186.2185.619684.5784.963686.21
0.5786.23486.268286.2786.2786.259886.2186.211886.27
0.5886.46286.712486.5986.5986.603686.5987.147686.59
0.5987.13487.379287.2787.2787.328887.2787.440887.27
0.687.5587.69487.5587.6787.64687.5587.64687.79
0.6187.988.235588.3488.3488.114587.7987.894588.34
0.6288.35288.372888.3788.3788.363488.3488.507288.37
0.6388.45488.696388.5188.5188.505888.5189.133788.51
0.6489.15889.808489.3289.3289.497689.3289.941689.32
0.6590.4390.74290.4390.6790.59890.4390.59890.91
0.6690.95291.090691.1291.1291.023490.9190.939491.12
0.6791.14891.346891.1991.1991.171191.1293.273291.19
0.6892.53493.48693.4393.4393.250893.4393.57493.43
0.6993.5993.713393.6393.6393.648793.6393.716793.63
0.793.893.893.893.893.893.893.893.8
0.7193.85894.063994.0994.0993.942193.893.826194.09
0.7294.82696.064495.9395.9395.341294.0996.915695.93
0.7396.60297.08397.0597.0596.904497.0597.11797.05
0.7497.1397.916897.1597.1597.235297.1597.803298.57
0.7598.5798.727598.5798.67598.622598.5798.622598.78
0.7698.87899.250499.2799.2798.995698.7898.799699.27
0.7799.578100.0655100.04100.0499.755199.27100.1645100.04
0.78100.13100.2546100.19100.19100.163100.19100.2954100.19
0.79100.326100.655100.36100.36100.365100.36100.565100.86
0.8100.86106.14100.86104.16102.18100.86102.18107.46
0.81107.496107.6491107.64107.64107.5302107.46108.5409107.64
0.82108.004108.8338108.55108.55108.1678107.64109.5562108.55
0.83109.324110.5452109.84109.84109.5433109.84110.7748109.84
0.84111.152113.8608111.48111.48111.4144111.48112.8192115.2
0.85115.2115.642115.2115.46115.278115.2115.278115.72
0.86115.726115.753115.75115.75115.7302115.72115.797115.75
0.87115.77115.9836115.8115.8115.7765115.75116.2964115.8
0.88116.208117.7136116.48116.48116.2896116.48117.8164116.48
0.89118.536120.1057119.05119.05118.8187119.05119.5243120.58
0.9120.58121.642120.58121.17120.698120.58120.698121.76
0.91121.79121.9892121.91121.91121.8035121.76122.5508121.91
0.92122.198123.526122.63122.63122.2556121.91124.534122.63
0.93124.31127.8044125.43125.43124.506125.43127.5356129.91
0.94129.014133.8468129.91129.91129.2828129.91131.2932135.23
0.95135.23137.301135.23136.32135.339135.23135.339137.41
0.96137.882140.0948139.77139.77137.9764137.41141.4752139.77
0.97140.582142.4216141.8141.8140.6429139.77142.8584141.8
0.98142.808146.1016143.48143.48142.8416143.48145.3784148
0.99147.096150.4174148148147.1412148148.6426151.06

\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 & 42.924 & 42.9277 & 43.22 & 43.22 & 43.429 & 42.85 & 43.1423 & 42.85 \tabularnewline
0.02 & 43.66 & 43.682 & 44.32 & 44.32 & 44.7038 & 43.22 & 43.858 & 43.22 \tabularnewline
0.03 & 44.926 & 44.9563 & 45.33 & 45.33 & 46.527 & 45.33 & 44.6937 & 45.33 \tabularnewline
0.04 & 47.01 & 47.094 & 47.43 & 47.43 & 48.0912 & 47.43 & 45.666 & 47.43 \tabularnewline
0.05 & 48.3 & 48.3665 & 48.3 & 48.965 & 49.5635 & 48.3 & 49.5635 & 48.3 \tabularnewline
0.06 & 49.828 & 49.8874 & 50.62 & 50.62 & 50.697 & 49.63 & 50.3626 & 49.63 \tabularnewline
0.07 & 50.84 & 50.8785 & 51.17 & 51.17 & 51.6584 & 50.62 & 50.9115 & 50.62 \tabularnewline
0.08 & 52.058 & 52.1764 & 52.65 & 52.65 & 52.676 & 52.65 & 51.6436 & 52.65 \tabularnewline
0.09 & 52.69 & 52.6945 & 52.7 & 52.7 & 53.0763 & 52.7 & 52.6555 & 52.7 \tabularnewline
0.1 & 53.23 & 53.238 & 53.23 & 53.27 & 53.302 & 53.23 & 53.302 & 53.23 \tabularnewline
0.11 & 53.55 & 53.682 & 54.51 & 54.51 & 54.5136 & 53.31 & 54.138 & 53.31 \tabularnewline
0.12 & 54.526 & 54.5308 & 54.55 & 54.55 & 54.7096 & 54.51 & 54.5292 & 54.55 \tabularnewline
0.13 & 54.892 & 54.9661 & 55.12 & 55.12 & 55.6934 & 55.12 & 54.7039 & 55.12 \tabularnewline
0.14 & 56.096 & 56.2668 & 56.34 & 56.34 & 57.6072 & 56.34 & 55.1932 & 56.34 \tabularnewline
