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R Software Module

rwasp_percentiles.wasp

Title produced by software

Percentiles

Date of computation

Sat, 18 Dec 2010 12:02:38 +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/Dec/18/t1292673653alid8u1jclyayan.htm/, Retrieved Tue, 30 Apr 2024 03:30:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=111864, Retrieved Tue, 30 Apr 2024 03:30:14 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

157

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
-  MPD  [Univariate Data Series] [WS8 1] [2010-11-30 15:47:30] [07a238a5afc23eb944f8545182f29d5a]
- RMP     [Classical Decomposition] [WS8 2] [2010-11-30 15:54:02] [07a238a5afc23eb944f8545182f29d5a]
- RMPD      [Univariate Data Series] [Statistiek: Werkl...] [2010-12-12 15:20:09] [07a238a5afc23eb944f8545182f29d5a]
-    D        [Univariate Data Series] [Statistiek: Werkl...] [2010-12-14 09:08:05] [07a238a5afc23eb944f8545182f29d5a]
-               [Univariate Data Series] [Statistiek: Werkl...] [2010-12-14 09:12:36] [07a238a5afc23eb944f8545182f29d5a]
- RMPD            [Univariate Explorative Data Analysis] [Statistiek: U EDA...] [2010-12-17 19:07:44] [07a238a5afc23eb944f8545182f29d5a]
- RMP               [Central Tendency] [Statistiek: centr...] [2010-12-18 09:18:46] [07a238a5afc23eb944f8545182f29d5a]
- RM                    [Percentiles] [statistiek: betro...] [2010-12-18 12:02:38] [67e3c2d70de1dbb070b545ca6c893d5e] [Current]

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Dataseries X:

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Histogram

Boxplots

6.5
6.3
5.9
5.5
5.2
4.9
5.4
5.8
5.7
5.6
5.5
5.4
5.4
5.4
5.5
5.8
5.7
5.4
5.6
5.8
6.2
6.8
6.7
6.7
6.4
6.3
6.3
6.4
6.3
6
6.3
6.3
6.6
7.5
7.8
7.9
7.8
7.6
7.5
7.6
7.5
7.3
7.6
7.5
7.6
7.9
7.9
8.1
8.2
8
7.5
6.8
6.5
6.6
7.6
8
8.1
7.7
7.5
7.6
7.8
7.8
7.8
7.5
7.5
7.1
7.5
7.5
7.6
7.7
7.7
7.9
8.1
8.2
8.2
8.2
7.9
7.3
6.9
6.6
6.7
6.9
7
7.1
7.2
7.1
6.9
7
6.8
6.4
6.7
6.6
6.4
6.3
6.2
6.5
6.8
6.8
6.4
6.1
5.8
6.1
7.2
7.3
6.9
6.1
5.8
6.2
7.1
7.7
8
7.8
7.4
7.4
7.7
7.8
7.8
8
8.1
8.4

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	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111864&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111864&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111864&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	'George Udny Yule' @ 72.249.76.132

