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R Software Module

rwasp_percentiles.wasp

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Percentiles

Date of computation

Mon, 19 Oct 2009 03:17:05 -0600

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Oct/19/t1255943866kvc3ejs99fofrqr.htm/, Retrieved Mon, 29 Apr 2024 20:31:54 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=47632, Retrieved Mon, 29 Apr 2024 20:31:54 +0000

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User-defined keywords

Estimated Impact

104

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

-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
F RMPD  [Univariate Explorative Data Analysis] [Colombia Coffee] [2008-01-07 14:21:11] [74be16979710d4c4e7c6647856088456]
F RMPD    [Univariate Data Series] [] [2009-10-14 08:30:28] [74be16979710d4c4e7c6647856088456]
- RMPD        [Percentiles] [workshop 3] [2009-10-19 09:17:05] [e81f30a5c3daacfe71a556c99a478849] [Current]

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Dataseries X:

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5.10
5.21
5.31
5.34
5.44
5.47
5.60
5.68
5.76
6.03
6.14
6.54
6.50
6.43
6.93
6.77
6.58
6.55
6.41
6.28
6.18
6.35
6.17
6.04
5.68
5.43
5.43
5.38
5.28
5.33
5.35
5.31
5.24
5.12
5.04
5.03
4.98
4.98
5.09
5.12
5.07
5.05
5.05
5.05
5.03
5.11
5.19
5.14
4.97
4.94
4.93
4.92
4.90
4.90
4.82
4.81
4.72
4.54
4.51
4.30
4.08
4.05
4.03
3.85
3.80
3.91
3.99
4.08
5.15
4.78
4.79
4.79
4.69
4.82
4.98
5.12
5.55
5.65
5.66
5.74
5.76
5.91
5.92
5.74
5.25
5.06
4.84
4.66
4.38
4.14
4.11
3.96
3.51
3.00
2.75
2.63
2.58
2.63
2.69
2.69
2.69
2.67
2.63
2.57
2.56
2.52
2.29
2.18
2.10
2.02
1.91
1.92
1.85
1.64
1.62
1.64
1.65
1.65
1.67
1.66
1.61
1.59
1.57
1.60
1.67
1.81
1.88
1.92
2.01
2.12
2.24
2.34
2.41
2.48
2.59
2.65
2.70
2.77
2.87
2.97
3.03
3.19
3.36
3.48
3.56
3.68
3.82
3.93
4.04
4.19
4.30
4.33
4.36
4.44
4.49
4.52

