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*Unverified author*

R Software Module

rwasp_percentiles.wasp

Title produced by software

Percentiles

Date of computation

Wed, 14 Oct 2009 07:41:36 -0600

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Oct/14/t1255527735tmacdink4ty24pu.htm/, Retrieved Sat, 04 May 2024 20:50:07 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=46422, Retrieved Sat, 04 May 2024 20:50:07 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP1W42

Estimated Impact

135

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

-     [Univariate Data Series] [Prijs sigaretten] [2009-10-14 11:44:50] [0b5dbef2a69e66c3cd955099fa0254b9]
- RM D    [Percentiles] [Percentielen prij...] [2009-10-14 13:41:36] [0cda2352ee2e5e35cb801720440e3e1a] [Current]

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Dataseries X:

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Histogram

Boxplots

3,27
3,27
3,27
3,27
3,27
3,28
3,32
3,34
3,34
3,35
3,35
3,35
3,35
3,35
3,4
3,42
3,42
3,42
3,42
3,42
3,42
3,42
3,42
3,42
3,42
3,42
3,43
3,47
3,51
3,52
3,52
3,52
3,52
3,52
3,52
3,52
3,52
3,52
3,58
3,6
3,61
3,61
3,61
3,63
3,68
3,69
3,69
3,69
3,69
3,69
3,69
3,69
3,69
3,78
3,79
3,79
3,8
3,8
3,8
3,8
3,81
3,95
3,99
4
4,06
4,16
4,19
4,2
4,2
4,2
4,2
4,2
4,23
4,38
4,43
4,44
4,44
4,44
4,44
4,44
4,45
4,45
4,45
4,45
4,45
4,45
4,45
4,45
4,46
4,46
4,46
4,48
4,58
4,67
4,68
4,68
4,69
4,69
4,69
4,69
4,69
4,69
4,69
4,73
4,78
4,79
4,79
4,8
4,8
4,81
5,16
5,26
5,29
5,29
5,29
5,3
5,3
5,3
5,3
5,3
5,3
5,3
5,3
5,35
5,44
5,47
5,47
5,48
5,48
5,48
5,48
5,48
5,48

