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rwasp_percentiles.wasp

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Percentiles

Date of computation

Fri, 15 Oct 2010 07:05:49 +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/t12871263053hiro6kmmgwb3a2.htm/, Retrieved Sat, 21 Jun 2025 16:53:43 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=83323, Retrieved Sat, 21 Jun 2025 16:53:43 +0000

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Estimated Impact

293

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] [Intrinsic motivat...] [2010-10-15 07:05:49] [4b5105369ca2b03f8f7589f5d63124c0] [Current]
- R         [Percentiles] [] [2011-10-14 16:56:20] [6d8d5ddb787739e9d7807ef3376f0127] 

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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	1 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83323&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83323&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83323&T=0

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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	1 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

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	4	4	4	4	4.61	4	4	4
0.02	5	5	5	5	5	5	5	5
0.03	5	5	5	5	5	5	5	5
0.04	5.48	5.52	6	6	6	5	5.48	6
0.05	6.1	6.15	7	7	7	6	6.85	6
0.06	7	7	7	7	7	7	7	7
0.07	7	7	7	7	7.27	7	7	7
0.08	7.96	8	8	8	8	8	8	8
0.09	8	8	8	8	8	8	8	8
0.1	8	8	8	8	8.1	8	8	8
0.11	8.82	8.93	9	9	9	9	8.07	9
0.12	9	9	9	9	9	9	9	9
0.13	9	9	9	9	9	9	9	9
0.14	9	9	9	9	9	9	9	9
0.15	9	9	9	9	9	9	9	9
0.16	9	9	9	9	9	9	9	9
0.17	9.54	9.71	10	10	10	10	9.29	10
0.18	10	10	10	10	10	10	10	10
0.19	10	10	10	10	10	10	10	10
0.2	10	10	10	10	10	10	10	10
0.21	10	10	10	10	10	10	10	10
0.22	10	10	10	10	10	10	10	10
0.23	10.26	10.49	11	11	11	10	10.51	10
0.24	11	11	11	11	11	11	11	11
0.25	11	11	11	11	11	11	11	11
0.26	11	11	11	11	11	11	11	11
0.27	11	11	11	11	11	11	11	11
0.28	11.36	11.64	12	12	12	11	11.36	12
0.29	12	12	12	12	12	12	12	12
0.3	12	12	12	12	12	12	12	12
0.31	12	12	12	12	12	12	12	12
0.32	12	12	12	12	12	12	12	12
0.33	12	12	12	12	12	12	12	12
0.34	12	12	12	12	12	12	12	12
0.35	12	12	12	12	12	12	12	12
0.36	12	12	12	12	12	12	12	12
0.37	12	12	12	12	12	12	12	12
0.38	12	12	12	12	12.18	12	12	12
0.39	13	13	13	13	13	13	13	13
0.4	13	13	13	13	13	13	13	13
0.41	13	13	13	13	13	13	13	13
0.42	13	13	13	13	13	13	13	13
0.43	13	13	13	13	13	13	13	13
0.44	13	13	13	13	13	13	13	13
0.45	13	13.35	13	13	13.45	13	13.65	13
0.46	14	14	14	14	14	14	14	14
0.47	14	14	14	14	14	14	14	14
0.48	14	14	14	14	14	14	14	14
0.49	14	14	14	14	14	14	14	14
0.5	14	14	14	14	14	14	14	14
0.51	14	14	14	14	14	14	14	14
0.52	14	14	14	14	14	14	14	14
0.53	14	14	14	14	14	14	14	14
0.54	14.48	15	15	15	14.94	14	15	15
0.55	15	15	15	15	15	15	15	15
0.56	15	15	15	15	15	15	15	15
0.57	15	15	15	15	15	15	15	15
0.58	15	15	15	15	15	15	15	15
0.59	15	15	15	15	15	15	15	15
0.6	15.2	15.8	16	16	15.6	15	15.2	16
0.61	16	16	16	16	16	16	16	16
0.62	16	16	16	16	16	16	16	16
0.63	16	16	16	16	16	16	16	16
0.64	16	16	16	16	16	16	16	16
0.65	16	16	16	16	16	16	16	16
0.66	16.92	17	17	17	17	17	17	17
0.67	17	17	17	17	17	17	17	17
0.68	17	17	17	17	17	17	17	17
0.69	17	17	17	17	17	17	17	17
0.7	17	17	17	17	17	17	17	17
0.71	17	17	17	17	17	17	17	17
0.72	17	17	17	17	17	17	17	17
0.73	17	17	17	17	17	17	17	17
0.74	17.88	18	18	18	18	18	18	18
0.75	18	18	18	18	18	18	18	18
0.76	18	18	18	18	18	18	18	18
0.77	18	18	18	18	18	18	18	18
0.78	18	18	18	18	18	18	18	18
0.79	18	18	18	18	18	18	18	18
0.8	18	18	18	18	18	18	18	18
0.81	18	18	18	18	18	18	18	18
0.82	18	18.66	18	18	18.02	18	18.34	19
0.83	19	19	19	19	19	19	19	19
0.84	19	19	19	19	19	19	19	19
0.85	19	19	19	19	19	19	19	19
0.86	19	19	19	19	19	19	19	19
0.87	19	19	19	19	19	19	19	19
0.88	19.56	20	20	20	19.68	20	20	20
0.89	20	20	20	20	20	20	20	20
0.9	20	20	20	20	20	20	20	20
0.91	20	20	20	20	20	20	20	20
0.92	20.04	20.96	21	21	20.12	20	20.04	21
0.93	21	21.59	21	21	21	21	21.41	22
0.94	22	22	22	22	22	22	22	22
0.95	22	22	22	22	22	22	22	22
0.96	22	22.48	22	22	22	22	22.52	22
0.97	23	23	23	23	23	23	23	23
0.98	23	23.74	23	23	23	23	23.26	24
0.99	24	24	24	24	24	24	24	24