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	4.96	4.963	5.2	5.2	5.238	4.9	5.137	4.9
0.02	5.28	5.284	5.4	5.4	5.4	5.2	5.316	5.2
0.03	5.4	5.4	5.4	5.4	5.4	5.4	5.4	5.4
0.04	5.4	5.4	5.4	5.4	5.4	5.4	5.4	5.4
0.05	5.4	5.4	5.4	5.4	5.4	5.4	5.4	5.4
0.06	5.42	5.426	5.5	5.5	5.5	5.4	5.474	5.4
0.07	5.5	5.5	5.5	5.5	5.5	5.5	5.5	5.5
0.08	5.5	5.5	5.5	5.5	5.552	5.5	5.5	5.5
0.09	5.58	5.589	5.6	5.6	5.6	5.6	5.511	5.6
0.1	5.6	5.61	5.6	5.65	5.69	5.6	5.69	5.6
0.11	5.7	5.7	5.7	5.7	5.709	5.7	5.7	5.7
0.12	5.74	5.752	5.8	5.8	5.8	5.7	5.748	5.8
0.13	5.8	5.8	5.8	5.8	5.8	5.8	5.8	5.8
0.14	5.8	5.8	5.8	5.8	5.8	5.8	5.8	5.8
0.15	5.8	5.8	5.8	5.8	5.8	5.8	5.8	5.8
0.16	5.82	5.836	5.9	5.9	5.904	5.8	5.864	5.8
0.17	5.94	5.957	6	6	6.023	5.9	5.943	6
0.18	6.06	6.078	6.1	6.1	6.1	6.1	6.022	6.1
0.19	6.1	6.1	6.1	6.1	6.1	6.1	6.1	6.1
0.2	6.1	6.12	6.1	6.15	6.18	6.1	6.18	6.1
0.21	6.2	6.2	6.2	6.2	6.2	6.2	6.2	6.2
0.22	6.2	6.2	6.2	6.2	6.218	6.2	6.2	6.2
0.23	6.26	6.283	6.3	6.3	6.3	6.3	6.217	6.3
0.24	6.3	6.3	6.3	6.3	6.3	6.3	6.3	6.3
0.25	6.3	6.3	6.3	6.3	6.3	6.3	6.3	6.3
0.26	6.3	6.3	6.3	6.3	6.3	6.3	6.3	6.3
0.27	6.3	6.3	6.3	6.3	6.3	6.3	6.3	6.3
0.28	6.3	6.3	6.3	6.3	6.332	6.3	6.3	6.3
0.29	6.38	6.4	6.4	6.4	6.4	6.4	6.4	6.4
0.3	6.4	6.4	6.4	6.4	6.4	6.4	6.4	6.4
0.31	6.4	6.4	6.4	6.4	6.4	6.4	6.4	6.4
0.32	6.4	6.4	6.4	6.4	6.408	6.4	6.4	6.4
0.33	6.46	6.493	6.5	6.5	6.5	6.5	6.407	6.5
0.34	6.5	6.5	6.5	6.5	6.5	6.5	6.5	6.5
0.35	6.5	6.535	6.5	6.55	6.565	6.5	6.565	6.5
0.36	6.6	6.6	6.6	6.6	6.6	6.6	6.6	6.6
0.37	6.6	6.6	6.6	6.6	6.6	6.6	6.6	6.6
0.38	6.6	6.6	6.6	6.6	6.622	6.6	6.6	6.6
0.39	6.68	6.7	6.7	6.7	6.7	6.7	6.7	6.7
0.4	6.7	6.7	6.7	6.7	6.7	6.7	6.7	6.7
0.41	6.7	6.7	6.7	6.7	6.7	6.7	6.7	6.7
0.42	6.74	6.782	6.8	6.8	6.798	6.7	6.718	6.8
0.43	6.8	6.8	6.8	6.8	6.8	6.8	6.8	6.8
0.44	6.8	6.8	6.8	6.8	6.8	6.8	6.8	6.8
0.45	6.8	6.8	6.8	6.8	6.8	6.8	6.8	6.8
0.46	6.82	6.866	6.9	6.9	6.874	6.8	6.834	6.9
0.47	6.9	6.9	6.9	6.9	6.9	6.9	6.9	6.9
0.48	6.9	6.9	6.9	6.9	6.9	6.9	6.9	6.9
0.49	6.9	6.929	6.9	6.9	6.931	6.9	6.971	6.9
0.5	7	7	7	7	7	7	7	7
0.51	7.02	7.071	7.1	7.1	7.069	7	7.029	7.1
0.52	7.1	7.1	7.1	7.1	7.1	7.1	7.1	7.1
0.53	7.1	7.1	7.1	7.1	7.1	7.1	7.1	7.1
0.54	7.1	7.134	7.1	7.1	7.126	7.1	7.166	7.1
0.55	7.2	7.2	7.2	7.2	7.2	7.2	7.2	7.2
0.56	7.22	7.276	7.3	7.3	7.264	7.2	7.224	7.3
0.57	7.3	7.3	7.3	7.3	7.3	7.3	7.3	7.3
0.58	7.3	7.318	7.3	7.3	7.302	7.3	7.382	7.3
0.59	7.38	7.4	7.4	7.4	7.4	7.4	7.4	7.4
0.6	7.4	7.46	7.4	7.45	7.44	7.4	7.44	7.5
0.61	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.62	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.63	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.64	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.65	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.66	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.67	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.68	7.5	7.528	7.5	7.5	7.5	7.5	7.572	7.5
0.69	7.58	7.6	7.6	7.6	7.6	7.6	7.6	7.6
0.7	7.6	7.6	7.6	7.6	7.6	7.6	7.6	7.6
0.71	7.6	7.6	7.6	7.6	7.6	7.6	7.6	7.6
0.72	7.6	7.6	7.6	7.6	7.6	7.6	7.6	7.6
0.73	7.6	7.6	7.6	7.6	7.6	7.6	7.6	7.6
0.74	7.6	7.654	7.6	7.6	7.606	7.6	7.646	7.7
0.75	7.7	7.7	7.7	7.7	7.7	7.7	7.7	7.7
0.76	7.7	7.7	7.7	7.7	7.7	7.7	7.7	7.7
0.77	7.7	7.7	7.7	7.7	7.7	7.7	7.7	7.7
0.78	7.7	7.738	7.7	7.7	7.7	7.7	7.762	7.7
0.79	7.78	7.8	7.8	7.8	7.8	7.8	7.8	7.8
0.8	7.8	7.8	7.8	7.8	7.8	7.8	7.8	7.8
0.81	7.8	7.8	7.8	7.8	7.8	7.8	7.8	7.8
0.82	7.8	7.8	7.8	7.8	7.8	7.8	7.8	7.8
0.83	7.8	7.8	7.8	7.8	7.8	7.8	7.8	7.8
0.84	7.8	7.8	7.8	7.8	7.8	7.8	7.8	7.8
0.85	7.8	7.885	7.8	7.85	7.815	7.8	7.815	7.9
0.86	7.9	7.9	7.9	7.9	7.9	7.9	7.9	7.9
0.87	7.9	7.9	7.9	7.9	7.9	7.9	7.9	7.9
0.88	7.9	7.9	7.9	7.9	7.9	7.9	7.9	7.9
0.89	7.9	7.969	7.9	7.9	7.9	7.9	7.931	8
0.9	8	8	8	8	8	8	8	8
0.91	8	8	8	8	8	8	8	8
0.92	8	8.032	8	8	8	8	8.068	8
0.93	8.06	8.1	8.1	8.1	8.067	8.1	8.1	8.1
0.94	8.1	8.1	8.1	8.1	8.1	8.1	8.1	8.1
0.95	8.1	8.1	8.1	8.1	8.1	8.1	8.1	8.1
0.96	8.12	8.2	8.2	8.2	8.124	8.1	8.2	8.2
0.97	8.2	8.2	8.2	8.2	8.2	8.2	8.2	8.2
0.98	8.2	8.2	8.2	8.2	8.2	8.2	8.2	8.2
0.99	8.2	8.358	8.2	8.2	8.2	8.2	8.242	8.4

