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rwasp_percentiles.wasp

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Percentiles

Date of computation

Fri, 15 Oct 2010 14:36:10 +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/t12871533553p71k604etrx7z2.htm/, Retrieved Mon, 10 Nov 2025 04:14:10 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=83568, Retrieved Mon, 10 Nov 2025 04:14:10 +0000

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Estimated Impact

385

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]
-    D    [Percentiles] [] [2010-10-15 14:36:10] [1d094c42a82a95b45a19e32ad4bfff5f] [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	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83568&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83568&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83568&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

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	6.86	6.89	8	8	8	8	6.11	8
0.02	8.24	8.26	9	9	9.22	8	8.74	8
0.03	9.86	9.89	10	10	10.83	10	9.11	10
0.04	11	11	11	11	11	11	11	11
0.05	11	11	11	11	11.05	11	11	11
0.06	11.72	11.78	12	12	12	12	11.22	12
0.07	12	12	12	12	12	12	12	12
0.08	12	12	12	12	12	12	12	12
0.09	12	12	12	12	12	12	12	12
0.1	12	12	12	12	12	12	12	12
0.11	12	12	12	12	12	12	12	12
0.12	12.44	12.56	13	13	13	12	12.44	13
0.13	13	13	13	13	13	13	13	13
0.14	13	13	13	13	13.54	13	13	13
0.15	14	14	14	14	14	14	14	14
0.16	14	14	14	14	14	14	14	14
0.17	14.54	14.71	15	15	15	15	14.29	15
0.18	15	15	15	15	15	15	15	15
0.19	15	15	15	15	15	15	15	15
0.2	15	15	15	15	15	15	15	15
0.21	15.02	15.23	16	16	15.81	15	15.77	15
0.22	16	16	16	16	16	16	16	16
0.23	16	16	16	16	16	16	16	16
0.24	16	16	16	16	16	16	16	16
0.25	16	16	16	16	16	16	16	16
0.26	16	16	16	16	16	16	16	16
0.27	16	16	16	16	16	16	16	16
0.28	16	16	16	16	16	16	16	16
0.29	16	16	16	16	16	16	16	16
0.3	16	16	16	16	16	16	16	16
0.31	16	16	16	16	16	16	16	16
0.32	16	16.16	16	16	16.52	16	16.84	16
0.33	17	17	17	17	17	17	17	17
0.34	17	17	17	17	17	17	17	17
0.35	17	17	17	17	17	17	17	17
0.36	17	17	17	17	17	17	17	17
0.37	17	17	17	17	17	17	17	17
0.38	17	17	17	17	17	17	17	17
0.39	17	17	17	17	17	17	17	17
0.4	17	17	17	17	17	17	17	17
0.41	17.42	17.83	18	18	18	17	17.17	18
0.42	18	18	18	18	18	18	18	18
0.43	18	18	18	18	18	18	18	18
0.44	18	18	18	18	18	18	18	18
0.45	18	18	18	18	18	18	18	18
0.46	18	18	18	18	18	18	18	18
0.47	18	18	18	18	18	18	18	18
0.48	18	18.24	18	18	18.28	18	18.76	18
0.49	19	19	19	19	19	19	19	19
0.5	19	19	19	19	19	19	19	19
0.51	19	19	19	19	19	19	19	19
0.52	19	19	19	19	19	19	19	19
0.53	19	19	19	19	19	19	19	19
0.54	19	19	19	19	19	19	19	19
0.55	19	19	19	19	19	19	19	19
0.56	19	19	19	19	19	19	19	19
0.57	19	19	19	19	19	19	19	19
0.58	19.96	20	20	20	20	20	20	20
0.59	20	20	20	20	20	20	20	20
0.6	20	20	20	20	20	20	20	20
0.61	20	20	20	20	20	20	20	20
0.62	20	20	20	20	20	20	20	20
0.63	20	20	20	20	20	20	20	20
0.64	20	20	20	20	20	20	20	20
0.65	20	20	20	20	20	20	20	20
0.66	20	20	20	20	20	20	20	20
0.67	20	20	20	20	20	20	20	20
0.68	20	20	20	20	20	20	20	20
0.69	20	20.47	20	20	20.09	20	20.53	20
0.7	21	21	21	21	21	21	21	21
0.71	21	21	21	21	21	21	21	21
0.72	21	21	21	21	21	21	21	21
0.73	21.26	21.99	22	22	21.53	21	21.01	22
0.74	22	22	22	22	22	22	22	22
0.75	22	22	22	22	22	22	22	22
0.76	22	22	22	22	22	22	22	22
0.77	22	22	22	22	22	22	22	22
0.78	22	22	22	22	22	22	22	22
0.79	22	22	22	22	22	22	22	22
0.8	22	22.4	22	22	22	22	22.6	22
0.81	23	23	23	23	23	23	23	23
0.82	23	23	23	23	23	23	23	23
0.83	23	23	23	23	23	23	23	23
0.84	23	23	23	23	23	23	23	23
0.85	23	23	23	23	23	23	23	23
0.86	23	23.18	23	23	23	23	23.82	23
0.87	23.94	24	24	24	24	24	24	24
0.88	24	24	24	24	24	24	24	24
0.89	24	24	24	24	24	24	24	24
0.9	24	24	24	24	24	24	24	24
0.91	24	24.33	24	24	24	24	24.67	24
0.92	25	25	25	25	25	25	25	25
0.93	25	25	25	25	25	25	25	25
0.94	25	25.22	25	25	25	25	25.78	25
0.95	25.9	26	26	26	25.95	26	26	26
0.96	26	26.48	26	26	26	26	26.52	26
0.97	27	27	27	27	27	27	27	27
