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R Software Module

rwasp_percentiles.wasp

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Percentiles

Date of computation

Tue, 16 Oct 2012 06:37:56 -0400

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/16/t135038411171sg3zu5pag06rp.htm/, Retrieved Wed, 11 Feb 2026 13:01:34 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=178535, Retrieved Wed, 11 Feb 2026 13:01:34 +0000

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Estimated Impact

287

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]
- R       [Percentiles] [Workshop 3 - Taak...] [2012-10-16 10:37:56] [8f5998680e1bcb718ece477961fd7528] [Current]
-    D      [Percentiles] [Workshop 3 - Taak...] [2012-10-16 10:42:38] [4a105833c8ddfdeeca92280f04e021e6] 
-    D        [Percentiles] [Workshop 3 - Taak...] [2012-10-16 10:44:00] [4a105833c8ddfdeeca92280f04e021e6] 
-    D          [Percentiles] [Workshop 3 - Taak...] [2012-10-16 10:45:13] [4a105833c8ddfdeeca92280f04e021e6] 
- R  D            [Percentiles] [Workshop 3 - Taak...] [2012-10-16 10:47:31] [4a105833c8ddfdeeca92280f04e021e6] 

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=178535&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=178535&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=178535&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Percentiles - Ungrouped Data
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)
0.01	8.24	8.26	9	9	10.22	9	7.74	9
0.02	11.48	11.52	13	13	13	11	12.48	11
0.03	13	13	13	13	13.83	13	13	13
0.04	14	14	14	14	14.44	14	14	14
0.05	15	15	15	15	15	15	15	15
0.06	15	15	15	15	15	15	15	15
0.07	15	15	15	15	15.27	15	15	15
0.08	15.96	16	16	16	16	16	16	16
0.09	16	16	16	16	16	16	16	16
0.1	16	16	16	16	16	16	16	16
0.11	16	16	16	16	16	16	16	16
0.12	16	16	16	16	16	16	16	16
0.13	16	16	16	16	16	16	16	16
0.14	16.68	16.82	17	17	17	17	16.18	17
0.15	17	17	17	17	17	17	17	17
0.16	17	17	17	17	17	17	17	17
0.17	17	17	17	17	17	17	17	17
0.18	17	17	17	17	17	17	17	17
0.19	17.78	17.97	18	18	18	18	17.03	18
0.2	18	18	18	18	18	18	18	18
0.21	18	18	18	18	18	18	18	18
0.22	18	18	18	18	18	18	18	18
0.23	18	18	18	18	18	18	18	18
0.24	18	18	18	18	18	18	18	18
0.25	18	18	18	18	18	18	18	18