0.15 & 58.26 & 58.3515 & 58.26 & 58.565 & 58.7785 & 58.26 & 58.7785 & 58.26 \tabularnewline
0.16 & 58.886 & 58.8988 & 58.95 & 58.95 & 58.9792 & 58.87 & 58.9212 & 58.87 \tabularnewline
0.17 & 59.242 & 59.3661 & 59.68 & 59.68 & 59.6938 & 58.95 & 59.2639 & 59.68 \tabularnewline
0.18 & 59.716 & 59.7268 & 59.74 & 59.74 & 59.8366 & 59.74 & 59.6932 & 59.74 \tabularnewline
0.19 & 59.924 & 59.9677 & 59.97 & 59.97 & 60.8118 & 59.97 & 59.7423 & 59.97 \tabularnewline
0.2 & 61.35 & 61.606 & 61.35 & 61.99 & 62.374 & 61.35 & 62.374 & 61.35 \tabularnewline
0.21 & 62.718 & 62.8104 & 63.07 & 63.07 & 63.0656 & 62.63 & 62.8896 & 62.63 \tabularnewline
0.22 & 63.45 & 63.659 & 64.02 & 64.02 & 64.2054 & 63.07 & 63.431 & 64.02 \tabularnewline
0.23 & 64.638 & 64.8749 & 65.05 & 65.05 & 65.1092 & 65.05 & 64.1951 & 65.05 \tabularnewline
0.24 & 65.178 & 65.2212 & 65.21 & 65.21 & 65.3668 & 65.21 & 65.4788 & 65.21 \tabularnewline
0.25 & 65.49 & 65.5175 & 65.49 & 65.545 & 65.5725 & 65.49 & 65.5725 & 65.49 \tabularnewline
0.26 & 65.616 & 65.6368 & 65.68 & 65.68 & 65.6752 & 65.6 & 65.6432 & 65.6 \tabularnewline
0.27 & 65.952 & 66.1356 & 66.36 & 66.36 & 66.4549 & 65.68 & 65.9044 & 66.36 \tabularnewline
0.28 & 66.798 & 67.0024 & 67.09 & 67.09 & 67.1892 & 67.09 & 66.4476 & 67.09 \tabularnewline
0.29 & 67.338 & 67.4252 & 67.4 & 67.4 & 67.5428 & 67.4 & 67.6548 & 67.4 \tabularnewline
0.3 & 67.68 & 67.803 & 67.68 & 67.885 & 67.967 & 67.68 & 67.967 & 67.68 \tabularnewline
0.31 & 68.098 & 68.1104 & 68.13 & 68.13 & 68.1256 & 68.09 & 68.1096 & 68.13 \tabularnewline
0.32 & 68.134 & 68.1372 & 68.14 & 68.14 & 68.1504 & 68.13 & 68.1328 & 68.14 \tabularnewline
0.33 & 68.218 & 68.2609 & 68.27 & 68.27 & 68.7533 & 68.27 & 68.1491 & 68.27 \tabularnewline
0.34 & 69.702 & 70.0824 & 70.06 & 70.06 & 70.1336 & 70.06 & 70.1976 & 70.06 \tabularnewline
0.35 & 70.22 & 70.2935 & 70.22 & 70.325 & 70.3565 & 70.22 & 70.3565 & 70.22 \tabularnewline
0.36 & 70.596 & 70.8948 & 71.26 & 71.26 & 71.1272 & 70.43 & 70.7952 & 71.26 \tabularnewline
0.37 & 71.408 & 71.5449 & 71.63 & 71.63 & 71.6558 & 71.26 & 71.3451 & 71.63 \tabularnewline
0.38 & 72.146 & 72.4728 & 72.49 & 72.49 & 72.7232 & 72.49 & 71.6472 & 72.49 \tabularnewline
0.39 & 73.338 & 73.8293 & 73.55 & 73.55 & 74.1527 & 73.55 & 74.7407 & 73.55 \tabularnewline
0.4 & 75.02 & 75.052 & 75.02 & 75.06 & 75.068 & 75.02 & 75.068 & 75.02 \tabularnewline
0.41 & 75.186 & 75.3623 & 75.53 & 75.53 & 75.4397 & 75.1 & 75.2677 & 75.53 \tabularnewline
0.42 & 75.742 & 75.9646 & 76.06 & 76.06 & 76.0494 & 75.53 & 75.6254 & 76.06 \tabularnewline
0.43 & 76.564 & 76.9006 & 76.9 & 76.9 & 76.9034 & 76.9 & 76.9194 & 76.9 \tabularnewline
0.44 & 76.916 & 77.0808 & 76.92 & 76.92 & 77.1612 & 76.92 & 77.4292 & 76.92 \tabularnewline
0.45 & 77.59 & 78.2335 & 77.59 & 78.305 & 78.3765 & 77.59 & 78.3765 & 77.59 \tabularnewline
0.46 & 79.052 & 79.1256 & 79.18 & 79.18 & 79.1384 & 79.02 & 79.0744 & 79.18 \tabularnewline
0.47 & 79.584 & 80.0587 & 80.19 & 80.19 & 80.1193 & 79.18 & 79.3113 & 80.19 \tabularnewline
0.48 & 80.274 & 80.3468 & 80.33 & 80.33 & 80.3552 & 80.33 & 80.5232 & 80.33 \tabularnewline
0.49 & 80.498 & 80.5864 & 80.54 & 80.54 & 80.5896 & 80.54 & 80.6536 & 80.54 \tabularnewline
0.5 & 80.7 & 80.91 & 80.7 & 80.91 & 80.91 & 80.7 & 80.91 & 80.91 \tabularnewline
0.51 & 81.152 & 81.2336 & 81.28 & 81.28 & 81.2304 & 81.12 & 81.1664 & 81.28 \tabularnewline
0.52 & 81.744 & 82.3472 & 82.44 & 82.44 & 82.3008 & 81.28 & 81.3728 & 82.44 \tabularnewline
0.53 & 82.65 & 82.8355 & 82.79 & 82.79 & 82.8145 & 82.79 & 83.0945 & 82.79 \tabularnewline
0.54 & 83.07 & 83.4596 & 83.14 & 83.14 & 83.3844 & 83.14 & 83.7604 & 83.14 \tabularnewline
0.55 & 84.08 & 84.3495 & 84.08 & 84.325 & 84.3005 & 84.08 & 84.3005 & 84.57 \tabularnewline