0.98	27	27	27	27	27	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 & 6.86 & 6.89 & 8 & 8 & 8 & 8 & 6.11 & 8 \tabularnewline
0.02 & 8.24 & 8.26 & 9 & 9 & 9.22 & 8 & 8.74 & 8 \tabularnewline
0.03 & 9.86 & 9.89 & 10 & 10 & 10.83 & 10 & 9.11 & 10 \tabularnewline
0.04 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.05 & 11 & 11 & 11 & 11 & 11.05 & 11 & 11 & 11 \tabularnewline
0.06 & 11.72 & 11.78 & 12 & 12 & 12 & 12 & 11.22 & 12 \tabularnewline
0.07 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.08 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.09 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.1 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.11 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.12 & 12.44 & 12.56 & 13 & 13 & 13 & 12 & 12.44 & 13 \tabularnewline
0.13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.14 & 13 & 13 & 13 & 13 & 13.54 & 13 & 13 & 13 \tabularnewline
0.15 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.16 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.17 & 14.54 & 14.71 & 15 & 15 & 15 & 15 & 14.29 & 15 \tabularnewline
0.18 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.19 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.2 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.21 & 15.02 & 15.23 & 16 & 16 & 15.81 & 15 & 15.77 & 15 \tabularnewline
0.22 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.23 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.24 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.25 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.26 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.27 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.28 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.29 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.3 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.31 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.32 & 16 & 16.16 & 16 & 16 & 16.52 & 16 & 16.84 & 16 \tabularnewline
0.33 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.34 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.35 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.36 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.37 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.38 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.39 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.4 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.41 & 17.42 & 17.83 & 18 & 18 & 18 & 17 & 17.17 & 18 \tabularnewline
0.42 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.43 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.44 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.45 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.46 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.47 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.48 & 18 & 18.24 & 18 & 18 & 18.28 & 18 & 18.76 & 18 \tabularnewline
0.49 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.5 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.51 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.52 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.53 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.54 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.55 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.56 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.57 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.58 & 19.96 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.59 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.6 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.61 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.62 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.63 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.64 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.65 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.66 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.67 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.68 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.69 & 20 & 20.47 & 20 & 20 & 20.09 & 20 & 20.53 & 20 \tabularnewline
