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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, 22 Dec 2011 15:16:49 -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/22/t1324585071a0ul2jc622t3lkg.htm/, Retrieved Fri, 03 May 2024 08:25:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=159941, Retrieved Fri, 03 May 2024 08:25:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsAandeel Umicore
Estimated Impact109

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [Bad example of Hi...] [2010-09-25 09:28:23] [b98453cac15ba1066b407e146608df68]
- R P   [Histogram] [Workshop 1: Task 3] [2011-10-04 18:01:03] [f722e8e78b9e5c5ebaa2263f273aa636]
-         [Histogram] [Paper: Histogram] [2011-12-21 11:23:29] [f722e8e78b9e5c5ebaa2263f273aa636]
- RMPD      [Univariate Data Series] [Paper: Run Sequen...] [2011-12-21 23:42:11] [f722e8e78b9e5c5ebaa2263f273aa636]
- R           [Univariate Data Series] [Paper: Run Sequen...] [2011-12-21 23:57:05] [f722e8e78b9e5c5ebaa2263f273aa636]
- RMP             [Percentiles] [Paper: Q-Q plot] [2011-12-22 20:16:49] [3e64eea457df40fcb7af8f28e1ee6256] [Current]
- R  D              [Percentiles] [Paper: Q-Q plot] [2011-12-22 20:18:50] [f722e8e78b9e5c5ebaa2263f273aa636]
-   PD                [Percentiles] [Paper: Q-Q plot G...] [2011-12-23 09:01:45] [f722e8e78b9e5c5ebaa2263f273aa636]
- R  D              [Percentiles] [Paper: Q-Q plot] [2011-12-22 20:20:03] [f722e8e78b9e5c5ebaa2263f273aa636]
-   PD                [Percentiles] [Paper: Q-Q plot Z...] [2011-12-23 09:02:43] [f722e8e78b9e5c5ebaa2263f273aa636]
-    D                  [Percentiles] [Paper: Q-Q plot V...] [2011-12-23 09:03:44] [f722e8e78b9e5c5ebaa2263f273aa636]
- RM D                  [Kendall tau Correlation Matrix] [Paper: Pearson Co...] [2011-12-23 09:39:07] [f722e8e78b9e5c5ebaa2263f273aa636]
- R  D              [Percentiles] [Paper: Q-Q plot] [2011-12-22 20:21:30] [f722e8e78b9e5c5ebaa2263f273aa636]
- R PD              [Percentiles] [Paper: Q-Q plot] [2011-12-23 08:57:30] [f722e8e78b9e5c5ebaa2263f273aa636]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
20.02
21.40
21.40
21.46
21.46
21.44
21.22
21.46
21.62
21.68
20.98
20.12
19.90
20.98
21.10
20.66
21.38
21.30
21.60
21.50
21.56
21.66
21.60
21.86
21.74
21.74
21.78
21.54
21.70
21.58
21.40
21.52
21.82
23.00
23.40
23.96
24.24
24.50
24.54
24.58
24.38
23.82
24.00
23.96
24.00
24.00
23.30
22.94
23.28
23.38
23.20
23.10
23.14
23.08
23.36
23.76
23.36
23.34
23.78
24.08
23.42
23.36
23.00
22.96
22.92
23.00
23.54
24.18
24.40
24.22
24.40
24.38
23.78
24.38
24.56
24.58
24.18
24.82
25.58
25.12
25.64
25.20
25.28
25.90
26.00
25.88
25.88
25.64
25.86
25.94
25.84
24.98
23.76
23.46
22.58
22.40
22.34
20.76
21.52
21.04
21.68
22.64
23.04
22.00
22.58
22.34
22.88
22.52
21.90
21.60
20.92
20.78
20.58
19.09
19.16
20.20
19.86
19.79
20.10
19.75
19.60
19.96
19.86
19.74
19.84
20.40
20.88
21.20
21.28
20.64
20.96
21.14
21.06
20.94
21.36
20.52
20.16
19.71
19.89
20.46
20.16
19.84
20.08
20.16
20.24
20.24
20.00
19.81
20.08
19.93
19.87
20.06
19.59
19.50
19.41
19.24
19.62
19.83
20.22
20.68
21.38
21.26
21.52
21.64
21.36
22.56
22.28
22.74
22.22
22.48
22.70
22.94
23.02
22.90
22.92
22.42
22.52
22.06
22.34
22.48
22.96
23.00
23.06
22.90
22.98
23.14
22.92
22.96
23.06
23.48
23.50
23.34
23.54
23.16
23.18
23.46
23.48
23.48
24.06
24.06
24.64
24.54
24.72
23.96
24.54
24.66
24.90
25.06
24.70
24.72
24.78
24.64
24.54
24.32
24.60
24.38
24.26
24.34
24.24
24.96
24.94
24.98
24.70
24.34
24.48
24.68
24.04
24.02
24.22
24.12
24.18
24.22
23.46
22.80
23.30
22.70
22.76
23.32
23.44
23.46
23.18
23.32
23.14
24.32
25.40
25.34
25.74
25.94
25.60
25.56
25.54
25.62
25.78
25.52
25.80
25.94
25.90
24.46
23.72
24.00
24.06
24.44
25.34
25.30
25.00
25.18
25.02
25.36
25.44
25.74
25.56
25.94
26.82
26.32
26.76
26.50
26.92
27.12
27.44
27.52
28.34
29.40
28.52
28.52
28.22
28.16
28.26
27.84
27.36
27.92
27.36
27.60
27.81
27.40
27.58
26.36
25.87
25.36
26.11
25.40
25.40
25.67
26.66
26.16
26.01
26.07
24.73
25.50
25.34
25.79
26.17
26.19
26.63
26.49
26.47
26.84
26.66
26.91
26.62
26.92
27.60
27.52
27.58
28.30
28.25
28.15
27.92
28.28
27.97
27.62
27.51
28.05
27.31
27.60
28.07
29.90
29.52
29.71
30.05
30.30
30.80
31.03
30.22
30.82
31.35
30.93
30.84
30.90
30.63
30.78
31.14
30.90
31.81
31.52
31.27
31.18
31.36
31.45
31.24
31.72
31.76
31.58
31.76
30.56
29.90
30.54
31.05
30.94
31.26
31.92
32.70
32.59
32.50
32.63
32.16
31.60
31.43
31.32
31.01
31.44
32.25
32.01
32.90
34.59
34.40
34.71
34.84
34.02
33.79
34.92
35.30
35.25
35.64
35.39
35.99
35.72
36.36
34.62
34.34
33.18
33.05
33.20
33.60
33.33
32.90
32.64
31.49
32.02
32.08
31.20
30.16
30.58
30.60
29.96
28.06
27.96
29.34
30.28
31.62
32.58
32.74
32.95
31.89
32.80
33.22
33.62
34.34
33.84
34.02
33.70
33.05
32.42
32.50
32.15
32.20
31.89
31.23
31.56
32.66
32.30
32.51
33.32
32.26
33.62
34.00
33.52
33.80
34.50
35.18
35.07
34.91
35.57
35.60
35.77
35.78
35.25
36.31
35.28
36.09
35.00
34.75
33.65
34.36
34.20
34.65
35.32
36.53
35.31
34.40
33.62
34.40
34.30
34.87
34.33
34.03
33.05
32.16
31.27
31.41
30.44
30.78
29.64
29.57
28.38
29.51
30.76
30.64
30.32
31.18
31.62
31.99
31.50
30.75
31.07
31.11
31.51
31.51
31.45
30.91
30.52
