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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 computationWed, 10 Dec 2014 15:01:25 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/10/t141822369758555r5qo825l43.htm/, Retrieved Sun, 19 May 2024 16:32:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=265317, Retrieved Sun, 19 May 2024 16:32:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact88

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Percentiles] [Intrinsic Motivat...] [2010-10-12 12:10:58] [b98453cac15ba1066b407e146608df68]
- RM D    [Percentiles] [] [2014-12-10 15:01:25] [b4b65124834fa3a3e625dd03af063494] [Current]
-    D      [Percentiles] [] [2014-12-10 15:03:55] [2add28fdfb91c9297fa0715b27e01e1f]
-    D        [Percentiles] [] [2014-12-10 15:05:34] [2add28fdfb91c9297fa0715b27e01e1f]
-    D          [Percentiles] [] [2014-12-10 16:40:56] [2add28fdfb91c9297fa0715b27e01e1f]
-   PD          [Percentiles] [] [2014-12-10 16:43:33] [2add28fdfb91c9297fa0715b27e01e1f]
-   PD        [Percentiles] [] [2014-12-10 16:44:18] [2add28fdfb91c9297fa0715b27e01e1f]
-    D      [Percentiles] [] [2014-12-15 11:29:39] [ccd66b5a2d6b0dd8c147f526ae5cbd1f]
-    D        [Percentiles] [] [2014-12-15 11:35:28] [ccd66b5a2d6b0dd8c147f526ae5cbd1f]
-    D          [Percentiles] [] [2014-12-15 11:40:38] [ccd66b5a2d6b0dd8c147f526ae5cbd1f]
-    D            [Percentiles] [] [2014-12-15 11:44:59] [ccd66b5a2d6b0dd8c147f526ae5cbd1f]
-    D              [Percentiles] [] [2014-12-15 11:53:55] [ccd66b5a2d6b0dd8c147f526ae5cbd1f]
-    D              [Percentiles] [] [2014-12-15 13:58:12] [ccd66b5a2d6b0dd8c147f526ae5cbd1f]
-    D            [Percentiles] [] [2014-12-15 13:46:40] [ccd66b5a2d6b0dd8c147f526ae5cbd1f]
-    D          [Percentiles] [] [2014-12-15 12:00:46] [ccd66b5a2d6b0dd8c147f526ae5cbd1f]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
11
19
16
24
15
17
19
19
28
26
15
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24
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26
22
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8
22
20
24
17
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15
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14
24
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25
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13
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15
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16
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24
13
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15
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24
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19
14
25
11
17
22
20
22
15
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25
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25
21
22
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6
15
18
24
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23
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18
25
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14
22
26
20
17
22
22
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17
22
17
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21
25
11
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24
17
22
17
26
20
19
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13
24
28
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22
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15
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26
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28
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11
17
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17
21
21
12
23
22
22
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21
24
22
20
17
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16
19
23
8
22
23
15
17
21
25
18
20
21
21
24
22
22
23
17
15
22
19
18
21
20
19
19
16
18
23
22
23
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24
25
25
20
23
21
23
23
11
21
27
19
21
16
21
22
16
18
23
24
20
20
18
4
14
22
17
23
20
18
19
20
15
24
21
19
19
27
23
23
20
17
21
23
22
16
20
16
21
19
27
13
17
18
20
22
18
6
22
15
19
17
22
10
21
23
18
20
27
13
20
20
22
20
23
19
22
24
21
19
20
16
17
25
16
23
20
23
22
15
16
20
23
24
17
19
25
14
18
22
15
27
22
26
16
25
20
19
19
24
14
18
13
19
25
20
17
17
13
20
20
24
25
19
20
20
22
18
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20
11
18
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21
15
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23
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20
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26
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25
23
19
27
23
24
20
16
22
26
26
24
20
20
12
21
27
26
17
20
18
28
24
24
24
12
26
23
13
23
16
23
18
25
18
18
21
7
19
21
17
22
15
20
19
10
18
25
23
25
23
21
23
19
22
23
15
23
23
24
20
23
24
21
19
23
22
14
19
21
23
16
23
19
19
22
26
22
24
24
11
21
21
22
22
19
18
19
27
14
15
20
22
26
20
13
26
19
20
18
20
21
26
25
20
21

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265317&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265317&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265317&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.017.877.8888887.128
0.021111111111111111
0.031111111111.58111111
0.041313131313131313
0.051313131313131313
0.061414141414141414
0.071414141414.02141414
0.081515151515151515
0.091515151515151515
0.11515151515151515
0.111515151515.46151515
0.121616161616161616
0.131616161616161616
0.141616161616161616
0.151616161616161616
0.161717171717171717
0.171717171717171717
0.181717171717171717
0.191717171717171717
0.21717171717171717
0.2117.2717.481818181717.5217
0.221818181818181818
0.231818181818181818
0.241818181818181818
0.251818181818181818
0.261818181818181818
0.2718.4918.761919191818.2419
