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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationMon, 25 Feb 2008 08:54:35 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Feb/25/t12039551047jf84o65maq0gz5.htm/, Retrieved Sat, 11 May 2024 07:14:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8945, Retrieved Sat, 11 May 2024 07:14:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact172

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Percentiles] [data2 Disk I/O in...] [2008-02-25 15:54:35] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
33.02
22.69
24.54
23.56
23.56
22.83
23.35
23.12
23.44
22.37
25.28
27.80
24.24
23.08
27.79
28.00
32.73
38.45
40.39
29.76
23.75
23.25
23.09
23.82
26.58
23.05
21.07
22.63
23.58
28.57
34.14
24.92
27.25
23.40
25.26
26.81
27.11
34.33
26.47
27.25
30.02
29.35
27.75
23.69
26.94
49.43
26.31
37.37
31.05
23.25
25.36
28.40
23.33
27.90
35.25
56.71
23.51
22.43
29.86
23.37
51.48
54.06
59.83
57.61
68.69
64.71
67.66
74.05
79.17
80.95
79.87
75.87
76.70
75.19
79.22
157.44
75.95
78.05
73.46
71.45
74.47
69.40
48.26
32.60
55.52
62.77
58.41
67.76
71.95
60.07
48.67
55.05
54.77
44.14
49.53
47.04
46.29
46.76
39.34
34.29
33.79
31.54
29.49
31.06
34.10
30.28
29.72
40.37
29.89
29.77
26.16
28.51
25.44
24.05
25.33
24.23
24.20
24.03
31.21
25.54
28.84
27.27
27.77
26.33
23.78
25.75
26.31
26.29
30.44
41.44
62.59
60.95
40.48
27.29
31.17
24.72
26.24
28.55
22.83
24.00
24.18
22.97
23.68
23.90
25.67
21.30
24.94
25.35
21.25
31.30
23.74
22.69
22.67
24.14
23.72
24.15
22.41
32.10
25.77
24.18
25.52
24.11
24.59
23.68
27.12
24.12
24.16
35.98
29.45
24.48
22.71
25.93
23.31
23.03
24.12
25.01
23.52
24.53
30.98
23.25
23.45
24.45
24.67
24.37
23.82
24.71
24.85
25.19
23.24
23.20
25.08
25.11
24.41
26.35
22.36
28.30
25.40
24.60
24.06
25.41
23.97
23.66
25.64
25.27
27.33
24.05
24.38
26.85
25.47
39.26
25.11
23.78
23.81
23.68
23.73
23.54
23.00
33.34
23.06
24.45
24.80
26.26
23.19
24.05
24.41
26.12
23.10
36.31
28.20
23.96
24.57
24.03
25.29
24.38
23.70
23.82
24.62
24.83
30.52
25.27
26.30
24.03
54.01
27.94
23.45
23.90
25.69
24.58
28.93
24.43
22.08
28.27
23.63
23.79
23.35
109.07
22.73
28.87
23.87
24.73
25.50
23.91
90.53
37.44
26.55
22.55
22.96
23.00
24.67
30.38
33.02
22.59
24.47
23.44
24.08
23.60
25.47
36.44
26.04
25.50
24.33
24.88
25.38
24.30
24.74
43.78
24.93
37.83
27.86
23.82
26.54
25.01
24.23
25.24
28.45
26.91
24.83
27.67
35.54
26.44
90.67
24.22
26.43
26.12
25.28
26.43
26.69
26.02
24.95
24.67
25.47
25.10
24.45
25.55
25.83
23.30
25.41
26.85
23.97
25.73
25.37
26.56
27.92
24.63
26.58
25.12
27.26
27.37
24.81
32.11
27.15
24.81
26.13
24.97
25.32
27.18
24.92
33.41
25.04
23.40
24.95
26.03
24.65
24.88
24.90
39.91
26.50
42.79
28.31
23.10
25.27
26.72
24.93
25.42
24.07
26.92
26.71
26.75
31.35
23.36
28.27
27.33
26.14
32.22
27.90
24.07
28.13
31.32
31.25
26.70
23.68
28.06
25.80
26.18
25.73
33.13
24.58
26.75
29.28
28.97
26.71
25.75
25.23
26.86
28.74
24.48
26.20
25.97
23.07
32.97
37.59
28.01
25.52
26.86
28.98
28.41
25.43
32.20
25.55
27.05
27.23
27.09
27.78
27.01
29.35
36.90
35.84
42.25
32.05
26.03
27.82
25.66
26.16
25.11
29.28
25.03
28.80
37.79
39.84
31.73
38.47
25.49
30.06
28.85
55.95
60.64
66.31
76.91
92.23
63.35
67.86
64.38
47.54
21.94
25.69
95.92
24.01
24.01
23.22
22.83
24.49
25.01
26.80
23.47
27.91
25.94
24.42
24.11
25.08
31.09
43.91
26.33
24.22
23.38
26.18
24.44
24.91
35.21
25.22
24.06
23.70
23.07
25.04
26.13
26.06
38.14
23.89
40.01
30.95
26.24
26.34
25.28
29.11
23.59
23.31
22.34
24.42
24.02
31.98
22.65
40.52
24.23
23.14
23.74
24.75
23.71
23.16
23.92
26.70
25.31
26.39
25.17
24.09
23.24
28.57
27.02
25.52
23.12
24.05
23.32
23.93
23.86
23.33
24.75
26.36
23.55
22.97
24.77
24.34
32.40
38.15
26.37
24.14
23.75
25.38
23.67
26.29
33.24
24.80
27.46
23.48
25.38
24.20
25.94
25.88
45.06
27.68
41.42
29.04
24.75
22.78
24.23
25.06
24.57
24.69
23.29
23.09
24.12
29.50
23.06
29.28
24.11
25.65
25.31
23.20
26.11
25.10
26.38
22.73
22.52
23.81
22.09
24.02
23.92
23.99
35.54
23.62
25.79
23.98
24.52
24.95
24.76
23.32
24.27
29.36
23.77
25.93
26.71
24.17
30.42
37.25
25.03
22.77
24.95
24.87
24.22
23.64
31.30
23.90
22.64
26.09
24.57
24.45
24.54
24.62
34.16
25.13
43.14
29.11
25.56
23.50
22.99
23.60
23.94
24.32
24.09
23.66
22.60
32.42
24.78
34.30
49.68
21.73
20.67
22.99
23.47
22.28
20.89
20.87
22.71
21.02
21.37
23.24
21.31
20.72
118.83
22.51
22.29
22.89
24.11
22.97
22.56
23.75
23.10
23.40
22.09
23.58
22.06
21.63
30.67
26.64
25.96
30.74
27.81
28.83
29.33
28.30
38.93
30.18
29.54
30.33
30.97
27.83
30.45
30.09
44.98
28.21
43.11
33.51
30.59
29.61
30.21
31.14
31.15
30.37
31.11
27.85
29.61
35.47
30.94
47.28
29.61
35.16
28.16
28.90
32.52
32.79
31.14
31.65
30.24
28.98
29.04
30.12
29.59
29.54
50.00
29.51
28.45
29.91
29.39
28.51
27.95
29.27
29.85
28.65
27.68
27.94
27.29
28.48
35.56
46.72
28.60
29.07
30.00
31.48
27.34
29.56
36.96
27.17
28.69
27.52
25.08
25.79
23.41
23.51
36.14
25.11
42.16
25.08
24.84
23.04
23.20
24.85
24.92
25.85
21.47
22.69
24.74
29.32
24.73
48.24
25.58
24.66
24.55
25.12
23.44
26.64
24.96
23.85
23.16
24.00
25.11
22.40
22.00
25.46
36.69
24.06
24.33