\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 & 4.96 & 4.963 & 5.2 & 5.2 & 5.238 & 4.9 & 5.137 & 4.9 \tabularnewline
0.02 & 5.28 & 5.284 & 5.4 & 5.4 & 5.4 & 5.2 & 5.316 & 5.2 \tabularnewline
0.03 & 5.4 & 5.4 & 5.4 & 5.4 & 5.4 & 5.4 & 5.4 & 5.4 \tabularnewline
0.04 & 5.4 & 5.4 & 5.4 & 5.4 & 5.4 & 5.4 & 5.4 & 5.4 \tabularnewline
0.05 & 5.4 & 5.4 & 5.4 & 5.4 & 5.4 & 5.4 & 5.4 & 5.4 \tabularnewline
0.06 & 5.42 & 5.426 & 5.5 & 5.5 & 5.5 & 5.4 & 5.474 & 5.4 \tabularnewline
0.07 & 5.5 & 5.5 & 5.5 & 5.5 & 5.5 & 5.5 & 5.5 & 5.5 \tabularnewline
0.08 & 5.5 & 5.5 & 5.5 & 5.5 & 5.552 & 5.5 & 5.5 & 5.5 \tabularnewline
0.09 & 5.58 & 5.589 & 5.6 & 5.6 & 5.6 & 5.6 & 5.511 & 5.6 \tabularnewline
0.1 & 5.6 & 5.61 & 5.6 & 5.65 & 5.69 & 5.6 & 5.69 & 5.6 \tabularnewline
0.11 & 5.7 & 5.7 & 5.7 & 5.7 & 5.709 & 5.7 & 5.7 & 5.7 \tabularnewline
0.12 & 5.74 & 5.752 & 5.8 & 5.8 & 5.8 & 5.7 & 5.748 & 5.8 \tabularnewline
0.13 & 5.8 & 5.8 & 5.8 & 5.8 & 5.8 & 5.8 & 5.8 & 5.8 \tabularnewline
0.14 & 5.8 & 5.8 & 5.8 & 5.8 & 5.8 & 5.8 & 5.8 & 5.8 \tabularnewline
0.15 & 5.8 & 5.8 & 5.8 & 5.8 & 5.8 & 5.8 & 5.8 & 5.8 \tabularnewline
0.16 & 5.82 & 5.836 & 5.9 & 5.9 & 5.904 & 5.8 & 5.864 & 5.8 \tabularnewline
0.17 & 5.94 & 5.957 & 6 & 6 & 6.023 & 5.9 & 5.943 & 6 \tabularnewline
0.18 & 6.06 & 6.078 & 6.1 & 6.1 & 6.1 & 6.1 & 6.022 & 6.1 \tabularnewline
0.19 & 6.1 & 6.1 & 6.1 & 6.1 & 6.1 & 6.1 & 6.1 & 6.1 \tabularnewline
0.2 & 6.1 & 6.12 & 6.1 & 6.15 & 6.18 & 6.1 & 6.18 & 6.1 \tabularnewline
0.21 & 6.2 & 6.2 & 6.2 & 6.2 & 6.2 & 6.2 & 6.2 & 6.2 \tabularnewline
0.22 & 6.2 & 6.2 & 6.2 & 6.2 & 6.218 & 6.2 & 6.2 & 6.2 \tabularnewline
0.23 & 6.26 & 6.283 & 6.3 & 6.3 & 6.3 & 6.3 & 6.217 & 6.3 \tabularnewline
0.24 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 \tabularnewline
0.25 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 \tabularnewline
0.26 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 \tabularnewline
0.27 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 & 6.3 \tabularnewline
0.28 & 6.3 & 6.3 & 6.3 & 6.3 & 6.332 & 6.3 & 6.3 & 6.3 \tabularnewline
0.29 & 6.38 & 6.4 & 6.4 & 6.4 & 6.4 & 6.4 & 6.4 & 6.4 \tabularnewline
0.3 & 6.4 & 6.4 & 6.4 & 6.4 & 6.4 & 6.4 & 6.4 & 6.4 \tabularnewline
0.31 & 6.4 & 6.4 & 6.4 & 6.4 & 6.4 & 6.4 & 6.4 & 6.4 \tabularnewline
0.32 & 6.4 & 6.4 & 6.4 & 6.4 & 6.408 & 6.4 & 6.4 & 6.4 \tabularnewline
0.33 & 6.46 & 6.493 & 6.5 & 6.5 & 6.5 & 6.5 & 6.407 & 6.5 \tabularnewline
0.34 & 6.5 & 6.5 & 6.5 & 6.5 & 6.5 & 6.5 & 6.5 & 6.5 \tabularnewline
0.35 & 6.5 & 6.535 & 6.5 & 6.55 & 6.565 & 6.5 & 6.565 & 6.5 \tabularnewline
0.36 & 6.6 & 6.6 & 6.6 & 6.6 & 6.6 & 6.6 & 6.6 & 6.6 \tabularnewline
0.37 & 6.6 & 6.6 & 6.6 & 6.6 & 6.6 & 6.6 & 6.6 & 6.6 \tabularnewline
0.38 & 6.6 & 6.6 & 6.6 & 6.6 & 6.622 & 6.6 & 6.6 & 6.6 \tabularnewline
0.39 & 6.68 & 6.7 & 6.7 & 6.7 & 6.7 & 6.7 & 6.7 & 6.7 \tabularnewline
0.4 & 6.7 & 6.7 & 6.7 & 6.7 & 6.7 & 6.7 & 6.7 & 6.7 \tabularnewline
0.41 & 6.7 & 6.7 & 6.7 & 6.7 & 6.7 & 6.7 & 6.7 & 6.7 \tabularnewline
0.42 & 6.74 & 6.782 & 6.8 & 6.8 & 6.798 & 6.7 & 6.718 & 6.8 \tabularnewline
0.43 & 6.8 & 6.8 & 6.8 & 6.8 & 6.8 & 6.8 & 6.8 & 6.8 \tabularnewline
0.44 & 6.8 & 6.8 & 6.8 & 6.8 & 6.8 & 6.8 & 6.8 & 6.8 \tabularnewline
0.45 & 6.8 & 6.8 & 6.8 & 6.8 & 6.8 & 6.8 & 6.8 & 6.8 \tabularnewline
0.46 & 6.82 & 6.866 & 6.9 & 6.9 & 6.874 & 6.8 & 6.834 & 6.9 \tabularnewline
0.47 & 6.9 & 6.9 & 6.9 & 6.9 & 6.9 & 6.9 & 6.9 & 6.9 \tabularnewline
