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rwasp_percentiles.wasp

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Percentiles

Date of computation

Mon, 15 Nov 2010 21:57:44 +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/Nov/15/t1289858162n813nvt7j65bu9e.htm/, Retrieved Sun, 24 May 2026 22:53:00 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=95116, Retrieved Sun, 24 May 2026 22:53:00 +0000

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Estimated Impact

471

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] [QQ plot popularity] [2010-11-15 21:45:41] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-    D    [Percentiles] [QQ plot finding f...] [2010-11-15 21:46:51] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-    D      [Percentiles] [QQ plot knowing p...] [2010-11-15 21:56:16] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-    D          [Percentiles] [QQ plot liked] [2010-11-15 21:57:44] [9ea95e194e0eb2a674315798620d5bc6] [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	'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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=95116&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' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=95116&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=95116&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' @ 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	4.56	4.57	5	5	5.55	5	4.43	5
0.02	6.24	6.28	8	8	8	6	7.72	6
0.03	8	8	8	8	8.65	8	8	8
0.04	9	9	9	9	9	9	9	9
0.05	9	9	9	9	9.75	9	9	9
0.06	10	10	10	10	10	10	10	10
0.07	10	10	10	10	10	10	10	10
0.08	10.48	10.56	11	11	11	10	10.44	11
0.09	11	11	11	11	11	11	11	11
0.1	11	11	11	11	11	11	11	11
0.11	11	11	11	11	11	11	11	11
0.12	11	11	11	11	11	11	11	11
0.13	11	11	11	11	11	11	11	11
0.14	11	11	11	11	11	11	11	11
0.15	11.4	11.55	12	12	12	11	11.45	12
0.16	12	12	12	12	12	12	12	12
0.17	12	12	12	12	12	12	12	12
0.18	12	12	12	12	12	12	12	12
0.19	12	12	12	12	12	12	12	12
0.2	12	12	12	12	12	12	12	12
0.21	12	12	12	12	12	12	12	12
0.22	12	12	12	12	12	12	12	12
0.23	12	12	12	12	12	12	12	12
0.24	12	12	12	12	12	12	12	12
0.25	12	12	12	12	12	12	12	12
0.26	12	12	12	12	12	12	12	12
0.27	12	12	12	12	12	12	12	12
0.28	12	12	12	12	12	12	12	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	12.48	12.81	13	13	13	12	12.19	13
0.34	13	13	13	13	13	13	13	13
0.35	13	13	13	13	13	13	13	13
0.36	13	13	13	13	13	13	13	13
0.37	13	13	13	13	13	13	13	13
0.38	13	13	13	13	13	13	13	13
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	13	13	13	13	13	13
0.46	13	13	13	13	13	13	13	13
0.47	13	13	13	13	13	13	13	13
0.48	13	13	13	13	13	13	13	13
0.49	13	13	13	13	13	13	13	13
0.5	13	13	13	13	13	13	13	13
0.51	13	13	13	13	13	13	13	13
0.52	13	13	13	13	13	13	13	13
0.53	13	13	13	13	13	13	13	13
0.54	13	13	13	13	13	13	13	13
0.55	13	13	13	13	13	13	13	13
0.56	13.36	13.92	14	14	13.8	13	13.08	14
0.57	14	14	14	14	14	14	14	14
0.58	14	14	14	14	14	14	14	14
0.59	14	14	14	14	14	14	14	14
0.6	14	14	14	14	14	14	14	14
0.61	14	14	14	14	14	14	14	14
0.62	14	14	14	14	14	14	14	14
0.63	14	14	14	14	14	14	14	14
0.64	14	14	14	14	14	14	14	14
0.65	14	14	14	14	14	14	14	14
0.66	14	14	14	14	14	14	14	14
0.67	14	14	14	14	14	14	14	14
0.68	14	14	14	14	14	14	14	14
0.69	14	14	14	14	14	14	14	14
0.7	14	14	14	14	14	14	14	14
0.71	14	14	14	14	14	14	14	14
0.72	14	14	14	14	14	14	14	14
0.73	14	14.61	14	14	14.15	14	14.39	15
0.74	15	15	15	15	15	15	15	15
0.75	15	15	15	15	15	15	15	15
0.76	15	15	15	15	15	15	15	15
0.77	15	15	15	15	15	15	15	15
0.78	15	15	15	15	15	15	15	15
0.79	15	15	15	15	15	15	15	15
0.8	15	15	15	15	15	15	15	15
0.81	15	15	15	15	15	15	15	15
0.82	15	15	15	15	15	15	15	15
0.83	15	15	15	15	15	15	15	15
0.84	15	15	15	15	15	15	15	15
0.85	15	15	15	15	15	15	15	15
0.86	15	15.02	15	15	15	15	15.98	15
0.87	15.72	16	16	16	15.85	16	16	16
0.88	16	16	16	16	16	16	16	16
0.89	16	16	16	16	16	16	16	16
0.9	16	16	16	16	16	16	16	16
0.91	16	16	16	16	16	16	16	16
0.92	16	16	16	16	16	16	16	16
0.93	16	16	16	16	16	16	16	16
0.94	16	16	16	16	16	16	16	16
0.95	16	16	16	16	16	16	16	16
0.96	16	16	16	16	16	16	16	16
0.97	16	16	16	16	16	16	16	16
0.98	16	16.86	16	16	16	16	16.14	17
0.99	17.44	18	18	18	17.45	17	18	18