23.29
27.14
24.18
23.06
23.02
23.99
25.91
21.24
22.89
23.17
23.49
32.60
38.70
25.01
24.20
24.94
25.41
25.21
22.22
33.11
24.77
24.60
23.99
26.30
25.13
23.96
26.95
46.07
25.32
38.00
27.74
26.24
22.50
25.60
24.27
24.41
24.11
24.27
27.99
29.50
37.08
29.19
33.76
28.66
29.73
31.02
30.64
32.35
34.43
24.98
25.07
23.81
24.70
24.97
25.03
25.92
25.37
127.19
25.67
26.23
24.32
25.55
25.89
24.43
24.85
25.11
25.96
24.72
23.76
23.34
26.15
32.80
41.38
24.62
25.26
25.84
24.96
25.48
24.65
34.63
25.24
25.84
26.69
23.52
25.77
24.43
24.80
39.50
25.09
39.38
29.78
22.47
26.07
24.67
24.10
25.51
25.08
22.38
25.99
25.01
32.52
24.82
44.82
24.75
23.00
24.11
28.28
26.48
24.33
25.23
23.17
22.44
23.85
24.30
25.31
23.28
25.81
36.40
24.40
24.49
25.55
24.65
22.81
23.95
25.26
26.68
24.42
25.05
25.34
23.43
25.30
30.55
27.34
24.75
26.40
24.81
24.03
23.24
24.66
31.27
22.27
24.86
22.78
23.90
24.59
24.15
24.46
35.00
25.12
41.65
24.57
23.47
24.03
23.26
26.07
23.66
25.36
23.49
26.18
25.03
30.25
24.12
38.68
27.19
24.04
23.53
25.48
24.35
25.20
24.57
24.51
24.98
24.80
25.31
24.27
24.81
25.34
27.43
24.78
23.59
24.96
24.02
22.60
23.18
24.13
24.60
26.28
24.18
25.47
24.57
24.28
30.99
26.39
25.65
25.70
25.40
24.31
23.40
26.72
32.78
24.93
24.43
23.41
22.42
24.73
25.93
23.13
35.25
23.38
40.88
28.32
23.57
23.41
24.22
24.48
23.39
23.90
24.06
23.98
23.35
30.08
24.60
40.25
25.28
25.39
27.25
24.18
24.10
24.28
24.64
25.40
23.46
25.95
24.10
23.07
25.35
26.99
119.44
26.21
24.50
24.00
24.87
24.01
25.20
23.71
23.79
24.83
22.76
22.06
23.13
21.35
32.54
39.56
22.65
24.01
24.02
24.31
24.43
25.00
33.02
24.28
24.29
24.41
22.83
24.81
24.86
24.98
32.02
24.22
41.42
25.85
24.48
26.19
26.29
24.46
24.05
24.31
23.51
22.07
24.42
33.90
22.97
36.10
23.40
24.55
23.11
24.12
22.41
22.07
25.95
23.17
23.29
23.21
24.85
22.47
22.69
26.25
44.49
24.01
22.41
24.52
25.98
23.39
22.42
25.22
23.27
24.71
24.37
24.32
24.77
24.21
31.63
33.89
22.99
25.41
28.41
23.66
25.53
26.41
35.66
23.53
26.21
25.59
23.05
24.95
25.74
24.34
41.66
30.53
40.20
29.46
24.17
26.15
25.81
26.15
24.66
22.57
24.41
27.28
26.09
32.05
22.78
48.54
24.95
24.68
24.52
24.70
24.75
24.48
23.85
24.47
23.92
23.34
23.12
23.33
24.15
23.61
24.92
22.85
27.01
24.48
26.61
24.23
23.58
23.91
24.09
27.00
22.73
23.35
22.42
22.39
31.67
35.98
24.01
25.49
23.38
24.52
25.35
23.80
31.94
23.00
23.19
28.10
24.64
22.16
25.43
25.36
29.13
22.24
39.26
27.16
22.89
23.81
25.21
23.92
24.05
24.16
25.57
22.45
23.89
32.89
24.05
24.32
24.15
25.49
23.64
24.60
25.23
25.98
23.49
25.11
24.62
25.46
25.66
26.53
24.62
25.70
112.49
24.27
23.64
22.63
25.09
24.54
24.44
23.37
24.69
28.17
24.81
25.15
26.81
23.69
34.99
42.49
23.80
24.36
24.91
25.47
24.31
24.46
32.81
23.47
25.34
25.02
23.89
23.34
20.79
23.04
43.64
21.54
37.68
28.26
23.74
23.82
24.97
23.59
22.71
24.18
23.51
23.78
22.68
30.98
23.03
37.22
22.62
25.52
25.53
24.80
23.14
23.63
22.73
24.23
23.79
24.16
22.39
24.12
24.41
25.53
28.23
23.88
25.05
25.90
26.73
25.36
24.12
24.60
25.08
26.81
21.93
23.48
25.64
22.44
29.75
37.70
25.14
25.25
24.27
24.96
23.65
22.66
33.33
23.81
23.26
23.82
23.11
22.33
23.37
24.36
36.80
22.77
38.10
27.83
22.39
23.27
25.00
23.32
22.82
23.35
23.78
23.38
24.04
32.13
24.01
24.85
24.42
23.79
23.49
21.75
25.33
22.28
22.64
23.45
23.17
23.81
23.29
25.43
24.29
23.96
26.56
23.70
22.14
23.47
24.77
22.80
23.12
23.26
23.22
24.69
24.90
24.10
22.04
24.24
31.59
32.61
24.75
24.84
24.64
22.64
23.34
23.72
34.58
23.17
22.86
23.96
21.18
25.47
23.22
23.34
35.82
23.42
37.05
24.81
25.93
23.30
22.74
21.89
24.90
23.96
23.43
24.70
25.96
30.91
23.17
35.99
24.62
22.05
23.29
23.40
24.31
22.80
23.09
22.99
21.74
23.21
23.25
23.57
22.42
24.25
119.19
24.32
23.87
24.42
23.47
23.81
24.92
24.01
23.82
23.82
21.51
22.90
21.82
21.00
28.35
30.94
23.03
21.31
21.62
21.71
21.88
21.07
32.17
23.10
23.45
23.54
23.15
23.86
21.97
22.28
35.86
23.09
34.68
28.99
23.19
21.81
25.44
23.31
23.44
22.41
23.39
23.27
21.33
30.12
24.10
24.62
23.40
24.54
24.15
22.76
23.76
24.69
23.65
22.92
21.98
23.79
22.22
24.02
24.04
22.75
24.16
24.50
21.95
23.73
24.44
22.75
21.48
22.84
23.25
23.90
23.23
22.67
22.66
21.37
31.02
24.06
24.25
21.07
23.80
22.09
22.29
23.90
30.94
22.17
22.97
22.52
22.80
22.08
22.63
23.09
23.69
21.95
36.23
25.55
22.54
22.97
22.94
22.90
24.44
23.35
22.77
22.37
23.39
31.38

Tables (Output of Computation)





Summary of compuational 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 compuational 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=8945&T=0

[TABLE]
[ROW][C]Summary of compuational 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=8945&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8945&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 compuational 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)
0.0121.303921.30421.3121.3121.3121.321.30621.3
0.0221.737821.73821.7421.7421.747621.7421.73221.74
0.0322.051722.05222.0622.0622.0622.0522.05822.05
0.0422.231222.23222.2422.2422.255622.2422.22822.24
0.0522.3922.3922.3922.3922.3922.3922.3922.39
0.0622.456822.45822.4722.4722.4722.4522.46222.45
0.0722.627322.62822.6322.6322.6322.6322.62222.63