0.281919191919191919
0.291919191919191919
0.31919191919191919
0.311919191919191919
0.321919191919191919
0.331919191919191919
0.341919191919191919
0.351919191919191919
0.361919191919191919
0.371919191919191919
0.382020202020202020
0.392020202020202020
0.42020202020202020
0.412020202020202020
0.422020202020202020
0.432020202020202020
0.442020202020202020
0.452020202020202020
0.462020202020202020
0.472020202020202020
0.482020202020202020
0.492020202020202020
0.52020202020202020
0.512121212121212121
0.522121212121212121
0.532121212121212121
0.542121212121212121
0.552121212121212121
0.562121212121212121
0.572121212121212121
0.582121212121212121
0.592121212121212121
0.62121212121212121
0.612222222222222222
0.622222222222222222
0.632222222222222222
0.642222222222222222
0.652222222222222222
0.662222222222222222
0.672222222222222222
0.682222222222222222
0.692222222222222222
0.72222222222222222
0.712222222222222222
0.722222222222222222
0.7322.5123232322.78232323
0.742323232323232323
0.752323232323232323
0.762323232323232323
0.772323232323232323
0.782323232323232323
0.792323232323232323
0.82323232323232323
0.812323232323232323
0.822323232323232323
0.8323.2124242423.38232424
0.842424242424242424
0.852424242424242424
0.862424242424242424
0.872424242424242424
0.882424242424242424
0.892424.322424242424.6824
0.92525252525252525
0.912525252525252525
0.922525252525252525
0.932525252525252525
0.942626262626262626
0.952626262626262626
0.962626262626262626
0.972626.362626262626.6426
0.982727272727272727
0.992727.122727272727.8827

\begin{tabular}{lllllllll}
\hline
Percentiles - Ungrouped Data \tabularnewline
p & Weighted Average at Xnp & Weighted Average at X(n+1)p & Empirical Distribution Function & Empirical Distribution Function - Averaging & Empirical Distribution Function - Interpolation & Closest Observation & True Basic - Statistics Graphics Toolkit & MS Excel (old versions) \tabularnewline
0.01 & 7.87 & 7.88 & 8 & 8 & 8 & 8 & 7.12 & 8 \tabularnewline
0.02 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.03 & 11 & 11 & 11 & 11 & 11.58 & 11 & 11 & 11 \tabularnewline
0.04 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.05 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.06 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.07 & 14 & 14 & 14 & 14 & 14.02 & 14 & 14 & 14 \tabularnewline
0.08 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.09 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.1 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.11 & 15 & 15 & 15 & 15 & 15.46 & 15 & 15 & 15 \tabularnewline
0.12 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.13 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.14 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.15 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.16 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.18 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.19 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.2 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.21 & 17.27 & 17.48 & 18 & 18 & 18 & 17 & 17.52 & 17 \tabularnewline
0.22 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.23 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.24 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.25 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.26 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.27 & 18.49 & 18.76 & 19 & 19 & 19 & 18 & 18.24 & 19 \tabularnewline
0.28 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.29 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.3 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.31 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.32 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.33 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.34 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.35 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.36 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.37 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.38 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.39 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.4 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.41 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.42 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.43 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.44 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.45 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.46 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.47 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.48 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.49 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.5 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.51 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.52 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.53 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.54 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.55 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.56 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.57 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.58 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.59 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.6 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.61 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.62 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.63 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.64 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.65 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.66 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.67 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.68 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.69 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.7 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.71 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.72 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.73 & 22.51 & 23 & 23 & 23 & 22.78 & 23 & 23 & 23 \tabularnewline