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=47632&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=47632&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=47632&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	1 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	1.5812	1.5814	1.59	1.59	1.5955	1.59	1.5786	1.59
0.02	1.6012	1.6014	1.61	1.61	1.611	1.6	1.6086	1.6
0.03	1.6168	1.6171	1.62	1.62	1.633	1.62	1.6129	1.62
0.04	1.64	1.64	1.64	1.64	1.642	1.64	1.64	1.64
0.05	1.648	1.6485	1.65	1.65	1.65	1.65	1.6415	1.65
0.06	1.6536	1.6542	1.66	1.66	1.663	1.65	1.6558	1.65
0.07	1.6692	1.6699	1.67	1.67	1.67	1.67	1.6601	1.67
0.08	1.7372	1.7484	1.81	1.81	1.826	1.67	1.7316	1.81
0.09	1.8512	1.8539	1.88	1.88	1.8785	1.85	1.8761	1.85
0.1	1.898	1.901	1.91	1.91	1.915	1.91	1.889	1.91
0.11	1.92	1.92	1.92	1.92	1.9245	1.92	1.92	1.92
0.12	1.9848	1.9956	2.01	2.01	2.016	2.01	1.9344	2.01
0.13	2.0424	2.0528	2.1	2.1	2.103	2.02	2.0672	2.02
0.14	2.1168	2.1196	2.12	2.12	2.162	2.12	2.1004	2.12
0.15	2.204	2.213	2.24	2.24	2.2525	2.18	2.207	2.24
0.16	2.288	2.296	2.29	2.29	2.33	2.29	2.334	2.29
0.17	2.3764	2.3883	2.41	2.41	2.4345	2.41	2.3617	2.41
0.18	2.4832	2.4904	2.52	2.52	2.516	2.48	2.5096	2.48
0.19	2.5456	2.5532	2.56	2.56	2.5645	2.56	2.5268	2.56
0.2	2.572	2.574	2.58	2.58	2.58	2.57	2.576	2.57
0.21	2.5876	2.5897	2.59	2.59	2.612	2.59	2.5803	2.59
0.22	2.63	2.63	2.63	2.63	2.63	2.63	2.63	2.63
0.23	2.63	2.6322	2.63	2.63	2.643	2.63	2.6478	2.63
0.24	2.6588	2.6636	2.67	2.67	2.674	2.65	2.6564	2.67
0.25	2.69	2.69	2.69	2.69	2.69	2.69	2.69	2.69
0.26	2.69	2.69	2.69	2.69	2.693	2.69	2.69	2.69
0.27	2.706	2.7195	2.75	2.75	2.7425	2.7	2.7305	2.7
0.28	2.7636	2.7692	2.77	2.77	2.81	2.77	2.7508	2.77
0.29	2.894	2.923	2.97	2.97	2.965	2.87	2.917	2.97
0.3	2.994	3.003	3	3	3.015	3	3.027	3
0.31	3.0876	3.1372	3.19	3.19	3.1985	3.03	3.0828	3.19
0.32	3.3464	3.3888	3.36	3.36	3.432	3.36	3.4512	3.36
0.33	3.4944	3.5043	3.51	3.51	3.5175	3.48	3.4857	3.51
0.34	3.5648	3.6056	3.68	3.68	3.644	3.56	3.6344	3.56
0.35	3.752	3.794	3.8	3.8	3.805	3.8	3.686	3.8
0.36	3.8248	3.8356	3.85	3.85	3.844	3.82	3.8344	3.85
0.37	3.8932	3.9118	3.91	3.91	3.917	3.91	3.9282	3.91
0.38	3.9384	3.9498	3.96	3.96	3.957	3.93	3.9402	3.96
0.39	3.9852	3.9992	3.99	3.99	4.008	3.99	4.0208	3.99
0.4	4.034	4.038	4.04	4.04	4.04	4.03	4.032	4.04
0.41	4.0496	4.0611	4.05	4.05	4.0665	4.05	4.0689	4.05
0.42	4.08	4.08	4.08	4.08	4.083	4.08	4.08	4.08
0.43	4.1124	4.1253	4.14	4.14	4.1295	4.11	4.1247	4.14
0.44	4.172	4.1988	4.19	4.19	4.212	4.19	4.2912	4.19
0.45	4.3	4.3	4.3	4.3	4.3	4.3	4.3	4.3
0.46	4.3228	4.3366	4.33	4.33	4.339	4.33	4.3534	4.33
0.47	4.3664	4.3758	4.38	4.38	4.377	4.36	4.3642	4.38