0.0822.6922.6922.6922.6922.6922.6922.6922.69
0.0922.765122.76622.7722.7722.7722.7722.76422.77
0.122.8322.8322.8322.8322.83822.8322.8322.83
0.1122.9722.9722.9722.9722.9722.9722.9722.97
0.1223.0323.0323.0323.0323.035623.0323.0323.03
0.1323.0923.0923.0923.0923.0923.0923.0923.09
0.1423.134623.13623.1423.1423.1423.1323.13423.14
0.1523.1923.1923.1923.1923.19723.1923.1923.19
0.1623.2523.2523.2523.2523.2523.2523.2523.25
0.1723.2923.2923.2923.2923.2923.2923.2923.29
0.1823.3423.3423.3423.3423.3423.3423.3423.34
0.1923.3823.3823.3823.3823.3823.3823.3823.38
0.223.40823.4123.4123.4123.4123.4123.4123.41
0.2123.461923.46423.4723.4723.469823.4623.46623.46
0.2223.5123.5123.5123.5123.5123.5123.5123.51
0.2323.579723.5823.5823.5823.5823.5823.5823.58
0.2423.643623.64623.6523.6523.6523.6423.64423.65
0.2523.697523.723.723.723.723.723.723.7
0.2623.751423.75423.7623.7623.758823.7523.75623.75
0.2723.823.823.823.823.802623.823.823.8
0.2823.8223.8223.8223.8223.8223.8223.8223.82
0.2923.923.923.923.923.923.923.923.9
0.323.95723.9623.9623.9623.9623.9623.9623.96
0.3124.000924.00424.0124.0124.00782424.00624
0.3224.0324.0324.0324.0324.0324.0324.0324.03
0.3324.058724.0624.0624.0624.0624.0624.0624.06
0.3424.124.124.124.124.124.124.124.1
0.3524.126524.1324.1324.1324.13324.1324.1224.13
0.3624.1824.1824.1824.1824.1824.1824.1824.18
0.3724.224324.22824.2324.2324.2324.2224.22224.23
0.3824.2724.2724.2724.2724.2724.2724.2724.27
0.3924.3224.3224.3224.3224.3224.3224.3224.32
0.424.37624.3824.3824.3824.3824.3824.3824.38
0.4124.4224.42424.4224.4224.425824.4224.42624.42
0.4224.4624.4624.4624.4624.4624.4624.4624.46
0.4324.507724.51224.5124.5124.513424.5124.51824.51
0.4424.5724.5724.5724.5724.5724.5724.5724.57
0.4524.6224.6224.6224.6224.6224.6224.6224.62
0.4624.6624.6624.6624.6624.6624.6624.6624.66
0.4724.7124.7124.7124.7124.7124.7124.7124.71
0.4824.7524.75224.7524.7524.752424.7524.75824.75
0.4924.8124.8124.8124.8124.8124.8124.8124.81
0.524.8524.8524.8524.8524.8524.8524.8524.85
0.5124.9224.9224.9224.9224.9224.9224.9224.92
0.5224.952824.95824.9624.9624.957624.9524.95224.96
0.5325.0125.0125.0125.0125.0125.0125.0125.01
0.5425.0825.0825.0825.0825.0825.0825.0825.08
0.5525.1125.1125.1125.1125.1125.1125.1125.11
0.5625.2125.21425.2125.2125.212825.2125.21625.21
0.5725.272325.27825.2825.2825.276625.2725.27225.28
0.5825.336225.3425.3425.3425.3425.3425.3425.34
0.5925.380125.38625.3925.3925.384225.3825.38425.39
0.625.44825.4625.4625.4625.45625.4425.4625.46
0.6125.525.50425.525.525.501825.525.50625.5
0.6225.551825.55825.5625.5625.555625.5525.55225.56
0.6325.6925.69225.6925.6925.6925.6925.69825.69
0.6425.8125.82225.8125.8125.816425.8125.81825.83
0.6525.933525.9425.9425.9425.93725.9325.9425.94
0.6626.037426.04826.0426.0426.041626.0426.05226.04
0.6726.151326.15826.1626.1626.154626.1526.15226.16
0.6826.255226.26426.2626.2626.258426.2626.27626.26
0.6926.369126.37626.3726.3726.372226.3726.37426.38
0.726.55326.5626.5626.5626.55626.5526.5526.56
0.7126.7126.71426.7126.7126.7126.7126.71626.71
0.7226.910826.91826.9226.9226.913626.9126.91226.92
0.7327.154727.16227.1627.1627.157427.1527.16827.16
0.7427.3327.33627.3327.3327.331227.3327.33427.34
0.7527.792527.827.827.827.79527.7927.827.8
0.7627.975627.99427.9927.9927.985227.9927.99627.99
0.7728.280628.29628.328.328.285228.2828.28428.3
0.7828.558428.5728.5728.5728.562828.5528.5728.57
0.7928.962428.97628.9728.9728.970228.9728.97428.98
0.829.28829.3229.3229.3229.29629.2829.3229.32
0.8129.551829.57229.5629.5629.555629.5629.57829.56
0.8229.909629.98229.9129.9129.924429.9129.92830
0.8330.373730.38830.3830.3830.375430.3730.41230.38
0.8430.9430.94630.9430.9430.9430.9430.94430.95
0.8531.15331.1731.1731.1731.15631.1531.1731.17
0.8631.660831.69431.6731.6731.663631.6731.70631.67
0.8732.396532.41632.432.432.401232.432.40432.42
0.8832.98633.0233.0233.0232.99232.9733.0233.02
0.8934.04234.12434.134.134.06434.134.11634.14
0.935.2535.2535.2535.2535.2535.2535.2535.25
0.9136.184136.26236.2336.2336.192236.1436.27836.23
0.9237.57237.66237.5937.5937.58437.5937.60837.68
0.9339.2639.27639.2639.2639.2639.2639.32439.26
0.9440.757641.1840.8840.8840.779240.8841.0841.38
0.9543.786543.9143.9143.9143.79343.7843.9143.91
0.9648.248848.37248.2648.2648.249648.2448.42848.26
0.9756.580857.4356.7156.7156.603656.7156.8957.61
0.9867.78268.02667.8667.8667.78467.7668.52467.86
0.9978.733279.279.1779.1778.744479.1779.1979.22

\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 & 21.3039 & 21.304 & 21.31 & 21.31 & 21.31 & 21.3 & 21.306 & 21.3 \tabularnewline
0.02 & 21.7378 & 21.738 & 21.74 & 21.74 & 21.7476 & 21.74 & 21.732 & 21.74 \tabularnewline
0.03 & 22.0517 & 22.052 & 22.06 & 22.06 & 22.06 & 22.05 & 22.058 & 22.05 \tabularnewline
0.04 & 22.2312 & 22.232 & 22.24 & 22.24 & 22.2556 & 22.24 & 22.228 & 22.24 \tabularnewline
0.05 & 22.39 & 22.39 & 22.39 & 22.39 & 22.39 & 22.39 & 22.39 & 22.39 \tabularnewline
0.06 & 22.4568 & 22.458 & 22.47 & 22.47 & 22.47 & 22.45 & 22.462 & 22.45 \tabularnewline
0.07 & 22.6273 & 22.628 & 22.63 & 22.63 & 22.63 & 22.63 & 22.622 & 22.63 \tabularnewline