31.40
30.76
30.74
30.24
32.97
32.88
32.88
33.63
33.72
34.00
33.74
32.85
31.93
31.66
31.40
31.13
30.85
30.71
30.60
29.55
28.29
28.47
27.71
26.30
26.70
26.30
27.90
28.73
29.14
30.65
29.80
30.42
31.48
31.67
30.60
31.59
31.31
30.98
30.70
31.88
32.43
30.31
29.64
30.18
31.21
31.82
32.24
32.01
32.18
33.21
33.57
32.66
33.79
33.81
33.82
34.88
33.45
32.65
31.60
32.02
32.90
32.68
33.09
31.03
31.80
31.36
30.31
31.31
31.84
32.47
32.21
32.96
32.85
32.68
32.01
32.35
33.12
32.61
32.58
33.00
33.30
32.71
33.11
33.44
33.79
33.93
33.84
34.20
31.75
31.12
30.55
31.84
33.55
34.31
35.25
35.09
34.70
34.26
34.75
33.30
34.14
35.06
35.03
33.96
34.83
35.84
35.53
37.10
35.85
34.77
33.95
34.20
34.30
35.09
35.16
34.96
36.02
35.97
36.41
35.84
35.33
35.33
35.05
35.26
34.48
34.96
34.98
33.79
33.14
33.34
33.31
32.27
32.07
31.37
31.17
31.40
29.90
29.90
28.98
28.84
30.04
29.56
30.59
29.71
28.73
29.25
28.12
27.81
29.04
29.00
29.41
29.50
29.49
27.89
28.77
28.70
28.82
28.79
28.94
26.89
24.98
25.52
26.39
26.52
25.00
25.85
25.70
25.70
26.36
26.34
26.22
25.47
25.40
28.41
28.90
28.76
29.15
29.99
29.57
29.97
29.55
29.29
28.68
27.13
25.68
27.04
25.58
25.57
25.60
26.67
25.64
24.96
23.14
22.12
24.59
24.70
23.21
22.68
22.41
21.46
19.71
21.59
20.93
20.32
20.09
18.20
17.52
16.47
16.80
16.03
17.82
17.71
16.77
15.16
14.83
14.57
14.98
13.76
12.87
12.59
11.25
11.60
12.50
13.80
13.96
13.72
15.30
14.69
13.17
13.28
14.76
14.16
13.43
14.14
14.34
13.14
13.27
12.01
10.27
10.35
11.55
11.89
12.79
13.89
14.11
12.55
12.59
12.73
13.23
12.00
13.07
13.55
13.92
13.80
12.92
13.78
14.06
14.18
13.61
13.65
13.00
12.90
13.05
13.53
14.20
14.07
14.88
15.22
15.94
15.34
15.14
14.74
15.13
14.60
14.15
13.21
13.22
12.50
12.42
13.17
13.05
13.26
14.12
14.10
14.55
14.42
14.61
13.90
14.52
15.25
14.91
15.75
15.49
15.55
15.95
14.38
14.68
15.16
14.25
14.23
13.93
13.50
13.10
12.68
12.48
12.60
12.05
11.96
11.89
13.19
12.13
12.12
12.08
12.98
13.14
13.24
12.96
13.13
12.94
12.88
13.27
13.61
14.19
14.30
14.10
14.42
14.25
13.26
13.91
13.43
14.35
14.95
14.09
13.83
14.05
15.55
16.50
16.51
16.40
16.92
15.68
16.51
16.85
16.68
17.07
16.85
15.53
15.68
14.98
16.12
16.72
17.53
17.54
17.37
16.48
16.01
14.98
15.17
15.69
16.18
16.28
16.80
16.15
16.40
16.33
16.09
16.52
16.34
16.88
17.56
17.90
17.33
16.63
17.00
16.95
16.85
17.45
18.08
18.25
17.28
16.51
15.61
15.33
15.89
15.25
15.38
16.09
15.88
15.90
16.15
16.17
16.57
16.10
15.66
15.19
15.64
14.79
15.02
14.60
15.00
15.36
16.19
16.28
16.24
16.62
16.80
16.52
16.93
17.12
17.23
16.76
16.90
17.45
18.32
18.56
18.66
18.52
19.25
18.78
18.50
18.20
18.31
19.50
19.07
18.01
18.26
18.56
18.83
18.96
19.19
19.03
18.52
18.55
18.88
18.89
18.30
17.80
18.02
18.23
18.72
19.29
19.12
19.15
19.57
19.53
19.76
20.33
20.42
20.26
19.73
19.76
19.58
19.47
19.50
20.26
20.36
20.46
20.21
19.51
19.49
20.59
20.40
21.06
21.16
21.72
21.80
22.34
22.23
22.39
22.56
22.40
22.10
21.10
21.95
21.68
21.26
20.80
21.50
20.75
21.28
21.00
21.95
21.72
21.67
23.06
22.85
23.32
23.06
23.02
23.82
24.21
24.32
23.71
23.61
24.09
23.36
23.84
22.89
22.99
22.67
23.73
24.08
23.64
23.58
23.26
23.00
23.38
23.21
23.63
23.88
23.83
24.02
23.39
23.45
23.74
23.68
23.71
23.75
23.83
24.12
23.58
23.40
24.90
25.06
25.10
24.92
25.46
25.89
25.39
25.38
25.25
24.88
25.00
25.00
24.07
23.60
23.18
23.25
23.04
22.77
22.25
22.41
22.50
22.91
22.88
21.69
21.19
21.56
22.00
22.13
22.27
22.30
21.94
22.40
22.77
22.90
23.03
23.05
22.41
22.26
21.90
22.01
22.62
22.76
23.40
23.63
24.05
23.82
23.71
23.95
23.61
23.98
23.56
23.99
24.33
24.48
24.31
24.38
24.63
25.54
25.75
25.73
25.85
25.78
25.86
26.86
27.36
27.38
26.58
27.65
27.73
27.18
27.32
27.30
26.90
26.70
26.75
26.41
26.29
27.51
27.91
27.70
27.28
28.25
27.62
27.30
25.94
24.99
25.50
24.42
26.58
25.84
26.76
26.74
26.68
25.55
26.40
25.19
23.94
24.20
24.20
23.07
24.07
25.02
24.65
24.68
24.63
24.49
25.05
24.31
23.90
23.68
24.50
25.22
25.48
26.00
26.07
26.06
26.22
26.70
27.20
26.77
26.11
25.43
24.99
25.51
24.00
23.86
22.96
23.41
23.17
24.12
23.87
24.27
24.40
24.16
25.15
25.09
24.60
24.33
24.14
24.36
25.40
26.15
26.77
26.94
26.33
26.24
26.23
25.88
27.00
26.91
27.15
27.78
28.73
28.83
28.68
27.56
27.15
27.41
27.47
28.76
28.47
27.94
27.23
27.01
26.15
26.11
27.20
27.36
27.33
27.43
28.92
29.45
29.01
29.25
29.14
29.64
30.40
30.62
31.25
31.75
31.30
30.70
31.03
31.46
31.28
31.03
30.95
31.17
31.29
31.91
32.10
31.71
31.90
32.02
32.65
33.77
33.51
34.26
34.21
34.13
34.73
34.73
34.57
34.80
33.98
34.40
34.21
34.61
35.25
35.23
35.00
34.52
33.82
34.35
34.81
34.96
36.69
36.42
36.44
37.41
36.40
36.15
35.78
36.95
36.14
36.36
37.31
37.58
38.00
37.23
37.00
37.87
37.70
36.17
36.56
37.70
38.77
39.02
39.88
39.56
38.52
37.20
38.58
39.41
39.08
38.81
38.73
38.70
39.23
39.82
39.97
40.37
39.54
39.21
39.07
39.78
39.40
38.92

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'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159941&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159941&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159941&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'Herman Ole Andreas Wold' @ wold.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)
0.0112.11212.112412.1212.1212.127912.1212.087612.12