0.7 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.71 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.72 & 21 & 21 & 21 & 21 & 21 & 21 & 21 & 21 \tabularnewline
0.73 & 21.26 & 21.99 & 22 & 22 & 21.53 & 21 & 21.01 & 22 \tabularnewline
0.74 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.75 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.76 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.77 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.78 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.79 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.8 & 22 & 22.4 & 22 & 22 & 22 & 22 & 22.6 & 22 \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 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.84 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.85 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.86 & 23 & 23.18 & 23 & 23 & 23 & 23 & 23.82 & 23 \tabularnewline
0.87 & 23.94 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.88 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.89 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.9 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.91 & 24 & 24.33 & 24 & 24 & 24 & 24 & 24.67 & 24 \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 & 25 & 25.22 & 25 & 25 & 25 & 25 & 25.78 & 25 \tabularnewline
0.95 & 25.9 & 26 & 26 & 26 & 25.95 & 26 & 26 & 26 \tabularnewline
0.96 & 26 & 26.48 & 26 & 26 & 26 & 26 & 26.52 & 26 \tabularnewline
0.97 & 27 & 27 & 27 & 27 & 27 & 27 & 27 & 27 \tabularnewline
0.98 & 27 & 27 & 27 & 27 & 27 & 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=83568&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]6.86[/C][C]6.89[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]6.11[/C][C]8[/C][/ROW]
[ROW][C]0.02[/C][C]8.24[/C][C]8.26[/C][C]9[/C][C]9[/C][C]9.22[/C][C]8[/C][C]8.74[/C][C]8[/C][/ROW]
[ROW][C]0.03[/C][C]9.86[/C][C]9.89[/C][C]10[/C][C]10[/C][C]10.83[/C][C]10[/C][C]9.11[/C][C]10[/C][/ROW]
[ROW][C]0.04[/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]0.05[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11.05[/C][C]11[/C][C]11[/C][C]11[/C][/ROW]
[ROW][C]0.06[/C][C]11.72[/C][C]11.78[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]11.22[/C][C]12[/C][/ROW]
[ROW][C]0.07[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][/ROW]
[ROW][C]0.08[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][/ROW]
[ROW][C]0.09[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][/ROW]
[ROW][C]0.1[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][/ROW]
[ROW][C]0.11[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][/ROW]
[ROW][C]0.12[/C][C]12.44[/C][C]12.56[/C][C]13[/C][C]13[/C][C]13[/C][C]12[/C][C]12.44[/C][C]13[/C][/ROW]
[ROW][C]0.13[/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]0.14[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][C]13.54[/C][C]13[/C][C]13[/C][C]13[/C][/ROW]
[ROW][C]0.15[/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]0.16[/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]0.17[/C][C]14.54[/C][C]14.71[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]14.29[/C][C]15[/C][/ROW]
[ROW][C]0.18[/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]0.19[/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]0.2[/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]0.21[/C][C]15.02[/C][C]15.23[/C][C]16[/C][C]16[/C][C]15.81[/C][C]15[/C][C]15.77[/C][C]15[/C][/ROW]