0.08 & 22.69 & 22.69 & 22.69 & 22.69 & 22.69 & 22.69 & 22.69 & 22.69 \tabularnewline
0.09 & 22.7651 & 22.766 & 22.77 & 22.77 & 22.77 & 22.77 & 22.764 & 22.77 \tabularnewline
0.1 & 22.83 & 22.83 & 22.83 & 22.83 & 22.838 & 22.83 & 22.83 & 22.83 \tabularnewline
0.11 & 22.97 & 22.97 & 22.97 & 22.97 & 22.97 & 22.97 & 22.97 & 22.97 \tabularnewline
0.12 & 23.03 & 23.03 & 23.03 & 23.03 & 23.0356 & 23.03 & 23.03 & 23.03 \tabularnewline
0.13 & 23.09 & 23.09 & 23.09 & 23.09 & 23.09 & 23.09 & 23.09 & 23.09 \tabularnewline
0.14 & 23.1346 & 23.136 & 23.14 & 23.14 & 23.14 & 23.13 & 23.134 & 23.14 \tabularnewline
0.15 & 23.19 & 23.19 & 23.19 & 23.19 & 23.197 & 23.19 & 23.19 & 23.19 \tabularnewline
0.16 & 23.25 & 23.25 & 23.25 & 23.25 & 23.25 & 23.25 & 23.25 & 23.25 \tabularnewline
0.17 & 23.29 & 23.29 & 23.29 & 23.29 & 23.29 & 23.29 & 23.29 & 23.29 \tabularnewline
0.18 & 23.34 & 23.34 & 23.34 & 23.34 & 23.34 & 23.34 & 23.34 & 23.34 \tabularnewline
0.19 & 23.38 & 23.38 & 23.38 & 23.38 & 23.38 & 23.38 & 23.38 & 23.38 \tabularnewline
0.2 & 23.408 & 23.41 & 23.41 & 23.41 & 23.41 & 23.41 & 23.41 & 23.41 \tabularnewline
0.21 & 23.4619 & 23.464 & 23.47 & 23.47 & 23.4698 & 23.46 & 23.466 & 23.46 \tabularnewline
0.22 & 23.51 & 23.51 & 23.51 & 23.51 & 23.51 & 23.51 & 23.51 & 23.51 \tabularnewline
0.23 & 23.5797 & 23.58 & 23.58 & 23.58 & 23.58 & 23.58 & 23.58 & 23.58 \tabularnewline
0.24 & 23.6436 & 23.646 & 23.65 & 23.65 & 23.65 & 23.64 & 23.644 & 23.65 \tabularnewline
0.25 & 23.6975 & 23.7 & 23.7 & 23.7 & 23.7 & 23.7 & 23.7 & 23.7 \tabularnewline
0.26 & 23.7514 & 23.754 & 23.76 & 23.76 & 23.7588 & 23.75 & 23.756 & 23.75 \tabularnewline
0.27 & 23.8 & 23.8 & 23.8 & 23.8 & 23.8026 & 23.8 & 23.8 & 23.8 \tabularnewline
0.28 & 23.82 & 23.82 & 23.82 & 23.82 & 23.82 & 23.82 & 23.82 & 23.82 \tabularnewline
0.29 & 23.9 & 23.9 & 23.9 & 23.9 & 23.9 & 23.9 & 23.9 & 23.9 \tabularnewline
0.3 & 23.957 & 23.96 & 23.96 & 23.96 & 23.96 & 23.96 & 23.96 & 23.96 \tabularnewline
0.31 & 24.0009 & 24.004 & 24.01 & 24.01 & 24.0078 & 24 & 24.006 & 24 \tabularnewline
0.32 & 24.03 & 24.03 & 24.03 & 24.03 & 24.03 & 24.03 & 24.03 & 24.03 \tabularnewline
0.33 & 24.0587 & 24.06 & 24.06 & 24.06 & 24.06 & 24.06 & 24.06 & 24.06 \tabularnewline
0.34 & 24.1 & 24.1 & 24.1 & 24.1 & 24.1 & 24.1 & 24.1 & 24.1 \tabularnewline
0.35 & 24.1265 & 24.13 & 24.13 & 24.13 & 24.133 & 24.13 & 24.12 & 24.13 \tabularnewline
0.36 & 24.18 & 24.18 & 24.18 & 24.18 & 24.18 & 24.18 & 24.18 & 24.18 \tabularnewline
0.37 & 24.2243 & 24.228 & 24.23 & 24.23 & 24.23 & 24.22 & 24.222 & 24.23 \tabularnewline
0.38 & 24.27 & 24.27 & 24.27 & 24.27 & 24.27 & 24.27 & 24.27 & 24.27 \tabularnewline
0.39 & 24.32 & 24.32 & 24.32 & 24.32 & 24.32 & 24.32 & 24.32 & 24.32 \tabularnewline
0.4 & 24.376 & 24.38 & 24.38 & 24.38 & 24.38 & 24.38 & 24.38 & 24.38 \tabularnewline
0.41 & 24.42 & 24.424 & 24.42 & 24.42 & 24.4258 & 24.42 & 24.426 & 24.42 \tabularnewline
0.42 & 24.46 & 24.46 & 24.46 & 24.46 & 24.46 & 24.46 & 24.46 & 24.46 \tabularnewline
0.43 & 24.5077 & 24.512 & 24.51 & 24.51 & 24.5134 & 24.51 & 24.518 & 24.51 \tabularnewline
0.44 & 24.57 & 24.57 & 24.57 & 24.57 & 24.57 & 24.57 & 24.57 & 24.57 \tabularnewline
0.45 & 24.62 & 24.62 & 24.62 & 24.62 & 24.62 & 24.62 & 24.62 & 24.62 \tabularnewline
0.46 & 24.66 & 24.66 & 24.66 & 24.66 & 24.66 & 24.66 & 24.66 & 24.66 \tabularnewline
0.47 & 24.71 & 24.71 & 24.71 & 24.71 & 24.71 & 24.71 & 24.71 & 24.71 \tabularnewline
0.48 & 24.75 & 24.752 & 24.75 & 24.75 & 24.7524 & 24.75 & 24.758 & 24.75 \tabularnewline
0.49 & 24.81 & 24.81 & 24.81 & 24.81 & 24.81 & 24.81 & 24.81 & 24.81 \tabularnewline
0.5 & 24.85 & 24.85 & 24.85 & 24.85 & 24.85 & 24.85 & 24.85 & 24.85 \tabularnewline
0.51 & 24.92 & 24.92 & 24.92 & 24.92 & 24.92 & 24.92 & 24.92 & 24.92 \tabularnewline
0.52 & 24.9528 & 24.958 & 24.96 & 24.96 & 24.9576 & 24.95 & 24.952 & 24.96 \tabularnewline
0.53 & 25.01 & 25.01 & 25.01 & 25.01 & 25.01 & 25.01 & 25.01 & 25.01 \tabularnewline
0.54 & 25.08 & 25.08 & 25.08 & 25.08 & 25.08 & 25.08 & 25.08 & 25.08 \tabularnewline
0.55 & 25.11 & 25.11 & 25.11 & 25.11 & 25.11 & 25.11 & 25.11 & 25.11 \tabularnewline
0.56 & 25.21 & 25.214 & 25.21 & 25.21 & 25.2128 & 25.21 & 25.216 & 25.21 \tabularnewline
0.57 & 25.2723 & 25.278 & 25.28 & 25.28 & 25.2766 & 25.27 & 25.272 & 25.28 \tabularnewline
0.58 & 25.3362 & 25.34 & 25.34 & 25.34 & 25.34 & 25.34 & 25.34 & 25.34 \tabularnewline
0.59 & 25.3801 & 25.386 & 25.39 & 25.39 & 25.3842 & 25.38 & 25.384 & 25.39 \tabularnewline
0.6 & 25.448 & 25.46 & 25.46 & 25.46 & 25.456 & 25.44 & 25.46 & 25.46 \tabularnewline
0.61 & 25.5 & 25.504 & 25.5 & 25.5 & 25.5018 & 25.5 & 25.506 & 25.5 \tabularnewline
0.62 & 25.5518 & 25.558 & 25.56 & 25.56 & 25.5556 & 25.55 & 25.552 & 25.56 \tabularnewline
0.63 & 25.69 & 25.692 & 25.69 & 25.69 & 25.69 & 25.69 & 25.698 & 25.69 \tabularnewline
0.64 & 25.81 & 25.822 & 25.81 & 25.81 & 25.8164 & 25.81 & 25.818 & 25.83 \tabularnewline
0.65 & 25.9335 & 25.94 & 25.94 & 25.94 & 25.937 & 25.93 & 25.94 & 25.94 \tabularnewline