0.56 & 84.898 & 85.8164 & 86.21 & 86.21 & 85.6196 & 84.57 & 84.9636 & 86.21 \tabularnewline
0.57 & 86.234 & 86.2682 & 86.27 & 86.27 & 86.2598 & 86.21 & 86.2118 & 86.27 \tabularnewline
0.58 & 86.462 & 86.7124 & 86.59 & 86.59 & 86.6036 & 86.59 & 87.1476 & 86.59 \tabularnewline
0.59 & 87.134 & 87.3792 & 87.27 & 87.27 & 87.3288 & 87.27 & 87.4408 & 87.27 \tabularnewline
0.6 & 87.55 & 87.694 & 87.55 & 87.67 & 87.646 & 87.55 & 87.646 & 87.79 \tabularnewline
0.61 & 87.9 & 88.2355 & 88.34 & 88.34 & 88.1145 & 87.79 & 87.8945 & 88.34 \tabularnewline
0.62 & 88.352 & 88.3728 & 88.37 & 88.37 & 88.3634 & 88.34 & 88.5072 & 88.37 \tabularnewline
0.63 & 88.454 & 88.6963 & 88.51 & 88.51 & 88.5058 & 88.51 & 89.1337 & 88.51 \tabularnewline
0.64 & 89.158 & 89.8084 & 89.32 & 89.32 & 89.4976 & 89.32 & 89.9416 & 89.32 \tabularnewline
0.65 & 90.43 & 90.742 & 90.43 & 90.67 & 90.598 & 90.43 & 90.598 & 90.91 \tabularnewline
0.66 & 90.952 & 91.0906 & 91.12 & 91.12 & 91.0234 & 90.91 & 90.9394 & 91.12 \tabularnewline
0.67 & 91.148 & 91.3468 & 91.19 & 91.19 & 91.1711 & 91.12 & 93.2732 & 91.19 \tabularnewline
0.68 & 92.534 & 93.486 & 93.43 & 93.43 & 93.2508 & 93.43 & 93.574 & 93.43 \tabularnewline
0.69 & 93.59 & 93.7133 & 93.63 & 93.63 & 93.6487 & 93.63 & 93.7167 & 93.63 \tabularnewline
0.7 & 93.8 & 93.8 & 93.8 & 93.8 & 93.8 & 93.8 & 93.8 & 93.8 \tabularnewline
0.71 & 93.858 & 94.0639 & 94.09 & 94.09 & 93.9421 & 93.8 & 93.8261 & 94.09 \tabularnewline
0.72 & 94.826 & 96.0644 & 95.93 & 95.93 & 95.3412 & 94.09 & 96.9156 & 95.93 \tabularnewline
0.73 & 96.602 & 97.083 & 97.05 & 97.05 & 96.9044 & 97.05 & 97.117 & 97.05 \tabularnewline
0.74 & 97.13 & 97.9168 & 97.15 & 97.15 & 97.2352 & 97.15 & 97.8032 & 98.57 \tabularnewline
0.75 & 98.57 & 98.7275 & 98.57 & 98.675 & 98.6225 & 98.57 & 98.6225 & 98.78 \tabularnewline
0.76 & 98.878 & 99.2504 & 99.27 & 99.27 & 98.9956 & 98.78 & 98.7996 & 99.27 \tabularnewline
0.77 & 99.578 & 100.0655 & 100.04 & 100.04 & 99.7551 & 99.27 & 100.1645 & 100.04 \tabularnewline
0.78 & 100.13 & 100.2546 & 100.19 & 100.19 & 100.163 & 100.19 & 100.2954 & 100.19 \tabularnewline
0.79 & 100.326 & 100.655 & 100.36 & 100.36 & 100.365 & 100.36 & 100.565 & 100.86 \tabularnewline
0.8 & 100.86 & 106.14 & 100.86 & 104.16 & 102.18 & 100.86 & 102.18 & 107.46 \tabularnewline
0.81 & 107.496 & 107.6491 & 107.64 & 107.64 & 107.5302 & 107.46 & 108.5409 & 107.64 \tabularnewline
0.82 & 108.004 & 108.8338 & 108.55 & 108.55 & 108.1678 & 107.64 & 109.5562 & 108.55 \tabularnewline
0.83 & 109.324 & 110.5452 & 109.84 & 109.84 & 109.5433 & 109.84 & 110.7748 & 109.84 \tabularnewline
0.84 & 111.152 & 113.8608 & 111.48 & 111.48 & 111.4144 & 111.48 & 112.8192 & 115.2 \tabularnewline
0.85 & 115.2 & 115.642 & 115.2 & 115.46 & 115.278 & 115.2 & 115.278 & 115.72 \tabularnewline
0.86 & 115.726 & 115.753 & 115.75 & 115.75 & 115.7302 & 115.72 & 115.797 & 115.75 \tabularnewline
0.87 & 115.77 & 115.9836 & 115.8 & 115.8 & 115.7765 & 115.75 & 116.2964 & 115.8 \tabularnewline
0.88 & 116.208 & 117.7136 & 116.48 & 116.48 & 116.2896 & 116.48 & 117.8164 & 116.48 \tabularnewline
0.89 & 118.536 & 120.1057 & 119.05 & 119.05 & 118.8187 & 119.05 & 119.5243 & 120.58 \tabularnewline
0.9 & 120.58 & 121.642 & 120.58 & 121.17 & 120.698 & 120.58 & 120.698 & 121.76 \tabularnewline
0.91 & 121.79 & 121.9892 & 121.91 & 121.91 & 121.8035 & 121.76 & 122.5508 & 121.91 \tabularnewline
0.92 & 122.198 & 123.526 & 122.63 & 122.63 & 122.2556 & 121.91 & 124.534 & 122.63 \tabularnewline
0.93 & 124.31 & 127.8044 & 125.43 & 125.43 & 124.506 & 125.43 & 127.5356 & 129.91 \tabularnewline
0.94 & 129.014 & 133.8468 & 129.91 & 129.91 & 129.2828 & 129.91 & 131.2932 & 135.23 \tabularnewline