0.48 & 6.9 & 6.9 & 6.9 & 6.9 & 6.9 & 6.9 & 6.9 & 6.9 \tabularnewline
0.49 & 6.9 & 6.929 & 6.9 & 6.9 & 6.931 & 6.9 & 6.971 & 6.9 \tabularnewline
0.5 & 7 & 7 & 7 & 7 & 7 & 7 & 7 & 7 \tabularnewline
0.51 & 7.02 & 7.071 & 7.1 & 7.1 & 7.069 & 7 & 7.029 & 7.1 \tabularnewline
0.52 & 7.1 & 7.1 & 7.1 & 7.1 & 7.1 & 7.1 & 7.1 & 7.1 \tabularnewline
0.53 & 7.1 & 7.1 & 7.1 & 7.1 & 7.1 & 7.1 & 7.1 & 7.1 \tabularnewline
0.54 & 7.1 & 7.134 & 7.1 & 7.1 & 7.126 & 7.1 & 7.166 & 7.1 \tabularnewline
0.55 & 7.2 & 7.2 & 7.2 & 7.2 & 7.2 & 7.2 & 7.2 & 7.2 \tabularnewline
0.56 & 7.22 & 7.276 & 7.3 & 7.3 & 7.264 & 7.2 & 7.224 & 7.3 \tabularnewline
0.57 & 7.3 & 7.3 & 7.3 & 7.3 & 7.3 & 7.3 & 7.3 & 7.3 \tabularnewline
0.58 & 7.3 & 7.318 & 7.3 & 7.3 & 7.302 & 7.3 & 7.382 & 7.3 \tabularnewline
0.59 & 7.38 & 7.4 & 7.4 & 7.4 & 7.4 & 7.4 & 7.4 & 7.4 \tabularnewline
0.6 & 7.4 & 7.46 & 7.4 & 7.45 & 7.44 & 7.4 & 7.44 & 7.5 \tabularnewline
0.61 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 \tabularnewline
0.62 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 \tabularnewline
0.63 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 \tabularnewline
0.64 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 \tabularnewline
0.65 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 \tabularnewline
0.66 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 \tabularnewline
0.67 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 & 7.5 \tabularnewline
0.68 & 7.5 & 7.528 & 7.5 & 7.5 & 7.5 & 7.5 & 7.572 & 7.5 \tabularnewline
0.69 & 7.58 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 \tabularnewline
0.7 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 \tabularnewline
0.71 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 \tabularnewline
0.72 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 \tabularnewline
0.73 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 & 7.6 \tabularnewline
0.74 & 7.6 & 7.654 & 7.6 & 7.6 & 7.606 & 7.6 & 7.646 & 7.7 \tabularnewline
0.75 & 7.7 & 7.7 & 7.7 & 7.7 & 7.7 & 7.7 & 7.7 & 7.7 \tabularnewline
0.76 & 7.7 & 7.7 & 7.7 & 7.7 & 7.7 & 7.7 & 7.7 & 7.7 \tabularnewline
0.77 & 7.7 & 7.7 & 7.7 & 7.7 & 7.7 & 7.7 & 7.7 & 7.7 \tabularnewline
0.78 & 7.7 & 7.738 & 7.7 & 7.7 & 7.7 & 7.7 & 7.762 & 7.7 \tabularnewline
0.79 & 7.78 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 \tabularnewline
0.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 \tabularnewline
0.81 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 \tabularnewline
0.82 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 \tabularnewline
0.83 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 \tabularnewline
0.84 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 & 7.8 \tabularnewline
0.85 & 7.8 & 7.885 & 7.8 & 7.85 & 7.815 & 7.8 & 7.815 & 7.9 \tabularnewline
0.86 & 7.9 & 7.9 & 7.9 & 7.9 & 7.9 & 7.9 & 7.9 & 7.9 \tabularnewline
0.87 & 7.9 & 7.9 & 7.9 & 7.9 & 7.9 & 7.9 & 7.9 & 7.9 \tabularnewline
0.88 & 7.9 & 7.9 & 7.9 & 7.9 & 7.9 & 7.9 & 7.9 & 7.9 \tabularnewline
0.89 & 7.9 & 7.969 & 7.9 & 7.9 & 7.9 & 7.9 & 7.931 & 8 \tabularnewline
0.9 & 8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 \tabularnewline
0.91 & 8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 \tabularnewline
0.92 & 8 & 8.032 & 8 & 8 & 8 & 8 & 8.068 & 8 \tabularnewline
0.93 & 8.06 & 8.1 & 8.1 & 8.1 & 8.067 & 8.1 & 8.1 & 8.1 \tabularnewline
0.94 & 8.1 & 8.1 & 8.1 & 8.1 & 8.1 & 8.1 & 8.1 & 8.1 \tabularnewline