0.66 & 26.0374 & 26.048 & 26.04 & 26.04 & 26.0416 & 26.04 & 26.052 & 26.04 \tabularnewline
0.67 & 26.1513 & 26.158 & 26.16 & 26.16 & 26.1546 & 26.15 & 26.152 & 26.16 \tabularnewline
0.68 & 26.2552 & 26.264 & 26.26 & 26.26 & 26.2584 & 26.26 & 26.276 & 26.26 \tabularnewline
0.69 & 26.3691 & 26.376 & 26.37 & 26.37 & 26.3722 & 26.37 & 26.374 & 26.38 \tabularnewline
0.7 & 26.553 & 26.56 & 26.56 & 26.56 & 26.556 & 26.55 & 26.55 & 26.56 \tabularnewline
0.71 & 26.71 & 26.714 & 26.71 & 26.71 & 26.71 & 26.71 & 26.716 & 26.71 \tabularnewline
0.72 & 26.9108 & 26.918 & 26.92 & 26.92 & 26.9136 & 26.91 & 26.912 & 26.92 \tabularnewline
0.73 & 27.1547 & 27.162 & 27.16 & 27.16 & 27.1574 & 27.15 & 27.168 & 27.16 \tabularnewline
0.74 & 27.33 & 27.336 & 27.33 & 27.33 & 27.3312 & 27.33 & 27.334 & 27.34 \tabularnewline
0.75 & 27.7925 & 27.8 & 27.8 & 27.8 & 27.795 & 27.79 & 27.8 & 27.8 \tabularnewline
0.76 & 27.9756 & 27.994 & 27.99 & 27.99 & 27.9852 & 27.99 & 27.996 & 27.99 \tabularnewline
0.77 & 28.2806 & 28.296 & 28.3 & 28.3 & 28.2852 & 28.28 & 28.284 & 28.3 \tabularnewline
0.78 & 28.5584 & 28.57 & 28.57 & 28.57 & 28.5628 & 28.55 & 28.57 & 28.57 \tabularnewline
0.79 & 28.9624 & 28.976 & 28.97 & 28.97 & 28.9702 & 28.97 & 28.974 & 28.98 \tabularnewline
0.8 & 29.288 & 29.32 & 29.32 & 29.32 & 29.296 & 29.28 & 29.32 & 29.32 \tabularnewline
0.81 & 29.5518 & 29.572 & 29.56 & 29.56 & 29.5556 & 29.56 & 29.578 & 29.56 \tabularnewline
0.82 & 29.9096 & 29.982 & 29.91 & 29.91 & 29.9244 & 29.91 & 29.928 & 30 \tabularnewline
0.83 & 30.3737 & 30.388 & 30.38 & 30.38 & 30.3754 & 30.37 & 30.412 & 30.38 \tabularnewline
0.84 & 30.94 & 30.946 & 30.94 & 30.94 & 30.94 & 30.94 & 30.944 & 30.95 \tabularnewline
0.85 & 31.153 & 31.17 & 31.17 & 31.17 & 31.156 & 31.15 & 31.17 & 31.17 \tabularnewline
0.86 & 31.6608 & 31.694 & 31.67 & 31.67 & 31.6636 & 31.67 & 31.706 & 31.67 \tabularnewline
0.87 & 32.3965 & 32.416 & 32.4 & 32.4 & 32.4012 & 32.4 & 32.404 & 32.42 \tabularnewline
0.88 & 32.986 & 33.02 & 33.02 & 33.02 & 32.992 & 32.97 & 33.02 & 33.02 \tabularnewline
0.89 & 34.042 & 34.124 & 34.1 & 34.1 & 34.064 & 34.1 & 34.116 & 34.14 \tabularnewline
0.9 & 35.25 & 35.25 & 35.25 & 35.25 & 35.25 & 35.25 & 35.25 & 35.25 \tabularnewline
0.91 & 36.1841 & 36.262 & 36.23 & 36.23 & 36.1922 & 36.14 & 36.278 & 36.23 \tabularnewline
0.92 & 37.572 & 37.662 & 37.59 & 37.59 & 37.584 & 37.59 & 37.608 & 37.68 \tabularnewline
0.93 & 39.26 & 39.276 & 39.26 & 39.26 & 39.26 & 39.26 & 39.324 & 39.26 \tabularnewline
0.94 & 40.7576 & 41.18 & 40.88 & 40.88 & 40.7792 & 40.88 & 41.08 & 41.38 \tabularnewline
0.95 & 43.7865 & 43.91 & 43.91 & 43.91 & 43.793 & 43.78 & 43.91 & 43.91 \tabularnewline
0.96 & 48.2488 & 48.372 & 48.26 & 48.26 & 48.2496 & 48.24 & 48.428 & 48.26 \tabularnewline
0.97 & 56.5808 & 57.43 & 56.71 & 56.71 & 56.6036 & 56.71 & 56.89 & 57.61 \tabularnewline
0.98 & 67.782 & 68.026 & 67.86 & 67.86 & 67.784 & 67.76 & 68.524 & 67.86 \tabularnewline
0.99 & 78.7332 & 79.2 & 79.17 & 79.17 & 78.7444 & 79.17 & 79.19 & 79.22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=8945&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]21.3039[/C][C]21.304[/C][C]21.31[/C][C]21.31[/C][C]21.31[/C][C]21.3[/C][C]21.306[/C][C]21.3[/C][/ROW]
[ROW][C]0.02[/C][C]21.7378[/C][C]21.738[/C][C]21.74[/C][C]21.74[/C][C]21.7476[/C][C]21.74[/C][C]21.732[/C][C]21.74[/C][/ROW]
[ROW][C]0.03[/C][C]22.0517[/C][C]22.052[/C][C]22.06[/C][C]22.06[/C][C]22.06[/C][C]22.05[/C][C]22.058[/C][C]22.05[/C][/ROW]
[ROW][C]0.04[/C][C]22.2312[/C][C]22.232[/C][C]22.24[/C][C]22.24[/C][C]22.2556[/C][C]22.24[/C][C]22.228[/C][C]22.24[/C][/ROW]
[ROW][C]0.05[/C][C]22.39[/C][C]22.39[/C][C]22.39[/C][C]22.39[/C][C]22.39[/C][C]22.39[/C][C]22.39[/C][C]22.39[/C][/ROW]
[ROW][C]0.06[/C][C]22.4568[/C][C]22.458[/C][C]22.47[/C][C]22.47[/C][C]22.47[/C][C]22.45[/C][C]22.462[/C][C]22.45[/C][/ROW]
[ROW][C]0.07[/C][C]22.6273[/C][C]22.628[/C][C]22.63[/C][C]22.63[/C][C]22.63[/C][C]22.63[/C][C]22.622[/C][C]22.63[/C][/ROW]
[ROW][C]0.08[/C][C]22.69[/C][C]22.69[/C][C]22.69[/C][C]22.69[/C][C]22.69[/C][C]22.69[/C][C]22.69[/C][C]22.69[/C][/ROW]
[ROW][C]0.09[/C][C]22.7651[/C][C]22.766[/C][C]22.77[/C][C]22.77[/C][C]22.77[/C][C]22.77[/C][C]22.764[/C][C]22.77[/C][/ROW]
[ROW][C]0.1[/C][C]22.83[/C][C]22.83[/C][C]22.83[/C][C]22.83[/C][C]22.838[/C][C]22.83[/C][C]22.83[/C][C]22.83[/C][/ROW]
[ROW][C]0.11[/C][C]22.97[/C][C]22.97[/C][C]22.97[/C][C]22.97[/C][C]22.97[/C][C]22.97[/C][C]22.97[/C][C]22.97[/C][/ROW]
[ROW][C]0.12[/C][C]23.03[/C][C]23.03[/C][C]23.03[/C][C]23.03[/C][C]23.0356[/C][C]23.03[/C][C]23.03[/C][C]23.03[/C][/ROW]
[ROW][C]0.13[/C][C]23.09[/C][C]23.09[/C][C]23.09[/C][C]23.09[/C][C]23.09[/C][C]23.09[/C][C]23.09[/C][C]23.09[/C][/ROW]
[ROW][C]0.14[/C][C]23.1346[/C][C]23.136[/C][C]23.14[/C][C]23.14[/C][C]23.14[/C][C]23.13[/C][C]23.134[/C][C]23.14[/C][/ROW]
[ROW][C]0.15[/C][C]23.19[/C][C]23.19[/C][C]23.19[/C][C]23.19[/C][C]23.197[/C][C]23.19[/C][C]23.19[/C][C]23.19[/C][/ROW]
[ROW][C]0.16[/C][C]23.25[/C][C]23.25[/C][C]23.25[/C][C]23.25[/C][C]23.25[/C][C]23.25[/C][C]23.25[/C][C]23.25[/C][/ROW]