0.95 & 135.23 & 137.301 & 135.23 & 136.32 & 135.339 & 135.23 & 135.339 & 137.41 \tabularnewline
0.96 & 137.882 & 140.0948 & 139.77 & 139.77 & 137.9764 & 137.41 & 141.4752 & 139.77 \tabularnewline
0.97 & 140.582 & 142.4216 & 141.8 & 141.8 & 140.6429 & 139.77 & 142.8584 & 141.8 \tabularnewline
0.98 & 142.808 & 146.1016 & 143.48 & 143.48 & 142.8416 & 143.48 & 145.3784 & 148 \tabularnewline
0.99 & 147.096 & 150.4174 & 148 & 148 & 147.1412 & 148 & 148.6426 & 151.06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156312&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]42.924[/C][C]42.9277[/C][C]43.22[/C][C]43.22[/C][C]43.429[/C][C]42.85[/C][C]43.1423[/C][C]42.85[/C][/ROW]
[ROW][C]0.02[/C][C]43.66[/C][C]43.682[/C][C]44.32[/C][C]44.32[/C][C]44.7038[/C][C]43.22[/C][C]43.858[/C][C]43.22[/C][/ROW]
[ROW][C]0.03[/C][C]44.926[/C][C]44.9563[/C][C]45.33[/C][C]45.33[/C][C]46.527[/C][C]45.33[/C][C]44.6937[/C][C]45.33[/C][/ROW]
[ROW][C]0.04[/C][C]47.01[/C][C]47.094[/C][C]47.43[/C][C]47.43[/C][C]48.0912[/C][C]47.43[/C][C]45.666[/C][C]47.43[/C][/ROW]
[ROW][C]0.05[/C][C]48.3[/C][C]48.3665[/C][C]48.3[/C][C]48.965[/C][C]49.5635[/C][C]48.3[/C][C]49.5635[/C][C]48.3[/C][/ROW]
[ROW][C]0.06[/C][C]49.828[/C][C]49.8874[/C][C]50.62[/C][C]50.62[/C][C]50.697[/C][C]49.63[/C][C]50.3626[/C][C]49.63[/C][/ROW]
[ROW][C]0.07[/C][C]50.84[/C][C]50.8785[/C][C]51.17[/C][C]51.17[/C][C]51.6584[/C][C]50.62[/C][C]50.9115[/C][C]50.62[/C][/ROW]
[ROW][C]0.08[/C][C]52.058[/C][C]52.1764[/C][C]52.65[/C][C]52.65[/C][C]52.676[/C][C]52.65[/C][C]51.6436[/C][C]52.65[/C][/ROW]
[ROW][C]0.09[/C][C]52.69[/C][C]52.6945[/C][C]52.7[/C][C]52.7[/C][C]53.0763[/C][C]52.7[/C][C]52.6555[/C][C]52.7[/C][/ROW]
[ROW][C]0.1[/C][C]53.23[/C][C]53.238[/C][C]53.23[/C][C]53.27[/C][C]53.302[/C][C]53.23[/C][C]53.302[/C][C]53.23[/C][/ROW]
[ROW][C]0.11[/C][C]53.55[/C][C]53.682[/C][C]54.51[/C][C]54.51[/C][C]54.5136[/C][C]53.31[/C][C]54.138[/C][C]53.31[/C][/ROW]
[ROW][C]0.12[/C][C]54.526[/C][C]54.5308[/C][C]54.55[/C][C]54.55[/C][C]54.7096[/C][C]54.51[/C][C]54.5292[/C][C]54.55[/C][/ROW]
[ROW][C]0.13[/C][C]54.892[/C][C]54.9661[/C][C]55.12[/C][C]55.12[/C][C]55.6934[/C][C]55.12[/C][C]54.7039[/C][C]55.12[/C][/ROW]
[ROW][C]0.14[/C][C]56.096[/C][C]56.2668[/C][C]56.34[/C][C]56.34[/C][C]57.6072[/C][C]56.34[/C][C]55.1932[/C][C]56.34[/C][/ROW]
[ROW][C]0.15[/C][C]58.26[/C][C]58.3515[/C][C]58.26[/C][C]58.565[/C][C]58.7785[/C][C]58.26[/C][C]58.7785[/C][C]58.26[/C][/ROW]
[ROW][C]0.16[/C][C]58.886[/C][C]58.8988[/C][C]58.95[/C][C]58.95[/C][C]58.9792[/C][C]58.87[/C][C]58.9212[/C][C]58.87[/C][/ROW]
[ROW][C]0.17[/C][C]59.242[/C][C]59.3661[/C][C]59.68[/C][C]59.68[/C][C]59.6938[/C][C]58.95[/C][C]59.2639[/C][C]59.68[/C][/ROW]
[ROW][C]0.18[/C][C]59.716[/C][C]59.7268[/C][C]59.74[/C][C]59.74[/C][C]59.8366[/C][C]59.74[/C][C]59.6932[/C][C]59.74[/C][/ROW]
[ROW][C]0.19[/C][C]59.924[/C][C]59.9677[/C][C]59.97[/C][C]59.97[/C][C]60.8118[/C][C]59.97[/C][C]59.7423[/C][C]59.97[/C][/ROW]
[ROW][C]0.2[/C][C]61.35[/C][C]61.606[/C][C]61.35[/C][C]61.99[/C][C]62.374[/C][C]61.35[/C][C]62.374[/C][C]61.35[/C][/ROW]
[ROW][C]0.21[/C][C]62.718[/C][C]62.8104[/C][C]63.07[/C][C]63.07[/C][C]63.0656[/C][C]62.63[/C][C]62.8896[/C][C]62.63[/C][/ROW]
[ROW][C]0.22[/C][C]63.45[/C][C]63.659[/C][C]64.02[/C][C]64.02[/C][C]64.2054[/C][C]63.07[/C][C]63.431[/C][C]64.02[/C][/ROW]
[ROW][C]0.23[/C][C]64.638[/C][C]64.8749[/C][C]65.05[/C][C]65.05[/C][C]65.1092[/C][C]65.05[/C][C]64.1951[/C][C]65.05[/C][/ROW]
[ROW][C]0.24[/C][C]65.178[/C][C]65.2212[/C][C]65.21[/C][C]65.21[/C][C]65.3668[/C][C]65.21[/C][C]65.4788[/C][C]65.21[/C][/ROW]
[ROW][C]0.25[/C][C]65.49[/C][C]65.5175[/C][C]65.49[/C][C]65.545[/C][C]65.5725[/C][C]65.49[/C][C]65.5725[/C][C]65.49[/C][/ROW]