0.26	18	18	18	18	18	18	18	18
0.27	18	18.01	18	18	18.47	18	18.99	18
0.28	19	19	19	19	19	19	19	19
0.29	19	19	19	19	19	19	19	19
0.3	19	19	19	19	19	19	19	19
0.31	19	19	19	19	19	19	19	19
0.32	19	19	19	19	19	19	19	19
0.33	19	19	19	19	19	19	19	19
0.34	19	19	19	19	19	19	19	19
0.35	19.7	20	20	20	20	20	20	20
0.36	20	20	20	20	20	20	20	20
0.37	20	20	20	20	20	20	20	20
0.38	20	20	20	20	20	20	20	20
0.39	20	20	20	20	20	20	20	20
0.4	20	20	20	20	20	20	20	20
0.41	20	20	20	20	20	20	20	20
0.42	20	20	20	20	20	20	20	20
0.43	20	20	20	20	20	20	20	20
0.44	20	20	20	20	20	20	20	20
0.45	20	20	20	20	20	20	20	20
0.46	20	20	20	20	20.06	20	20	20
0.47	21	21	21	21	21	21	21	21
0.48	21	21	21	21	21	21	21	21
0.49	21	21	21	21	21	21	21	21
0.5	21	21	21	21	21	21	21	21
0.51	21	21	21	21	21	21	21	21
0.52	21	21	21	21	21	21	21	21
0.53	21	21	21	21	21	21	21	21
0.54	21	21	21	21	21	21	21	21
0.55	21.1	21.65	22	22	21.55	21	21.35	22
0.56	22	22	22	22	22	22	22	22
0.57	22	22	22	22	22	22	22	22
0.58	22	22	22	22	22	22	22	22
0.59	22	22	22	22	22	22	22	22
0.6	22	22	22	22	22	22	22	22
0.61	22	22	22	22	22	22	22	22
0.62	22	22	22	22	22	22	22	22
0.63	22	22	22	22	22	22	22	22
0.64	22	22	22	22	22	22	22	22
0.65	22	22	22	22	22	22	22	22
0.66	22	22	22	22	22	22	22	22
0.67	22	22.21	22	22	22	22	22.79	22
0.68	23	23	23	23	23	23	23	23
0.69	23	23	23	23	23	23	23	23
0.7	23	23	23	23	23	23	23	23
0.71	23	23	23	23	23	23	23	23
0.72	23	23	23	23	23	23	23	23
0.73	23	23	23	23	23	23	23	23
0.74	23	23	23	23	23	23	23	23
0.75	23	23	23	23	23	23	23	23
0.76	23.12	23.88	24	24	23.36	23	23.12	24
0.77	24	24	24	24	24	24	24	24
0.78	24	24	24	24	24	24	24	24
0.79	24	24	24	24	24	24	24	24
0.8	24	24	24	24	24	24	24	24
0.81	24	24	24	24	24	24	24	24
0.82	24	24	24	24	24	24	24	24
0.83	24	24	24	24	24	24	24	24
0.84	24	24	24	24	24	24	24	24
0.85	24	24	24	24	24	24	24	24
0.86	24.32	25	25	25	24.46	24	25	25
0.87	25	25	25	25	25	25	25	25
0.88	25	25	25	25	25	25	25	25
0.89	25	25	25	25	25	25	25	25
0.9	25	25	25	25	25	25	25	25
0.91	25	25	25	25	25	25	25	25
0.92	25	25	25	25	25	25	25	25
0.93	25	25.59	25	25	25	25	25.41	26
0.94	26	26	26	26	26	26	26	26
0.95	26	26	26	26	26	26	26	26
0.96	26	26	26	26	26	26	26	26
0.97	26	26.11	26	26	26	26	26.89	26
0.98	26.76	27	27	27	26.78	27	27	27
0.99	27.38	28	28	28	27.39	27	28	28