0.0212.83812.839612.8712.8712.875812.8712.820412.87
0.0313.13413.134313.1413.1413.1413.1313.135713.13
0.0413.27213.272413.2813.2813.30413.2713.277613.27
0.0513.813.813.813.813.813.813.813.8
0.0614.09814.098614.114.114.114.114.091414.1
0.0714.2814.283514.314.314.321214.314.266514.3
0.0814.68414.684814.6914.6914.70614.6814.685214.68
0.0915.04215.051915.1315.1315.131115.0215.098115.02
0.115.3615.36215.3615.3715.37815.3615.37815.36
0.1115.85415.868315.8815.8815.886915.8815.761715.88
0.1216.16216.164416.1716.1716.174816.1716.155616.17
0.1316.50416.505316.5116.5116.5116.516.504716.51
0.1416.816.816.816.816.816.816.816.8
0.1517.1217.136517.1217.17517.213517.1217.213517.12
0.1617.81617.819217.8217.8217.871217.8217.800817.82
0.1718.42818.458618.518.518.508618.518.361418.5
0.1818.98819.000619.0319.0319.038818.9618.989419.03
0.1919.49219.493919.519.519.519.4919.496119.49
0.219.7319.73219.7319.73519.73819.7319.73819.73
0.2119.88619.890119.8919.8919.895919.8919.899919.89
0.2220.1620.1620.1620.1620.1620.1620.1620.16
0.2320.420.420.420.420.403420.420.420.4
0.2420.78420.788820.820.820.799220.7820.791220.78
0.2521.121.121.121.121.121.121.121.1
0.2621.3621.361221.3621.3621.370821.3621.378821.36
0.2721.51221.517421.5221.5221.5221.5221.502621.52
0.2821.64821.653621.6621.6621.661221.6421.646421.66
0.2921.80421.809821.8221.8221.818221.821.810221.8
0.322.1222.12322.1222.12522.12722.1222.12722.12
0.3122.3822.391122.3922.3922.394922.3922.398922.39
0.3222.54422.556822.5622.5622.5622.5622.523222.56
0.3322.76422.767322.7722.7722.7722.7622.762722.77
0.3422.9222.9222.9222.9222.9222.9222.9222.92
0.352323232323232323
0.3623.07823.083223.0823.0823.088823.0823.096823.08
0.3723.2123.2123.2123.2123.219223.2123.2123.21
0.3823.3623.3623.3623.3623.3623.3623.3623.36
0.3923.4623.4623.4623.4623.4623.4623.4623.46
0.423.623.60423.623.60523.60623.623.60623.6
0.4123.73823.742123.7423.7423.743923.7423.747923.74
0.4223.86623.870223.8723.8723.871823.8723.879823.87
0.432424242424242424
0.4424.08224.086424.0924.0924.087624.0824.083624.09
0.4524.2224.2224.2224.2224.2224.2224.2224.22
0.4624.3324.332624.3324.3324.333424.3324.337424.33
0.4724.43224.441424.4424.4424.442624.4424.458624.44
0.4824.5824.5824.5824.5824.5824.5824.5824.58
0.4924.724.724.724.724.724.724.724.7
0.524.9624.9624.9624.9624.9624.9624.9624.96
0.5125.04425.053125.0525.0525.052925.0525.056925.05
0.5225.29225.304825.325.325.303225.325.335225.3
0.5325.41225.427925.4325.4325.426125.425.402125.43
0.5425.55225.557425.5625.5625.556625.5525.552625.56
0.5525.6825.69125.6825.6925.68925.6825.68925.7
0.5625.84825.8525.8525.8525.8525.8525.8525.85
0.5725.9425.9425.9425.9425.9425.9425.9425.94
0.5826.1526.1526.1526.1526.1526.1526.1526.15
0.5926.33226.337926.3426.3426.336126.3326.332126.34
0.626.6226.62626.6226.62526.62426.6226.62426.63
0.6126.76826.7726.7726.7726.7726.7726.7726.77
0.6227.00627.016627.0127.0127.009827.0127.033427.01
0.6327.30427.310327.3127.3127.307727.327.319727.31
0.6427.47827.503627.5127.5127.492427.4727.476427.51
0.6527.6527.682527.6527.67527.667527.6527.667527.7
0.6627.93627.949227.9427.9427.942827.9427.950827.94
0.6728.27228.282728.2828.2828.278628.2828.287328.28
0.6828.71228.7328.7328.7328.721628.728.7328.73
0.6928.94828.975628.9828.9828.960428.9428.944428.98
0.729.4129.43829.4129.4329.42229.4129.42229.45
0.7129.6429.675729.6429.6429.646329.6429.674329.71
0.7230.11630.166430.1630.1630.146830.1630.173630.16
0.7330.52830.541330.5430.5430.533430.5230.548730.54
0.7430.730.730.730.730.730.730.730.7
0.7530.930.930.930.930.930.930.930.9
0.7631.06631.092431.0731.0731.071631.0731.087631.11
0.7731.24631.253731.2531.2531.248331.2531.256331.25
0.7831.36431.375431.3731.3731.366231.3631.394631.37
0.7931.50231.509931.5131.5131.504131.531.500131.51
0.831.7131.71831.7131.71531.71231.7131.71231.72
0.8131.8931.896131.8931.8931.8931.8931.893931.9
0.8232.07632.088432.0832.0832.077832.0832.091632.08
0.8332.3232.366132.3532.3532.328532.332.403932.35
0.8432.64232.6532.6532.6532.643632.6432.6532.65
0.8532.8832.8832.8832.8832.8832.8832.8832.88
0.8633.10633.116633.1133.1133.108833.1133.113433.12
0.8733.433.444733.4433.4433.41333.4433.445333.44
0.8833.70833.725633.7233.7233.710433.733.734433.72
0.8933.85833.931833.9333.9333.867933.8433.948233.93
0.934.234.234.234.234.234.234.234.2
0.9134.35834.388434.3634.3634.358934.3634.371634.4
0.9234.6834.705234.734.734.68434.734.704834.71
0.9334.89234.913334.9134.9134.894134.8834.916734.91
0.9435.0935.099835.0935.0935.0935.0935.150235.09
0.9535.3235.329535.3235.32535.320535.3235.320535.33
0.9635.8435.847635.8435.8435.8435.8435.842435.85
0.9736.40636.415736.4136.4136.406336.4136.414336.42
0.9837.47837.625637.5837.5837.481437.4137.654437.58
0.9939.0339.071939.0739.0739.030539.0239.078139.07

\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 & 12.112 & 12.1124 & 12.12 & 12.12 & 12.1279 & 12.12 & 12.0876 & 12.12 \tabularnewline
0.02 & 12.838 & 12.8396 & 12.87 & 12.87 & 12.8758 & 12.87 & 12.8204 & 12.87 \tabularnewline
0.03 & 13.134 & 13.1343 & 13.14 & 13.14 & 13.14 & 13.13 & 13.1357 & 13.13 \tabularnewline