0.95 & 8.1 & 8.1 & 8.1 & 8.1 & 8.1 & 8.1 & 8.1 & 8.1 \tabularnewline
0.96 & 8.12 & 8.2 & 8.2 & 8.2 & 8.124 & 8.1 & 8.2 & 8.2 \tabularnewline
0.97 & 8.2 & 8.2 & 8.2 & 8.2 & 8.2 & 8.2 & 8.2 & 8.2 \tabularnewline
0.98 & 8.2 & 8.2 & 8.2 & 8.2 & 8.2 & 8.2 & 8.2 & 8.2 \tabularnewline
0.99 & 8.2 & 8.358 & 8.2 & 8.2 & 8.2 & 8.2 & 8.242 & 8.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111864&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]4.96[/C][C]4.963[/C][C]5.2[/C][C]5.2[/C][C]5.238[/C][C]4.9[/C][C]5.137[/C][C]4.9[/C][/ROW]
[ROW][C]0.02[/C][C]5.28[/C][C]5.284[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.2[/C][C]5.316[/C][C]5.2[/C][/ROW]
[ROW][C]0.03[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][/ROW]
[ROW][C]0.04[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][/ROW]
[ROW][C]0.05[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][C]5.4[/C][/ROW]
[ROW][C]0.06[/C][C]5.42[/C][C]5.426[/C][C]5.5[/C][C]5.5[/C][C]5.5[/C][C]5.4[/C][C]5.474[/C][C]5.4[/C][/ROW]
[ROW][C]0.07[/C][C]5.5[/C][C]5.5[/C][C]5.5[/C][C]5.5[/C][C]5.5[/C][C]5.5[/C][C]5.5[/C][C]5.5[/C][/ROW]
[ROW][C]0.08[/C][C]5.5[/C][C]5.5[/C][C]5.5[/C][C]5.5[/C][C]5.552[/C][C]5.5[/C][C]5.5[/C][C]5.5[/C][/ROW]
[ROW][C]0.09[/C][C]5.58[/C][C]5.589[/C][C]5.6[/C][C]5.6[/C][C]5.6[/C][C]5.6[/C][C]5.511[/C][C]5.6[/C][/ROW]
[ROW][C]0.1[/C][C]5.6[/C][C]5.61[/C][C]5.6[/C][C]5.65[/C][C]5.69[/C][C]5.6[/C][C]5.69[/C][C]5.6[/C][/ROW]
[ROW][C]0.11[/C][C]5.7[/C][C]5.7[/C][C]5.7[/C][C]5.7[/C][C]5.709[/C][C]5.7[/C][C]5.7[/C][C]5.7[/C][/ROW]
[ROW][C]0.12[/C][C]5.74[/C][C]5.752[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.7[/C][C]5.748[/C][C]5.8[/C][/ROW]
[ROW][C]0.13[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][/ROW]
[ROW][C]0.14[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][/ROW]
[ROW][C]0.15[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][C]5.8[/C][/ROW]
[ROW][C]0.16[/C][C]5.82[/C][C]5.836[/C][C]5.9[/C][C]5.9[/C][C]5.904[/C][C]5.8[/C][C]5.864[/C][C]5.8[/C][/ROW]
[ROW][C]0.17[/C][C]5.94[/C][C]5.957[/C][C]6[/C][C]6[/C][C]6.023[/C][C]5.9[/C][C]5.943[/C][C]6[/C][/ROW]
[ROW][C]0.18[/C][C]6.06[/C][C]6.078[/C][C]6.1[/C][C]6.1[/C][C]6.1[/C][C]6.1[/C][C]6.022[/C][C]6.1[/C][/ROW]
[ROW][C]0.19[/C][C]6.1[/C][C]6.1[/C][C]6.1[/C][C]6.1[/C][C]6.1[/C][C]6.1[/C][C]6.1[/C][C]6.1[/C][/ROW]
[ROW][C]0.2[/C][C]6.1[/C][C]6.12[/C][C]6.1[/C][C]6.15[/C][C]6.18[/C][C]6.1[/C][C]6.18[/C][C]6.1[/C][/ROW]
[ROW][C]0.21[/C][C]6.2[/C][C]6.2[/C][C]6.2[/C][C]6.2[/C][C]6.2[/C][C]6.2[/C][C]6.2[/C][C]6.2[/C][/ROW]
[ROW][C]0.22[/C][C]6.2[/C][C]6.2[/C][C]6.2[/C][C]6.2[/C][C]6.218[/C][C]6.2[/C][C]6.2[/C][C]6.2[/C][/ROW]
[ROW][C]0.23[/C][C]6.26[/C][C]6.283[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.217[/C][C]6.3[/C][/ROW]
[ROW][C]0.24[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][/ROW]
[ROW][C]0.25[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][/ROW]
[ROW][C]0.26[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][/ROW]
[ROW][C]0.27[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][/ROW]
[ROW][C]0.28[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][C]6.332[/C][C]6.3[/C][C]6.3[/C][C]6.3[/C][/ROW]
[ROW][C]0.29[/C][C]6.38[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][/ROW]
[ROW][C]0.3[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][/ROW]
[ROW][C]0.31[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][/ROW]