0.48	4.4328	4.458	4.44	4.44	4.46	4.44	4.472	4.44
0.49	4.4988	4.5086	4.51	4.51	4.509	4.49	4.4914	4.51
0.5	4.52	4.53	4.52	4.53	4.53	4.52	4.53	4.53
0.51	4.6072	4.6621	4.66	4.66	4.6615	4.66	4.6879	4.66
0.52	4.6936	4.7092	4.72	4.72	4.708	4.69	4.7008	4.72
0.53	4.7608	4.7821	4.78	4.78	4.7815	4.78	4.7879	4.78
0.54	4.79	4.79	4.79	4.79	4.79	4.79	4.79	4.79
0.55	4.806	4.8135	4.81	4.81	4.8125	4.81	4.8165	4.81
0.56	4.82	4.82	4.82	4.82	4.82	4.82	4.82	4.82
0.57	4.8384	4.8694	4.84	4.84	4.861	4.84	4.8706	4.84
0.58	4.9	4.9012	4.9	4.9	4.9	4.9	4.9188	4.9
0.59	4.9204	4.9263	4.93	4.93	4.9245	4.92	4.9237	4.93
0.6	4.936	4.946	4.94	4.94	4.94	4.94	4.964	4.94
0.61	4.9716	4.9777	4.98	4.98	4.9755	4.97	4.9723	4.98
0.62	4.98	4.98	4.98	4.98	4.98	4.98	4.98	4.98
0.63	4.994	5.0255	5.03	5.03	5.0125	4.98	4.9845	5.03
0.64	5.03	5.0348	5.03	5.03	5.032	5.03	5.0352	5.03
0.65	5.044	5.05	5.05	5.05	5.0475	5.04	5.05	5.05
0.66	5.05	5.05	5.05	5.05	5.05	5.05	5.05	5.05
0.67	5.0552	5.0619	5.06	5.06	5.0585	5.06	5.0681	5.06
0.68	5.0716	5.0852	5.09	5.09	5.078	5.07	5.0748	5.09
0.69	5.0964	5.1033	5.1	5.1	5.0995	5.1	5.1067	5.1
0.7	5.112	5.119	5.12	5.12	5.115	5.11	5.111	5.12
0.71	5.12	5.12	5.12	5.12	5.12	5.12	5.12	5.12
0.72	5.1264	5.1404	5.14	5.14	5.132	5.12	5.1496	5.14
0.73	5.1488	5.1744	5.15	5.15	5.156	5.15	5.1656	5.19
0.74	5.1988	5.2154	5.21	5.21	5.204	5.19	5.2346	5.21
0.75	5.24	5.2475	5.24	5.245	5.2425	5.24	5.2425	5.25
0.76	5.2668	5.2896	5.28	5.28	5.274	5.28	5.3004	5.28
0.77	5.31	5.31	5.31	5.31	5.31	5.31	5.31	5.31
0.78	5.3236	5.3346	5.33	5.33	5.328	5.33	5.3354	5.33
0.79	5.3424	5.3509	5.35	5.35	5.3445	5.34	5.3791	5.35
0.8	5.374	5.41	5.38	5.38	5.38	5.38	5.4	5.43
0.81	5.43	5.4317	5.43	5.43	5.43	5.43	5.4383	5.43
0.82	5.4392	5.4622	5.44	5.44	5.443	5.44	5.4478	5.47
0.83	5.5084	5.5655	5.55	5.55	5.522	5.47	5.5845	5.55
0.84	5.602	5.644	5.65	5.65	5.61	5.6	5.606	5.65
0.85	5.656	5.669	5.66	5.66	5.6575	5.66	5.671	5.66
0.86	5.68	5.6812	5.68	5.68	5.68	5.68	5.7388	5.68
0.87	5.7232	5.74	5.74	5.74	5.731	5.74	5.74	5.74
0.88	5.7456	5.76	5.76	5.76	5.748	5.74	5.76	5.76
0.89	5.76	5.8695	5.76	5.76	5.76	5.76	5.8005	5.91
0.9	5.914	5.953	5.92	5.92	5.915	5.91	5.997	5.92
0.91	6.0256	6.0387	6.03	6.03	6.0305	6.03	6.0313	6.04
0.92	6.092	6.1532	6.14	6.14	6.1	6.14	6.1568	6.14
0.93	6.1708	6.181	6.18	6.18	6.1715	6.17	6.279	6.18
0.94	6.244	6.3206	6.28	6.28	6.25	6.28	6.3094	6.35
0.95	6.362	6.413	6.41	6.41	6.365	6.35	6.427	6.41
0.96	6.4252	6.4804	6.43	6.43	6.426	6.43	6.4496	6.5
0.97	6.5128	6.5429	6.54	6.54	6.514	6.5	6.5471	6.54
0.98	6.5488	6.5758	6.55	6.55	6.549	6.55	6.5542	6.58
0.99	6.6636	6.8388	6.77	6.77	6.6655	6.58	6.8612	6.77