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=46422&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=46422&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=46422&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Percentiles - Ungrouped Data
p	Weighted Average at Xnp	Weighted Average at X(n+1)p	Empirical Distribution Function	Empirical Distribution Function - Averaging	Empirical Distribution Function - Interpolation	Closest Observation	True Basic - Statistics Graphics Toolkit	MS Excel (old versions)
0.01	3.27	3.27	3.27	3.27	3.27	3.27	3.27	3.27
0.02	3.27	3.27	3.27	3.27	3.27	3.27	3.27	3.27
0.03	3.27	3.27	3.27	3.27	3.27	3.27	3.27	3.27
0.04	3.2732	3.2736	3.28	3.28	3.2912	3.27	3.2764	3.27
0.05	3.306	3.308	3.32	3.32	3.332	3.32	3.292	3.32
0.06	3.3396	3.34	3.34	3.34	3.34	3.34	3.34	3.34
0.07	3.3431	3.3438	3.35	3.35	3.35	3.34	3.3462	3.34
0.08	3.35	3.35	3.35	3.35	3.35	3.35	3.35	3.35
0.09	3.35	3.35	3.35	3.35	3.35	3.35	3.35	3.35
0.1	3.35	3.35	3.35	3.35	3.36	3.35	3.35	3.35
0.11	3.3815	3.387	3.4	3.4	3.4104	3.4	3.363	3.4
0.12	3.4192	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.13	3.42	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.14	3.42	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.15	3.42	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.16	3.42	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.17	3.42	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.18	3.42	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.19	3.42	3.42	3.42	3.42	3.4208	3.42	3.42	3.42
0.2	3.426	3.428	3.43	3.43	3.446	3.43	3.422	3.43
0.21	3.4672	3.4756	3.47	3.47	3.4988	3.47	3.5044	3.47
0.22	3.5126	3.5148	3.52	3.52	3.52	3.51	3.5152	3.51
0.23	3.52	3.52	3.52	3.52	3.52	3.52	3.52	3.52
0.24	3.52	3.52	3.52	3.52	3.52	3.52	3.52	3.52
0.25	3.52	3.52	3.52	3.52	3.52	3.52	3.52	3.52
0.26	3.52	3.52	3.52	3.52	3.52	3.52	3.52	3.52
0.27	3.52	3.52	3.52	3.52	3.52	3.52	3.52	3.52
0.28	3.52	3.52	3.52	3.52	3.52	3.52	3.52	3.52
0.29	3.5542	3.5716	3.58	3.58	3.5856	3.58	3.5284	3.58
0.3	3.598	3.602	3.6	3.6	3.606	3.6	3.608	3.6
0.31	3.61	3.61	3.61	3.61	3.61	3.61	3.61	3.61
0.32	3.61	3.61	3.61	3.61	3.6148	3.61	3.61	3.61
0.33	3.6278	3.641	3.63	3.63	3.658	3.63	3.669	3.63
0.34	3.6822	3.6856	3.69	3.69	3.6888	3.68	3.6844	3.69
0.35	3.69	3.69	3.69	3.69	3.69	3.69	3.69	3.69
0.36	3.69	3.69	3.69	3.69	3.69	3.69	3.69	3.69
0.37	3.69	3.69	3.69	3.69	3.69	3.69	3.69	3.69
0.38	3.69	3.69	3.69	3.69	3.69	3.69	3.69	3.69
0.39	3.69	3.69	3.69	3.69	3.69	3.69	3.69	3.69
0.4	3.708	3.744	3.78	3.78	3.762	3.69	3.726	3.78
0.41	3.7853	3.7894	3.79	3.79	3.79	3.79	3.7806	3.79
0.42	3.79	3.7928	3.79	3.79	3.7944	3.79	3.7972	3.79
0.43	3.8	3.8	3.8	3.8	3.8	3.8	3.8	3.8
0.44	3.8	3.8	3.8	3.8	3.8	3.8	3.8	3.8
0.45	3.8	3.803	3.8	3.8	3.804	3.8	3.807	3.8
0.46	3.8352	3.8996	3.95	3.95	3.9108	3.81	3.8604	3.95
0.47	3.9704	3.9892	3.99	3.99	3.9904	3.99	3.9508	3.99
0.48	3.9984	4.0192	4	4	4.0216	4	4.0408	4
0.49	4.077	4.126	4.16	4.16	4.128	4.06	4.094	4.16
0.5	4.175	4.19	4.19	4.19	4.19	4.19	4.19	4.19
0.51	4.1983	4.2	4.2	4.2	4.2	4.2	4.2	4.2
0.52	4.2	4.2	4.2	4.2	4.2	4.2	4.2	4.2
0.53	4.2	4.2	4.2	4.2	4.2	4.2	4.2	4.2
0.54	4.2	4.2108	4.2	4.2	4.2084	4.2	4.2192	4.2
0.55	4.2525	4.335	4.38	4.38	4.32	4.23	4.275	4.38
0.56	4.404	4.4304	4.43	4.43	4.426	4.38	4.4396	4.43
0.57	4.4381	4.44	4.44	4.44	4.44	4.44	4.44	4.44
0.58	4.44	4.44	4.44	4.44	4.44	4.44	4.44	4.44
0.59	4.44	4.44	4.44	4.44	4.44	4.44	4.44	4.44
0.6	4.44	4.444	4.44	4.44	4.442	4.44	4.446	4.44
0.61	4.45	4.45	4.45	4.45	4.45	4.45	4.45	4.45
0.62	4.45	4.45	4.45	4.45	4.45	4.45	4.45	4.45
0.63	4.45	4.45	4.45	4.45	4.45	4.45	4.45	4.45
0.64	4.45	4.45	4.45	4.45	4.45	4.45	4.45	4.45
0.65	4.45	4.45	4.45	4.45	4.45	4.45	4.45	4.45
0.66	4.45	4.4544	4.45	4.45	4.4512	4.45	4.4556	4.45
0.67	4.46	4.46	4.46	4.46	4.46	4.46	4.46	4.46
0.68	4.46	4.4624	4.46	4.46	4.46	4.46	4.4776	4.46
0.69	4.4754	4.526	4.48	4.48	4.488	4.48	4.534	4.48
0.7	4.589	4.652	4.67	4.67	4.616	4.58	4.598	4.67
0.71	4.6743	4.68	4.68	4.68	4.6772	4.67	4.68	4.68
0.72	4.68	4.6848	4.68	4.68	4.6804	4.68	4.6852	4.68
0.73	4.69	4.69	4.69	4.69	4.69	4.69	4.69	4.69
0.74	4.69	4.69	4.69	4.69	4.69	4.69	4.69	4.69
0.75	4.69	4.69	4.69	4.69	4.69	4.69	4.69	4.69
0.76	4.69	4.69	4.69	4.69	4.69	4.69	4.69	4.69
0.77	4.69	4.6972	4.69	4.69	4.69	4.69	4.7228	4.69
0.78	4.7196	4.756	4.73	4.73	4.7284	4.73	4.754	4.78
0.79	4.7807	4.7886	4.79	4.79	4.7828	4.78	4.7814	4.79
0.8	4.79	4.792	4.79	4.79	4.79	4.79	4.798	4.79
0.81	4.7973	4.8	4.8	4.8	4.7992	4.8	4.8	4.8
0.82	4.8006	4.8088	4.81	4.81	4.8024	4.8	4.8012	4.81
0.83	4.9465	5.182	5.16	5.16	5.006	4.81	5.238	5.16
0.84	5.232	5.2768	5.26	5.26	5.248	5.26	5.2732	5.29
0.85	5.29	5.29	5.29	5.29	5.29	5.29	5.29	5.29
0.86	5.29	5.2924	5.29	5.29	5.29	5.29	5.2976	5.29
0.87	5.2971	5.3	5.3	5.3	5.2984	5.3	5.3	5.3
0.88	5.3	5.3	5.3	5.3	5.3	5.3	5.3	5.3
0.89	5.3	5.3	5.3	5.3	5.3	5.3	5.3	5.3
0.9	5.3	5.3	5.3	5.3	5.3	5.3	5.3	5.3
0.91	5.3	5.3	5.3	5.3	5.3	5.3	5.3	5.3
0.92	5.3	5.314	5.3	5.3	5.3	5.3	5.336	5.3
0.93	5.3345	5.4058	5.35	5.35	5.338	5.35	5.3842	5.44
0.94	5.4406	5.4688	5.47	5.47	5.4424	5.44	5.4412	5.47
0.95	5.47	5.473	5.47	5.47	5.47	5.47	5.477	5.47
0.96	5.4768	5.48	5.48	5.48	5.4772	5.48	5.48	5.48
0.97	5.48	5.48	5.48	5.48	5.48	5.48	5.48	5.48
0.98	5.48	5.48	5.48	5.48	5.48	5.48	5.48	5.48
0.99	5.48	5.48	5.48	5.48	5.48	5.48	5.48	5.48

