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rwasp_percentiles.wasp

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Percentiles

Date of computation

Fri, 15 Oct 2010 16:58:38 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/15/t12871618368qieygcwsb1r5jt.htm/, Retrieved Tue, 10 Jun 2025 11:09:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=83613, Retrieved Tue, 10 Jun 2025 11:09:45 +0000

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No (this computation is public)

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Estimated Impact

269

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]
-   PD    [Percentiles] [] [2010-10-15 16:58:38] [558c060a42ec367ec2c020fab85c25c7] [Current]

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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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83613&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83613&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83613&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	'Gwilym Jenkins' @ 72.249.127.135

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	11.62	11.63	12	12	12.61	12	11.37	12
0.02	13.48	13.52	15	15	15.44	13	14.48	13
0.03	16.72	16.78	17	17	17	17	15.22	17
0.04	17.48	17.52	18	18	18	17	17.48	18
0.05	18	18	18	18	18	18	18	18
0.06	18	18	18	18	18	18	18	18
0.07	18.34	18.41	19	19	19	18	18.59	18
0.08	19	19	19	19	19	19	19	19
0.09	19	19	19	19	19	19	19	19
0.1	19.2	19.3	20	20	20	19	19.7	19
0.11	20	20	20	20	20	20	20	20
0.12	20	20	20	20	20	20	20	20
0.13	20	20	20	20	20	20	20	20
0.14	20	20	20	20	20	20	20	20
0.15	20	20	20	20	20	20	20	20
0.16	20	20	20	20	20	20	20	20
0.17	20	20	20	20	20	20	20	20
0.18	20	20	20	20	20	20	20	20
0.19	20	20	20	20	20	20	20	20
0.2	20	20	20	20	20.2	20	20	20
0.21	21	21	21	21	21	21	21	21
0.22	21	21	21	21	21	21	21	21
0.23	21	21	21	21	21	21	21	21
0.24	21	21	21	21	21	21	21	21
0.25	21	21	21	21	21	21	21	21
0.26	21	21	21	21	21	21	21	21
0.27	21	21	21	21	21	21	21	21
0.28	21	21	21	21	21	21	21	21
0.29	21	21.27	21	21	21.69	21	21.73	21
0.3	22	22	22	22	22	22	22	22
0.31	22	22	22	22	22	22	22	22
0.32	22	22	22	22	22	22	22	22
0.33	22	22	22	22	22	22	22	22
0.34	22	22	22	22	22	22	22	22
0.35	22	22	22	22	22	22	22	22
0.36	22	22	22	22	22	22	22	22
0.37	22	22	22	22	22	22	22	22
0.38	22	22	22	22	22	22	22	22
0.39	22.18	22.57	23	23	22.79	22	22.43	23
0.4	23	23	23	23	23	23	23	23
0.41	23	23	23	23	23	23	23	23
0.42	23	23	23	23	23	23	23	23
0.43	23	23	23	23	23	23	23	23
0.44	23	23	23	23	23	23	23	23
0.45	23	23	23	23	23	23	23	23
0.46	23	23	23	23	23	23	23	23
0.47	23	23	23	23	23	23	23	23
0.48	23	23	23	23	23	23	23	23
0.49	23	23	23	23	23	23	23	23
0.5	23	23	23	23	23	23	23	23
0.51	23	23	23	23	23	23	23	23
0.52	23	23	23	23	23	23	23	23
0.53	23	23	23	23	23	23	23	23
0.54	23	23.02	23	23	23	23	23.98	23
0.55	24	24	24	24	24	24	24	24
0.56	24	24	24	24	24	24	24	24
0.57	24	24	24	24	24	24	24	24
0.58	24	24	24	24	24	24	24	24
0.59	24	24	24	24	24	24	24	24
0.6	24	24	24	24	24	24	24	24
0.61	24	24	24	24	24	24	24	24
0.62	24	24	24	24	24	24	24	24
0.63	24	24	24	24	24	24	24	24
0.64	24	24	24	24	24	24	24	24
0.65	24	24	24	24	24	24	24	24
0.66	24	24.58	24	24	24.26	24	24.42	25
0.67	25	25	25	25	25	25	25	25
0.68	25	25	25	25	25	25	25	25
0.69	25	25	25	25	25	25	25	25
0.7	25	25	25	25	25	25	25	25
0.71	25	25	25	25	25	25	25	25
0.72	25	25	25	25	25	25	25	25
0.73	25	25	25	25	25	25	25	25
0.74	25	25	25	25	25	25	25	25
0.75	25	25	25	25	25	25	25	25
0.76	25	25	25	25	25	25	25	25
0.77	25	25	25	25	25	25	25	25
0.78	25	25	25	25	25	25	25	25
0.79	25	25	25	25	25	25	25	25
0.8	25.6	26	26	26	25.8	26	26	26
0.81	26	26	26	26	26	26	26	26
0.82	26	26	26	26	26	26	26	26
0.83	26	26	26	26	26	26	26	26
0.84	26	26	26	26	26	26	26	26
0.85	26	26	26	26	26	26	26	26
0.86	26.32	27	27	27	26.46	26	27	27
0.87	27	27	27	27	27	27	27	27
0.88	27	27	27	27	27	27	27	27
0.89	27	27	27	27	27	27	27	27
0.9	27	27	27	27	27	27	27	27
0.91	27	27.33	27	27	27	27	27.67	27
0.92	28	28	28	28	28	28	28	28
0.93	28	28	28	28	28	28	28	28
0.94	28	28	28	28	28	28	28	28
0.95	28	28	28	28	28	28	28	28