\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 & 4 & 4 & 4 & 4 & 4.61 & 4 & 4 & 4 \tabularnewline
0.02 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 \tabularnewline
0.03 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 \tabularnewline
0.04 & 5.48 & 5.52 & 6 & 6 & 6 & 5 & 5.48 & 6 \tabularnewline
0.05 & 6.1 & 6.15 & 7 & 7 & 7 & 6 & 6.85 & 6 \tabularnewline
0.06 & 7 & 7 & 7 & 7 & 7 & 7 & 7 & 7 \tabularnewline
0.07 & 7 & 7 & 7 & 7 & 7.27 & 7 & 7 & 7 \tabularnewline
0.08 & 7.96 & 8 & 8 & 8 & 8 & 8 & 8 & 8 \tabularnewline
0.09 & 8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 \tabularnewline
0.1 & 8 & 8 & 8 & 8 & 8.1 & 8 & 8 & 8 \tabularnewline
0.11 & 8.82 & 8.93 & 9 & 9 & 9 & 9 & 8.07 & 9 \tabularnewline
0.12 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 \tabularnewline
0.13 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 \tabularnewline
0.14 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 \tabularnewline
0.15 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 \tabularnewline
0.16 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 \tabularnewline
0.17 & 9.54 & 9.71 & 10 & 10 & 10 & 10 & 9.29 & 10 \tabularnewline
0.18 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 \tabularnewline
0.19 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 \tabularnewline
0.2 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 \tabularnewline
0.21 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 \tabularnewline
0.22 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 \tabularnewline
0.23 & 10.26 & 10.49 & 11 & 11 & 11 & 10 & 10.51 & 10 \tabularnewline
0.24 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.25 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.26 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.27 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.28 & 11.36 & 11.64 & 12 & 12 & 12 & 11 & 11.36 & 12 \tabularnewline
0.29 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.3 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.31 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.32 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.33 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.34 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.35 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.36 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.37 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.38 & 12 & 12 & 12 & 12 & 12.18 & 12 & 12 & 12 \tabularnewline
0.39 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.4 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.41 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.42 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.43 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.44 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.45 & 13 & 13.35 & 13 & 13 & 13.45 & 13 & 13.65 & 13 \tabularnewline
0.46 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.47 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.48 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.49 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.5 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.51 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.52 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.53 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.54 & 14.48 & 15 & 15 & 15 & 14.94 & 14 & 15 & 15 \tabularnewline
0.55 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.56 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.57 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.58 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.59 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.6 & 15.2 & 15.8 & 16 & 16 & 15.6 & 15 & 15.2 & 16 \tabularnewline