\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 & 3.27 & 3.27 & 3.27 & 3.27 & 3.27 & 3.27 & 3.27 & 3.27 \tabularnewline
0.02 & 3.27 & 3.27 & 3.27 & 3.27 & 3.27 & 3.27 & 3.27 & 3.27 \tabularnewline
0.03 & 3.27 & 3.27 & 3.27 & 3.27 & 3.27 & 3.27 & 3.27 & 3.27 \tabularnewline
0.04 & 3.2732 & 3.2736 & 3.28 & 3.28 & 3.2912 & 3.27 & 3.2764 & 3.27 \tabularnewline
0.05 & 3.306 & 3.308 & 3.32 & 3.32 & 3.332 & 3.32 & 3.292 & 3.32 \tabularnewline
0.06 & 3.3396 & 3.34 & 3.34 & 3.34 & 3.34 & 3.34 & 3.34 & 3.34 \tabularnewline
0.07 & 3.3431 & 3.3438 & 3.35 & 3.35 & 3.35 & 3.34 & 3.3462 & 3.34 \tabularnewline
0.08 & 3.35 & 3.35 & 3.35 & 3.35 & 3.35 & 3.35 & 3.35 & 3.35 \tabularnewline
0.09 & 3.35 & 3.35 & 3.35 & 3.35 & 3.35 & 3.35 & 3.35 & 3.35 \tabularnewline
0.1 & 3.35 & 3.35 & 3.35 & 3.35 & 3.36 & 3.35 & 3.35 & 3.35 \tabularnewline
0.11 & 3.3815 & 3.387 & 3.4 & 3.4 & 3.4104 & 3.4 & 3.363 & 3.4 \tabularnewline
0.12 & 3.4192 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 \tabularnewline
0.13 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 \tabularnewline
0.14 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 \tabularnewline
0.15 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 \tabularnewline
0.16 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 \tabularnewline
0.17 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 \tabularnewline
0.18 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 & 3.42 \tabularnewline
0.19 & 3.42 & 3.42 & 3.42 & 3.42 & 3.4208 & 3.42 & 3.42 & 3.42 \tabularnewline
0.2 & 3.426 & 3.428 & 3.43 & 3.43 & 3.446 & 3.43 & 3.422 & 3.43 \tabularnewline
0.21 & 3.4672 & 3.4756 & 3.47 & 3.47 & 3.4988 & 3.47 & 3.5044 & 3.47 \tabularnewline
0.22 & 3.5126 & 3.5148 & 3.52 & 3.52 & 3.52 & 3.51 & 3.5152 & 3.51 \tabularnewline
0.23 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 \tabularnewline
0.24 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 \tabularnewline
0.25 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 \tabularnewline
0.26 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 \tabularnewline
0.27 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 \tabularnewline
0.28 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 & 3.52 \tabularnewline
0.29 & 3.5542 & 3.5716 & 3.58 & 3.58 & 3.5856 & 3.58 & 3.5284 & 3.58 \tabularnewline
0.3 & 3.598 & 3.602 & 3.6 & 3.6 & 3.606 & 3.6 & 3.608 & 3.6 \tabularnewline
0.31 & 3.61 & 3.61 & 3.61 & 3.61 & 3.61 & 3.61 & 3.61 & 3.61 \tabularnewline
0.32 & 3.61 & 3.61 & 3.61 & 3.61 & 3.6148 & 3.61 & 3.61 & 3.61 \tabularnewline
0.33 & 3.6278 & 3.641 & 3.63 & 3.63 & 3.658 & 3.63 & 3.669 & 3.63 \tabularnewline
0.34 & 3.6822 & 3.6856 & 3.69 & 3.69 & 3.6888 & 3.68 & 3.6844 & 3.69 \tabularnewline
0.35 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 \tabularnewline
0.36 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 \tabularnewline
0.37 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 \tabularnewline
0.38 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 \tabularnewline
0.39 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 & 3.69 \tabularnewline
0.4 & 3.708 & 3.744 & 3.78 & 3.78 & 3.762 & 3.69 & 3.726 & 3.78 \tabularnewline
0.41 & 3.7853 & 3.7894 & 3.79 & 3.79 & 3.79 & 3.79 & 3.7806 & 3.79 \tabularnewline
0.42 & 3.79 & 3.7928 & 3.79 & 3.79 & 3.7944 & 3.79 & 3.7972 & 3.79 \tabularnewline
0.43 & 3.8 & 3.8 & 3.8 & 3.8 & 3.8 & 3.8 & 3.8 & 3.8 \tabularnewline
0.44 & 3.8 & 3.8 & 3.8 & 3.8 & 3.8 & 3.8 & 3.8 & 3.8 \tabularnewline
0.45 & 3.8 & 3.803 & 3.8 & 3.8 & 3.804 & 3.8 & 3.807 & 3.8 \tabularnewline
0.46 & 3.8352 & 3.8996 & 3.95 & 3.95 & 3.9108 & 3.81 & 3.8604 & 3.95 \tabularnewline
0.47 & 3.9704 & 3.9892 & 3.99 & 3.99 & 3.9904 & 3.99 & 3.9508 & 3.99 \tabularnewline