0.96	28	28	28	28	28	28	28	28
0.97	28	28	28	28	28	28	28	28
0.98	28	28	28	28	28	28	28	28
0.99	28	28	28	28	28	28	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 & 11.62 & 11.63 & 12 & 12 & 12.61 & 12 & 11.37 & 12 \tabularnewline
0.02 & 13.48 & 13.52 & 15 & 15 & 15.44 & 13 & 14.48 & 13 \tabularnewline
0.03 & 16.72 & 16.78 & 17 & 17 & 17 & 17 & 15.22 & 17 \tabularnewline
0.04 & 17.48 & 17.52 & 18 & 18 & 18 & 17 & 17.48 & 18 \tabularnewline
0.05 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.06 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.07 & 18.34 & 18.41 & 19 & 19 & 19 & 18 & 18.59 & 18 \tabularnewline
0.08 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.09 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.1 & 19.2 & 19.3 & 20 & 20 & 20 & 19 & 19.7 & 19 \tabularnewline
0.11 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.12 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.13 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.14 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.15 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.16 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.17 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.18 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.19 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.2 & 20 & 20 & 20 & 20 & 20.2 & 20 & 20 & 20 \tabularnewline
0.21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.22 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.23 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.24 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.25 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.26 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.27 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.28 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.29 & 21 & 21.27 & 21 & 21 & 21.69 & 21 & 21.73 & 21 \tabularnewline
0.3 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.31 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.32 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.33 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.34 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.35 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.36 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.37 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.38 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.39 & 22.18 & 22.57 & 23 & 23 & 22.79 & 22 & 22.43 & 23 \tabularnewline
0.4 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.41 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.42 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.43 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.44 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.45 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.46 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.47 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.48 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.49 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.5 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.51 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.52 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.53 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.54 & 23 & 23.02 & 23 & 23 & 23 & 23 & 23.98 & 23 \tabularnewline
0.55 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.56 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.57 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.58 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.59 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.6 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.61 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.62 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.63 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.64 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.65 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.66 & 24 & 24.58 & 24 & 24 & 24.26 & 24 & 24.42 & 25 \tabularnewline