[ROW][C]0.26[/C][C]65.616[/C][C]65.6368[/C][C]65.68[/C][C]65.68[/C][C]65.6752[/C][C]65.6[/C][C]65.6432[/C][C]65.6[/C][/ROW]
[ROW][C]0.27[/C][C]65.952[/C][C]66.1356[/C][C]66.36[/C][C]66.36[/C][C]66.4549[/C][C]65.68[/C][C]65.9044[/C][C]66.36[/C][/ROW]
[ROW][C]0.28[/C][C]66.798[/C][C]67.0024[/C][C]67.09[/C][C]67.09[/C][C]67.1892[/C][C]67.09[/C][C]66.4476[/C][C]67.09[/C][/ROW]
[ROW][C]0.29[/C][C]67.338[/C][C]67.4252[/C][C]67.4[/C][C]67.4[/C][C]67.5428[/C][C]67.4[/C][C]67.6548[/C][C]67.4[/C][/ROW]
[ROW][C]0.3[/C][C]67.68[/C][C]67.803[/C][C]67.68[/C][C]67.885[/C][C]67.967[/C][C]67.68[/C][C]67.967[/C][C]67.68[/C][/ROW]
[ROW][C]0.31[/C][C]68.098[/C][C]68.1104[/C][C]68.13[/C][C]68.13[/C][C]68.1256[/C][C]68.09[/C][C]68.1096[/C][C]68.13[/C][/ROW]
[ROW][C]0.32[/C][C]68.134[/C][C]68.1372[/C][C]68.14[/C][C]68.14[/C][C]68.1504[/C][C]68.13[/C][C]68.1328[/C][C]68.14[/C][/ROW]
[ROW][C]0.33[/C][C]68.218[/C][C]68.2609[/C][C]68.27[/C][C]68.27[/C][C]68.7533[/C][C]68.27[/C][C]68.1491[/C][C]68.27[/C][/ROW]
[ROW][C]0.34[/C][C]69.702[/C][C]70.0824[/C][C]70.06[/C][C]70.06[/C][C]70.1336[/C][C]70.06[/C][C]70.1976[/C][C]70.06[/C][/ROW]
[ROW][C]0.35[/C][C]70.22[/C][C]70.2935[/C][C]70.22[/C][C]70.325[/C][C]70.3565[/C][C]70.22[/C][C]70.3565[/C][C]70.22[/C][/ROW]
[ROW][C]0.36[/C][C]70.596[/C][C]70.8948[/C][C]71.26[/C][C]71.26[/C][C]71.1272[/C][C]70.43[/C][C]70.7952[/C][C]71.26[/C][/ROW]
[ROW][C]0.37[/C][C]71.408[/C][C]71.5449[/C][C]71.63[/C][C]71.63[/C][C]71.6558[/C][C]71.26[/C][C]71.3451[/C][C]71.63[/C][/ROW]
[ROW][C]0.38[/C][C]72.146[/C][C]72.4728[/C][C]72.49[/C][C]72.49[/C][C]72.7232[/C][C]72.49[/C][C]71.6472[/C][C]72.49[/C][/ROW]
[ROW][C]0.39[/C][C]73.338[/C][C]73.8293[/C][C]73.55[/C][C]73.55[/C][C]74.1527[/C][C]73.55[/C][C]74.7407[/C][C]73.55[/C][/ROW]
[ROW][C]0.4[/C][C]75.02[/C][C]75.052[/C][C]75.02[/C][C]75.06[/C][C]75.068[/C][C]75.02[/C][C]75.068[/C][C]75.02[/C][/ROW]
[ROW][C]0.41[/C][C]75.186[/C][C]75.3623[/C][C]75.53[/C][C]75.53[/C][C]75.4397[/C][C]75.1[/C][C]75.2677[/C][C]75.53[/C][/ROW]
[ROW][C]0.42[/C][C]75.742[/C][C]75.9646[/C][C]76.06[/C][C]76.06[/C][C]76.0494[/C][C]75.53[/C][C]75.6254[/C][C]76.06[/C][/ROW]
[ROW][C]0.43[/C][C]76.564[/C][C]76.9006[/C][C]76.9[/C][C]76.9[/C][C]76.9034[/C][C]76.9[/C][C]76.9194[/C][C]76.9[/C][/ROW]
[ROW][C]0.44[/C][C]76.916[/C][C]77.0808[/C][C]76.92[/C][C]76.92[/C][C]77.1612[/C][C]76.92[/C][C]77.4292[/C][C]76.92[/C][/ROW]
[ROW][C]0.45[/C][C]77.59[/C][C]78.2335[/C][C]77.59[/C][C]78.305[/C][C]78.3765[/C][C]77.59[/C][C]78.3765[/C][C]77.59[/C][/ROW]
[ROW][C]0.46[/C][C]79.052[/C][C]79.1256[/C][C]79.18[/C][C]79.18[/C][C]79.1384[/C][C]79.02[/C][C]79.0744[/C][C]79.18[/C][/ROW]
[ROW][C]0.47[/C][C]79.584[/C][C]80.0587[/C][C]80.19[/C][C]80.19[/C][C]80.1193[/C][C]79.18[/C][C]79.3113[/C][C]80.19[/C][/ROW]
[ROW][C]0.48[/C][C]80.274[/C][C]80.3468[/C][C]80.33[/C][C]80.33[/C][C]80.3552[/C][C]80.33[/C][C]80.5232[/C][C]80.33[/C][/ROW]
[ROW][C]0.49[/C][C]80.498[/C][C]80.5864[/C][C]80.54[/C][C]80.54[/C][C]80.5896[/C][C]80.54[/C][C]80.6536[/C][C]80.54[/C][/ROW]
[ROW][C]0.5[/C][C]80.7[/C][C]80.91[/C][C]80.7[/C][C]80.91[/C][C]80.91[/C][C]80.7[/C][C]80.91[/C][C]80.91[/C][/ROW]
[ROW][C]0.51[/C][C]81.152[/C][C]81.2336[/C][C]81.28[/C][C]81.28[/C][C]81.2304[/C][C]81.12[/C][C]81.1664[/C][C]81.28[/C][/ROW]
[ROW][C]0.52[/C][C]81.744[/C][C]82.3472[/C][C]82.44[/C][C]82.44[/C][C]82.3008[/C][C]81.28[/C][C]81.3728[/C][C]82.44[/C][/ROW]
[ROW][C]0.53[/C][C]82.65[/C][C]82.8355[/C][C]82.79[/C][C]82.79[/C][C]82.8145[/C][C]82.79[/C][C]83.0945[/C][C]82.79[/C][/ROW]
[ROW][C]0.54[/C][C]83.07[/C][C]83.4596[/C][C]83.14[/C][C]83.14[/C][C]83.3844[/C][C]83.14[/C][C]83.7604[/C][C]83.14[/C][/ROW]
[ROW][C]0.55[/C][C]84.08[/C][C]84.3495[/C][C]84.08[/C][C]84.325[/C][C]84.3005[/C][C]84.08[/C][C]84.3005[/C][C]84.57[/C][/ROW]