0.48 & 3.9984 & 4.0192 & 4 & 4 & 4.0216 & 4 & 4.0408 & 4 \tabularnewline
0.49 & 4.077 & 4.126 & 4.16 & 4.16 & 4.128 & 4.06 & 4.094 & 4.16 \tabularnewline
0.5 & 4.175 & 4.19 & 4.19 & 4.19 & 4.19 & 4.19 & 4.19 & 4.19 \tabularnewline
0.51 & 4.1983 & 4.2 & 4.2 & 4.2 & 4.2 & 4.2 & 4.2 & 4.2 \tabularnewline
0.52 & 4.2 & 4.2 & 4.2 & 4.2 & 4.2 & 4.2 & 4.2 & 4.2 \tabularnewline
0.53 & 4.2 & 4.2 & 4.2 & 4.2 & 4.2 & 4.2 & 4.2 & 4.2 \tabularnewline
0.54 & 4.2 & 4.2108 & 4.2 & 4.2 & 4.2084 & 4.2 & 4.2192 & 4.2 \tabularnewline
0.55 & 4.2525 & 4.335 & 4.38 & 4.38 & 4.32 & 4.23 & 4.275 & 4.38 \tabularnewline
0.56 & 4.404 & 4.4304 & 4.43 & 4.43 & 4.426 & 4.38 & 4.4396 & 4.43 \tabularnewline
0.57 & 4.4381 & 4.44 & 4.44 & 4.44 & 4.44 & 4.44 & 4.44 & 4.44 \tabularnewline
0.58 & 4.44 & 4.44 & 4.44 & 4.44 & 4.44 & 4.44 & 4.44 & 4.44 \tabularnewline
0.59 & 4.44 & 4.44 & 4.44 & 4.44 & 4.44 & 4.44 & 4.44 & 4.44 \tabularnewline
0.6 & 4.44 & 4.444 & 4.44 & 4.44 & 4.442 & 4.44 & 4.446 & 4.44 \tabularnewline
0.61 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 \tabularnewline
0.62 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 \tabularnewline
0.63 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 \tabularnewline
0.64 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 \tabularnewline
0.65 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 & 4.45 \tabularnewline
0.66 & 4.45 & 4.4544 & 4.45 & 4.45 & 4.4512 & 4.45 & 4.4556 & 4.45 \tabularnewline
0.67 & 4.46 & 4.46 & 4.46 & 4.46 & 4.46 & 4.46 & 4.46 & 4.46 \tabularnewline
0.68 & 4.46 & 4.4624 & 4.46 & 4.46 & 4.46 & 4.46 & 4.4776 & 4.46 \tabularnewline
0.69 & 4.4754 & 4.526 & 4.48 & 4.48 & 4.488 & 4.48 & 4.534 & 4.48 \tabularnewline
0.7 & 4.589 & 4.652 & 4.67 & 4.67 & 4.616 & 4.58 & 4.598 & 4.67 \tabularnewline
0.71 & 4.6743 & 4.68 & 4.68 & 4.68 & 4.6772 & 4.67 & 4.68 & 4.68 \tabularnewline
0.72 & 4.68 & 4.6848 & 4.68 & 4.68 & 4.6804 & 4.68 & 4.6852 & 4.68 \tabularnewline
0.73 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 \tabularnewline
0.74 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 \tabularnewline
0.75 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 \tabularnewline
0.76 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 & 4.69 \tabularnewline
0.77 & 4.69 & 4.6972 & 4.69 & 4.69 & 4.69 & 4.69 & 4.7228 & 4.69 \tabularnewline
0.78 & 4.7196 & 4.756 & 4.73 & 4.73 & 4.7284 & 4.73 & 4.754 & 4.78 \tabularnewline
0.79 & 4.7807 & 4.7886 & 4.79 & 4.79 & 4.7828 & 4.78 & 4.7814 & 4.79 \tabularnewline
0.8 & 4.79 & 4.792 & 4.79 & 4.79 & 4.79 & 4.79 & 4.798 & 4.79 \tabularnewline
0.81 & 4.7973 & 4.8 & 4.8 & 4.8 & 4.7992 & 4.8 & 4.8 & 4.8 \tabularnewline
0.82 & 4.8006 & 4.8088 & 4.81 & 4.81 & 4.8024 & 4.8 & 4.8012 & 4.81 \tabularnewline
0.83 & 4.9465 & 5.182 & 5.16 & 5.16 & 5.006 & 4.81 & 5.238 & 5.16 \tabularnewline
0.84 & 5.232 & 5.2768 & 5.26 & 5.26 & 5.248 & 5.26 & 5.2732 & 5.29 \tabularnewline
0.85 & 5.29 & 5.29 & 5.29 & 5.29 & 5.29 & 5.29 & 5.29 & 5.29 \tabularnewline
0.86 & 5.29 & 5.2924 & 5.29 & 5.29 & 5.29 & 5.29 & 5.2976 & 5.29 \tabularnewline
0.87 & 5.2971 & 5.3 & 5.3 & 5.3 & 5.2984 & 5.3 & 5.3 & 5.3 \tabularnewline
0.88 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 \tabularnewline
0.89 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 \tabularnewline
0.9 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 \tabularnewline
0.91 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 & 5.3 \tabularnewline
0.92 & 5.3 & 5.314 & 5.3 & 5.3 & 5.3 & 5.3 & 5.336 & 5.3 \tabularnewline
0.93 & 5.3345 & 5.4058 & 5.35 & 5.35 & 5.338 & 5.35 & 5.3842 & 5.44 \tabularnewline
0.94 & 5.4406 & 5.4688 & 5.47 & 5.47 & 5.4424 & 5.44 & 5.4412 & 5.47 \tabularnewline
0.95 & 5.47 & 5.473 & 5.47 & 5.47 & 5.47 & 5.47 & 5.477 & 5.47 \tabularnewline