0.67 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.68 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.69 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.7 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.71 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.72 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.73 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.74 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.75 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.76 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.77 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.78 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.79 & 25 & 25 & 25 & 25 & 25 & 25 & 25 & 25 \tabularnewline
0.8 & 25.6 & 26 & 26 & 26 & 25.8 & 26 & 26 & 26 \tabularnewline
0.81 & 26 & 26 & 26 & 26 & 26 & 26 & 26 & 26 \tabularnewline
0.82 & 26 & 26 & 26 & 26 & 26 & 26 & 26 & 26 \tabularnewline
0.83 & 26 & 26 & 26 & 26 & 26 & 26 & 26 & 26 \tabularnewline
0.84 & 26 & 26 & 26 & 26 & 26 & 26 & 26 & 26 \tabularnewline
0.85 & 26 & 26 & 26 & 26 & 26 & 26 & 26 & 26 \tabularnewline
0.86 & 26.32 & 27 & 27 & 27 & 26.46 & 26 & 27 & 27 \tabularnewline
0.87 & 27 & 27 & 27 & 27 & 27 & 27 & 27 & 27 \tabularnewline
0.88 & 27 & 27 & 27 & 27 & 27 & 27 & 27 & 27 \tabularnewline
0.89 & 27 & 27 & 27 & 27 & 27 & 27 & 27 & 27 \tabularnewline
0.9 & 27 & 27 & 27 & 27 & 27 & 27 & 27 & 27 \tabularnewline
0.91 & 27 & 27.33 & 27 & 27 & 27 & 27 & 27.67 & 27 \tabularnewline
0.92 & 28 & 28 & 28 & 28 & 28 & 28 & 28 & 28 \tabularnewline
0.93 & 28 & 28 & 28 & 28 & 28 & 28 & 28 & 28 \tabularnewline
0.94 & 28 & 28 & 28 & 28 & 28 & 28 & 28 & 28 \tabularnewline
0.95 & 28 & 28 & 28 & 28 & 28 & 28 & 28 & 28 \tabularnewline
0.96 & 28 & 28 & 28 & 28 & 28 & 28 & 28 & 28 \tabularnewline
0.97 & 28 & 28 & 28 & 28 & 28 & 28 & 28 & 28 \tabularnewline
0.98 & 28 & 28 & 28 & 28 & 28 & 28 & 28 & 28 \tabularnewline
0.99 & 28 & 28 & 28 & 28 & 28 & 28 & 28 & 28 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83613&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]11.62[/C][C]11.63[/C][C]12[/C][C]12[/C][C]12.61[/C][C]12[/C][C]11.37[/C][C]12[/C][/ROW]
[ROW][C]0.02[/C][C]13.48[/C][C]13.52[/C][C]15[/C][C]15[/C][C]15.44[/C][C]13[/C][C]14.48[/C][C]13[/C][/ROW]
[ROW][C]0.03[/C][C]16.72[/C][C]16.78[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]15.22[/C][C]17[/C][/ROW]
[ROW][C]0.04[/C][C]17.48[/C][C]17.52[/C][C]18[/C][C]18[/C][C]18[/C][C]17[/C][C]17.48[/C][C]18[/C][/ROW]
[ROW][C]0.05[/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]0.06[/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]0.07[/C][C]18.34[/C][C]18.41[/C][C]19[/C][C]19[/C][C]19[/C][C]18[/C][C]18.59[/C][C]18[/C][/ROW]
[ROW][C]0.08[/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]0.09[/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]0.1[/C][C]19.2[/C][C]19.3[/C][C]20[/C][C]20[/C][C]20[/C][C]19[/C][C]19.7[/C][C]19[/C][/ROW]
[ROW][C]0.11[/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]0.12[/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]0.13[/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]0.14[/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]0.15[/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]0.16[/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]0.17[/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]0.18[/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]0.19[/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]0.2[/C][C]20[/C][C]20[/C][C]20[/C][C]20[/C][C]20.2[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.21[/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]0.22[/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]0.23[/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]0.24[/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]0.25[/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]0.26[/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]0.27[/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]0.28[/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]0.29[/C][C]21[/C][C]21.27[/C][C]21[/C][C]21[/C][C]21.69[/C][C]21[/C][C]21.73[/C][C]21[/C][/ROW]