0.04 & 13.272 & 13.2724 & 13.28 & 13.28 & 13.304 & 13.27 & 13.2776 & 13.27 \tabularnewline
0.05 & 13.8 & 13.8 & 13.8 & 13.8 & 13.8 & 13.8 & 13.8 & 13.8 \tabularnewline
0.06 & 14.098 & 14.0986 & 14.1 & 14.1 & 14.1 & 14.1 & 14.0914 & 14.1 \tabularnewline
0.07 & 14.28 & 14.2835 & 14.3 & 14.3 & 14.3212 & 14.3 & 14.2665 & 14.3 \tabularnewline
0.08 & 14.684 & 14.6848 & 14.69 & 14.69 & 14.706 & 14.68 & 14.6852 & 14.68 \tabularnewline
0.09 & 15.042 & 15.0519 & 15.13 & 15.13 & 15.1311 & 15.02 & 15.0981 & 15.02 \tabularnewline
0.1 & 15.36 & 15.362 & 15.36 & 15.37 & 15.378 & 15.36 & 15.378 & 15.36 \tabularnewline
0.11 & 15.854 & 15.8683 & 15.88 & 15.88 & 15.8869 & 15.88 & 15.7617 & 15.88 \tabularnewline
0.12 & 16.162 & 16.1644 & 16.17 & 16.17 & 16.1748 & 16.17 & 16.1556 & 16.17 \tabularnewline
0.13 & 16.504 & 16.5053 & 16.51 & 16.51 & 16.51 & 16.5 & 16.5047 & 16.51 \tabularnewline
0.14 & 16.8 & 16.8 & 16.8 & 16.8 & 16.8 & 16.8 & 16.8 & 16.8 \tabularnewline
0.15 & 17.12 & 17.1365 & 17.12 & 17.175 & 17.2135 & 17.12 & 17.2135 & 17.12 \tabularnewline
0.16 & 17.816 & 17.8192 & 17.82 & 17.82 & 17.8712 & 17.82 & 17.8008 & 17.82 \tabularnewline
0.17 & 18.428 & 18.4586 & 18.5 & 18.5 & 18.5086 & 18.5 & 18.3614 & 18.5 \tabularnewline
0.18 & 18.988 & 19.0006 & 19.03 & 19.03 & 19.0388 & 18.96 & 18.9894 & 19.03 \tabularnewline
0.19 & 19.492 & 19.4939 & 19.5 & 19.5 & 19.5 & 19.49 & 19.4961 & 19.49 \tabularnewline
0.2 & 19.73 & 19.732 & 19.73 & 19.735 & 19.738 & 19.73 & 19.738 & 19.73 \tabularnewline
0.21 & 19.886 & 19.8901 & 19.89 & 19.89 & 19.8959 & 19.89 & 19.8999 & 19.89 \tabularnewline
0.22 & 20.16 & 20.16 & 20.16 & 20.16 & 20.16 & 20.16 & 20.16 & 20.16 \tabularnewline
0.23 & 20.4 & 20.4 & 20.4 & 20.4 & 20.4034 & 20.4 & 20.4 & 20.4 \tabularnewline
0.24 & 20.784 & 20.7888 & 20.8 & 20.8 & 20.7992 & 20.78 & 20.7912 & 20.78 \tabularnewline
0.25 & 21.1 & 21.1 & 21.1 & 21.1 & 21.1 & 21.1 & 21.1 & 21.1 \tabularnewline
0.26 & 21.36 & 21.3612 & 21.36 & 21.36 & 21.3708 & 21.36 & 21.3788 & 21.36 \tabularnewline
0.27 & 21.512 & 21.5174 & 21.52 & 21.52 & 21.52 & 21.52 & 21.5026 & 21.52 \tabularnewline
0.28 & 21.648 & 21.6536 & 21.66 & 21.66 & 21.6612 & 21.64 & 21.6464 & 21.66 \tabularnewline
0.29 & 21.804 & 21.8098 & 21.82 & 21.82 & 21.8182 & 21.8 & 21.8102 & 21.8 \tabularnewline
0.3 & 22.12 & 22.123 & 22.12 & 22.125 & 22.127 & 22.12 & 22.127 & 22.12 \tabularnewline
0.31 & 22.38 & 22.3911 & 22.39 & 22.39 & 22.3949 & 22.39 & 22.3989 & 22.39 \tabularnewline
0.32 & 22.544 & 22.5568 & 22.56 & 22.56 & 22.56 & 22.56 & 22.5232 & 22.56 \tabularnewline
0.33 & 22.764 & 22.7673 & 22.77 & 22.77 & 22.77 & 22.76 & 22.7627 & 22.77 \tabularnewline
0.34 & 22.92 & 22.92 & 22.92 & 22.92 & 22.92 & 22.92 & 22.92 & 22.92 \tabularnewline
0.35 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.36 & 23.078 & 23.0832 & 23.08 & 23.08 & 23.0888 & 23.08 & 23.0968 & 23.08 \tabularnewline
0.37 & 23.21 & 23.21 & 23.21 & 23.21 & 23.2192 & 23.21 & 23.21 & 23.21 \tabularnewline
0.38 & 23.36 & 23.36 & 23.36 & 23.36 & 23.36 & 23.36 & 23.36 & 23.36 \tabularnewline
0.39 & 23.46 & 23.46 & 23.46 & 23.46 & 23.46 & 23.46 & 23.46 & 23.46 \tabularnewline
0.4 & 23.6 & 23.604 & 23.6 & 23.605 & 23.606 & 23.6 & 23.606 & 23.6 \tabularnewline
0.41 & 23.738 & 23.7421 & 23.74 & 23.74 & 23.7439 & 23.74 & 23.7479 & 23.74 \tabularnewline
0.42 & 23.866 & 23.8702 & 23.87 & 23.87 & 23.8718 & 23.87 & 23.8798 & 23.87 \tabularnewline
0.43 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.44 & 24.082 & 24.0864 & 24.09 & 24.09 & 24.0876 & 24.08 & 24.0836 & 24.09 \tabularnewline
0.45 & 24.22 & 24.22 & 24.22 & 24.22 & 24.22 & 24.22 & 24.22 & 24.22 \tabularnewline
0.46 & 24.33 & 24.3326 & 24.33 & 24.33 & 24.3334 & 24.33 & 24.3374 & 24.33 \tabularnewline
0.47 & 24.432 & 24.4414 & 24.44 & 24.44 & 24.4426 & 24.44 & 24.4586 & 24.44 \tabularnewline
0.48 & 24.58 & 24.58 & 24.58 & 24.58 & 24.58 & 24.58 & 24.58 & 24.58 \tabularnewline
0.49 & 24.7 & 24.7 & 24.7 & 24.7 & 24.7 & 24.7 & 24.7 & 24.7 \tabularnewline
0.5 & 24.96 & 24.96 & 24.96 & 24.96 & 24.96 & 24.96 & 24.96 & 24.96 \tabularnewline
0.51 & 25.044 & 25.0531 & 25.05 & 25.05 & 25.0529 & 25.05 & 25.0569 & 25.05 \tabularnewline
0.52 & 25.292 & 25.3048 & 25.3 & 25.3 & 25.3032 & 25.3 & 25.3352 & 25.3 \tabularnewline
0.53 & 25.412 & 25.4279 & 25.43 & 25.43 & 25.4261 & 25.4 & 25.4021 & 25.43 \tabularnewline
0.54 & 25.552 & 25.5574 & 25.56 & 25.56 & 25.5566 & 25.55 & 25.5526 & 25.56 \tabularnewline
0.55 & 25.68 & 25.691 & 25.68 & 25.69 & 25.689 & 25.68 & 25.689 & 25.7 \tabularnewline
0.56 & 25.848 & 25.85 & 25.85 & 25.85 & 25.85 & 25.85 & 25.85 & 25.85 \tabularnewline
0.57 & 25.94 & 25.94 & 25.94 & 25.94 & 25.94 & 25.94 & 25.94 & 25.94 \tabularnewline
0.58 & 26.15 & 26.15 & 26.15 & 26.15 & 26.15 & 26.15 & 26.15 & 26.15 \tabularnewline
0.59 & 26.332 & 26.3379 & 26.34 & 26.34 & 26.3361 & 26.33 & 26.3321 & 26.34 \tabularnewline
0.6 & 26.62 & 26.626 & 26.62 & 26.625 & 26.624 & 26.62 & 26.624 & 26.63 \tabularnewline
0.61 & 26.768 & 26.77 & 26.77 & 26.77 & 26.77 & 26.77 & 26.77 & 26.77 \tabularnewline
0.62 & 27.006 & 27.0166 & 27.01 & 27.01 & 27.0098 & 27.01 & 27.0334 & 27.01 \tabularnewline