0.74 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.75 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.76 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.77 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.78 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.79 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.8 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.81 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.82 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.83 & 23.21 & 24 & 24 & 24 & 23.38 & 23 & 24 & 24 \tabularnewline
0.84 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.85 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.86 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.87 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.88 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.89 & 24 & 24.32 & 24 & 24 & 24 & 24 & 24.68 & 24 \tabularnewline
0.9 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.91 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.92 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.93 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.94 & 26 & 26 & 26 & 26 & 26 & 26 & 26 & 26 \tabularnewline
0.95 & 26 & 26 & 26 & 26 & 26 & 26 & 26 & 26 \tabularnewline
0.96 & 26 & 26 & 26 & 26 & 26 & 26 & 26 & 26 \tabularnewline
0.97 & 26 & 26.36 & 26 & 26 & 26 & 26 & 26.64 & 26 \tabularnewline
0.98 & 27 & 27 & 27 & 27 & 27 & 27 & 27 & 27 \tabularnewline
0.99 & 27 & 27.12 & 27 & 27 & 27 & 27 & 27.88 & 27 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265317&T=1

[TABLE]
[ROW][C]Percentiles - Ungrouped Data[/C][/ROW]
[ROW][C]p[/C][C]Weighted Average at Xnp[/C][C]Weighted Average at X(n+1)p[/C][C]Empirical Distribution Function[/C][C]Empirical Distribution Function - Averaging[/C][C]Empirical Distribution Function - Interpolation[/C][C]Closest Observation[/C][C]True Basic - Statistics Graphics Toolkit[/C][C]MS Excel (old versions)[/C][/ROW]
[ROW][C]0.01[/C][C]7.87[/C][C]7.88[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]7.12[/C][C]8[/C][/ROW]
[ROW][C]0.02[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][/ROW]
[ROW][C]0.03[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11.58[/C][C]11[/C][C]11[/C][C]11[/C][/ROW]
[ROW][C]0.04[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][/ROW]
[ROW][C]0.05[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][/ROW]
[ROW][C]0.06[/C][C]14[/C][C]14[/C][C]14[/C][C]14[/C][C]14[/C][C]14[/C][C]14[/C][C]14[/C][/ROW]
[ROW][C]0.07[/C][C]14[/C][C]14[/C][C]14[/C][C]14[/C][C]14.02[/C][C]14[/C][C]14[/C][C]14[/C][/ROW]
[ROW][C]0.08[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][/ROW]
[ROW][C]0.09[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][/ROW]
[ROW][C]0.1[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][/ROW]
[ROW][C]0.11[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15.46[/C][C]15[/C][C]15[/C][C]15[/C][/ROW]
[ROW][C]0.12[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][/ROW]
[ROW][C]0.13[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][/ROW]
[ROW][C]0.14[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][/ROW]
[ROW][C]0.15[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][/ROW]
[ROW][C]0.16[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][/ROW]
[ROW][C]0.17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][/ROW]
[ROW][C]0.18[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][/ROW]
[ROW][C]0.19[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][/ROW]
[ROW][C]0.2[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][/ROW]
[ROW][C]0.21[/C][C]17.27[/C][C]17.48[/C][C]18[/C][C]18[/C][C]18[/C][C]17[/C][C]17.52[/C][C]17[/C][/ROW]
[ROW][C]0.22[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][/ROW]
[ROW][C]0.23[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][/ROW]
[ROW][C]0.24[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][/ROW]
[ROW][C]0.25[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][/ROW]
[ROW][C]0.26[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][/ROW]
[ROW][C]0.27[/C][C]18.49[/C][C]18.76[/C][C]19[/C][C]19[/C][C]19[/C][C]18[/C][C]18.24[/C][C]19[/C][/ROW]
[ROW][C]0.28[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][/ROW]
[ROW][C]0.29[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][/ROW]
[ROW][C]0.3[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][/ROW]
[ROW][C]0.31[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][/ROW]
[ROW][C]0.32[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][/ROW]
[ROW][C]0.33[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][/ROW]
[ROW][C]0.34[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][/ROW]
[ROW][C]0.35[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][/ROW]
[ROW][C]0.36[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][/ROW]
[ROW][C]0.37[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][/ROW]
[ROW][C]0.38[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.39[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.4[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.41[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.42[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.43[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.44[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.45[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.46[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.47[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.48[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.49[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.5[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.51[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][/ROW]