[ROW][C]0.22[/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]0.23[/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]0.24[/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]0.25[/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]0.26[/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]0.27[/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]0.28[/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]0.29[/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]0.3[/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]0.31[/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]0.32[/C][C]16[/C][C]16.16[/C][C]16[/C][C]16[/C][C]16.52[/C][C]16[/C][C]16.84[/C][C]16[/C][/ROW]
[ROW][C]0.33[/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]0.34[/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]0.35[/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]0.36[/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]0.37[/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]0.38[/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]0.39[/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]0.4[/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]0.41[/C][C]17.42[/C][C]17.83[/C][C]18[/C][C]18[/C][C]18[/C][C]17[/C][C]17.17[/C][C]18[/C][/ROW]
[ROW][C]0.42[/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]0.43[/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]0.44[/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]0.45[/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]0.46[/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]0.47[/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]0.48[/C][C]18[/C][C]18.24[/C][C]18[/C][C]18[/C][C]18.28[/C][C]18[/C][C]18.76[/C][C]18[/C][/ROW]
[ROW][C]0.49[/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]0.5[/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]0.51[/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]0.52[/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]0.53[/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]0.54[/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]0.55[/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]0.56[/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]0.57[/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]0.58[/C][C]19.96[/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]0.59[/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]0.6[/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]0.61[/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]0.62[/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]0.63[/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]0.64[/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]0.65[/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]0.66[/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]0.67[/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]0.68[/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]0.69[/C][C]20[/C][C]20.47[/C][C]20[/C][C]20[/C][C]20.09[/C][C]20[/C][C]20.53[/C][C]20[/C][/ROW]
[ROW][C]0.7[/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]0.71[/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]0.72[/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]0.73[/C][C]21.26[/C][C]21.99[/C][C]22[/C][C]22[/C][C]21.53[/C][C]21[/C][C]21.01[/C][C]22[/C][/ROW]
[ROW][C]0.74[/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]0.75[/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]0.76[/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]0.77[/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]0.78[/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]0.79[/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]0.8[/C][C]22[/C][C]22.4[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22.6[/C][C]22[/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[/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]0.84[/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]0.85[/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]0.86[/C][C]23[/C][C]23.18[/C][C]23[/C][C]23[/C][C]23[/C][C]23[/C][C]23.82[/C][C]23[/C][/ROW]