0.63 & 27.304 & 27.3103 & 27.31 & 27.31 & 27.3077 & 27.3 & 27.3197 & 27.31 \tabularnewline
0.64 & 27.478 & 27.5036 & 27.51 & 27.51 & 27.4924 & 27.47 & 27.4764 & 27.51 \tabularnewline
0.65 & 27.65 & 27.6825 & 27.65 & 27.675 & 27.6675 & 27.65 & 27.6675 & 27.7 \tabularnewline
0.66 & 27.936 & 27.9492 & 27.94 & 27.94 & 27.9428 & 27.94 & 27.9508 & 27.94 \tabularnewline
0.67 & 28.272 & 28.2827 & 28.28 & 28.28 & 28.2786 & 28.28 & 28.2873 & 28.28 \tabularnewline
0.68 & 28.712 & 28.73 & 28.73 & 28.73 & 28.7216 & 28.7 & 28.73 & 28.73 \tabularnewline
0.69 & 28.948 & 28.9756 & 28.98 & 28.98 & 28.9604 & 28.94 & 28.9444 & 28.98 \tabularnewline
0.7 & 29.41 & 29.438 & 29.41 & 29.43 & 29.422 & 29.41 & 29.422 & 29.45 \tabularnewline
0.71 & 29.64 & 29.6757 & 29.64 & 29.64 & 29.6463 & 29.64 & 29.6743 & 29.71 \tabularnewline
0.72 & 30.116 & 30.1664 & 30.16 & 30.16 & 30.1468 & 30.16 & 30.1736 & 30.16 \tabularnewline
0.73 & 30.528 & 30.5413 & 30.54 & 30.54 & 30.5334 & 30.52 & 30.5487 & 30.54 \tabularnewline
0.74 & 30.7 & 30.7 & 30.7 & 30.7 & 30.7 & 30.7 & 30.7 & 30.7 \tabularnewline
0.75 & 30.9 & 30.9 & 30.9 & 30.9 & 30.9 & 30.9 & 30.9 & 30.9 \tabularnewline
0.76 & 31.066 & 31.0924 & 31.07 & 31.07 & 31.0716 & 31.07 & 31.0876 & 31.11 \tabularnewline
0.77 & 31.246 & 31.2537 & 31.25 & 31.25 & 31.2483 & 31.25 & 31.2563 & 31.25 \tabularnewline
0.78 & 31.364 & 31.3754 & 31.37 & 31.37 & 31.3662 & 31.36 & 31.3946 & 31.37 \tabularnewline
0.79 & 31.502 & 31.5099 & 31.51 & 31.51 & 31.5041 & 31.5 & 31.5001 & 31.51 \tabularnewline
0.8 & 31.71 & 31.718 & 31.71 & 31.715 & 31.712 & 31.71 & 31.712 & 31.72 \tabularnewline
0.81 & 31.89 & 31.8961 & 31.89 & 31.89 & 31.89 & 31.89 & 31.8939 & 31.9 \tabularnewline
0.82 & 32.076 & 32.0884 & 32.08 & 32.08 & 32.0778 & 32.08 & 32.0916 & 32.08 \tabularnewline
0.83 & 32.32 & 32.3661 & 32.35 & 32.35 & 32.3285 & 32.3 & 32.4039 & 32.35 \tabularnewline
0.84 & 32.642 & 32.65 & 32.65 & 32.65 & 32.6436 & 32.64 & 32.65 & 32.65 \tabularnewline
0.85 & 32.88 & 32.88 & 32.88 & 32.88 & 32.88 & 32.88 & 32.88 & 32.88 \tabularnewline
0.86 & 33.106 & 33.1166 & 33.11 & 33.11 & 33.1088 & 33.11 & 33.1134 & 33.12 \tabularnewline
0.87 & 33.4 & 33.4447 & 33.44 & 33.44 & 33.413 & 33.44 & 33.4453 & 33.44 \tabularnewline
0.88 & 33.708 & 33.7256 & 33.72 & 33.72 & 33.7104 & 33.7 & 33.7344 & 33.72 \tabularnewline
0.89 & 33.858 & 33.9318 & 33.93 & 33.93 & 33.8679 & 33.84 & 33.9482 & 33.93 \tabularnewline
0.9 & 34.2 & 34.2 & 34.2 & 34.2 & 34.2 & 34.2 & 34.2 & 34.2 \tabularnewline
0.91 & 34.358 & 34.3884 & 34.36 & 34.36 & 34.3589 & 34.36 & 34.3716 & 34.4 \tabularnewline
0.92 & 34.68 & 34.7052 & 34.7 & 34.7 & 34.684 & 34.7 & 34.7048 & 34.71 \tabularnewline
0.93 & 34.892 & 34.9133 & 34.91 & 34.91 & 34.8941 & 34.88 & 34.9167 & 34.91 \tabularnewline
0.94 & 35.09 & 35.0998 & 35.09 & 35.09 & 35.09 & 35.09 & 35.1502 & 35.09 \tabularnewline
0.95 & 35.32 & 35.3295 & 35.32 & 35.325 & 35.3205 & 35.32 & 35.3205 & 35.33 \tabularnewline
0.96 & 35.84 & 35.8476 & 35.84 & 35.84 & 35.84 & 35.84 & 35.8424 & 35.85 \tabularnewline
0.97 & 36.406 & 36.4157 & 36.41 & 36.41 & 36.4063 & 36.41 & 36.4143 & 36.42 \tabularnewline
0.98 & 37.478 & 37.6256 & 37.58 & 37.58 & 37.4814 & 37.41 & 37.6544 & 37.58 \tabularnewline
0.99 & 39.03 & 39.0719 & 39.07 & 39.07 & 39.0305 & 39.02 & 39.0781 & 39.07 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159941&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]12.112[/C][C]12.1124[/C][C]12.12[/C][C]12.12[/C][C]12.1279[/C][C]12.12[/C][C]12.0876[/C][C]12.12[/C][/ROW]
[ROW][C]0.02[/C][C]12.838[/C][C]12.8396[/C][C]12.87[/C][C]12.87[/C][C]12.8758[/C][C]12.87[/C][C]12.8204[/C][C]12.87[/C][/ROW]
[ROW][C]0.03[/C][C]13.134[/C][C]13.1343[/C][C]13.14[/C][C]13.14[/C][C]13.14[/C][C]13.13[/C][C]13.1357[/C][C]13.13[/C][/ROW]
[ROW][C]0.04[/C][C]13.272[/C][C]13.2724[/C][C]13.28[/C][C]13.28[/C][C]13.304[/C][C]13.27[/C][C]13.2776[/C][C]13.27[/C][/ROW]
[ROW][C]0.05[/C][C]13.8[/C][C]13.8[/C][C]13.8[/C][C]13.8[/C][C]13.8[/C][C]13.8[/C][C]13.8[/C][C]13.8[/C][/ROW]
[ROW][C]0.06[/C][C]14.098[/C][C]14.0986[/C][C]14.1[/C][C]14.1[/C][C]14.1[/C][C]14.1[/C][C]14.0914[/C][C]14.1[/C][/ROW]
[ROW][C]0.07[/C][C]14.28[/C][C]14.2835[/C][C]14.3[/C][C]14.3[/C][C]14.3212[/C][C]14.3[/C][C]14.2665[/C][C]14.3[/C][/ROW]
[ROW][C]0.08[/C][C]14.684[/C][C]14.6848[/C][C]14.69[/C][C]14.69[/C][C]14.706[/C][C]14.68[/C][C]14.6852[/C][C]14.68[/C][/ROW]
[ROW][C]0.09[/C][C]15.042[/C][C]15.0519[/C][C]15.13[/C][C]15.13[/C][C]15.1311[/C][C]15.02[/C][C]15.0981[/C][C]15.02[/C][/ROW]
[ROW][C]0.1[/C][C]15.36[/C][C]15.362[/C][C]15.36[/C][C]15.37[/C][C]15.378[/C][C]15.36[/C][C]15.378[/C][C]15.36[/C][/ROW]
[ROW][C]0.11[/C][C]15.854[/C][C]15.8683[/C][C]15.88[/C][C]15.88[/C][C]15.8869[/C][C]15.88[/C][C]15.7617[/C][C]15.88[/C][/ROW]
[ROW][C]0.12[/C][C]16.162[/C][C]16.1644[/C][C]16.17[/C][C]16.17[/C][C]16.1748[/C][C]16.17[/C][C]16.1556[/C][C]16.17[/C][/ROW]
[ROW][C]0.13[/C][C]16.504[/C][C]16.5053[/C][C]16.51[/C][C]16.51[/C][C]16.51[/C][C]16.5[/C][C]16.5047[/C][C]16.51[/C][/ROW]
[ROW][C]0.14[/C][C]16.8[/C][C]16.8[/C][C]16.8[/C][C]16.8[/C][C]16.8[/C][C]16.8[/C][C]16.8[/C][C]16.8[/C][/ROW]