\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 & 4.56 & 4.57 & 5 & 5 & 5.55 & 5 & 4.43 & 5 \tabularnewline
0.02 & 6.24 & 6.28 & 8 & 8 & 8 & 6 & 7.72 & 6 \tabularnewline
0.03 & 8 & 8 & 8 & 8 & 8.65 & 8 & 8 & 8 \tabularnewline
0.04 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 \tabularnewline
0.05 & 9 & 9 & 9 & 9 & 9.75 & 9 & 9 & 9 \tabularnewline
0.06 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 \tabularnewline
0.07 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 \tabularnewline
0.08 & 10.48 & 10.56 & 11 & 11 & 11 & 10 & 10.44 & 11 \tabularnewline
0.09 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.1 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.12 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.13 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.14 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.15 & 11.4 & 11.55 & 12 & 12 & 12 & 11 & 11.45 & 12 \tabularnewline
0.16 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.17 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.18 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.19 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.2 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.21 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.22 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.23 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.24 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.25 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.26 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.27 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \tabularnewline
0.28 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 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 & 12.48 & 12.81 & 13 & 13 & 13 & 12 & 12.19 & 13 \tabularnewline
0.34 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.35 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.36 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.37 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.38 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \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 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.46 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.47 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.48 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.49 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.5 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.51 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.52 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.53 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.54 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.55 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 \tabularnewline
0.56 & 13.36 & 13.92 & 14 & 14 & 13.8 & 13 & 13.08 & 14 \tabularnewline
0.57 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.58 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.59 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.6 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.61 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.62 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.63 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.64 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.65 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.66 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.67 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.68 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.69 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.7 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.71 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.72 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 \tabularnewline
0.73 & 14 & 14.61 & 14 & 14 & 14.15 & 14 & 14.39 & 15 \tabularnewline
0.74 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.75 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.76 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.77 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.78 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.79 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.8 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.81 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.82 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.83 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.84 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.85 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.86 & 15 & 15.02 & 15 & 15 & 15 & 15 & 15.98 & 15 \tabularnewline
0.87 & 15.72 & 16 & 16 & 16 & 15.85 & 16 & 16 & 16 \tabularnewline