[ROW][C]0.32[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][C]6.408[/C][C]6.4[/C][C]6.4[/C][C]6.4[/C][/ROW]
[ROW][C]0.33[/C][C]6.46[/C][C]6.493[/C][C]6.5[/C][C]6.5[/C][C]6.5[/C][C]6.5[/C][C]6.407[/C][C]6.5[/C][/ROW]
[ROW][C]0.34[/C][C]6.5[/C][C]6.5[/C][C]6.5[/C][C]6.5[/C][C]6.5[/C][C]6.5[/C][C]6.5[/C][C]6.5[/C][/ROW]
[ROW][C]0.35[/C][C]6.5[/C][C]6.535[/C][C]6.5[/C][C]6.55[/C][C]6.565[/C][C]6.5[/C][C]6.565[/C][C]6.5[/C][/ROW]
[ROW][C]0.36[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][/ROW]
[ROW][C]0.37[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][/ROW]
[ROW][C]0.38[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][C]6.622[/C][C]6.6[/C][C]6.6[/C][C]6.6[/C][/ROW]
[ROW][C]0.39[/C][C]6.68[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][/ROW]
[ROW][C]0.4[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][/ROW]
[ROW][C]0.41[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][C]6.7[/C][/ROW]
[ROW][C]0.42[/C][C]6.74[/C][C]6.782[/C][C]6.8[/C][C]6.8[/C][C]6.798[/C][C]6.7[/C][C]6.718[/C][C]6.8[/C][/ROW]
[ROW][C]0.43[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][/ROW]
[ROW][C]0.44[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][/ROW]
[ROW][C]0.45[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][C]6.8[/C][/ROW]
[ROW][C]0.46[/C][C]6.82[/C][C]6.866[/C][C]6.9[/C][C]6.9[/C][C]6.874[/C][C]6.8[/C][C]6.834[/C][C]6.9[/C][/ROW]
[ROW][C]0.47[/C][C]6.9[/C][C]6.9[/C][C]6.9[/C][C]6.9[/C][C]6.9[/C][C]6.9[/C][C]6.9[/C][C]6.9[/C][/ROW]
[ROW][C]0.48[/C][C]6.9[/C][C]6.9[/C][C]6.9[/C][C]6.9[/C][C]6.9[/C][C]6.9[/C][C]6.9[/C][C]6.9[/C][/ROW]
[ROW][C]0.49[/C][C]6.9[/C][C]6.929[/C][C]6.9[/C][C]6.9[/C][C]6.931[/C][C]6.9[/C][C]6.971[/C][C]6.9[/C][/ROW]
[ROW][C]0.5[/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]0.51[/C][C]7.02[/C][C]7.071[/C][C]7.1[/C][C]7.1[/C][C]7.069[/C][C]7[/C][C]7.029[/C][C]7.1[/C][/ROW]
[ROW][C]0.52[/C][C]7.1[/C][C]7.1[/C][C]7.1[/C][C]7.1[/C][C]7.1[/C][C]7.1[/C][C]7.1[/C][C]7.1[/C][/ROW]
[ROW][C]0.53[/C][C]7.1[/C][C]7.1[/C][C]7.1[/C][C]7.1[/C][C]7.1[/C][C]7.1[/C][C]7.1[/C][C]7.1[/C][/ROW]
[ROW][C]0.54[/C][C]7.1[/C][C]7.134[/C][C]7.1[/C][C]7.1[/C][C]7.126[/C][C]7.1[/C][C]7.166[/C][C]7.1[/C][/ROW]
[ROW][C]0.55[/C][C]7.2[/C][C]7.2[/C][C]7.2[/C][C]7.2[/C][C]7.2[/C][C]7.2[/C][C]7.2[/C][C]7.2[/C][/ROW]
[ROW][C]0.56[/C][C]7.22[/C][C]7.276[/C][C]7.3[/C][C]7.3[/C][C]7.264[/C][C]7.2[/C][C]7.224[/C][C]7.3[/C][/ROW]
[ROW][C]0.57[/C][C]7.3[/C][C]7.3[/C][C]7.3[/C][C]7.3[/C][C]7.3[/C][C]7.3[/C][C]7.3[/C][C]7.3[/C][/ROW]
[ROW][C]0.58[/C][C]7.3[/C][C]7.318[/C][C]7.3[/C][C]7.3[/C][C]7.302[/C][C]7.3[/C][C]7.382[/C][C]7.3[/C][/ROW]
[ROW][C]0.59[/C][C]7.38[/C][C]7.4[/C][C]7.4[/C][C]7.4[/C][C]7.4[/C][C]7.4[/C][C]7.4[/C][C]7.4[/C][/ROW]
[ROW][C]0.6[/C][C]7.4[/C][C]7.46[/C][C]7.4[/C][C]7.45[/C][C]7.44[/C][C]7.4[/C][C]7.44[/C][C]7.5[/C][/ROW]
[ROW][C]0.61[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][/ROW]
[ROW][C]0.62[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][/ROW]
[ROW][C]0.63[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][/ROW]
[ROW][C]0.64[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][/ROW]
[ROW][C]0.65[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][/ROW]
[ROW][C]0.66[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][/ROW]
[ROW][C]0.67[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][/ROW]
[ROW][C]0.68[/C][C]7.5[/C][C]7.528[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.5[/C][C]7.572[/C][C]7.5[/C][/ROW]