[ROW][C]0.52[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][/ROW]
[ROW][C]0.53[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][/ROW]
[ROW][C]0.54[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][/ROW]
[ROW][C]0.55[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][/ROW]
[ROW][C]0.56[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][/ROW]
[ROW][C]0.57[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][/ROW]
[ROW][C]0.58[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][/ROW]
[ROW][C]0.59[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][/ROW]
[ROW][C]0.6[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][/ROW]
[ROW][C]0.61[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.62[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.63[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.64[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.65[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.66[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.67[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.68[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.69[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.7[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.71[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.72[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.73[/C][C]22.51[/C][C]23[/C][C]23[/C][C]23[/C][C]22.78[/C][C]23[/C][C]23[/C][C]23[/C][/ROW]
[ROW][C]0.74[/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]0.75[/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]0.76[/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]0.77[/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]0.78[/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]0.79[/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]0.8[/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]0.81[/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]0.82[/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]0.83[/C][C]23.21[/C][C]24[/C][C]24[/C][C]24[/C][C]23.38[/C][C]23[/C][C]24[/C][C]24[/C][/ROW]
[ROW][C]0.84[/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]0.85[/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]0.86[/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]0.87[/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]0.88[/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]0.89[/C][C]24[/C][C]24.32[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][C]24.68[/C][C]24[/C][/ROW]
[ROW][C]0.9[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][/ROW]
[ROW][C]0.91[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][/ROW]
[ROW][C]0.92[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][/ROW]
[ROW][C]0.93[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][/ROW]
[ROW][C]0.94[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][/ROW]
[ROW][C]0.95[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][/ROW]
[ROW][C]0.96[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][/ROW]
[ROW][C]0.97[/C][C]26[/C][C]26.36[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26.64[/C][C]26[/C][/ROW]
[ROW][C]0.98[/C][C]27[/C][C]27[/C][C]27[/C][C]27[/C][C]27[/C][C]27[/C][C]27[/C][C]27[/C][/ROW]
[ROW][C]0.99[/C][C]27[/C][C]27.12[/C][C]27[/C][C]27[/C][C]27[/C][C]27[/C][C]27.88[/C][C]27[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265317&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265317&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)
0.017.877.8888887.128
0.021111111111111111
0.031111111111.58111111
0.041313131313131313
0.051313131313131313
0.061414141414141414
0.071414141414.02141414
0.081515151515151515
0.091515151515151515
0.11515151515151515
0.111515151515.46151515
0.121616161616161616
0.131616161616161616
0.141616161616161616
0.151616161616161616
0.161717171717171717
0.171717171717171717
0.181717171717171717
0.191717171717171717
0.21717171717171717
0.2117.2717.481818181717.5217
0.221818181818181818
0.231818181818181818
0.241818181818181818
0.251818181818181818
0.261818181818181818
0.2718.4918.761919191818.2419
0.281919191919191919
0.291919191919191919
0.31919191919191919
0.311919191919191919
0.321919191919191919
0.331919191919191919
0.341919191919191919
0.351919191919191919
0.361919191919191919
0.371919191919191919
0.382020202020202020
0.392020202020202020
0.42020202020202020
0.412020202020202020
0.422020202020202020
0.432020202020202020
0.442020202020202020
0.452020202020202020
0.462020202020202020
0.472020202020202020
0.482020202020202020
0.492020202020202020
0.52020202020202020
0.512121212121212121
0.522121212121212121
0.532121212121212121
0.542121212121212121
0.552121212121212121
0.562121212121212121
0.572121212121212121
0.582121212121212121
0.592121212121212121
0.62121212121212121
0.612222222222222222
0.622222222222222222
0.632222222222222222
0.642222222222222222
0.652222222222222222
0.662222222222222222
0.672222222222222222
0.682222222222222222
0.692222222222222222
0.72222222222222222
0.712222222222222222
0.722222222222222222
0.7322.5123232322.78232323
0.742323232323232323
0.752323232323232323
0.762323232323232323
0.772323232323232323
0.782323232323232323
0.792323232323232323
0.82323232323232323
0.812323232323232323
0.822323232323232323
0.8323.2124242423.38232424
0.842424242424242424
0.852424242424242424
0.862424242424242424
0.872424242424242424
0.882424242424242424
0.892424.322424242424.6824
0.92525252525252525
0.912525252525252525
0.922525252525252525
0.932525252525252525
0.942626262626262626
0.952626262626262626
0.962626262626262626
0.972626.362626262626.6426
0.982727272727272727
0.992727.122727272727.8827


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')