\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 & 1.5812 & 1.5814 & 1.59 & 1.59 & 1.5955 & 1.59 & 1.5786 & 1.59 \tabularnewline
0.02 & 1.6012 & 1.6014 & 1.61 & 1.61 & 1.611 & 1.6 & 1.6086 & 1.6 \tabularnewline
0.03 & 1.6168 & 1.6171 & 1.62 & 1.62 & 1.633 & 1.62 & 1.6129 & 1.62 \tabularnewline
0.04 & 1.64 & 1.64 & 1.64 & 1.64 & 1.642 & 1.64 & 1.64 & 1.64 \tabularnewline
0.05 & 1.648 & 1.6485 & 1.65 & 1.65 & 1.65 & 1.65 & 1.6415 & 1.65 \tabularnewline
0.06 & 1.6536 & 1.6542 & 1.66 & 1.66 & 1.663 & 1.65 & 1.6558 & 1.65 \tabularnewline
0.07 & 1.6692 & 1.6699 & 1.67 & 1.67 & 1.67 & 1.67 & 1.6601 & 1.67 \tabularnewline
0.08 & 1.7372 & 1.7484 & 1.81 & 1.81 & 1.826 & 1.67 & 1.7316 & 1.81 \tabularnewline
0.09 & 1.8512 & 1.8539 & 1.88 & 1.88 & 1.8785 & 1.85 & 1.8761 & 1.85 \tabularnewline
0.1 & 1.898 & 1.901 & 1.91 & 1.91 & 1.915 & 1.91 & 1.889 & 1.91 \tabularnewline
0.11 & 1.92 & 1.92 & 1.92 & 1.92 & 1.9245 & 1.92 & 1.92 & 1.92 \tabularnewline
0.12 & 1.9848 & 1.9956 & 2.01 & 2.01 & 2.016 & 2.01 & 1.9344 & 2.01 \tabularnewline
0.13 & 2.0424 & 2.0528 & 2.1 & 2.1 & 2.103 & 2.02 & 2.0672 & 2.02 \tabularnewline
0.14 & 2.1168 & 2.1196 & 2.12 & 2.12 & 2.162 & 2.12 & 2.1004 & 2.12 \tabularnewline
0.15 & 2.204 & 2.213 & 2.24 & 2.24 & 2.2525 & 2.18 & 2.207 & 2.24 \tabularnewline
0.16 & 2.288 & 2.296 & 2.29 & 2.29 & 2.33 & 2.29 & 2.334 & 2.29 \tabularnewline
0.17 & 2.3764 & 2.3883 & 2.41 & 2.41 & 2.4345 & 2.41 & 2.3617 & 2.41 \tabularnewline
0.18 & 2.4832 & 2.4904 & 2.52 & 2.52 & 2.516 & 2.48 & 2.5096 & 2.48 \tabularnewline
0.19 & 2.5456 & 2.5532 & 2.56 & 2.56 & 2.5645 & 2.56 & 2.5268 & 2.56 \tabularnewline
0.2 & 2.572 & 2.574 & 2.58 & 2.58 & 2.58 & 2.57 & 2.576 & 2.57 \tabularnewline
0.21 & 2.5876 & 2.5897 & 2.59 & 2.59 & 2.612 & 2.59 & 2.5803 & 2.59 \tabularnewline
0.22 & 2.63 & 2.63 & 2.63 & 2.63 & 2.63 & 2.63 & 2.63 & 2.63 \tabularnewline
0.23 & 2.63 & 2.6322 & 2.63 & 2.63 & 2.643 & 2.63 & 2.6478 & 2.63 \tabularnewline
0.24 & 2.6588 & 2.6636 & 2.67 & 2.67 & 2.674 & 2.65 & 2.6564 & 2.67 \tabularnewline
0.25 & 2.69 & 2.69 & 2.69 & 2.69 & 2.69 & 2.69 & 2.69 & 2.69 \tabularnewline