0.96 & 5.4768 & 5.48 & 5.48 & 5.48 & 5.4772 & 5.48 & 5.48 & 5.48 \tabularnewline
0.97 & 5.48 & 5.48 & 5.48 & 5.48 & 5.48 & 5.48 & 5.48 & 5.48 \tabularnewline
0.98 & 5.48 & 5.48 & 5.48 & 5.48 & 5.48 & 5.48 & 5.48 & 5.48 \tabularnewline
0.99 & 5.48 & 5.48 & 5.48 & 5.48 & 5.48 & 5.48 & 5.48 & 5.48 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=46422&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]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][/ROW]
[ROW][C]0.02[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][/ROW]
[ROW][C]0.03[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][C]3.27[/C][/ROW]
[ROW][C]0.04[/C][C]3.2732[/C][C]3.2736[/C][C]3.28[/C][C]3.28[/C][C]3.2912[/C][C]3.27[/C][C]3.2764[/C][C]3.27[/C][/ROW]
[ROW][C]0.05[/C][C]3.306[/C][C]3.308[/C][C]3.32[/C][C]3.32[/C][C]3.332[/C][C]3.32[/C][C]3.292[/C][C]3.32[/C][/ROW]
[ROW][C]0.06[/C][C]3.3396[/C][C]3.34[/C][C]3.34[/C][C]3.34[/C][C]3.34[/C][C]3.34[/C][C]3.34[/C][C]3.34[/C][/ROW]
[ROW][C]0.07[/C][C]3.3431[/C][C]3.3438[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.34[/C][C]3.3462[/C][C]3.34[/C][/ROW]
[ROW][C]0.08[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][/ROW]
[ROW][C]0.09[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][/ROW]
[ROW][C]0.1[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][C]3.36[/C][C]3.35[/C][C]3.35[/C][C]3.35[/C][/ROW]
[ROW][C]0.11[/C][C]3.3815[/C][C]3.387[/C][C]3.4[/C][C]3.4[/C][C]3.4104[/C][C]3.4[/C][C]3.363[/C][C]3.4[/C][/ROW]
[ROW][C]0.12[/C][C]3.4192[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][/ROW]
[ROW][C]0.13[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][/ROW]
[ROW][C]0.14[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][/ROW]
[ROW][C]0.15[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][/ROW]
[ROW][C]0.16[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][/ROW]
[ROW][C]0.17[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][/ROW]
[ROW][C]0.18[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][/ROW]
[ROW][C]0.19[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][C]3.4208[/C][C]3.42[/C][C]3.42[/C][C]3.42[/C][/ROW]
[ROW][C]0.2[/C][C]3.426[/C][C]3.428[/C][C]3.43[/C][C]3.43[/C][C]3.446[/C][C]3.43[/C][C]3.422[/C][C]3.43[/C][/ROW]
[ROW][C]0.21[/C][C]3.4672[/C][C]3.4756[/C][C]3.47[/C][C]3.47[/C][C]3.4988[/C][C]3.47[/C][C]3.5044[/C][C]3.47[/C][/ROW]
[ROW][C]0.22[/C][C]3.5126[/C][C]3.5148[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.51[/C][C]3.5152[/C][C]3.51[/C][/ROW]
[ROW][C]0.23[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][/ROW]
[ROW][C]0.24[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][/ROW]
[ROW][C]0.25[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][/ROW]
[ROW][C]0.26[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][/ROW]
[ROW][C]0.27[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][/ROW]
[ROW][C]0.28[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][C]3.52[/C][/ROW]
[ROW][C]0.29[/C][C]3.5542[/C][C]3.5716[/C][C]3.58[/C][C]3.58[/C][C]3.5856[/C][C]3.58[/C][C]3.5284[/C][C]3.58[/C][/ROW]
[ROW][C]0.3[/C][C]3.598[/C][C]3.602[/C][C]3.6[/C][C]3.6[/C][C]3.606[/C][C]3.6[/C][C]3.608[/C][C]3.6[/C][/ROW]
[ROW][C]0.31[/C][C]3.61[/C][C]3.61[/C][C]3.61[/C][C]3.61[/C][C]3.61[/C][C]3.61[/C][C]3.61[/C][C]3.61[/C][/ROW]
[ROW][C]0.32[/C][C]3.61[/C][C]3.61[/C][C]3.61[/C][C]3.61[/C][C]3.6148[/C][C]3.61[/C][C]3.61[/C][C]3.61[/C][/ROW]
[ROW][C]0.33[/C][C]3.6278[/C][C]3.641[/C][C]3.63[/C][C]3.63[/C][C]3.658[/C][C]3.63[/C][C]3.669[/C][C]3.63[/C][/ROW]
[ROW][C]0.34[/C][C]3.6822[/C][C]3.6856[/C][C]3.69[/C][C]3.69[/C][C]3.6888[/C][C]3.68[/C][C]3.6844[/C][C]3.69[/C][/ROW]
[ROW][C]0.35[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][/ROW]