[ROW][C]0.87[/C][C]23.94[/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[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][/ROW]
[ROW][C]0.9[/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]0.91[/C][C]24[/C][C]24.33[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][C]24.67[/C][C]24[/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]25[/C][C]25.22[/C][C]25[/C][C]25[/C][C]25[/C][C]25[/C][C]25.78[/C][C]25[/C][/ROW]
[ROW][C]0.95[/C][C]25.9[/C][C]26[/C][C]26[/C][C]26[/C][C]25.95[/C][C]26[/C][C]26[/C][C]26[/C][/ROW]
[ROW][C]0.96[/C][C]26[/C][C]26.48[/C][C]26[/C][C]26[/C][C]26[/C][C]26[/C][C]26.52[/C][C]26[/C][/ROW]
[ROW][C]0.97[/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]0.98[/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]27.38[/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=83568&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83568&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	6.86	6.89	8	8	8	8	6.11	8
0.02	8.24	8.26	9	9	9.22	8	8.74	8
0.03	9.86	9.89	10	10	10.83	10	9.11	10
0.04	11	11	11	11	11	11	11	11
0.05	11	11	11	11	11.05	11	11	11
0.06	11.72	11.78	12	12	12	12	11.22	12
0.07	12	12	12	12	12	12	12	12
0.08	12	12	12	12	12	12	12	12
0.09	12	12	12	12	12	12	12	12
0.1	12	12	12	12	12	12	12	12
0.11	12	12	12	12	12	12	12	12
0.12	12.44	12.56	13	13	13	12	12.44	13
0.13	13	13	13	13	13	13	13	13
0.14	13	13	13	13	13.54	13	13	13
0.15	14	14	14	14	14	14	14	14
0.16	14	14	14	14	14	14	14	14
0.17	14.54	14.71	15	15	15	15	14.29	15
0.18	15	15	15	15	15	15	15	15
0.19	15	15	15	15	15	15	15	15
0.2	15	15	15	15	15	15	15	15
0.21	15.02	15.23	16	16	15.81	15	15.77	15
0.22	16	16	16	16	16	16	16	16
0.23	16	16	16	16	16	16	16	16
0.24	16	16	16	16	16	16	16	16
0.25	16	16	16	16	16	16	16	16
0.26	16	16	16	16	16	16	16	16
0.27	16	16	16	16	16	16	16	16
0.28	16	16	16	16	16	16	16	16
0.29	16	16	16	16	16	16	16	16
0.3	16	16	16	16	16	16	16	16
0.31	16	16	16	16	16	16	16	16
0.32	16	16.16	16	16	16.52	16	16.84	16
0.33	17	17	17	17	17	17	17	17
0.34	17	17	17	17	17	17	17	17
0.35	17	17	17	17	17	17	17	17
0.36	17	17	17	17	17	17	17	17
0.37	17	17	17	17	17	17	17	17
0.38	17	17	17	17	17	17	17	17
0.39	17	17	17	17	17	17	17	17
0.4	17	17	17	17	17	17	17	17
0.41	17.42	17.83	18	18	18	17	17.17	18
0.42	18	18	18	18	18	18	18	18
0.43	18	18	18	18	18	18	18	18
0.44	18	18	18	18	18	18	18	18
0.45	18	18	18	18	18	18	18	18
0.46	18	18	18	18	18	18	18	18
0.47	18	18	18	18	18	18	18	18
0.48	18	18.24	18	18	18.28	18	18.76	18
0.49	19	19	19	19	19	19	19	19
0.5	19	19	19	19	19	19	19	19
0.51	19	19	19	19	19	19	19	19
0.52	19	19	19	19	19	19	19	19
0.53	19	19	19	19	19	19	19	19
0.54	19	19	19	19	19	19	19	19
0.55	19	19	19	19	19	19	19	19
0.56	19	19	19	19	19	19	19	19
0.57	19	19	19	19	19	19	19	19
0.58	19.96	20	20	20	20	20	20	20
0.59	20	20	20	20	20	20	20	20
0.6	20	20	20	20	20	20	20	20
0.61	20	20	20	20	20	20	20	20
0.62	20	20	20	20	20	20	20	20
0.63	20	20	20	20	20	20	20	20
0.64	20	20	20	20	20	20	20	20
0.65	20	20	20	20	20	20	20	20
0.66	20	20	20	20	20	20	20	20
0.67	20	20	20	20	20	20	20	20
0.68	20	20	20	20	20	20	20	20
0.69	20	20.47	20	20	20.09	20	20.53	20
0.7	21	21	21	21	21	21	21	21
0.71	21	21	21	21	21	21	21	21
0.72	21	21	21	21	21	21	21	21
0.73	21.26	21.99	22	22	21.53	21	21.01	22
0.74	22	22	22	22	22	22	22	22
0.75	22	22	22	22	22	22	22	22
0.76	22	22	22	22	22	22	22	22
0.77	22	22	22	22	22	22	22	22
0.78	22	22	22	22	22	22	22	22
0.79	22	22	22	22	22	22	22	22
0.8	22	22.4	22	22	22	22	22.6	22
0.81	23	23	23	23	23	23	23	23
0.82	23	23	23	23	23	23	23	23
0.83	23	23	23	23	23	23	23	23
0.84	23	23	23	23	23	23	23	23
0.85	23	23	23	23	23	23	23	23
0.86	23	23.18	23	23	23	23	23.82	23
0.87	23.94	24	24	24	24	24	24	24
0.88	24	24	24	24	24	24	24	24
0.89	24	24	24	24	24	24	24	24
0.9	24	24	24	24	24	24	24	24
0.91	24	24.33	24	24	24	24	24.67	24
0.92	25	25	25	25	25	25	25	25
0.93	25	25	25	25	25	25	25	25
0.94	25	25.22	25	25	25	25	25.78	25
0.95	25.9	26	26	26	25.95	26	26	26
0.96	26	26.48	26	26	26	26	26.52	26
0.97	27	27	27	27	27	27	27	27
0.98	27	27	27	27	27	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