[ROW][C]0.17[/C][C]23.29[/C][C]23.29[/C][C]23.29[/C][C]23.29[/C][C]23.29[/C][C]23.29[/C][C]23.29[/C][C]23.29[/C][/ROW]
[ROW][C]0.18[/C][C]23.34[/C][C]23.34[/C][C]23.34[/C][C]23.34[/C][C]23.34[/C][C]23.34[/C][C]23.34[/C][C]23.34[/C][/ROW]
[ROW][C]0.19[/C][C]23.38[/C][C]23.38[/C][C]23.38[/C][C]23.38[/C][C]23.38[/C][C]23.38[/C][C]23.38[/C][C]23.38[/C][/ROW]
[ROW][C]0.2[/C][C]23.408[/C][C]23.41[/C][C]23.41[/C][C]23.41[/C][C]23.41[/C][C]23.41[/C][C]23.41[/C][C]23.41[/C][/ROW]
[ROW][C]0.21[/C][C]23.4619[/C][C]23.464[/C][C]23.47[/C][C]23.47[/C][C]23.4698[/C][C]23.46[/C][C]23.466[/C][C]23.46[/C][/ROW]
[ROW][C]0.22[/C][C]23.51[/C][C]23.51[/C][C]23.51[/C][C]23.51[/C][C]23.51[/C][C]23.51[/C][C]23.51[/C][C]23.51[/C][/ROW]
[ROW][C]0.23[/C][C]23.5797[/C][C]23.58[/C][C]23.58[/C][C]23.58[/C][C]23.58[/C][C]23.58[/C][C]23.58[/C][C]23.58[/C][/ROW]
[ROW][C]0.24[/C][C]23.6436[/C][C]23.646[/C][C]23.65[/C][C]23.65[/C][C]23.65[/C][C]23.64[/C][C]23.644[/C][C]23.65[/C][/ROW]
[ROW][C]0.25[/C][C]23.6975[/C][C]23.7[/C][C]23.7[/C][C]23.7[/C][C]23.7[/C][C]23.7[/C][C]23.7[/C][C]23.7[/C][/ROW]
[ROW][C]0.26[/C][C]23.7514[/C][C]23.754[/C][C]23.76[/C][C]23.76[/C][C]23.7588[/C][C]23.75[/C][C]23.756[/C][C]23.75[/C][/ROW]
[ROW][C]0.27[/C][C]23.8[/C][C]23.8[/C][C]23.8[/C][C]23.8[/C][C]23.8026[/C][C]23.8[/C][C]23.8[/C][C]23.8[/C][/ROW]
[ROW][C]0.28[/C][C]23.82[/C][C]23.82[/C][C]23.82[/C][C]23.82[/C][C]23.82[/C][C]23.82[/C][C]23.82[/C][C]23.82[/C][/ROW]
[ROW][C]0.29[/C][C]23.9[/C][C]23.9[/C][C]23.9[/C][C]23.9[/C][C]23.9[/C][C]23.9[/C][C]23.9[/C][C]23.9[/C][/ROW]
[ROW][C]0.3[/C][C]23.957[/C][C]23.96[/C][C]23.96[/C][C]23.96[/C][C]23.96[/C][C]23.96[/C][C]23.96[/C][C]23.96[/C][/ROW]
[ROW][C]0.31[/C][C]24.0009[/C][C]24.004[/C][C]24.01[/C][C]24.01[/C][C]24.0078[/C][C]24[/C][C]24.006[/C][C]24[/C][/ROW]
[ROW][C]0.32[/C][C]24.03[/C][C]24.03[/C][C]24.03[/C][C]24.03[/C][C]24.03[/C][C]24.03[/C][C]24.03[/C][C]24.03[/C][/ROW]
[ROW][C]0.33[/C][C]24.0587[/C][C]24.06[/C][C]24.06[/C][C]24.06[/C][C]24.06[/C][C]24.06[/C][C]24.06[/C][C]24.06[/C][/ROW]
[ROW][C]0.34[/C][C]24.1[/C][C]24.1[/C][C]24.1[/C][C]24.1[/C][C]24.1[/C][C]24.1[/C][C]24.1[/C][C]24.1[/C][/ROW]
[ROW][C]0.35[/C][C]24.1265[/C][C]24.13[/C][C]24.13[/C][C]24.13[/C][C]24.133[/C][C]24.13[/C][C]24.12[/C][C]24.13[/C][/ROW]
[ROW][C]0.36[/C][C]24.18[/C][C]24.18[/C][C]24.18[/C][C]24.18[/C][C]24.18[/C][C]24.18[/C][C]24.18[/C][C]24.18[/C][/ROW]
[ROW][C]0.37[/C][C]24.2243[/C][C]24.228[/C][C]24.23[/C][C]24.23[/C][C]24.23[/C][C]24.22[/C][C]24.222[/C][C]24.23[/C][/ROW]
[ROW][C]0.38[/C][C]24.27[/C][C]24.27[/C][C]24.27[/C][C]24.27[/C][C]24.27[/C][C]24.27[/C][C]24.27[/C][C]24.27[/C][/ROW]
[ROW][C]0.39[/C][C]24.32[/C][C]24.32[/C][C]24.32[/C][C]24.32[/C][C]24.32[/C][C]24.32[/C][C]24.32[/C][C]24.32[/C][/ROW]
[ROW][C]0.4[/C][C]24.376[/C][C]24.38[/C][C]24.38[/C][C]24.38[/C][C]24.38[/C][C]24.38[/C][C]24.38[/C][C]24.38[/C][/ROW]
[ROW][C]0.41[/C][C]24.42[/C][C]24.424[/C][C]24.42[/C][C]24.42[/C][C]24.4258[/C][C]24.42[/C][C]24.426[/C][C]24.42[/C][/ROW]
[ROW][C]0.42[/C][C]24.46[/C][C]24.46[/C][C]24.46[/C][C]24.46[/C][C]24.46[/C][C]24.46[/C][C]24.46[/C][C]24.46[/C][/ROW]
[ROW][C]0.43[/C][C]24.5077[/C][C]24.512[/C][C]24.51[/C][C]24.51[/C][C]24.5134[/C][C]24.51[/C][C]24.518[/C][C]24.51[/C][/ROW]
[ROW][C]0.44[/C][C]24.57[/C][C]24.57[/C][C]24.57[/C][C]24.57[/C][C]24.57[/C][C]24.57[/C][C]24.57[/C][C]24.57[/C][/ROW]
[ROW][C]0.45[/C][C]24.62[/C][C]24.62[/C][C]24.62[/C][C]24.62[/C][C]24.62[/C][C]24.62[/C][C]24.62[/C][C]24.62[/C][/ROW]
[ROW][C]0.46[/C][C]24.66[/C][C]24.66[/C][C]24.66[/C][C]24.66[/C][C]24.66[/C][C]24.66[/C][C]24.66[/C][C]24.66[/C][/ROW]
[ROW][C]0.47[/C][C]24.71[/C][C]24.71[/C][C]24.71[/C][C]24.71[/C][C]24.71[/C][C]24.71[/C][C]24.71[/C][C]24.71[/C][/ROW]
[ROW][C]0.48[/C][C]24.75[/C][C]24.752[/C][C]24.75[/C][C]24.75[/C][C]24.7524[/C][C]24.75[/C][C]24.758[/C][C]24.75[/C][/ROW]
[ROW][C]0.49[/C][C]24.81[/C][C]24.81[/C][C]24.81[/C][C]24.81[/C][C]24.81[/C][C]24.81[/C][C]24.81[/C][C]24.81[/C][/ROW]
[ROW][C]0.5[/C][C]24.85[/C][C]24.85[/C][C]24.85[/C][C]24.85[/C][C]24.85[/C][C]24.85[/C][C]24.85[/C][C]24.85[/C][/ROW]
[ROW][C]0.51[/C][C]24.92[/C][C]24.92[/C][C]24.92[/C][C]24.92[/C][C]24.92[/C][C]24.92[/C][C]24.92[/C][C]24.92[/C][/ROW]
[ROW][C]0.52[/C][C]24.9528[/C][C]24.958[/C][C]24.96[/C][C]24.96[/C][C]24.9576[/C][C]24.95[/C][C]24.952[/C][C]24.96[/C][/ROW]
[ROW][C]0.53[/C][C]25.01[/C][C]25.01[/C][C]25.01[/C][C]25.01[/C][C]25.01[/C][C]25.01[/C][C]25.01[/C][C]25.01[/C][/ROW]
[ROW][C]0.54[/C][C]25.08[/C][C]25.08[/C][C]25.08[/C][C]25.08[/C][C]25.08[/C][C]25.08[/C][C]25.08[/C][C]25.08[/C][/ROW]
[ROW][C]0.55[/C][C]25.11[/C][C]25.11[/C][C]25.11[/C][C]25.11[/C][C]25.11[/C][C]25.11[/C][C]25.11[/C][C]25.11[/C][/ROW]
[ROW][C]0.56[/C][C]25.21[/C][C]25.214[/C][C]25.21[/C][C]25.21[/C][C]25.2128[/C][C]25.21[/C][C]25.216[/C][C]25.21[/C][/ROW]
[ROW][C]0.57[/C][C]25.2723[/C][C]25.278[/C][C]25.28[/C][C]25.28[/C][C]25.2766[/C][C]25.27[/C][C]25.272[/C][C]25.28[/C][/ROW]
[ROW][C]0.58[/C][C]25.3362[/C][C]25.34[/C][C]25.34[/C][C]25.34[/C][C]25.34[/C][C]25.34[/C][C]25.34[/C][C]25.34[/C][/ROW]