[ROW][C]0.15[/C][C]17.12[/C][C]17.1365[/C][C]17.12[/C][C]17.175[/C][C]17.2135[/C][C]17.12[/C][C]17.2135[/C][C]17.12[/C][/ROW]
[ROW][C]0.16[/C][C]17.816[/C][C]17.8192[/C][C]17.82[/C][C]17.82[/C][C]17.8712[/C][C]17.82[/C][C]17.8008[/C][C]17.82[/C][/ROW]
[ROW][C]0.17[/C][C]18.428[/C][C]18.4586[/C][C]18.5[/C][C]18.5[/C][C]18.5086[/C][C]18.5[/C][C]18.3614[/C][C]18.5[/C][/ROW]
[ROW][C]0.18[/C][C]18.988[/C][C]19.0006[/C][C]19.03[/C][C]19.03[/C][C]19.0388[/C][C]18.96[/C][C]18.9894[/C][C]19.03[/C][/ROW]
[ROW][C]0.19[/C][C]19.492[/C][C]19.4939[/C][C]19.5[/C][C]19.5[/C][C]19.5[/C][C]19.49[/C][C]19.4961[/C][C]19.49[/C][/ROW]
[ROW][C]0.2[/C][C]19.73[/C][C]19.732[/C][C]19.73[/C][C]19.735[/C][C]19.738[/C][C]19.73[/C][C]19.738[/C][C]19.73[/C][/ROW]
[ROW][C]0.21[/C][C]19.886[/C][C]19.8901[/C][C]19.89[/C][C]19.89[/C][C]19.8959[/C][C]19.89[/C][C]19.8999[/C][C]19.89[/C][/ROW]
[ROW][C]0.22[/C][C]20.16[/C][C]20.16[/C][C]20.16[/C][C]20.16[/C][C]20.16[/C][C]20.16[/C][C]20.16[/C][C]20.16[/C][/ROW]
[ROW][C]0.23[/C][C]20.4[/C][C]20.4[/C][C]20.4[/C][C]20.4[/C][C]20.4034[/C][C]20.4[/C][C]20.4[/C][C]20.4[/C][/ROW]
[ROW][C]0.24[/C][C]20.784[/C][C]20.7888[/C][C]20.8[/C][C]20.8[/C][C]20.7992[/C][C]20.78[/C][C]20.7912[/C][C]20.78[/C][/ROW]
[ROW][C]0.25[/C][C]21.1[/C][C]21.1[/C][C]21.1[/C][C]21.1[/C][C]21.1[/C][C]21.1[/C][C]21.1[/C][C]21.1[/C][/ROW]
[ROW][C]0.26[/C][C]21.36[/C][C]21.3612[/C][C]21.36[/C][C]21.36[/C][C]21.3708[/C][C]21.36[/C][C]21.3788[/C][C]21.36[/C][/ROW]
[ROW][C]0.27[/C][C]21.512[/C][C]21.5174[/C][C]21.52[/C][C]21.52[/C][C]21.52[/C][C]21.52[/C][C]21.5026[/C][C]21.52[/C][/ROW]
[ROW][C]0.28[/C][C]21.648[/C][C]21.6536[/C][C]21.66[/C][C]21.66[/C][C]21.6612[/C][C]21.64[/C][C]21.6464[/C][C]21.66[/C][/ROW]
[ROW][C]0.29[/C][C]21.804[/C][C]21.8098[/C][C]21.82[/C][C]21.82[/C][C]21.8182[/C][C]21.8[/C][C]21.8102[/C][C]21.8[/C][/ROW]
[ROW][C]0.3[/C][C]22.12[/C][C]22.123[/C][C]22.12[/C][C]22.125[/C][C]22.127[/C][C]22.12[/C][C]22.127[/C][C]22.12[/C][/ROW]
[ROW][C]0.31[/C][C]22.38[/C][C]22.3911[/C][C]22.39[/C][C]22.39[/C][C]22.3949[/C][C]22.39[/C][C]22.3989[/C][C]22.39[/C][/ROW]
[ROW][C]0.32[/C][C]22.544[/C][C]22.5568[/C][C]22.56[/C][C]22.56[/C][C]22.56[/C][C]22.56[/C][C]22.5232[/C][C]22.56[/C][/ROW]
[ROW][C]0.33[/C][C]22.764[/C][C]22.7673[/C][C]22.77[/C][C]22.77[/C][C]22.77[/C][C]22.76[/C][C]22.7627[/C][C]22.77[/C][/ROW]
[ROW][C]0.34[/C][C]22.92[/C][C]22.92[/C][C]22.92[/C][C]22.92[/C][C]22.92[/C][C]22.92[/C][C]22.92[/C][C]22.92[/C][/ROW]
[ROW][C]0.35[/C][C]23[/C][C]23[/C][C]23[/C][C]23[/C][C]23[/C][C]23[/C][C]23[/C][C]23[/C][/ROW]
[ROW][C]0.36[/C][C]23.078[/C][C]23.0832[/C][C]23.08[/C][C]23.08[/C][C]23.0888[/C][C]23.08[/C][C]23.0968[/C][C]23.08[/C][/ROW]
[ROW][C]0.37[/C][C]23.21[/C][C]23.21[/C][C]23.21[/C][C]23.21[/C][C]23.2192[/C][C]23.21[/C][C]23.21[/C][C]23.21[/C][/ROW]
[ROW][C]0.38[/C][C]23.36[/C][C]23.36[/C][C]23.36[/C][C]23.36[/C][C]23.36[/C][C]23.36[/C][C]23.36[/C][C]23.36[/C][/ROW]
[ROW][C]0.39[/C][C]23.46[/C][C]23.46[/C][C]23.46[/C][C]23.46[/C][C]23.46[/C][C]23.46[/C][C]23.46[/C][C]23.46[/C][/ROW]
[ROW][C]0.4[/C][C]23.6[/C][C]23.604[/C][C]23.6[/C][C]23.605[/C][C]23.606[/C][C]23.6[/C][C]23.606[/C][C]23.6[/C][/ROW]
[ROW][C]0.41[/C][C]23.738[/C][C]23.7421[/C][C]23.74[/C][C]23.74[/C][C]23.7439[/C][C]23.74[/C][C]23.7479[/C][C]23.74[/C][/ROW]
[ROW][C]0.42[/C][C]23.866[/C][C]23.8702[/C][C]23.87[/C][C]23.87[/C][C]23.8718[/C][C]23.87[/C][C]23.8798[/C][C]23.87[/C][/ROW]
[ROW][C]0.43[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][/ROW]
[ROW][C]0.44[/C][C]24.082[/C][C]24.0864[/C][C]24.09[/C][C]24.09[/C][C]24.0876[/C][C]24.08[/C][C]24.0836[/C][C]24.09[/C][/ROW]
[ROW][C]0.45[/C][C]24.22[/C][C]24.22[/C][C]24.22[/C][C]24.22[/C][C]24.22[/C][C]24.22[/C][C]24.22[/C][C]24.22[/C][/ROW]
[ROW][C]0.46[/C][C]24.33[/C][C]24.3326[/C][C]24.33[/C][C]24.33[/C][C]24.3334[/C][C]24.33[/C][C]24.3374[/C][C]24.33[/C][/ROW]
[ROW][C]0.47[/C][C]24.432[/C][C]24.4414[/C][C]24.44[/C][C]24.44[/C][C]24.4426[/C][C]24.44[/C][C]24.4586[/C][C]24.44[/C][/ROW]
[ROW][C]0.48[/C][C]24.58[/C][C]24.58[/C][C]24.58[/C][C]24.58[/C][C]24.58[/C][C]24.58[/C][C]24.58[/C][C]24.58[/C][/ROW]
[ROW][C]0.49[/C][C]24.7[/C][C]24.7[/C][C]24.7[/C][C]24.7[/C][C]24.7[/C][C]24.7[/C][C]24.7[/C][C]24.7[/C][/ROW]
[ROW][C]0.5[/C][C]24.96[/C][C]24.96[/C][C]24.96[/C][C]24.96[/C][C]24.96[/C][C]24.96[/C][C]24.96[/C][C]24.96[/C][/ROW]
[ROW][C]0.51[/C][C]25.044[/C][C]25.0531[/C][C]25.05[/C][C]25.05[/C][C]25.0529[/C][C]25.05[/C][C]25.0569[/C][C]25.05[/C][/ROW]
[ROW][C]0.52[/C][C]25.292[/C][C]25.3048[/C][C]25.3[/C][C]25.3[/C][C]25.3032[/C][C]25.3[/C][C]25.3352[/C][C]25.3[/C][/ROW]
[ROW][C]0.53[/C][C]25.412[/C][C]25.4279[/C][C]25.43[/C][C]25.43[/C][C]25.4261[/C][C]25.4[/C][C]25.4021[/C][C]25.43[/C][/ROW]
[ROW][C]0.54[/C][C]25.552[/C][C]25.5574[/C][C]25.56[/C][C]25.56[/C][C]25.5566[/C][C]25.55[/C][C]25.5526[/C][C]25.56[/C][/ROW]
[ROW][C]0.55[/C][C]25.68[/C][C]25.691[/C][C]25.68[/C][C]25.69[/C][C]25.689[/C][C]25.68[/C][C]25.689[/C][C]25.7[/C][/ROW]
[ROW][C]0.56[/C][C]25.848[/C][C]25.85[/C][C]25.85[/C][C]25.85[/C][C]25.85[/C][C]25.85[/C][C]25.85[/C][C]25.85[/C][/ROW]
[ROW][C]0.57[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][/ROW]