\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 & 8.24 & 8.26 & 9 & 9 & 10.22 & 9 & 7.74 & 9 \tabularnewline
0.02 & 11.48 & 11.52 & 13 & 13 & 13 & 11 & 12.48 & 11 \tabularnewline
0.03 & 13 & 13 & 13 & 13 & 13.83 & 13 & 13 & 13 \tabularnewline
0.04 & 14 & 14 & 14 & 14 & 14.44 & 14 & 14 & 14 \tabularnewline
0.05 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.06 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.07 & 15 & 15 & 15 & 15 & 15.27 & 15 & 15 & 15 \tabularnewline
0.08 & 15.96 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.09 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.1 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.11 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \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 & 16.68 & 16.82 & 17 & 17 & 17 & 17 & 16.18 & 17 \tabularnewline
0.15 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \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 & 17.78 & 17.97 & 18 & 18 & 18 & 18 & 17.03 & 18 \tabularnewline
0.2 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.21 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \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 & 18.01 & 18 & 18 & 18.47 & 18 & 18.99 & 18 \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 & 19.7 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.36 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.37 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \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 & 20.06 & 20 & 20 & 20 \tabularnewline
0.47 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.48 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.49 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.5 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \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 & 21.1 & 21.65 & 22 & 22 & 21.55 & 21 & 21.35 & 22 \tabularnewline
0.56 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.57 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.58 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.59 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.6 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \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 & 22.21 & 22 & 22 & 22 & 22 & 22.79 & 22 \tabularnewline
0.68 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.69 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.7 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.71 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.72 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.73 & 23 & 23 & 23 & 23 & 23 & 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 & 23.12 & 23.88 & 24 & 24 & 23.36 & 23 & 23.12 & 24 \tabularnewline
0.77 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.78 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.79 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.8 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.81 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.82 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.83 & 24 & 24 & 24 & 24 & 24 & 24 & 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 & 24.32 & 25 & 25 & 25 & 24.46 & 24 & 25 & 25 \tabularnewline
0.87 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.88 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.89 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \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 & 25.59 & 25 & 25 & 25 & 25 & 25.41 & 26 \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 & 26.11 & 26 & 26 & 26 & 26 & 26.89 & 26 \tabularnewline
0.98 & 26.76 & 27 & 27 & 27 & 26.78 & 27 & 27 & 27 \tabularnewline
0.99 & 27.38 & 28 & 28 & 28 & 27.39 & 27 & 28 & 28 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=178535&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]8.24[/C][C]8.26[/C][C]9[/C][C]9[/C][C]10.22[/C][C]9[/C][C]7.74[/C][C]9[/C][/ROW]
[ROW][C]0.02[/C][C]11.48[/C][C]11.52[/C][C]13[/C][C]13[/C][C]13[/C][C]11[/C][C]12.48[/C][C]11[/C][/ROW]
[ROW][C]0.03[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][C]13.83[/C][C]13[/C][C]13[/C][C]13[/C][/ROW]
[ROW][C]0.04[/C][C]14[/C][C]14[/C][C]14[/C][C]14[/C][C]14.44[/C][C]14[/C][C]14[/C][C]14[/C][/ROW]
[ROW][C]0.05[/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]0.06[/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]0.07[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15.27[/C][C]15[/C][C]15[/C][C]15[/C][/ROW]
[ROW][C]0.08[/C][C]15.96[/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]0.09[/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]0.1[/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]0.11[/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]0.12[/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]16.68[/C][C]16.82[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]16.18[/C][C]17[/C][/ROW]
[ROW][C]0.15[/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]0.16[/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]17.78[/C][C]17.97[/C][C]18[/C][C]18[/C][C]18[/C][C]18[/C][C]17.03[/C][C]18[/C][/ROW]
[ROW][C]0.2[/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]0.21[/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]0.22[/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[/C][C]18.01[/C][C]18[/C][C]18[/C][C]18.47[/C][C]18[/C][C]18.99[/C][C]18[/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]19.7[/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]0.36[/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]0.37[/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]0.38[/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]20.06[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.47[/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]0.48[/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]0.49[/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]0.5[/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]0.51[/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]21.1[/C][C]21.65[/C][C]22[/C][C]22[/C][C]21.55[/C][C]21[/C][C]21.35[/C][C]22[/C][/ROW]
[ROW][C]0.56[/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]0.57[/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]0.58[/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]0.59[/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]0.6[/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]0.61[/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]22.21[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22.79[/C][C]22[/C][/ROW]
[ROW][C]0.68[/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]0.69[/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]0.7[/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]0.71[/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]0.72[/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]0.73[/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]0.74[/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]23.12[/C][C]23.88[/C][C]24[/C][C]24[/C][C]23.36[/C][C]23[/C][C]23.12[/C][C]24[/C][/ROW]
[ROW][C]0.77[/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]0.78[/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]0.79[/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]0.8[/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]0.81[/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]0.82[/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]0.83[/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]0.84[/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]24.32[/C][C]25[/C][C]25[/C][C]25[/C][C]24.46[/C][C]24[/C][C]25[/C][C]25[/C][/ROW]
[ROW][C]0.87[/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]0.88[/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]0.89[/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]0.9[/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]25.59[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25.41[/C][C]26[/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]26.11[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26.89[/C][C]26[/C][/ROW]
[ROW][C]0.98[/C][C]26.76[/C][C]27[/C][C]27[/C][C]27[/C][C]26.78[/C][C]27[/C][C]27[/C][C]27[/C][/ROW]
[ROW][C]0.99[/C][C]27.38[/C][C]28[/C][C]28[/C][C]28[/C][C]27.39[/C][C]27[/C][C]28[/C][C]28[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=178535&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=178535&T=1