[ROW][C]0.3[/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]0.31[/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]0.32[/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]0.33[/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]0.34[/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]0.35[/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]0.36[/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]0.37[/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]0.38[/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]0.39[/C][C]22.18[/C][C]22.57[/C][C]23[/C][C]23[/C][C]22.79[/C][C]22[/C][C]22.43[/C][C]23[/C][/ROW]
[ROW][C]0.4[/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]0.41[/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]0.42[/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]0.43[/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]0.44[/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]0.45[/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]0.46[/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]0.47[/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]0.48[/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]0.49[/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]0.5[/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]0.51[/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]0.52[/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]0.53[/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]0.54[/C][C]23[/C][C]23.02[/C][C]23[/C][C]23[/C][C]23[/C][C]23[/C][C]23.98[/C][C]23[/C][/ROW]
[ROW][C]0.55[/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]0.56[/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]0.57[/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]0.58[/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]0.59[/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]0.6[/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]0.61[/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]0.62[/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]0.63[/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]0.64[/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]0.65[/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]0.66[/C][C]24[/C][C]24.58[/C][C]24[/C][C]24[/C][C]24.26[/C][C]24[/C][C]24.42[/C][C]25[/C][/ROW]
[ROW][C]0.67[/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]0.68[/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]0.69[/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]0.7[/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]0.71[/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]0.72[/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]0.73[/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]0.74[/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]0.75[/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]0.76[/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]0.77[/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]0.78[/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]0.79[/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]0.8[/C][C]25.6[/C][C]26[/C][C]26[/C][C]26[/C][C]25.8[/C][C]26[/C][C]26[/C][C]26[/C][/ROW]
[ROW][C]0.81[/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]0.82[/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]0.83[/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]0.84[/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]0.85[/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]0.86[/C][C]26.32[/C][C]27[/C][C]27[/C][C]27[/C][C]26.46[/C][C]26[/C][C]27[/C][C]27[/C][/ROW]