[ROW][C]0.36[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][/ROW]
[ROW][C]0.37[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][/ROW]
[ROW][C]0.38[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][/ROW]
[ROW][C]0.39[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][C]3.69[/C][/ROW]
[ROW][C]0.4[/C][C]3.708[/C][C]3.744[/C][C]3.78[/C][C]3.78[/C][C]3.762[/C][C]3.69[/C][C]3.726[/C][C]3.78[/C][/ROW]
[ROW][C]0.41[/C][C]3.7853[/C][C]3.7894[/C][C]3.79[/C][C]3.79[/C][C]3.79[/C][C]3.79[/C][C]3.7806[/C][C]3.79[/C][/ROW]
[ROW][C]0.42[/C][C]3.79[/C][C]3.7928[/C][C]3.79[/C][C]3.79[/C][C]3.7944[/C][C]3.79[/C][C]3.7972[/C][C]3.79[/C][/ROW]
[ROW][C]0.43[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][/ROW]
[ROW][C]0.44[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][/ROW]
[ROW][C]0.45[/C][C]3.8[/C][C]3.803[/C][C]3.8[/C][C]3.8[/C][C]3.804[/C][C]3.8[/C][C]3.807[/C][C]3.8[/C][/ROW]
[ROW][C]0.46[/C][C]3.8352[/C][C]3.8996[/C][C]3.95[/C][C]3.95[/C][C]3.9108[/C][C]3.81[/C][C]3.8604[/C][C]3.95[/C][/ROW]
[ROW][C]0.47[/C][C]3.9704[/C][C]3.9892[/C][C]3.99[/C][C]3.99[/C][C]3.9904[/C][C]3.99[/C][C]3.9508[/C][C]3.99[/C][/ROW]
[ROW][C]0.48[/C][C]3.9984[/C][C]4.0192[/C][C]4[/C][C]4[/C][C]4.0216[/C][C]4[/C][C]4.0408[/C][C]4[/C][/ROW]
[ROW][C]0.49[/C][C]4.077[/C][C]4.126[/C][C]4.16[/C][C]4.16[/C][C]4.128[/C][C]4.06[/C][C]4.094[/C][C]4.16[/C][/ROW]
[ROW][C]0.5[/C][C]4.175[/C][C]4.19[/C][C]4.19[/C][C]4.19[/C][C]4.19[/C][C]4.19[/C][C]4.19[/C][C]4.19[/C][/ROW]
[ROW][C]0.51[/C][C]4.1983[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][/ROW]
[ROW][C]0.52[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][/ROW]
[ROW][C]0.53[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][C]4.2[/C][/ROW]
[ROW][C]0.54[/C][C]4.2[/C][C]4.2108[/C][C]4.2[/C][C]4.2[/C][C]4.2084[/C][C]4.2[/C][C]4.2192[/C][C]4.2[/C][/ROW]
[ROW][C]0.55[/C][C]4.2525[/C][C]4.335[/C][C]4.38[/C][C]4.38[/C][C]4.32[/C][C]4.23[/C][C]4.275[/C][C]4.38[/C][/ROW]
[ROW][C]0.56[/C][C]4.404[/C][C]4.4304[/C][C]4.43[/C][C]4.43[/C][C]4.426[/C][C]4.38[/C][C]4.4396[/C][C]4.43[/C][/ROW]
[ROW][C]0.57[/C][C]4.4381[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][/ROW]
[ROW][C]0.58[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][/ROW]
[ROW][C]0.59[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][C]4.44[/C][/ROW]
[ROW][C]0.6[/C][C]4.44[/C][C]4.444[/C][C]4.44[/C][C]4.44[/C][C]4.442[/C][C]4.44[/C][C]4.446[/C][C]4.44[/C][/ROW]
[ROW][C]0.61[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][/ROW]
[ROW][C]0.62[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][/ROW]
[ROW][C]0.63[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][/ROW]
[ROW][C]0.64[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][/ROW]
[ROW][C]0.65[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][C]4.45[/C][/ROW]
[ROW][C]0.66[/C][C]4.45[/C][C]4.4544[/C][C]4.45[/C][C]4.45[/C][C]4.4512[/C][C]4.45[/C][C]4.4556[/C][C]4.45[/C][/ROW]
[ROW][C]0.67[/C][C]4.46[/C][C]4.46[/C][C]4.46[/C][C]4.46[/C][C]4.46[/C][C]4.46[/C][C]4.46[/C][C]4.46[/C][/ROW]
[ROW][C]0.68[/C][C]4.46[/C][C]4.4624[/C][C]4.46[/C][C]4.46[/C][C]4.46[/C][C]4.46[/C][C]4.4776[/C][C]4.46[/C][/ROW]
[ROW][C]0.69[/C][C]4.4754[/C][C]4.526[/C][C]4.48[/C][C]4.48[/C][C]4.488[/C][C]4.48[/C][C]4.534[/C][C]4.48[/C][/ROW]
[ROW][C]0.7[/C][C]4.589[/C][C]4.652[/C][C]4.67[/C][C]4.67[/C][C]4.616[/C][C]4.58[/C][C]4.598[/C][C]4.67[/C][/ROW]
[ROW][C]0.71[/C][C]4.6743[/C][C]4.68[/C][C]4.68[/C][C]4.68[/C][C]4.6772[/C][C]4.67[/C][C]4.68[/C][C]4.68[/C][/ROW]
[ROW][C]0.72[/C][C]4.68[/C][C]4.6848[/C][C]4.68[/C][C]4.68[/C][C]4.6804[/C][C]4.68[/C][C]4.6852[/C][C]4.68[/C][/ROW]
[ROW][C]0.73[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][/ROW]
[ROW][C]0.74[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][/ROW]