0.61 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.62 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.63 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.64 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.65 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.66 & 16.92 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.67 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.68 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.69 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.7 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.71 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.72 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.73 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.74 & 17.88 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.75 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.76 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.77 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.78 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.79 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.8 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.81 & 18 & 18 & 18 & 18 & 18 & 18 & 18 & 18 \tabularnewline
0.82 & 18 & 18.66 & 18 & 18 & 18.02 & 18 & 18.34 & 19 \tabularnewline
0.83 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.84 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.85 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.86 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.87 & 19 & 19 & 19 & 19 & 19 & 19 & 19 & 19 \tabularnewline
0.88 & 19.56 & 20 & 20 & 20 & 19.68 & 20 & 20 & 20 \tabularnewline
0.89 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.9 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.91 & 20 & 20 & 20 & 20 & 20 & 20 & 20 & 20 \tabularnewline
0.92 & 20.04 & 20.96 & 21 & 21 & 20.12 & 20 & 20.04 & 21 \tabularnewline
0.93 & 21 & 21.59 & 21 & 21 & 21 & 21 & 21.41 & 22 \tabularnewline
0.94 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.95 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.96 & 22 & 22.48 & 22 & 22 & 22 & 22 & 22.52 & 22 \tabularnewline
0.97 & 23 & 23 & 23 & 23 & 23 & 23 & 23 & 23 \tabularnewline
0.98 & 23 & 23.74 & 23 & 23 & 23 & 23 & 23.26 & 24 \tabularnewline
0.99 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83323&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]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4.61[/C][C]4[/C][C]4[/C][C]4[/C][/ROW]
[ROW][C]0.02[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][/ROW]
[ROW][C]0.03[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][/ROW]
[ROW][C]0.04[/C][C]5.48[/C][C]5.52[/C][C]6[/C][C]6[/C][C]6[/C][C]5[/C][C]5.48[/C][C]6[/C][/ROW]
[ROW][C]0.05[/C][C]6.1[/C][C]6.15[/C][C]7[/C][C]7[/C][C]7[/C][C]6[/C][C]6.85[/C][C]6[/C][/ROW]
[ROW][C]0.06[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][/ROW]
[ROW][C]0.07[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7.27[/C][C]7[/C][C]7[/C][C]7[/C][/ROW]
[ROW][C]0.08[/C][C]7.96[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][/ROW]
[ROW][C]0.09[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][/ROW]
[ROW][C]0.1[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8.1[/C][C]8[/C][C]8[/C][C]8[/C][/ROW]
[ROW][C]0.11[/C][C]8.82[/C][C]8.93[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]8.07[/C][C]9[/C][/ROW]
[ROW][C]0.12[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][/ROW]
[ROW][C]0.13[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][/ROW]
[ROW][C]0.14[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][/ROW]
[ROW][C]0.15[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][/ROW]
[ROW][C]0.16[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][/ROW]
[ROW][C]0.17[/C][C]9.54[/C][C]9.71[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]9.29[/C][C]10[/C][/ROW]
[ROW][C]0.18[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][/ROW]
[ROW][C]0.19[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][/ROW]
[ROW][C]0.2[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][/ROW]
[ROW][C]0.21[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][/ROW]
[ROW][C]0.22[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][/ROW]
[ROW][C]0.23[/C][C]10.26[/C][C]10.49[/C][C]11[/C][C]11[/C][C]11[/C][C]10[/C][C]10.51[/C][C]10[/C][/ROW]