[ROW][C]0.59[/C][C]25.3801[/C][C]25.386[/C][C]25.39[/C][C]25.39[/C][C]25.3842[/C][C]25.38[/C][C]25.384[/C][C]25.39[/C][/ROW]
[ROW][C]0.6[/C][C]25.448[/C][C]25.46[/C][C]25.46[/C][C]25.46[/C][C]25.456[/C][C]25.44[/C][C]25.46[/C][C]25.46[/C][/ROW]
[ROW][C]0.61[/C][C]25.5[/C][C]25.504[/C][C]25.5[/C][C]25.5[/C][C]25.5018[/C][C]25.5[/C][C]25.506[/C][C]25.5[/C][/ROW]
[ROW][C]0.62[/C][C]25.5518[/C][C]25.558[/C][C]25.56[/C][C]25.56[/C][C]25.5556[/C][C]25.55[/C][C]25.552[/C][C]25.56[/C][/ROW]
[ROW][C]0.63[/C][C]25.69[/C][C]25.692[/C][C]25.69[/C][C]25.69[/C][C]25.69[/C][C]25.69[/C][C]25.698[/C][C]25.69[/C][/ROW]
[ROW][C]0.64[/C][C]25.81[/C][C]25.822[/C][C]25.81[/C][C]25.81[/C][C]25.8164[/C][C]25.81[/C][C]25.818[/C][C]25.83[/C][/ROW]
[ROW][C]0.65[/C][C]25.9335[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][C]25.937[/C][C]25.93[/C][C]25.94[/C][C]25.94[/C][/ROW]
[ROW][C]0.66[/C][C]26.0374[/C][C]26.048[/C][C]26.04[/C][C]26.04[/C][C]26.0416[/C][C]26.04[/C][C]26.052[/C][C]26.04[/C][/ROW]
[ROW][C]0.67[/C][C]26.1513[/C][C]26.158[/C][C]26.16[/C][C]26.16[/C][C]26.1546[/C][C]26.15[/C][C]26.152[/C][C]26.16[/C][/ROW]
[ROW][C]0.68[/C][C]26.2552[/C][C]26.264[/C][C]26.26[/C][C]26.26[/C][C]26.2584[/C][C]26.26[/C][C]26.276[/C][C]26.26[/C][/ROW]
[ROW][C]0.69[/C][C]26.3691[/C][C]26.376[/C][C]26.37[/C][C]26.37[/C][C]26.3722[/C][C]26.37[/C][C]26.374[/C][C]26.38[/C][/ROW]
[ROW][C]0.7[/C][C]26.553[/C][C]26.56[/C][C]26.56[/C][C]26.56[/C][C]26.556[/C][C]26.55[/C][C]26.55[/C][C]26.56[/C][/ROW]
[ROW][C]0.71[/C][C]26.71[/C][C]26.714[/C][C]26.71[/C][C]26.71[/C][C]26.71[/C][C]26.71[/C][C]26.716[/C][C]26.71[/C][/ROW]
[ROW][C]0.72[/C][C]26.9108[/C][C]26.918[/C][C]26.92[/C][C]26.92[/C][C]26.9136[/C][C]26.91[/C][C]26.912[/C][C]26.92[/C][/ROW]
[ROW][C]0.73[/C][C]27.1547[/C][C]27.162[/C][C]27.16[/C][C]27.16[/C][C]27.1574[/C][C]27.15[/C][C]27.168[/C][C]27.16[/C][/ROW]
[ROW][C]0.74[/C][C]27.33[/C][C]27.336[/C][C]27.33[/C][C]27.33[/C][C]27.3312[/C][C]27.33[/C][C]27.334[/C][C]27.34[/C][/ROW]
[ROW][C]0.75[/C][C]27.7925[/C][C]27.8[/C][C]27.8[/C][C]27.8[/C][C]27.795[/C][C]27.79[/C][C]27.8[/C][C]27.8[/C][/ROW]
[ROW][C]0.76[/C][C]27.9756[/C][C]27.994[/C][C]27.99[/C][C]27.99[/C][C]27.9852[/C][C]27.99[/C][C]27.996[/C][C]27.99[/C][/ROW]
[ROW][C]0.77[/C][C]28.2806[/C][C]28.296[/C][C]28.3[/C][C]28.3[/C][C]28.2852[/C][C]28.28[/C][C]28.284[/C][C]28.3[/C][/ROW]
[ROW][C]0.78[/C][C]28.5584[/C][C]28.57[/C][C]28.57[/C][C]28.57[/C][C]28.5628[/C][C]28.55[/C][C]28.57[/C][C]28.57[/C][/ROW]
[ROW][C]0.79[/C][C]28.9624[/C][C]28.976[/C][C]28.97[/C][C]28.97[/C][C]28.9702[/C][C]28.97[/C][C]28.974[/C][C]28.98[/C][/ROW]
[ROW][C]0.8[/C][C]29.288[/C][C]29.32[/C][C]29.32[/C][C]29.32[/C][C]29.296[/C][C]29.28[/C][C]29.32[/C][C]29.32[/C][/ROW]
[ROW][C]0.81[/C][C]29.5518[/C][C]29.572[/C][C]29.56[/C][C]29.56[/C][C]29.5556[/C][C]29.56[/C][C]29.578[/C][C]29.56[/C][/ROW]
[ROW][C]0.82[/C][C]29.9096[/C][C]29.982[/C][C]29.91[/C][C]29.91[/C][C]29.9244[/C][C]29.91[/C][C]29.928[/C][C]30[/C][/ROW]
[ROW][C]0.83[/C][C]30.3737[/C][C]30.388[/C][C]30.38[/C][C]30.38[/C][C]30.3754[/C][C]30.37[/C][C]30.412[/C][C]30.38[/C][/ROW]
[ROW][C]0.84[/C][C]30.94[/C][C]30.946[/C][C]30.94[/C][C]30.94[/C][C]30.94[/C][C]30.94[/C][C]30.944[/C][C]30.95[/C][/ROW]
[ROW][C]0.85[/C][C]31.153[/C][C]31.17[/C][C]31.17[/C][C]31.17[/C][C]31.156[/C][C]31.15[/C][C]31.17[/C][C]31.17[/C][/ROW]
[ROW][C]0.86[/C][C]31.6608[/C][C]31.694[/C][C]31.67[/C][C]31.67[/C][C]31.6636[/C][C]31.67[/C][C]31.706[/C][C]31.67[/C][/ROW]
[ROW][C]0.87[/C][C]32.3965[/C][C]32.416[/C][C]32.4[/C][C]32.4[/C][C]32.4012[/C][C]32.4[/C][C]32.404[/C][C]32.42[/C][/ROW]
[ROW][C]0.88[/C][C]32.986[/C][C]33.02[/C][C]33.02[/C][C]33.02[/C][C]32.992[/C][C]32.97[/C][C]33.02[/C][C]33.02[/C][/ROW]
[ROW][C]0.89[/C][C]34.042[/C][C]34.124[/C][C]34.1[/C][C]34.1[/C][C]34.064[/C][C]34.1[/C][C]34.116[/C][C]34.14[/C][/ROW]
[ROW][C]0.9[/C][C]35.25[/C][C]35.25[/C][C]35.25[/C][C]35.25[/C][C]35.25[/C][C]35.25[/C][C]35.25[/C][C]35.25[/C][/ROW]
[ROW][C]0.91[/C][C]36.1841[/C][C]36.262[/C][C]36.23[/C][C]36.23[/C][C]36.1922[/C][C]36.14[/C][C]36.278[/C][C]36.23[/C][/ROW]
[ROW][C]0.92[/C][C]37.572[/C][C]37.662[/C][C]37.59[/C][C]37.59[/C][C]37.584[/C][C]37.59[/C][C]37.608[/C][C]37.68[/C][/ROW]
[ROW][C]0.93[/C][C]39.26[/C][C]39.276[/C][C]39.26[/C][C]39.26[/C][C]39.26[/C][C]39.26[/C][C]39.324[/C][C]39.26[/C][/ROW]
[ROW][C]0.94[/C][C]40.7576[/C][C]41.18[/C][C]40.88[/C][C]40.88[/C][C]40.7792[/C][C]40.88[/C][C]41.08[/C][C]41.38[/C][/ROW]
[ROW][C]0.95[/C][C]43.7865[/C][C]43.91[/C][C]43.91[/C][C]43.91[/C][C]43.793[/C][C]43.78[/C][C]43.91[/C][C]43.91[/C][/ROW]
[ROW][C]0.96[/C][C]48.2488[/C][C]48.372[/C][C]48.26[/C][C]48.26[/C][C]48.2496[/C][C]48.24[/C][C]48.428[/C][C]48.26[/C][/ROW]
[ROW][C]0.97[/C][C]56.5808[/C][C]57.43[/C][C]56.71[/C][C]56.71[/C][C]56.6036[/C][C]56.71[/C][C]56.89[/C][C]57.61[/C][/ROW]
[ROW][C]0.98[/C][C]67.782[/C][C]68.026[/C][C]67.86[/C][C]67.86[/C][C]67.784[/C][C]67.76[/C][C]68.524[/C][C]67.86[/C][/ROW]