As an alternative you can also use a QR Code:

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

Percentiles - Ungrouped Data
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)
0.01	8.24	8.26	9	9	10.22	9	7.74	9
0.02	11.48	11.52	13	13	13	11	12.48	11
0.03	13	13	13	13	13.83	13	13	13
0.04	14	14	14	14	14.44	14	14	14
0.05	15	15	15	15	15	15	15	15
0.06	15	15	15	15	15	15	15	15
0.07	15	15	15	15	15.27	15	15	15
0.08	15.96	16	16	16	16	16	16	16
0.09	16	16	16	16	16	16	16	16
0.1	16	16	16	16	16	16	16	16
0.11	16	16	16	16	16	16	16	16
0.12	16	16	16	16	16	16	16	16
0.13	16	16	16	16	16	16	16	16
0.14	16.68	16.82	17	17	17	17	16.18	17
0.15	17	17	17	17	17	17	17	17
0.16	17	17	17	17	17	17	17	17
0.17	17	17	17	17	17	17	17	17
0.18	17	17	17	17	17	17	17	17
0.19	17.78	17.97	18	18	18	18	17.03	18
0.2	18	18	18	18	18	18	18	18
0.21	18	18	18	18	18	18	18	18
0.22	18	18	18	18	18	18	18	18
0.23	18	18	18	18	18	18	18	18
0.24	18	18	18	18	18	18	18	18
0.25	18	18	18	18	18	18	18	18
0.26	18	18	18	18	18	18	18	18
0.27	18	18.01	18	18	18.47	18	18.99	18
0.28	19	19	19	19	19	19	19	19
0.29	19	19	19	19	19	19	19	19
0.3	19	19	19	19	19	19	19	19
0.31	19	19	19	19	19	19	19	19
0.32	19	19	19	19	19	19	19	19
0.33	19	19	19	19	19	19	19	19
0.34	19	19	19	19	19	19	19	19
0.35	19.7	20	20	20	20	20	20	20
0.36	20	20	20	20	20	20	20	20
0.37	20	20	20	20	20	20	20	20
0.38	20	20	20	20	20	20	20	20
0.39	20	20	20	20	20	20	20	20
0.4	20	20	20	20	20	20	20	20
0.41	20	20	20	20	20	20	20	20
0.42	20	20	20	20	20	20	20	20
0.43	20	20	20	20	20	20	20	20
0.44	20	20	20	20	20	20	20	20
0.45	20	20	20	20	20	20	20	20
0.46	20	20	20	20	20.06	20	20	20
0.47	21	21	21	21	21	21	21	21
0.48	21	21	21	21	21	21	21	21
0.49	21	21	21	21	21	21	21	21
0.5	21	21	21	21	21	21	21	21
0.51	21	21	21	21	21	21	21	21
0.52	21	21	21	21	21	21	21	21
0.53	21	21	21	21	21	21	21	21
0.54	21	21	21	21	21	21	21	21
0.55	21.1	21.65	22	22	21.55	21	21.35	22
0.56	22	22	22	22	22	22	22	22
0.57	22	22	22	22	22	22	22	22
0.58	22	22	22	22	22	22	22	22
0.59	22	22	22	22	22	22	22	22
0.6	22	22	22	22	22	22	22	22
0.61	22	22	22	22	22	22	22	22
0.62	22	22	22	22	22	22	22	22
0.63	22	22	22	22	22	22	22	22
0.64	22	22	22	22	22	22	22	22
0.65	22	22	22	22	22	22	22	22
0.66	22	22	22	22	22	22	22	22
0.67	22	22.21	22	22	22	22	22.79	22
0.68	23	23	23	23	23	23	23	23
0.69	23	23	23	23	23	23	23	23
0.7	23	23	23	23	23	23	23	23
0.71	23	23	23	23	23	23	23	23
0.72	23	23	23	23	23	23	23	23
0.73	23	23	23	23	23	23	23	23
0.74	23	23	23	23	23	23	23	23
0.75	23	23	23	23	23	23	23	23
0.76	23.12	23.88	24	24	23.36	23	23.12	24
0.77	24	24	24	24	24	24	24	24
0.78	24	24	24	24	24	24	24	24
0.79	24	24	24	24	24	24	24	24
0.8	24	24	24	24	24	24	24	24
0.81	24	24	24	24	24	24	24	24
0.82	24	24	24	24	24	24	24	24
0.83	24	24	24	24	24	24	24	24
0.84	24	24	24	24	24	24	24	24
0.85	24	24	24	24	24	24	24	24
0.86	24.32	25	25	25	24.46	24	25	25
0.87	25	25	25	25	25	25	25	25
0.88	25	25	25	25	25	25	25	25
0.89	25	25	25	25	25	25	25	25
0.9	25	25	25	25	25	25	25	25
0.91	25	25	25	25	25	25	25	25
0.92	25	25	25	25	25	25	25	25
0.93	25	25.59	25	25	25	25	25.41	26
0.94	26	26	26	26	26	26	26	26
0.95	26	26	26	26	26	26	26	26
0.96	26	26	26	26	26	26	26	26
0.97	26	26.11	26	26	26	26	26.89	26
0.98	26.76	27	27	27	26.78	27	27	27
0.99	27.38	28	28	28	27.39	27	28	28

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code