[ROW][C]0.24[/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]0.25[/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]0.26[/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]0.27[/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]0.28[/C][C]11.36[/C][C]11.64[/C][C]12[/C][C]12[/C][C]12[/C][C]11[/C][C]11.36[/C][C]12[/C][/ROW]
[ROW][C]0.29[/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]0.3[/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]0.31[/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]0.32[/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]0.33[/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]0.34[/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]0.35[/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]0.36[/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]0.37[/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]0.38[/C][C]12[/C][C]12[/C][C]12[/C][C]12[/C][C]12.18[/C][C]12[/C][C]12[/C][C]12[/C][/ROW]
[ROW][C]0.39[/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]0.4[/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]0.41[/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]0.42[/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]0.43[/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]0.44[/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]0.45[/C][C]13[/C][C]13.35[/C][C]13[/C][C]13[/C][C]13.45[/C][C]13[/C][C]13.65[/C][C]13[/C][/ROW]
[ROW][C]0.46[/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]0.47[/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]0.48[/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]0.49[/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]0.5[/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]0.51[/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]0.52[/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]0.53[/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]0.54[/C][C]14.48[/C][C]15[/C][C]15[/C][C]15[/C][C]14.94[/C][C]14[/C][C]15[/C][C]15[/C][/ROW]
[ROW][C]0.55[/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]0.56[/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]0.57[/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]0.58[/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]0.59[/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]0.6[/C][C]15.2[/C][C]15.8[/C][C]16[/C][C]16[/C][C]15.6[/C][C]15[/C][C]15.2[/C][C]16[/C][/ROW]
[ROW][C]0.61[/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]0.62[/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]0.63[/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]0.64[/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]0.65[/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]0.66[/C][C]16.92[/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]0.67[/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]0.68[/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]0.69[/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]0.7[/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]0.71[/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]0.72[/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]0.73[/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]0.74[/C][C]17.88[/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]0.75[/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]0.76[/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]0.77[/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]0.78[/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]0.79[/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]0.8[/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]0.81[/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]0.82[/C][C]18[/C][C]18.66[/C][C]18[/C][C]18[/C][C]18.02[/C][C]18[/C][C]18.34[/C][C]19[/C][/ROW]
[ROW][C]0.83[/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]0.84[/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]0.85[/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]0.86[/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]0.87[/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]0.88[/C][C]19.56[/C][C]20[/C][C]20[/C][C]20[/C][C]19.68[/C][C]20[/C][C]20[/C][C]20[/C][/ROW]