[ROW][C]0.69[/C][C]7.58[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][/ROW]
[ROW][C]0.7[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][/ROW]
[ROW][C]0.71[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][/ROW]
[ROW][C]0.72[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][/ROW]
[ROW][C]0.73[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][C]7.6[/C][/ROW]
[ROW][C]0.74[/C][C]7.6[/C][C]7.654[/C][C]7.6[/C][C]7.6[/C][C]7.606[/C][C]7.6[/C][C]7.646[/C][C]7.7[/C][/ROW]
[ROW][C]0.75[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][/ROW]
[ROW][C]0.76[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][/ROW]
[ROW][C]0.77[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][/ROW]
[ROW][C]0.78[/C][C]7.7[/C][C]7.738[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.7[/C][C]7.762[/C][C]7.7[/C][/ROW]
[ROW][C]0.79[/C][C]7.78[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][/ROW]
[ROW][C]0.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][/ROW]
[ROW][C]0.81[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][/ROW]
[ROW][C]0.82[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][/ROW]
[ROW][C]0.83[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][/ROW]
[ROW][C]0.84[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][C]7.8[/C][/ROW]
[ROW][C]0.85[/C][C]7.8[/C][C]7.885[/C][C]7.8[/C][C]7.85[/C][C]7.815[/C][C]7.8[/C][C]7.815[/C][C]7.9[/C][/ROW]
[ROW][C]0.86[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][/ROW]
[ROW][C]0.87[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][/ROW]
[ROW][C]0.88[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][/ROW]
[ROW][C]0.89[/C][C]7.9[/C][C]7.969[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.9[/C][C]7.931[/C][C]8[/C][/ROW]
[ROW][C]0.9[/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]0.91[/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]0.92[/C][C]8[/C][C]8.032[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8.068[/C][C]8[/C][/ROW]
[ROW][C]0.93[/C][C]8.06[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][C]8.067[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][/ROW]
[ROW][C]0.94[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][/ROW]
[ROW][C]0.95[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][C]8.1[/C][/ROW]
[ROW][C]0.96[/C][C]8.12[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.124[/C][C]8.1[/C][C]8.2[/C][C]8.2[/C][/ROW]
[ROW][C]0.97[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][/ROW]
[ROW][C]0.98[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][/ROW]
[ROW][C]0.99[/C][C]8.2[/C][C]8.358[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.2[/C][C]8.242[/C][C]8.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111864&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111864&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	4.96	4.963	5.2	5.2	5.238	4.9	5.137	4.9
0.02	5.28	5.284	5.4	5.4	5.4	5.2	5.316	5.2
0.03	5.4	5.4	5.4	5.4	5.4	5.4	5.4	5.4
0.04	5.4	5.4	5.4	5.4	5.4	5.4	5.4	5.4
0.05	5.4	5.4	5.4	5.4	5.4	5.4	5.4	5.4
0.06	5.42	5.426	5.5	5.5	5.5	5.4	5.474	5.4
0.07	5.5	5.5	5.5	5.5	5.5	5.5	5.5	5.5
0.08	5.5	5.5	5.5	5.5	5.552	5.5	5.5	5.5
0.09	5.58	5.589	5.6	5.6	5.6	5.6	5.511	5.6
0.1	5.6	5.61	5.6	5.65	5.69	5.6	5.69	5.6
0.11	5.7	5.7	5.7	5.7	5.709	5.7	5.7	5.7
0.12	5.74	5.752	5.8	5.8	5.8	5.7	5.748	5.8
0.13	5.8	5.8	5.8	5.8	5.8	5.8	5.8	5.8