[ROW][C]0.56[/C][C]84.898[/C][C]85.8164[/C][C]86.21[/C][C]86.21[/C][C]85.6196[/C][C]84.57[/C][C]84.9636[/C][C]86.21[/C][/ROW]
[ROW][C]0.57[/C][C]86.234[/C][C]86.2682[/C][C]86.27[/C][C]86.27[/C][C]86.2598[/C][C]86.21[/C][C]86.2118[/C][C]86.27[/C][/ROW]
[ROW][C]0.58[/C][C]86.462[/C][C]86.7124[/C][C]86.59[/C][C]86.59[/C][C]86.6036[/C][C]86.59[/C][C]87.1476[/C][C]86.59[/C][/ROW]
[ROW][C]0.59[/C][C]87.134[/C][C]87.3792[/C][C]87.27[/C][C]87.27[/C][C]87.3288[/C][C]87.27[/C][C]87.4408[/C][C]87.27[/C][/ROW]
[ROW][C]0.6[/C][C]87.55[/C][C]87.694[/C][C]87.55[/C][C]87.67[/C][C]87.646[/C][C]87.55[/C][C]87.646[/C][C]87.79[/C][/ROW]
[ROW][C]0.61[/C][C]87.9[/C][C]88.2355[/C][C]88.34[/C][C]88.34[/C][C]88.1145[/C][C]87.79[/C][C]87.8945[/C][C]88.34[/C][/ROW]
[ROW][C]0.62[/C][C]88.352[/C][C]88.3728[/C][C]88.37[/C][C]88.37[/C][C]88.3634[/C][C]88.34[/C][C]88.5072[/C][C]88.37[/C][/ROW]
[ROW][C]0.63[/C][C]88.454[/C][C]88.6963[/C][C]88.51[/C][C]88.51[/C][C]88.5058[/C][C]88.51[/C][C]89.1337[/C][C]88.51[/C][/ROW]
[ROW][C]0.64[/C][C]89.158[/C][C]89.8084[/C][C]89.32[/C][C]89.32[/C][C]89.4976[/C][C]89.32[/C][C]89.9416[/C][C]89.32[/C][/ROW]
[ROW][C]0.65[/C][C]90.43[/C][C]90.742[/C][C]90.43[/C][C]90.67[/C][C]90.598[/C][C]90.43[/C][C]90.598[/C][C]90.91[/C][/ROW]
[ROW][C]0.66[/C][C]90.952[/C][C]91.0906[/C][C]91.12[/C][C]91.12[/C][C]91.0234[/C][C]90.91[/C][C]90.9394[/C][C]91.12[/C][/ROW]
[ROW][C]0.67[/C][C]91.148[/C][C]91.3468[/C][C]91.19[/C][C]91.19[/C][C]91.1711[/C][C]91.12[/C][C]93.2732[/C][C]91.19[/C][/ROW]
[ROW][C]0.68[/C][C]92.534[/C][C]93.486[/C][C]93.43[/C][C]93.43[/C][C]93.2508[/C][C]93.43[/C][C]93.574[/C][C]93.43[/C][/ROW]
[ROW][C]0.69[/C][C]93.59[/C][C]93.7133[/C][C]93.63[/C][C]93.63[/C][C]93.6487[/C][C]93.63[/C][C]93.7167[/C][C]93.63[/C][/ROW]
[ROW][C]0.7[/C][C]93.8[/C][C]93.8[/C][C]93.8[/C][C]93.8[/C][C]93.8[/C][C]93.8[/C][C]93.8[/C][C]93.8[/C][/ROW]
[ROW][C]0.71[/C][C]93.858[/C][C]94.0639[/C][C]94.09[/C][C]94.09[/C][C]93.9421[/C][C]93.8[/C][C]93.8261[/C][C]94.09[/C][/ROW]
[ROW][C]0.72[/C][C]94.826[/C][C]96.0644[/C][C]95.93[/C][C]95.93[/C][C]95.3412[/C][C]94.09[/C][C]96.9156[/C][C]95.93[/C][/ROW]
[ROW][C]0.73[/C][C]96.602[/C][C]97.083[/C][C]97.05[/C][C]97.05[/C][C]96.9044[/C][C]97.05[/C][C]97.117[/C][C]97.05[/C][/ROW]
[ROW][C]0.74[/C][C]97.13[/C][C]97.9168[/C][C]97.15[/C][C]97.15[/C][C]97.2352[/C][C]97.15[/C][C]97.8032[/C][C]98.57[/C][/ROW]
[ROW][C]0.75[/C][C]98.57[/C][C]98.7275[/C][C]98.57[/C][C]98.675[/C][C]98.6225[/C][C]98.57[/C][C]98.6225[/C][C]98.78[/C][/ROW]
[ROW][C]0.76[/C][C]98.878[/C][C]99.2504[/C][C]99.27[/C][C]99.27[/C][C]98.9956[/C][C]98.78[/C][C]98.7996[/C][C]99.27[/C][/ROW]
[ROW][C]0.77[/C][C]99.578[/C][C]100.0655[/C][C]100.04[/C][C]100.04[/C][C]99.7551[/C][C]99.27[/C][C]100.1645[/C][C]100.04[/C][/ROW]
[ROW][C]0.78[/C][C]100.13[/C][C]100.2546[/C][C]100.19[/C][C]100.19[/C][C]100.163[/C][C]100.19[/C][C]100.2954[/C][C]100.19[/C][/ROW]
[ROW][C]0.79[/C][C]100.326[/C][C]100.655[/C][C]100.36[/C][C]100.36[/C][C]100.365[/C][C]100.36[/C][C]100.565[/C][C]100.86[/C][/ROW]
[ROW][C]0.8[/C][C]100.86[/C][C]106.14[/C][C]100.86[/C][C]104.16[/C][C]102.18[/C][C]100.86[/C][C]102.18[/C][C]107.46[/C][/ROW]
[ROW][C]0.81[/C][C]107.496[/C][C]107.6491[/C][C]107.64[/C][C]107.64[/C][C]107.5302[/C][C]107.46[/C][C]108.5409[/C][C]107.64[/C][/ROW]
[ROW][C]0.82[/C][C]108.004[/C][C]108.8338[/C][C]108.55[/C][C]108.55[/C][C]108.1678[/C][C]107.64[/C][C]109.5562[/C][C]108.55[/C][/ROW]
[ROW][C]0.83[/C][C]109.324[/C][C]110.5452[/C][C]109.84[/C][C]109.84[/C][C]109.5433[/C][C]109.84[/C][C]110.7748[/C][C]109.84[/C][/ROW]
[ROW][C]0.84[/C][C]111.152[/C][C]113.8608[/C][C]111.48[/C][C]111.48[/C][C]111.4144[/C][C]111.48[/C][C]112.8192[/C][C]115.2[/C][/ROW]