[ROW][C]0.75[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][/ROW]
[ROW][C]0.76[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][/ROW]
[ROW][C]0.77[/C][C]4.69[/C][C]4.6972[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.69[/C][C]4.7228[/C][C]4.69[/C][/ROW]
[ROW][C]0.78[/C][C]4.7196[/C][C]4.756[/C][C]4.73[/C][C]4.73[/C][C]4.7284[/C][C]4.73[/C][C]4.754[/C][C]4.78[/C][/ROW]
[ROW][C]0.79[/C][C]4.7807[/C][C]4.7886[/C][C]4.79[/C][C]4.79[/C][C]4.7828[/C][C]4.78[/C][C]4.7814[/C][C]4.79[/C][/ROW]
[ROW][C]0.8[/C][C]4.79[/C][C]4.792[/C][C]4.79[/C][C]4.79[/C][C]4.79[/C][C]4.79[/C][C]4.798[/C][C]4.79[/C][/ROW]
[ROW][C]0.81[/C][C]4.7973[/C][C]4.8[/C][C]4.8[/C][C]4.8[/C][C]4.7992[/C][C]4.8[/C][C]4.8[/C][C]4.8[/C][/ROW]
[ROW][C]0.82[/C][C]4.8006[/C][C]4.8088[/C][C]4.81[/C][C]4.81[/C][C]4.8024[/C][C]4.8[/C][C]4.8012[/C][C]4.81[/C][/ROW]
[ROW][C]0.83[/C][C]4.9465[/C][C]5.182[/C][C]5.16[/C][C]5.16[/C][C]5.006[/C][C]4.81[/C][C]5.238[/C][C]5.16[/C][/ROW]
[ROW][C]0.84[/C][C]5.232[/C][C]5.2768[/C][C]5.26[/C][C]5.26[/C][C]5.248[/C][C]5.26[/C][C]5.2732[/C][C]5.29[/C][/ROW]
[ROW][C]0.85[/C][C]5.29[/C][C]5.29[/C][C]5.29[/C][C]5.29[/C][C]5.29[/C][C]5.29[/C][C]5.29[/C][C]5.29[/C][/ROW]
[ROW][C]0.86[/C][C]5.29[/C][C]5.2924[/C][C]5.29[/C][C]5.29[/C][C]5.29[/C][C]5.29[/C][C]5.2976[/C][C]5.29[/C][/ROW]
[ROW][C]0.87[/C][C]5.2971[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.2984[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][/ROW]
[ROW][C]0.88[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][/ROW]
[ROW][C]0.89[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][/ROW]
[ROW][C]0.9[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][/ROW]
[ROW][C]0.91[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][/ROW]
[ROW][C]0.92[/C][C]5.3[/C][C]5.314[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.3[/C][C]5.336[/C][C]5.3[/C][/ROW]
[ROW][C]0.93[/C][C]5.3345[/C][C]5.4058[/C][C]5.35[/C][C]5.35[/C][C]5.338[/C][C]5.35[/C][C]5.3842[/C][C]5.44[/C][/ROW]
[ROW][C]0.94[/C][C]5.4406[/C][C]5.4688[/C][C]5.47[/C][C]5.47[/C][C]5.4424[/C][C]5.44[/C][C]5.4412[/C][C]5.47[/C][/ROW]
[ROW][C]0.95[/C][C]5.47[/C][C]5.473[/C][C]5.47[/C][C]5.47[/C][C]5.47[/C][C]5.47[/C][C]5.477[/C][C]5.47[/C][/ROW]
[ROW][C]0.96[/C][C]5.4768[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.4772[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][/ROW]
[ROW][C]0.97[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][/ROW]
[ROW][C]0.98[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][/ROW]
[ROW][C]0.99[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][C]5.48[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=46422&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=46422&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	3.27	3.27	3.27	3.27	3.27	3.27	3.27	3.27
0.02	3.27	3.27	3.27	3.27	3.27	3.27	3.27	3.27
0.03	3.27	3.27	3.27	3.27	3.27	3.27	3.27	3.27
0.04	3.2732	3.2736	3.28	3.28	3.2912	3.27	3.2764	3.27
0.05	3.306	3.308	3.32	3.32	3.332	3.32	3.292	3.32
0.06	3.3396	3.34	3.34	3.34	3.34	3.34	3.34	3.34
0.07	3.3431	3.3438	3.35	3.35	3.35	3.34	3.3462	3.34
0.08	3.35	3.35	3.35	3.35	3.35	3.35	3.35	3.35
0.09	3.35	3.35	3.35	3.35	3.35	3.35	3.35	3.35
0.1	3.35	3.35	3.35	3.35	3.36	3.35	3.35	3.35
0.11	3.3815	3.387	3.4	3.4	3.4104	3.4	3.363	3.4
0.12	3.4192	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.13	3.42	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.14	3.42	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.15	3.42	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.16	3.42	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.17	3.42	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.18	3.42	3.42	3.42	3.42	3.42	3.42	3.42	3.42
0.19	3.42	3.42	3.42	3.42	3.4208	3.42	3.42	3.42