[ROW][C]0.87[/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]0.88[/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]0.89[/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]0.9[/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]0.91[/C][C]27[/C][C]27.33[/C][C]27[/C][C]27[/C][C]27[/C][C]27[/C][C]27.67[/C][C]27[/C][/ROW]
[ROW][C]0.92[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][/ROW]
[ROW][C]0.93[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][/ROW]
[ROW][C]0.94[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][/ROW]
[ROW][C]0.95[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][/ROW]
[ROW][C]0.96[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][/ROW]
[ROW][C]0.97[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][/ROW]
[ROW][C]0.98[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][/ROW]
[ROW][C]0.99[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83613&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83613&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	11.62	11.63	12	12	12.61	12	11.37	12
0.02	13.48	13.52	15	15	15.44	13	14.48	13
0.03	16.72	16.78	17	17	17	17	15.22	17
0.04	17.48	17.52	18	18	18	17	17.48	18
0.05	18	18	18	18	18	18	18	18
0.06	18	18	18	18	18	18	18	18
0.07	18.34	18.41	19	19	19	18	18.59	18
0.08	19	19	19	19	19	19	19	19
0.09	19	19	19	19	19	19	19	19
0.1	19.2	19.3	20	20	20	19	19.7	19
0.11	20	20	20	20	20	20	20	20
0.12	20	20	20	20	20	20	20	20
0.13	20	20	20	20	20	20	20	20
0.14	20	20	20	20	20	20	20	20
0.15	20	20	20	20	20	20	20	20
0.16	20	20	20	20	20	20	20	20
0.17	20	20	20	20	20	20	20	20
0.18	20	20	20	20	20	20	20	20
0.19	20	20	20	20	20	20	20	20
0.2	20	20	20	20	20.2	20	20	20
0.21	21	21	21	21	21	21	21	21
0.22	21	21	21	21	21	21	21	21
0.23	21	21	21	21	21	21	21	21
0.24	21	21	21	21	21	21	21	21
0.25	21	21	21	21	21	21	21	21
0.26	21	21	21	21	21	21	21	21
0.27	21	21	21	21	21	21	21	21
0.28	21	21	21	21	21	21	21	21
0.29	21	21.27	21	21	21.69	21	21.73	21
0.3	22	22	22	22	22	22	22	22
0.31	22	22	22	22	22	22	22	22
0.32	22	22	22	22	22	22	22	22
0.33	22	22	22	22	22	22	22	22
0.34	22	22	22	22	22	22	22	22
0.35	22	22	22	22	22	22	22	22
0.36	22	22	22	22	22	22	22	22
0.37	22	22	22	22	22	22	22	22
0.38	22	22	22	22	22	22	22	22
0.39	22.18	22.57	23	23	22.79	22	22.43	23
0.4	23	23	23	23	23	23	23	23
0.41	23	23	23	23	23	23	23	23
0.42	23	23	23	23	23	23	23	23
0.43	23	23	23	23	23	23	23	23
0.44	23	23	23	23	23	23	23	23
0.45	23	23	23	23	23	23	23	23
0.46	23	23	23	23	23	23	23	23
0.47	23	23	23	23	23	23	23	23
0.48	23	23	23	23	23	23	23	23
0.49	23	23	23	23	23	23	23	23
0.5	23	23	23	23	23	23	23	23
0.51	23	23	23	23	23	23	23	23
0.52	23	23	23	23	23	23	23	23
0.53	23	23	23	23	23	23	23	23
0.54	23	23.02	23	23	23	23	23.98	23
0.55	24	24	24	24	24	24	24	24
0.56	24	24	24	24	24	24	24	24
0.57	24	24	24	24	24	24	24	24
0.58	24	24	24	24	24	24	24	24
0.59	24	24	24	24	24	24	24	24
0.6	24	24	24	24	24	24	24	24
0.61	24	24	24	24	24	24	24	24
0.62	24	24	24	24	24	24	24	24
0.63	24	24	24	24	24	24	24	24
0.64	24	24	24	24	24	24	24	24
0.65	24	24	24	24	24	24	24	24
0.66	24	24.58	24	24	24.26	24	24.42	25
0.67	25	25	25	25	25	25	25	25
0.68	25	25	25	25	25	25	25	25
0.69	25	25	25	25	25	25	25	25
0.7	25	25	25	25	25	25	25	25
0.71	25	25	25	25	25	25	25	25
0.72	25	25	25	25	25	25	25	25
0.73	25	25	25	25	25	25	25	25
0.74	25	25	25	25	25	25	25	25
0.75	25	25	25	25	25	25	25	25
0.76	25	25	25	25	25	25	25	25
0.77	25	25	25	25	25	25	25	25
0.78	25	25	25	25	25	25	25	25
0.79	25	25	25	25	25	25	25	25
0.8	25.6	26	26	26	25.8	26	26	26
0.81	26	26	26	26	26	26	26	26
0.82	26	26	26	26	26	26	26	26
0.83	26	26	26	26	26	26	26	26
0.84	26	26	26	26	26	26	26	26
0.85	26	26	26	26	26	26	26	26
0.86	26.32	27	27	27	26.46	26	27	27
0.87	27	27	27	27	27	27	27	27
0.88	27	27	27	27	27	27	27	27
0.89	27	27	27	27	27	27	27	27
0.9	27	27	27	27	27	27	27	27
0.91	27	27.33	27	27	27	27	27.67	27
0.92	28	28	28	28	28	28	28	28
0.93	28	28	28	28	28	28	28	28
0.94	28	28	28	28	28	28	28	28
0.95	28	28	28	28	28	28	28	28
0.96	28	28	28	28	28	28	28	28
0.97	28	28	28	28	28	28	28	28
0.98	28	28	28	28	28	28	28	28
0.99	28	28	28	28	28	28	28	28

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 8 ; par2 = 0 ;

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