[ROW][C]0.85[/C][C]115.2[/C][C]115.642[/C][C]115.2[/C][C]115.46[/C][C]115.278[/C][C]115.2[/C][C]115.278[/C][C]115.72[/C][/ROW]
[ROW][C]0.86[/C][C]115.726[/C][C]115.753[/C][C]115.75[/C][C]115.75[/C][C]115.7302[/C][C]115.72[/C][C]115.797[/C][C]115.75[/C][/ROW]
[ROW][C]0.87[/C][C]115.77[/C][C]115.9836[/C][C]115.8[/C][C]115.8[/C][C]115.7765[/C][C]115.75[/C][C]116.2964[/C][C]115.8[/C][/ROW]
[ROW][C]0.88[/C][C]116.208[/C][C]117.7136[/C][C]116.48[/C][C]116.48[/C][C]116.2896[/C][C]116.48[/C][C]117.8164[/C][C]116.48[/C][/ROW]
[ROW][C]0.89[/C][C]118.536[/C][C]120.1057[/C][C]119.05[/C][C]119.05[/C][C]118.8187[/C][C]119.05[/C][C]119.5243[/C][C]120.58[/C][/ROW]
[ROW][C]0.9[/C][C]120.58[/C][C]121.642[/C][C]120.58[/C][C]121.17[/C][C]120.698[/C][C]120.58[/C][C]120.698[/C][C]121.76[/C][/ROW]
[ROW][C]0.91[/C][C]121.79[/C][C]121.9892[/C][C]121.91[/C][C]121.91[/C][C]121.8035[/C][C]121.76[/C][C]122.5508[/C][C]121.91[/C][/ROW]
[ROW][C]0.92[/C][C]122.198[/C][C]123.526[/C][C]122.63[/C][C]122.63[/C][C]122.2556[/C][C]121.91[/C][C]124.534[/C][C]122.63[/C][/ROW]
[ROW][C]0.93[/C][C]124.31[/C][C]127.8044[/C][C]125.43[/C][C]125.43[/C][C]124.506[/C][C]125.43[/C][C]127.5356[/C][C]129.91[/C][/ROW]
[ROW][C]0.94[/C][C]129.014[/C][C]133.8468[/C][C]129.91[/C][C]129.91[/C][C]129.2828[/C][C]129.91[/C][C]131.2932[/C][C]135.23[/C][/ROW]
[ROW][C]0.95[/C][C]135.23[/C][C]137.301[/C][C]135.23[/C][C]136.32[/C][C]135.339[/C][C]135.23[/C][C]135.339[/C][C]137.41[/C][/ROW]
[ROW][C]0.96[/C][C]137.882[/C][C]140.0948[/C][C]139.77[/C][C]139.77[/C][C]137.9764[/C][C]137.41[/C][C]141.4752[/C][C]139.77[/C][/ROW]
[ROW][C]0.97[/C][C]140.582[/C][C]142.4216[/C][C]141.8[/C][C]141.8[/C][C]140.6429[/C][C]139.77[/C][C]142.8584[/C][C]141.8[/C][/ROW]
[ROW][C]0.98[/C][C]142.808[/C][C]146.1016[/C][C]143.48[/C][C]143.48[/C][C]142.8416[/C][C]143.48[/C][C]145.3784[/C][C]148[/C][/ROW]
[ROW][C]0.99[/C][C]147.096[/C][C]150.4174[/C][C]148[/C][C]148[/C][C]147.1412[/C][C]148[/C][C]148.6426[/C][C]151.06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156312&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156312&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)
0.0142.92442.927743.2243.2243.42942.8543.142342.85
0.0243.6643.68244.3244.3244.703843.2243.85843.22
0.0344.92644.956345.3345.3346.52745.3344.693745.33
0.0447.0147.09447.4347.4348.091247.4345.66647.43
0.0548.348.366548.348.96549.563548.349.563548.3
0.0649.82849.887450.6250.6250.69749.6350.362649.63
0.0750.8450.878551.1751.1751.658450.6250.911550.62
0.0852.05852.176452.6552.6552.67652.6551.643652.65
0.0952.6952.694552.752.753.076352.752.655552.7
0.153.2353.23853.2353.2753.30253.2353.30253.23
0.1153.5553.68254.5154.5154.513653.3154.13853.31
0.1254.52654.530854.5554.5554.709654.5154.529254.55
0.1354.89254.966155.1255.1255.693455.1254.703955.12
0.1456.09656.266856.3456.3457.607256.3455.193256.34
0.1558.2658.351558.2658.56558.778558.2658.778558.26
0.1658.88658.898858.9558.9558.979258.8758.921258.87
0.1759.24259.366159.6859.6859.693858.9559.263959.68
0.1859.71659.726859.7459.7459.836659.7459.693259.74
0.1959.92459.967759.9759.9760.811859.9759.742359.97
0.261.3561.60661.3561.9962.37461.3562.37461.35
0.2162.71862.810463.0763.0763.065662.6362.889662.63
0.2263.4563.65964.0264.0264.205463.0763.43164.02
0.2364.63864.874965.0565.0565.109265.0564.195165.05
0.2465.17865.221265.2165.2165.366865.2165.478865.21
0.2565.4965.517565.4965.54565.572565.4965.572565.49
0.2665.61665.636865.6865.6865.675265.665.643265.6
0.2765.95266.135666.3666.3666.454965.6865.904466.36
0.2866.79867.002467.0967.0967.189267.0966.447667.09
0.2967.33867.425267.467.467.542867.467.654867.4
0.367.6867.80367.6867.88567.96767.6867.96767.68
0.3168.09868.110468.1368.1368.125668.0968.109668.13
0.3268.13468.137268.1468.1468.150468.1368.132868.14