0.2	3.426	3.428	3.43	3.43	3.446	3.43	3.422	3.43
0.21	3.4672	3.4756	3.47	3.47	3.4988	3.47	3.5044	3.47
0.22	3.5126	3.5148	3.52	3.52	3.52	3.51	3.5152	3.51
0.23	3.52	3.52	3.52	3.52	3.52	3.52	3.52	3.52
0.24	3.52	3.52	3.52	3.52	3.52	3.52	3.52	3.52
0.25	3.52	3.52	3.52	3.52	3.52	3.52	3.52	3.52
0.26	3.52	3.52	3.52	3.52	3.52	3.52	3.52	3.52
0.27	3.52	3.52	3.52	3.52	3.52	3.52	3.52	3.52
0.28	3.52	3.52	3.52	3.52	3.52	3.52	3.52	3.52
0.29	3.5542	3.5716	3.58	3.58	3.5856	3.58	3.5284	3.58
0.3	3.598	3.602	3.6	3.6	3.606	3.6	3.608	3.6
0.31	3.61	3.61	3.61	3.61	3.61	3.61	3.61	3.61
0.32	3.61	3.61	3.61	3.61	3.6148	3.61	3.61	3.61
0.33	3.6278	3.641	3.63	3.63	3.658	3.63	3.669	3.63
0.34	3.6822	3.6856	3.69	3.69	3.6888	3.68	3.6844	3.69
0.35	3.69	3.69	3.69	3.69	3.69	3.69	3.69	3.69
0.36	3.69	3.69	3.69	3.69	3.69	3.69	3.69	3.69
0.37	3.69	3.69	3.69	3.69	3.69	3.69	3.69	3.69
0.38	3.69	3.69	3.69	3.69	3.69	3.69	3.69	3.69
0.39	3.69	3.69	3.69	3.69	3.69	3.69	3.69	3.69
0.4	3.708	3.744	3.78	3.78	3.762	3.69	3.726	3.78
0.41	3.7853	3.7894	3.79	3.79	3.79	3.79	3.7806	3.79
0.42	3.79	3.7928	3.79	3.79	3.7944	3.79	3.7972	3.79
0.43	3.8	3.8	3.8	3.8	3.8	3.8	3.8	3.8
0.44	3.8	3.8	3.8	3.8	3.8	3.8	3.8	3.8
0.45	3.8	3.803	3.8	3.8	3.804	3.8	3.807	3.8
0.46	3.8352	3.8996	3.95	3.95	3.9108	3.81	3.8604	3.95
0.47	3.9704	3.9892	3.99	3.99	3.9904	3.99	3.9508	3.99
0.48	3.9984	4.0192	4	4	4.0216	4	4.0408	4
0.49	4.077	4.126	4.16	4.16	4.128	4.06	4.094	4.16
0.5	4.175	4.19	4.19	4.19	4.19	4.19	4.19	4.19
0.51	4.1983	4.2	4.2	4.2	4.2	4.2	4.2	4.2
0.52	4.2	4.2	4.2	4.2	4.2	4.2	4.2	4.2
0.53	4.2	4.2	4.2	4.2	4.2	4.2	4.2	4.2
0.54	4.2	4.2108	4.2	4.2	4.2084	4.2	4.2192	4.2
0.55	4.2525	4.335	4.38	4.38	4.32	4.23	4.275	4.38
0.56	4.404	4.4304	4.43	4.43	4.426	4.38	4.4396	4.43
0.57	4.4381	4.44	4.44	4.44	4.44	4.44	4.44	4.44
0.58	4.44	4.44	4.44	4.44	4.44	4.44	4.44	4.44
0.59	4.44	4.44	4.44	4.44	4.44	4.44	4.44	4.44
0.6	4.44	4.444	4.44	4.44	4.442	4.44	4.446	4.44
0.61	4.45	4.45	4.45	4.45	4.45	4.45	4.45	4.45
0.62	4.45	4.45	4.45	4.45	4.45	4.45	4.45	4.45
0.63	4.45	4.45	4.45	4.45	4.45	4.45	4.45	4.45
0.64	4.45	4.45	4.45	4.45	4.45	4.45	4.45	4.45
0.65	4.45	4.45	4.45	4.45	4.45	4.45	4.45	4.45
0.66	4.45	4.4544	4.45	4.45	4.4512	4.45	4.4556	4.45
0.67	4.46	4.46	4.46	4.46	4.46	4.46	4.46	4.46
0.68	4.46	4.4624	4.46	4.46	4.46	4.46	4.4776	4.46
0.69	4.4754	4.526	4.48	4.48	4.488	4.48	4.534	4.48
0.7	4.589	4.652	4.67	4.67	4.616	4.58	4.598	4.67
0.71	4.6743	4.68	4.68	4.68	4.6772	4.67	4.68	4.68
0.72	4.68	4.6848	4.68	4.68	4.6804	4.68	4.6852	4.68
0.73	4.69	4.69	4.69	4.69	4.69	4.69	4.69	4.69
0.74	4.69	4.69	4.69	4.69	4.69	4.69	4.69	4.69
0.75	4.69	4.69	4.69	4.69	4.69	4.69	4.69	4.69
0.76	4.69	4.69	4.69	4.69	4.69	4.69	4.69	4.69
0.77	4.69	4.6972	4.69	4.69	4.69	4.69	4.7228	4.69
0.78	4.7196	4.756	4.73	4.73	4.7284	4.73	4.754	4.78
0.79	4.7807	4.7886	4.79	4.79	4.7828	4.78	4.7814	4.79
0.8	4.79	4.792	4.79	4.79	4.79	4.79	4.798	4.79
0.81	4.7973	4.8	4.8	4.8	4.7992	4.8	4.8	4.8
0.82	4.8006	4.8088	4.81	4.81	4.8024	4.8	4.8012	4.81
0.83	4.9465	5.182	5.16	5.16	5.006	4.81	5.238	5.16
0.84	5.232	5.2768	5.26	5.26	5.248	5.26	5.2732	5.29
0.85	5.29	5.29	5.29	5.29	5.29	5.29	5.29	5.29
0.86	5.29	5.2924	5.29	5.29	5.29	5.29	5.2976	5.29
0.87	5.2971	5.3	5.3	5.3	5.2984	5.3	5.3	5.3
0.88	5.3	5.3	5.3	5.3	5.3	5.3	5.3	5.3
0.89	5.3	5.3	5.3	5.3	5.3	5.3	5.3	5.3
0.9	5.3	5.3	5.3	5.3	5.3	5.3	5.3	5.3
0.91	5.3	5.3	5.3	5.3	5.3	5.3	5.3	5.3
0.92	5.3	5.314	5.3	5.3	5.3	5.3	5.336	5.3
0.93	5.3345	5.4058	5.35	5.35	5.338	5.35	5.3842	5.44
0.94	5.4406	5.4688	5.47	5.47	5.4424	5.44	5.4412	5.47
0.95	5.47	5.473	5.47	5.47	5.47	5.47	5.477	5.47
0.96	5.4768	5.48	5.48	5.48	5.4772	5.48	5.48	5.48
0.97	5.48	5.48	5.48	5.48	5.48	5.48	5.48	5.48
0.98	5.48	5.48	5.48	5.48	5.48	5.48	5.48	5.48
0.99	5.48	5.48	5.48	5.48	5.48	5.48	5.48	5.48

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