[ROW][C]0.99[/C][C]78.7332[/C][C]79.2[/C][C]79.17[/C][C]79.17[/C][C]78.7444[/C][C]79.17[/C][C]79.19[/C][C]79.22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=8945&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8945&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)
0.0121.303921.30421.3121.3121.3121.321.30621.3
0.0221.737821.73821.7421.7421.747621.7421.73221.74
0.0322.051722.05222.0622.0622.0622.0522.05822.05
0.0422.231222.23222.2422.2422.255622.2422.22822.24
0.0522.3922.3922.3922.3922.3922.3922.3922.39
0.0622.456822.45822.4722.4722.4722.4522.46222.45
0.0722.627322.62822.6322.6322.6322.6322.62222.63
0.0822.6922.6922.6922.6922.6922.6922.6922.69
0.0922.765122.76622.7722.7722.7722.7722.76422.77
0.122.8322.8322.8322.8322.83822.8322.8322.83
0.1122.9722.9722.9722.9722.9722.9722.9722.97
0.1223.0323.0323.0323.0323.035623.0323.0323.03
0.1323.0923.0923.0923.0923.0923.0923.0923.09
0.1423.134623.13623.1423.1423.1423.1323.13423.14
0.1523.1923.1923.1923.1923.19723.1923.1923.19
0.1623.2523.2523.2523.2523.2523.2523.2523.25
0.1723.2923.2923.2923.2923.2923.2923.2923.29
0.1823.3423.3423.3423.3423.3423.3423.3423.34
0.1923.3823.3823.3823.3823.3823.3823.3823.38
0.223.40823.4123.4123.4123.4123.4123.4123.41
0.2123.461923.46423.4723.4723.469823.4623.46623.46
0.2223.5123.5123.5123.5123.5123.5123.5123.51
0.2323.579723.5823.5823.5823.5823.5823.5823.58
0.2423.643623.64623.6523.6523.6523.6423.64423.65
0.2523.697523.723.723.723.723.723.723.7
0.2623.751423.75423.7623.7623.758823.7523.75623.75
0.2723.823.823.823.823.802623.823.823.8
0.2823.8223.8223.8223.8223.8223.8223.8223.82
0.2923.923.923.923.923.923.923.923.9
0.323.95723.9623.9623.9623.9623.9623.9623.96
0.3124.000924.00424.0124.0124.00782424.00624
0.3224.0324.0324.0324.0324.0324.0324.0324.03
0.3324.058724.0624.0624.0624.0624.0624.0624.06
0.3424.124.124.124.124.124.124.124.1
0.3524.126524.1324.1324.1324.13324.1324.1224.13
0.3624.1824.1824.1824.1824.1824.1824.1824.18
0.3724.224324.22824.2324.2324.2324.2224.22224.23
0.3824.2724.2724.2724.2724.2724.2724.2724.27
0.3924.3224.3224.3224.3224.3224.3224.3224.32
0.424.37624.3824.3824.3824.3824.3824.3824.38
0.4124.4224.42424.4224.4224.425824.4224.42624.42
0.4224.4624.4624.4624.4624.4624.4624.4624.46
0.4324.507724.51224.5124.5124.513424.5124.51824.51
0.4424.5724.5724.5724.5724.5724.5724.5724.57
0.4524.6224.6224.6224.6224.6224.6224.6224.62
0.4624.6624.6624.6624.6624.6624.6624.6624.66
0.4724.7124.7124.7124.7124.7124.7124.7124.71
0.4824.7524.75224.7524.7524.752424.7524.75824.75
0.4924.8124.8124.8124.8124.8124.8124.8124.81
0.524.8524.8524.8524.8524.8524.8524.8524.85
0.5124.9224.9224.9224.9224.9224.9224.9224.92
0.5224.952824.95824.9624.9624.957624.9524.95224.96
0.5325.0125.0125.0125.0125.0125.0125.0125.01
0.5425.0825.0825.0825.0825.0825.0825.0825.08
0.5525.1125.1125.1125.1125.1125.1125.1125.11
0.5625.2125.21425.2125.2125.212825.2125.21625.21
0.5725.272325.27825.2825.2825.276625.2725.27225.28
0.5825.336225.3425.3425.3425.3425.3425.3425.34
0.5925.380125.38625.3925.3925.384225.3825.38425.39
0.625.44825.4625.4625.4625.45625.4425.4625.46
0.6125.525.50425.525.525.501825.525.50625.5
0.6225.551825.55825.5625.5625.555625.5525.55225.56
0.6325.6925.69225.6925.6925.6925.6925.69825.69
0.6425.8125.82225.8125.8125.816425.8125.81825.83
0.6525.933525.9425.9425.9425.93725.9325.9425.94
0.6626.037426.04826.0426.0426.041626.0426.05226.04
0.6726.151326.15826.1626.1626.154626.1526.15226.16
0.6826.255226.26426.2626.2626.258426.2626.27626.26
0.6926.369126.37626.3726.3726.372226.3726.37426.38
0.726.55326.5626.5626.5626.55626.5526.5526.56
0.7126.7126.71426.7126.7126.7126.7126.71626.71
0.7226.910826.91826.9226.9226.913626.9126.91226.92
0.7327.154727.16227.1627.1627.157427.1527.16827.16
0.7427.3327.33627.3327.3327.331227.3327.33427.34
0.7527.792527.827.827.827.79527.7927.827.8
0.7627.975627.99427.9927.9927.985227.9927.99627.99
0.7728.280628.29628.328.328.285228.2828.28428.3
0.7828.558428.5728.5728.5728.562828.5528.5728.57
0.7928.962428.97628.9728.9728.970228.9728.97428.98
0.829.28829.3229.3229.3229.29629.2829.3229.32
0.8129.551829.57229.5629.5629.555629.5629.57829.56
0.8229.909629.98229.9129.9129.924429.9129.92830
0.8330.373730.38830.3830.3830.375430.3730.41230.38
0.8430.9430.94630.9430.9430.9430.9430.94430.95
0.8531.15331.1731.1731.1731.15631.1531.1731.17
0.8631.660831.69431.6731.6731.663631.6731.70631.67
0.8732.396532.41632.432.432.401232.432.40432.42
0.8832.98633.0233.0233.0232.99232.9733.0233.02
0.8934.04234.12434.134.134.06434.134.11634.14
0.935.2535.2535.2535.2535.2535.2535.2535.25
0.9136.184136.26236.2336.2336.192236.1436.27836.23
0.9237.57237.66237.5937.5937.58437.5937.60837.68
0.9339.2639.27639.2639.2639.2639.2639.32439.26
0.9440.757641.1840.8840.8840.779240.8841.0841.38
0.9543.786543.9143.9143.9143.79343.7843.9143.91
0.9648.248848.37248.2648.2648.249648.2448.42848.26
0.9756.580857.4356.7156.7156.603656.7156.8957.61
0.9867.78268.02667.8667.8667.78467.7668.52467.86
0.9978.733279.279.1779.1778.744479.1779.1979.22


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)
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')