0.88 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.89 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.9 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.91 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.92 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.93 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.94 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.95 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.96 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.97 & 16 & 16 & 16 & 16 & 16 & 16 & 16 & 16 \tabularnewline
0.98 & 16 & 16.86 & 16 & 16 & 16 & 16 & 16.14 & 17 \tabularnewline
0.99 & 17.44 & 18 & 18 & 18 & 17.45 & 17 & 18 & 18 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=95116&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]4.56[/C][C]4.57[/C][C]5[/C][C]5[/C][C]5.55[/C][C]5[/C][C]4.43[/C][C]5[/C][/ROW]
[ROW][C]0.02[/C][C]6.24[/C][C]6.28[/C][C]8[/C][C]8[/C][C]8[/C][C]6[/C][C]7.72[/C][C]6[/C][/ROW]
[ROW][C]0.03[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8.65[/C][C]8[/C][C]8[/C][C]8[/C][/ROW]
[ROW][C]0.04[/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]0.05[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9.75[/C][C]9[/C][C]9[/C][C]9[/C][/ROW]
[ROW][C]0.06[/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]0.07[/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]0.08[/C][C]10.48[/C][C]10.56[/C][C]11[/C][C]11[/C][C]11[/C][C]10[/C][C]10.44[/C][C]11[/C][/ROW]
[ROW][C]0.09[/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]0.1[/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]0.11[/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]0.12[/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]0.13[/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]0.14[/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]0.15[/C][C]11.4[/C][C]11.55[/C][C]12[/C][C]12[/C][C]12[/C][C]11[/C][C]11.45[/C][C]12[/C][/ROW]
[ROW][C]0.16[/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]0.17[/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]0.18[/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]0.19[/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]0.2[/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]0.21[/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]0.22[/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]0.23[/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]0.24[/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]0.25[/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]0.26[/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]0.27[/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]0.28[/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]0.29[/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]12.48[/C][C]12.81[/C][C]13[/C][C]13[/C][C]13[/C][C]12[/C][C]12.19[/C][C]13[/C][/ROW]
[ROW][C]0.34[/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]0.35[/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]0.36[/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]0.37[/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]0.38[/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]0.39[/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[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][C]13[/C][/ROW]
[ROW][C]0.46[/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]0.47[/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]0.48[/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]0.49[/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]0.5[/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]0.51[/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]0.52[/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]0.53[/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]0.54[/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]0.55[/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]0.56[/C][C]13.36[/C][C]13.92[/C][C]14[/C][C]14[/C][C]13.8[/C][C]13[/C][C]13.08[/C][C]14[/C][/ROW]
[ROW][C]0.57[/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]0.58[/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]0.59[/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]0.6[/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]0.61[/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]0.62[/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]0.63[/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]0.64[/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]0.65[/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]0.66[/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]0.67[/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]0.68[/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]0.69[/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]0.7[/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]0.71[/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]0.72[/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]0.73[/C][C]14[/C][C]14.61[/C][C]14[/C][C]14[/C][C]14.15[/C][C]14[/C][C]14.39[/C][C]15[/C][/ROW]