0.3368.21868.260968.2768.2768.753368.2768.149168.27
0.3469.70270.082470.0670.0670.133670.0670.197670.06
0.3570.2270.293570.2270.32570.356570.2270.356570.22
0.3670.59670.894871.2671.2671.127270.4370.795271.26
0.3771.40871.544971.6371.6371.655871.2671.345171.63
0.3872.14672.472872.4972.4972.723272.4971.647272.49
0.3973.33873.829373.5573.5574.152773.5574.740773.55
0.475.0275.05275.0275.0675.06875.0275.06875.02
0.4175.18675.362375.5375.5375.439775.175.267775.53
0.4275.74275.964676.0676.0676.049475.5375.625476.06
0.4376.56476.900676.976.976.903476.976.919476.9
0.4476.91677.080876.9276.9277.161276.9277.429276.92
0.4577.5978.233577.5978.30578.376577.5978.376577.59
0.4679.05279.125679.1879.1879.138479.0279.074479.18
0.4779.58480.058780.1980.1980.119379.1879.311380.19
0.4880.27480.346880.3380.3380.355280.3380.523280.33
0.4980.49880.586480.5480.5480.589680.5480.653680.54
0.580.780.9180.780.9180.9180.780.9180.91
0.5181.15281.233681.2881.2881.230481.1281.166481.28
0.5281.74482.347282.4482.4482.300881.2881.372882.44
0.5382.6582.835582.7982.7982.814582.7983.094582.79
0.5483.0783.459683.1483.1483.384483.1483.760483.14
0.5584.0884.349584.0884.32584.300584.0884.300584.57
0.5684.89885.816486.2186.2185.619684.5784.963686.21
0.5786.23486.268286.2786.2786.259886.2186.211886.27
0.5886.46286.712486.5986.5986.603686.5987.147686.59
0.5987.13487.379287.2787.2787.328887.2787.440887.27
0.687.5587.69487.5587.6787.64687.5587.64687.79
0.6187.988.235588.3488.3488.114587.7987.894588.34
0.6288.35288.372888.3788.3788.363488.3488.507288.37
0.6388.45488.696388.5188.5188.505888.5189.133788.51
0.6489.15889.808489.3289.3289.497689.3289.941689.32
0.6590.4390.74290.4390.6790.59890.4390.59890.91
0.6690.95291.090691.1291.1291.023490.9190.939491.12
0.6791.14891.346891.1991.1991.171191.1293.273291.19
0.6892.53493.48693.4393.4393.250893.4393.57493.43
0.6993.5993.713393.6393.6393.648793.6393.716793.63
0.793.893.893.893.893.893.893.893.8
0.7193.85894.063994.0994.0993.942193.893.826194.09
0.7294.82696.064495.9395.9395.341294.0996.915695.93
0.7396.60297.08397.0597.0596.904497.0597.11797.05
0.7497.1397.916897.1597.1597.235297.1597.803298.57
0.7598.5798.727598.5798.67598.622598.5798.622598.78
0.7698.87899.250499.2799.2798.995698.7898.799699.27
0.7799.578100.0655100.04100.0499.755199.27100.1645100.04
0.78100.13100.2546100.19100.19100.163100.19100.2954100.19
0.79100.326100.655100.36100.36100.365100.36100.565100.86
0.8100.86106.14100.86104.16102.18100.86102.18107.46
0.81107.496107.6491107.64107.64107.5302107.46108.5409107.64
0.82108.004108.8338108.55108.55108.1678107.64109.5562108.55
0.83109.324110.5452109.84109.84109.5433109.84110.7748109.84
0.84111.152113.8608111.48111.48111.4144111.48112.8192115.2
0.85115.2115.642115.2115.46115.278115.2115.278115.72
0.86115.726115.753115.75115.75115.7302115.72115.797115.75
0.87115.77115.9836115.8115.8115.7765115.75116.2964115.8
0.88116.208117.7136116.48116.48116.2896116.48117.8164116.48
0.89118.536120.1057119.05119.05118.8187119.05119.5243120.58
0.9120.58121.642120.58121.17120.698120.58120.698121.76
0.91121.79121.9892121.91121.91121.8035121.76122.5508121.91
0.92122.198123.526122.63122.63122.2556121.91124.534122.63
0.93124.31127.8044125.43125.43124.506125.43127.5356129.91
0.94129.014133.8468129.91129.91129.2828129.91131.2932135.23
0.95135.23137.301135.23136.32135.339135.23135.339137.41
0.96137.882140.0948139.77139.77137.9764137.41141.4752139.77
0.97140.582142.4216141.8141.8140.6429139.77142.8584141.8
0.98142.808146.1016143.48143.48142.8416143.48145.3784148
0.99147.096150.4174148148147.1412148148.6426151.06



Parameters (Session):
par2 = grey ; par3 = FALSE ; par4 = Unknown ;
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')