[ROW][C]0.58[/C][C]26.15[/C][C]26.15[/C][C]26.15[/C][C]26.15[/C][C]26.15[/C][C]26.15[/C][C]26.15[/C][C]26.15[/C][/ROW]
[ROW][C]0.59[/C][C]26.332[/C][C]26.3379[/C][C]26.34[/C][C]26.34[/C][C]26.3361[/C][C]26.33[/C][C]26.3321[/C][C]26.34[/C][/ROW]
[ROW][C]0.6[/C][C]26.62[/C][C]26.626[/C][C]26.62[/C][C]26.625[/C][C]26.624[/C][C]26.62[/C][C]26.624[/C][C]26.63[/C][/ROW]
[ROW][C]0.61[/C][C]26.768[/C][C]26.77[/C][C]26.77[/C][C]26.77[/C][C]26.77[/C][C]26.77[/C][C]26.77[/C][C]26.77[/C][/ROW]
[ROW][C]0.62[/C][C]27.006[/C][C]27.0166[/C][C]27.01[/C][C]27.01[/C][C]27.0098[/C][C]27.01[/C][C]27.0334[/C][C]27.01[/C][/ROW]
[ROW][C]0.63[/C][C]27.304[/C][C]27.3103[/C][C]27.31[/C][C]27.31[/C][C]27.3077[/C][C]27.3[/C][C]27.3197[/C][C]27.31[/C][/ROW]
[ROW][C]0.64[/C][C]27.478[/C][C]27.5036[/C][C]27.51[/C][C]27.51[/C][C]27.4924[/C][C]27.47[/C][C]27.4764[/C][C]27.51[/C][/ROW]
[ROW][C]0.65[/C][C]27.65[/C][C]27.6825[/C][C]27.65[/C][C]27.675[/C][C]27.6675[/C][C]27.65[/C][C]27.6675[/C][C]27.7[/C][/ROW]
[ROW][C]0.66[/C][C]27.936[/C][C]27.9492[/C][C]27.94[/C][C]27.94[/C][C]27.9428[/C][C]27.94[/C][C]27.9508[/C][C]27.94[/C][/ROW]
[ROW][C]0.67[/C][C]28.272[/C][C]28.2827[/C][C]28.28[/C][C]28.28[/C][C]28.2786[/C][C]28.28[/C][C]28.2873[/C][C]28.28[/C][/ROW]
[ROW][C]0.68[/C][C]28.712[/C][C]28.73[/C][C]28.73[/C][C]28.73[/C][C]28.7216[/C][C]28.7[/C][C]28.73[/C][C]28.73[/C][/ROW]
[ROW][C]0.69[/C][C]28.948[/C][C]28.9756[/C][C]28.98[/C][C]28.98[/C][C]28.9604[/C][C]28.94[/C][C]28.9444[/C][C]28.98[/C][/ROW]
[ROW][C]0.7[/C][C]29.41[/C][C]29.438[/C][C]29.41[/C][C]29.43[/C][C]29.422[/C][C]29.41[/C][C]29.422[/C][C]29.45[/C][/ROW]
[ROW][C]0.71[/C][C]29.64[/C][C]29.6757[/C][C]29.64[/C][C]29.64[/C][C]29.6463[/C][C]29.64[/C][C]29.6743[/C][C]29.71[/C][/ROW]
[ROW][C]0.72[/C][C]30.116[/C][C]30.1664[/C][C]30.16[/C][C]30.16[/C][C]30.1468[/C][C]30.16[/C][C]30.1736[/C][C]30.16[/C][/ROW]
[ROW][C]0.73[/C][C]30.528[/C][C]30.5413[/C][C]30.54[/C][C]30.54[/C][C]30.5334[/C][C]30.52[/C][C]30.5487[/C][C]30.54[/C][/ROW]
[ROW][C]0.74[/C][C]30.7[/C][C]30.7[/C][C]30.7[/C][C]30.7[/C][C]30.7[/C][C]30.7[/C][C]30.7[/C][C]30.7[/C][/ROW]
[ROW][C]0.75[/C][C]30.9[/C][C]30.9[/C][C]30.9[/C][C]30.9[/C][C]30.9[/C][C]30.9[/C][C]30.9[/C][C]30.9[/C][/ROW]
[ROW][C]0.76[/C][C]31.066[/C][C]31.0924[/C][C]31.07[/C][C]31.07[/C][C]31.0716[/C][C]31.07[/C][C]31.0876[/C][C]31.11[/C][/ROW]
[ROW][C]0.77[/C][C]31.246[/C][C]31.2537[/C][C]31.25[/C][C]31.25[/C][C]31.2483[/C][C]31.25[/C][C]31.2563[/C][C]31.25[/C][/ROW]
[ROW][C]0.78[/C][C]31.364[/C][C]31.3754[/C][C]31.37[/C][C]31.37[/C][C]31.3662[/C][C]31.36[/C][C]31.3946[/C][C]31.37[/C][/ROW]
[ROW][C]0.79[/C][C]31.502[/C][C]31.5099[/C][C]31.51[/C][C]31.51[/C][C]31.5041[/C][C]31.5[/C][C]31.5001[/C][C]31.51[/C][/ROW]
[ROW][C]0.8[/C][C]31.71[/C][C]31.718[/C][C]31.71[/C][C]31.715[/C][C]31.712[/C][C]31.71[/C][C]31.712[/C][C]31.72[/C][/ROW]
[ROW][C]0.81[/C][C]31.89[/C][C]31.8961[/C][C]31.89[/C][C]31.89[/C][C]31.89[/C][C]31.89[/C][C]31.8939[/C][C]31.9[/C][/ROW]
[ROW][C]0.82[/C][C]32.076[/C][C]32.0884[/C][C]32.08[/C][C]32.08[/C][C]32.0778[/C][C]32.08[/C][C]32.0916[/C][C]32.08[/C][/ROW]
[ROW][C]0.83[/C][C]32.32[/C][C]32.3661[/C][C]32.35[/C][C]32.35[/C][C]32.3285[/C][C]32.3[/C][C]32.4039[/C][C]32.35[/C][/ROW]
[ROW][C]0.84[/C][C]32.642[/C][C]32.65[/C][C]32.65[/C][C]32.65[/C][C]32.6436[/C][C]32.64[/C][C]32.65[/C][C]32.65[/C][/ROW]
[ROW][C]0.85[/C][C]32.88[/C][C]32.88[/C][C]32.88[/C][C]32.88[/C][C]32.88[/C][C]32.88[/C][C]32.88[/C][C]32.88[/C][/ROW]
[ROW][C]0.86[/C][C]33.106[/C][C]33.1166[/C][C]33.11[/C][C]33.11[/C][C]33.1088[/C][C]33.11[/C][C]33.1134[/C][C]33.12[/C][/ROW]
[ROW][C]0.87[/C][C]33.4[/C][C]33.4447[/C][C]33.44[/C][C]33.44[/C][C]33.413[/C][C]33.44[/C][C]33.4453[/C][C]33.44[/C][/ROW]
[ROW][C]0.88[/C][C]33.708[/C][C]33.7256[/C][C]33.72[/C][C]33.72[/C][C]33.7104[/C][C]33.7[/C][C]33.7344[/C][C]33.72[/C][/ROW]
[ROW][C]0.89[/C][C]33.858[/C][C]33.9318[/C][C]33.93[/C][C]33.93[/C][C]33.8679[/C][C]33.84[/C][C]33.9482[/C][C]33.93[/C][/ROW]
[ROW][C]0.9[/C][C]34.2[/C][C]34.2[/C][C]34.2[/C][C]34.2[/C][C]34.2[/C][C]34.2[/C][C]34.2[/C][C]34.2[/C][/ROW]
[ROW][C]0.91[/C][C]34.358[/C][C]34.3884[/C][C]34.36[/C][C]34.36[/C][C]34.3589[/C][C]34.36[/C][C]34.3716[/C][C]34.4[/C][/ROW]
[ROW][C]0.92[/C][C]34.68[/C][C]34.7052[/C][C]34.7[/C][C]34.7[/C][C]34.684[/C][C]34.7[/C][C]34.7048[/C][C]34.71[/C][/ROW]
[ROW][C]0.93[/C][C]34.892[/C][C]34.9133[/C][C]34.91[/C][C]34.91[/C][C]34.8941[/C][C]34.88[/C][C]34.9167[/C][C]34.91[/C][/ROW]
[ROW][C]0.94[/C][C]35.09[/C][C]35.0998[/C][C]35.09[/C][C]35.09[/C][C]35.09[/C][C]35.09[/C][C]35.1502[/C][C]35.09[/C][/ROW]
[ROW][C]0.95[/C][C]35.32[/C][C]35.3295[/C][C]35.32[/C][C]35.325[/C][C]35.3205[/C][C]35.32[/C][C]35.3205[/C][C]35.33[/C][/ROW]
[ROW][C]0.96[/C][C]35.84[/C][C]35.8476[/C][C]35.84[/C][C]35.84[/C][C]35.84[/C][C]35.84[/C][C]35.8424[/C][C]35.85[/C][/ROW]
[ROW][C]0.97[/C][C]36.406[/C][C]36.4157[/C][C]36.41[/C][C]36.41[/C][C]36.4063[/C][C]36.41[/C][C]36.4143[/C][C]36.42[/C][/ROW]
[ROW][C]0.98[/C][C]37.478[/C][C]37.6256[/C][C]37.58[/C][C]37.58[/C][C]37.4814[/C][C]37.41[/C][C]37.6544[/C][C]37.58[/C][/ROW]