[ROW][C]0.74[/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]0.75[/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]0.76[/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]0.77[/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]0.78[/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]0.79[/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]0.8[/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]0.81[/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]0.82[/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]0.83[/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]0.84[/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]0.85[/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]0.86[/C][C]15[/C][C]15.02[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15.98[/C][C]15[/C][/ROW]
[ROW][C]0.87[/C][C]15.72[/C][C]16[/C][C]16[/C][C]16[/C][C]15.85[/C][C]16[/C][C]16[/C][C]16[/C][/ROW]
[ROW][C]0.88[/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]0.89[/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]0.9[/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]0.91[/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]0.92[/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]0.93[/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]0.94[/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]0.95[/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]0.96[/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]0.97[/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]0.98[/C][C]16[/C][C]16.86[/C][C]16[/C][C]16[/C][C]16[/C][C]16[/C][C]16.14[/C][C]17[/C][/ROW]
[ROW][C]0.99[/C][C]17.44[/C][C]18[/C][C]18[/C][C]18[/C][C]17.45[/C][C]17[/C][C]18[/C][C]18[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=95116&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=95116&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	4.56	4.57	5	5	5.55	5	4.43	5
0.02	6.24	6.28	8	8	8	6	7.72	6
0.03	8	8	8	8	8.65	8	8	8
0.04	9	9	9	9	9	9	9	9
0.05	9	9	9	9	9.75	9	9	9
0.06	10	10	10	10	10	10	10	10
0.07	10	10	10	10	10	10	10	10
0.08	10.48	10.56	11	11	11	10	10.44	11
0.09	11	11	11	11	11	11	11	11
0.1	11	11	11	11	11	11	11	11
0.11	11	11	11	11	11	11	11	11
0.12	11	11	11	11	11	11	11	11
0.13	11	11	11	11	11	11	11	11
0.14	11	11	11	11	11	11	11	11
0.15	11.4	11.55	12	12	12	11	11.45	12
0.16	12	12	12	12	12	12	12	12
0.17	12	12	12	12	12	12	12	12
0.18	12	12	12	12	12	12	12	12
0.19	12	12	12	12	12	12	12	12
0.2	12	12	12	12	12	12	12	12
0.21	12	12	12	12	12	12	12	12
0.22	12	12	12	12	12	12	12	12
0.23	12	12	12	12	12	12	12	12
0.24	12	12	12	12	12	12	12	12
0.25	12	12	12	12	12	12	12	12
0.26	12	12	12	12	12	12	12	12
0.27	12	12	12	12	12	12	12	12
0.28	12	12	12	12	12	12	12	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	12.48	12.81	13	13	13	12	12.19	13
0.34	13	13	13	13	13	13	13	13
0.35	13	13	13	13	13	13	13	13
0.36	13	13	13	13	13	13	13	13
0.37	13	13	13	13	13	13	13	13
0.38	13	13	13	13	13	13	13	13
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	13	13	13	13	13	13
0.46	13	13	13	13	13	13	13	13
0.47	13	13	13	13	13	13	13	13
0.48	13	13	13	13	13	13	13	13
0.49	13	13	13	13	13	13	13	13
0.5	13	13	13	13	13	13	13	13
0.51	13	13	13	13	13	13	13	13
0.52	13	13	13	13	13	13	13	13
0.53	13	13	13	13	13	13	13	13
0.54	13	13	13	13	13	13	13	13
0.55	13	13	13	13	13	13	13	13
0.56	13.36	13.92	14	14	13.8	13	13.08	14
0.57	14	14	14	14	14	14	14	14
0.58	14	14	14	14	14	14	14	14
0.59	14	14	14	14	14	14	14	14
0.6	14	14	14	14	14	14	14	14
0.61	14	14	14	14	14	14	14	14
0.62	14	14	14	14	14	14	14	14
0.63	14	14	14	14	14	14	14	14
0.64	14	14	14	14	14	14	14	14
0.65	14	14	14	14	14	14	14	14
0.66	14	14	14	14	14	14	14	14
0.67	14	14	14	14	14	14	14	14
0.68	14	14	14	14	14	14	14	14
0.69	14	14	14	14	14	14	14	14
0.7	14	14	14	14	14	14	14	14
0.71	14	14	14	14	14	14	14	14
0.72	14	14	14	14	14	14	14	14
0.73	14	14.61	14	14	14.15	14	14.39	15
0.74	15	15	15	15	15	15	15	15
0.75	15	15	15	15	15	15	15	15
0.76	15	15	15	15	15	15	15	15
0.77	15	15	15	15	15	15	15	15
0.78	15	15	15	15	15	15	15	15
0.79	15	15	15	15	15	15	15	15
0.8	15	15	15	15	15	15	15	15
0.81	15	15	15	15	15	15	15	15
0.82	15	15	15	15	15	15	15	15
0.83	15	15	15	15	15	15	15	15
0.84	15	15	15	15	15	15	15	15
0.85	15	15	15	15	15	15	15	15
0.86	15	15.02	15	15	15	15	15.98	15
0.87	15.72	16	16	16	15.85	16	16	16
0.88	16	16	16	16	16	16	16	16
0.89	16	16	16	16	16	16	16	16
0.9	16	16	16	16	16	16	16	16
0.91	16	16	16	16	16	16	16	16
0.92	16	16	16	16	16	16	16	16
0.93	16	16	16	16	16	16	16	16
0.94	16	16	16	16	16	16	16	16
0.95	16	16	16	16	16	16	16	16
0.96	16	16	16	16	16	16	16	16
0.97	16	16	16	16	16	16	16	16
0.98	16	16.86	16	16	16	16	16.14	17
0.99	17.44	18	18	18	17.45	17	18	18

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