0.14	5.8	5.8	5.8	5.8	5.8	5.8	5.8	5.8
0.15	5.8	5.8	5.8	5.8	5.8	5.8	5.8	5.8
0.16	5.82	5.836	5.9	5.9	5.904	5.8	5.864	5.8
0.17	5.94	5.957	6	6	6.023	5.9	5.943	6
0.18	6.06	6.078	6.1	6.1	6.1	6.1	6.022	6.1
0.19	6.1	6.1	6.1	6.1	6.1	6.1	6.1	6.1
0.2	6.1	6.12	6.1	6.15	6.18	6.1	6.18	6.1
0.21	6.2	6.2	6.2	6.2	6.2	6.2	6.2	6.2
0.22	6.2	6.2	6.2	6.2	6.218	6.2	6.2	6.2
0.23	6.26	6.283	6.3	6.3	6.3	6.3	6.217	6.3
0.24	6.3	6.3	6.3	6.3	6.3	6.3	6.3	6.3
0.25	6.3	6.3	6.3	6.3	6.3	6.3	6.3	6.3
0.26	6.3	6.3	6.3	6.3	6.3	6.3	6.3	6.3
0.27	6.3	6.3	6.3	6.3	6.3	6.3	6.3	6.3
0.28	6.3	6.3	6.3	6.3	6.332	6.3	6.3	6.3
0.29	6.38	6.4	6.4	6.4	6.4	6.4	6.4	6.4
0.3	6.4	6.4	6.4	6.4	6.4	6.4	6.4	6.4
0.31	6.4	6.4	6.4	6.4	6.4	6.4	6.4	6.4
0.32	6.4	6.4	6.4	6.4	6.408	6.4	6.4	6.4
0.33	6.46	6.493	6.5	6.5	6.5	6.5	6.407	6.5
0.34	6.5	6.5	6.5	6.5	6.5	6.5	6.5	6.5
0.35	6.5	6.535	6.5	6.55	6.565	6.5	6.565	6.5
0.36	6.6	6.6	6.6	6.6	6.6	6.6	6.6	6.6
0.37	6.6	6.6	6.6	6.6	6.6	6.6	6.6	6.6
0.38	6.6	6.6	6.6	6.6	6.622	6.6	6.6	6.6
0.39	6.68	6.7	6.7	6.7	6.7	6.7	6.7	6.7
0.4	6.7	6.7	6.7	6.7	6.7	6.7	6.7	6.7
0.41	6.7	6.7	6.7	6.7	6.7	6.7	6.7	6.7
0.42	6.74	6.782	6.8	6.8	6.798	6.7	6.718	6.8
0.43	6.8	6.8	6.8	6.8	6.8	6.8	6.8	6.8
0.44	6.8	6.8	6.8	6.8	6.8	6.8	6.8	6.8
0.45	6.8	6.8	6.8	6.8	6.8	6.8	6.8	6.8
0.46	6.82	6.866	6.9	6.9	6.874	6.8	6.834	6.9
0.47	6.9	6.9	6.9	6.9	6.9	6.9	6.9	6.9
0.48	6.9	6.9	6.9	6.9	6.9	6.9	6.9	6.9
0.49	6.9	6.929	6.9	6.9	6.931	6.9	6.971	6.9
0.5	7	7	7	7	7	7	7	7
0.51	7.02	7.071	7.1	7.1	7.069	7	7.029	7.1
0.52	7.1	7.1	7.1	7.1	7.1	7.1	7.1	7.1
0.53	7.1	7.1	7.1	7.1	7.1	7.1	7.1	7.1
0.54	7.1	7.134	7.1	7.1	7.126	7.1	7.166	7.1
0.55	7.2	7.2	7.2	7.2	7.2	7.2	7.2	7.2
0.56	7.22	7.276	7.3	7.3	7.264	7.2	7.224	7.3
0.57	7.3	7.3	7.3	7.3	7.3	7.3	7.3	7.3
0.58	7.3	7.318	7.3	7.3	7.302	7.3	7.382	7.3
0.59	7.38	7.4	7.4	7.4	7.4	7.4	7.4	7.4
0.6	7.4	7.46	7.4	7.45	7.44	7.4	7.44	7.5
0.61	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.62	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.63	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.64	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.65	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.66	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.67	7.5	7.5	7.5	7.5	7.5	7.5	7.5	7.5
0.68	7.5	7.528	7.5	7.5	7.5	7.5	7.572	7.5
0.69	7.58	7.6	7.6	7.6	7.6	7.6	7.6	7.6
0.7	7.6	7.6	7.6	7.6	7.6	7.6	7.6	7.6
0.71	7.6	7.6	7.6	7.6	7.6	7.6	7.6	7.6
0.72	7.6	7.6	7.6	7.6	7.6	7.6	7.6	7.6
0.73	7.6	7.6	7.6	7.6	7.6	7.6	7.6	7.6
0.74	7.6	7.654	7.6	7.6	7.606	7.6	7.646	7.7
0.75	7.7	7.7	7.7	7.7	7.7	7.7	7.7	7.7
0.76	7.7	7.7	7.7	7.7	7.7	7.7	7.7	7.7
0.77	7.7	7.7	7.7	7.7	7.7	7.7	7.7	7.7
0.78	7.7	7.738	7.7	7.7	7.7	7.7	7.762	7.7
0.79	7.78	7.8	7.8	7.8	7.8	7.8	7.8	7.8
0.8	7.8	7.8	7.8	7.8	7.8	7.8	7.8	7.8
0.81	7.8	7.8	7.8	7.8	7.8	7.8	7.8	7.8
0.82	7.8	7.8	7.8	7.8	7.8	7.8	7.8	7.8
0.83	7.8	7.8	7.8	7.8	7.8	7.8	7.8	7.8
0.84	7.8	7.8	7.8	7.8	7.8	7.8	7.8	7.8
0.85	7.8	7.885	7.8	7.85	7.815	7.8	7.815	7.9
0.86	7.9	7.9	7.9	7.9	7.9	7.9	7.9	7.9
0.87	7.9	7.9	7.9	7.9	7.9	7.9	7.9	7.9
0.88	7.9	7.9	7.9	7.9	7.9	7.9	7.9	7.9
0.89	7.9	7.969	7.9	7.9	7.9	7.9	7.931	8
0.9	8	8	8	8	8	8	8	8
0.91	8	8	8	8	8	8	8	8
0.92	8	8.032	8	8	8	8	8.068	8
0.93	8.06	8.1	8.1	8.1	8.067	8.1	8.1	8.1
0.94	8.1	8.1	8.1	8.1	8.1	8.1	8.1	8.1
0.95	8.1	8.1	8.1	8.1	8.1	8.1	8.1	8.1
0.96	8.12	8.2	8.2	8.2	8.124	8.1	8.2	8.2
0.97	8.2	8.2	8.2	8.2	8.2	8.2	8.2	8.2
0.98	8.2	8.2	8.2	8.2	8.2	8.2	8.2	8.2
0.99	8.2	8.358	8.2	8.2	8.2	8.2	8.242	8.4

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