[ROW][C]0.89[/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]0.9[/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]0.91[/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]0.92[/C][C]20.04[/C][C]20.96[/C][C]21[/C][C]21[/C][C]20.12[/C][C]20[/C][C]20.04[/C][C]21[/C][/ROW]
[ROW][C]0.93[/C][C]21[/C][C]21.59[/C][C]21[/C][C]21[/C][C]21[/C][C]21[/C][C]21.41[/C][C]22[/C][/ROW]
[ROW][C]0.94[/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]0.95[/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]0.96[/C][C]22[/C][C]22.48[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22.52[/C][C]22[/C][/ROW]
[ROW][C]0.97[/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]0.98[/C][C]23[/C][C]23.74[/C][C]23[/C][C]23[/C][C]23[/C][C]23[/C][C]23.26[/C][C]24[/C][/ROW]
[ROW][C]0.99[/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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83323&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83323&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	4	4	4	4	4.61	4	4	4
0.02	5	5	5	5	5	5	5	5
0.03	5	5	5	5	5	5	5	5
0.04	5.48	5.52	6	6	6	5	5.48	6
0.05	6.1	6.15	7	7	7	6	6.85	6
0.06	7	7	7	7	7	7	7	7
0.07	7	7	7	7	7.27	7	7	7
0.08	7.96	8	8	8	8	8	8	8
0.09	8	8	8	8	8	8	8	8
0.1	8	8	8	8	8.1	8	8	8
0.11	8.82	8.93	9	9	9	9	8.07	9
0.12	9	9	9	9	9	9	9	9
0.13	9	9	9	9	9	9	9	9
0.14	9	9	9	9	9	9	9	9
0.15	9	9	9	9	9	9	9	9
0.16	9	9	9	9	9	9	9	9
0.17	9.54	9.71	10	10	10	10	9.29	10
0.18	10	10	10	10	10	10	10	10
0.19	10	10	10	10	10	10	10	10
0.2	10	10	10	10	10	10	10	10
0.21	10	10	10	10	10	10	10	10
0.22	10	10	10	10	10	10	10	10
0.23	10.26	10.49	11	11	11	10	10.51	10
0.24	11	11	11	11	11	11	11	11
0.25	11	11	11	11	11	11	11	11
0.26	11	11	11	11	11	11	11	11
0.27	11	11	11	11	11	11	11	11
0.28	11.36	11.64	12	12	12	11	11.36	12
0.29	12	12	12	12	12	12	12	12
0.3	12	12	12	12	12	12	12	12
0.31	12	12	12	12	12	12	12	12
0.32	12	12	12	12	12	12	12	12
0.33	12	12	12	12	12	12	12	12
0.34	12	12	12	12	12	12	12	12
0.35	12	12	12	12	12	12	12	12
0.36	12	12	12	12	12	12	12	12
0.37	12	12	12	12	12	12	12	12
0.38	12	12	12	12	12.18	12	12	12
0.39	13	13	13	13	13	13	13	13
0.4	13	13	13	13	13	13	13	13
0.41	13	13	13	13	13	13	13	13
0.42	13	13	13	13	13	13	13	13
0.43	13	13	13	13	13	13	13	13
0.44	13	13	13	13	13	13	13	13
0.45	13	13.35	13	13	13.45	13	13.65	13
0.46	14	14	14	14	14	14	14	14
0.47	14	14	14	14	14	14	14	14
0.48	14	14	14	14	14	14	14	14
0.49	14	14	14	14	14	14	14	14
0.5	14	14	14	14	14	14	14	14
0.51	14	14	14	14	14	14	14	14
0.52	14	14	14	14	14	14	14	14
0.53	14	14	14	14	14	14	14	14
0.54	14.48	15	15	15	14.94	14	15	15
0.55	15	15	15	15	15	15	15	15
0.56	15	15	15	15	15	15	15	15
0.57	15	15	15	15	15	15	15	15
0.58	15	15	15	15	15	15	15	15
0.59	15	15	15	15	15	15	15	15
0.6	15.2	15.8	16	16	15.6	15	15.2	16
0.61	16	16	16	16	16	16	16	16
0.62	16	16	16	16	16	16	16	16
0.63	16	16	16	16	16	16	16	16
0.64	16	16	16	16	16	16	16	16
0.65	16	16	16	16	16	16	16	16
0.66	16.92	17	17	17	17	17	17	17
0.67	17	17	17	17	17	17	17	17
0.68	17	17	17	17	17	17	17	17
0.69	17	17	17	17	17	17	17	17
0.7	17	17	17	17	17	17	17	17
0.71	17	17	17	17	17	17	17	17
0.72	17	17	17	17	17	17	17	17
0.73	17	17	17	17	17	17	17	17
0.74	17.88	18	18	18	18	18	18	18
0.75	18	18	18	18	18	18	18	18
0.76	18	18	18	18	18	18	18	18
0.77	18	18	18	18	18	18	18	18
0.78	18	18	18	18	18	18	18	18
0.79	18	18	18	18	18	18	18	18
0.8	18	18	18	18	18	18	18	18
0.81	18	18	18	18	18	18	18	18
0.82	18	18.66	18	18	18.02	18	18.34	19
0.83	19	19	19	19	19	19	19	19
0.84	19	19	19	19	19	19	19	19
0.85	19	19	19	19	19	19	19	19
0.86	19	19	19	19	19	19	19	19
0.87	19	19	19	19	19	19	19	19
0.88	19.56	20	20	20	19.68	20	20	20
0.89	20	20	20	20	20	20	20	20
0.9	20	20	20	20	20	20	20	20
0.91	20	20	20	20	20	20	20	20
0.92	20.04	20.96	21	21	20.12	20	20.04	21
0.93	21	21.59	21	21	21	21	21.41	22
0.94	22	22	22	22	22	22	22	22
0.95	22	22	22	22	22	22	22	22
0.96	22	22.48	22	22	22	22	22.52	22
0.97	23	23	23	23	23	23	23	23
0.98	23	23.74	23	23	23	23	23.26	24
0.99	24	24	24	24	24	24	24	24

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