[ROW][C]0.99[/C][C]39.03[/C][C]39.0719[/C][C]39.07[/C][C]39.07[/C][C]39.0305[/C][C]39.02[/C][C]39.0781[/C][C]39.07[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159941&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159941&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)
0.0112.11212.112412.1212.1212.127912.1212.087612.12
0.0212.83812.839612.8712.8712.875812.8712.820412.87
0.0313.13413.134313.1413.1413.1413.1313.135713.13
0.0413.27213.272413.2813.2813.30413.2713.277613.27
0.0513.813.813.813.813.813.813.813.8
0.0614.09814.098614.114.114.114.114.091414.1
0.0714.2814.283514.314.314.321214.314.266514.3
0.0814.68414.684814.6914.6914.70614.6814.685214.68
0.0915.04215.051915.1315.1315.131115.0215.098115.02
0.115.3615.36215.3615.3715.37815.3615.37815.36
0.1115.85415.868315.8815.8815.886915.8815.761715.88
0.1216.16216.164416.1716.1716.174816.1716.155616.17
0.1316.50416.505316.5116.5116.5116.516.504716.51
0.1416.816.816.816.816.816.816.816.8
0.1517.1217.136517.1217.17517.213517.1217.213517.12
0.1617.81617.819217.8217.8217.871217.8217.800817.82
0.1718.42818.458618.518.518.508618.518.361418.5
0.1818.98819.000619.0319.0319.038818.9618.989419.03
0.1919.49219.493919.519.519.519.4919.496119.49
0.219.7319.73219.7319.73519.73819.7319.73819.73
0.2119.88619.890119.8919.8919.895919.8919.899919.89
0.2220.1620.1620.1620.1620.1620.1620.1620.16
0.2320.420.420.420.420.403420.420.420.4
0.2420.78420.788820.820.820.799220.7820.791220.78
0.2521.121.121.121.121.121.121.121.1
0.2621.3621.361221.3621.3621.370821.3621.378821.36
0.2721.51221.517421.5221.5221.5221.5221.502621.52
0.2821.64821.653621.6621.6621.661221.6421.646421.66
0.2921.80421.809821.8221.8221.818221.821.810221.8
0.322.1222.12322.1222.12522.12722.1222.12722.12
0.3122.3822.391122.3922.3922.394922.3922.398922.39
0.3222.54422.556822.5622.5622.5622.5622.523222.56
0.3322.76422.767322.7722.7722.7722.7622.762722.77
0.3422.9222.9222.9222.9222.9222.9222.9222.92
0.352323232323232323
0.3623.07823.083223.0823.0823.088823.0823.096823.08
0.3723.2123.2123.2123.2123.219223.2123.2123.21
0.3823.3623.3623.3623.3623.3623.3623.3623.36
0.3923.4623.4623.4623.4623.4623.4623.4623.46
0.423.623.60423.623.60523.60623.623.60623.6
0.4123.73823.742123.7423.7423.743923.7423.747923.74
0.4223.86623.870223.8723.8723.871823.8723.879823.87
0.432424242424242424
0.4424.08224.086424.0924.0924.087624.0824.083624.09
0.4524.2224.2224.2224.2224.2224.2224.2224.22
0.4624.3324.332624.3324.3324.333424.3324.337424.33
0.4724.43224.441424.4424.4424.442624.4424.458624.44
0.4824.5824.5824.5824.5824.5824.5824.5824.58
0.4924.724.724.724.724.724.724.724.7
0.524.9624.9624.9624.9624.9624.9624.9624.96
0.5125.04425.053125.0525.0525.052925.0525.056925.05
0.5225.29225.304825.325.325.303225.325.335225.3
0.5325.41225.427925.4325.4325.426125.425.402125.43
0.5425.55225.557425.5625.5625.556625.5525.552625.56
0.5525.6825.69125.6825.6925.68925.6825.68925.7
0.5625.84825.8525.8525.8525.8525.8525.8525.85
0.5725.9425.9425.9425.9425.9425.9425.9425.94
0.5826.1526.1526.1526.1526.1526.1526.1526.15
0.5926.33226.337926.3426.3426.336126.3326.332126.34
0.626.6226.62626.6226.62526.62426.6226.62426.63
0.6126.76826.7726.7726.7726.7726.7726.7726.77
0.6227.00627.016627.0127.0127.009827.0127.033427.01
0.6327.30427.310327.3127.3127.307727.327.319727.31
0.6427.47827.503627.5127.5127.492427.4727.476427.51
0.6527.6527.682527.6527.67527.667527.6527.667527.7
0.6627.93627.949227.9427.9427.942827.9427.950827.94
0.6728.27228.282728.2828.2828.278628.2828.287328.28
0.6828.71228.7328.7328.7328.721628.728.7328.73
0.6928.94828.975628.9828.9828.960428.9428.944428.98
0.729.4129.43829.4129.4329.42229.4129.42229.45
0.7129.6429.675729.6429.6429.646329.6429.674329.71
0.7230.11630.166430.1630.1630.146830.1630.173630.16
0.7330.52830.541330.5430.5430.533430.5230.548730.54
0.7430.730.730.730.730.730.730.730.7
0.7530.930.930.930.930.930.930.930.9
0.7631.06631.092431.0731.0731.071631.0731.087631.11
0.7731.24631.253731.2531.2531.248331.2531.256331.25
0.7831.36431.375431.3731.3731.366231.3631.394631.37
0.7931.50231.509931.5131.5131.504131.531.500131.51
0.831.7131.71831.7131.71531.71231.7131.71231.72
0.8131.8931.896131.8931.8931.8931.8931.893931.9
0.8232.07632.088432.0832.0832.077832.0832.091632.08
0.8332.3232.366132.3532.3532.328532.332.403932.35
0.8432.64232.6532.6532.6532.643632.6432.6532.65
0.8532.8832.8832.8832.8832.8832.8832.8832.88
0.8633.10633.116633.1133.1133.108833.1133.113433.12
0.8733.433.444733.4433.4433.41333.4433.445333.44
0.8833.70833.725633.7233.7233.710433.733.734433.72
0.8933.85833.931833.9333.9333.867933.8433.948233.93
0.934.234.234.234.234.234.234.234.2
0.9134.35834.388434.3634.3634.358934.3634.371634.4
0.9234.6834.705234.734.734.68434.734.704834.71
0.9334.89234.913334.9134.9134.894134.8834.916734.91
0.9435.0935.099835.0935.0935.0935.0935.150235.09
0.9535.3235.329535.3235.32535.320535.3235.320535.33
0.9635.8435.847635.8435.8435.8435.8435.842435.85
0.9736.40636.415736.4136.4136.406336.4136.414336.42
0.9837.47837.625637.5837.5837.481437.4137.654437.58
0.9939.0339.071939.0739.0739.030539.0239.078139.07


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')