0.26 & 2.69 & 2.69 & 2.69 & 2.69 & 2.693 & 2.69 & 2.69 & 2.69 \tabularnewline
0.27 & 2.706 & 2.7195 & 2.75 & 2.75 & 2.7425 & 2.7 & 2.7305 & 2.7 \tabularnewline
0.28 & 2.7636 & 2.7692 & 2.77 & 2.77 & 2.81 & 2.77 & 2.7508 & 2.77 \tabularnewline
0.29 & 2.894 & 2.923 & 2.97 & 2.97 & 2.965 & 2.87 & 2.917 & 2.97 \tabularnewline
0.3 & 2.994 & 3.003 & 3 & 3 & 3.015 & 3 & 3.027 & 3 \tabularnewline
0.31 & 3.0876 & 3.1372 & 3.19 & 3.19 & 3.1985 & 3.03 & 3.0828 & 3.19 \tabularnewline
0.32 & 3.3464 & 3.3888 & 3.36 & 3.36 & 3.432 & 3.36 & 3.4512 & 3.36 \tabularnewline
0.33 & 3.4944 & 3.5043 & 3.51 & 3.51 & 3.5175 & 3.48 & 3.4857 & 3.51 \tabularnewline
0.34 & 3.5648 & 3.6056 & 3.68 & 3.68 & 3.644 & 3.56 & 3.6344 & 3.56 \tabularnewline
0.35 & 3.752 & 3.794 & 3.8 & 3.8 & 3.805 & 3.8 & 3.686 & 3.8 \tabularnewline
0.36 & 3.8248 & 3.8356 & 3.85 & 3.85 & 3.844 & 3.82 & 3.8344 & 3.85 \tabularnewline
0.37 & 3.8932 & 3.9118 & 3.91 & 3.91 & 3.917 & 3.91 & 3.9282 & 3.91 \tabularnewline
0.38 & 3.9384 & 3.9498 & 3.96 & 3.96 & 3.957 & 3.93 & 3.9402 & 3.96 \tabularnewline
0.39 & 3.9852 & 3.9992 & 3.99 & 3.99 & 4.008 & 3.99 & 4.0208 & 3.99 \tabularnewline
0.4 & 4.034 & 4.038 & 4.04 & 4.04 & 4.04 & 4.03 & 4.032 & 4.04 \tabularnewline
0.41 & 4.0496 & 4.0611 & 4.05 & 4.05 & 4.0665 & 4.05 & 4.0689 & 4.05 \tabularnewline
0.42 & 4.08 & 4.08 & 4.08 & 4.08 & 4.083 & 4.08 & 4.08 & 4.08 \tabularnewline
0.43 & 4.1124 & 4.1253 & 4.14 & 4.14 & 4.1295 & 4.11 & 4.1247 & 4.14 \tabularnewline
0.44 & 4.172 & 4.1988 & 4.19 & 4.19 & 4.212 & 4.19 & 4.2912 & 4.19 \tabularnewline
0.45 & 4.3 & 4.3 & 4.3 & 4.3 & 4.3 & 4.3 & 4.3 & 4.3 \tabularnewline
0.46 & 4.3228 & 4.3366 & 4.33 & 4.33 & 4.339 & 4.33 & 4.3534 & 4.33 \tabularnewline
0.47 & 4.3664 & 4.3758 & 4.38 & 4.38 & 4.377 & 4.36 & 4.3642 & 4.38 \tabularnewline
0.48 & 4.4328 & 4.458 & 4.44 & 4.44 & 4.46 & 4.44 & 4.472 & 4.44 \tabularnewline
0.49 & 4.4988 & 4.5086 & 4.51 & 4.51 & 4.509 & 4.49 & 4.4914 & 4.51 \tabularnewline
0.5 & 4.52 & 4.53 & 4.52 & 4.53 & 4.53 & 4.52 & 4.53 & 4.53 \tabularnewline
0.51 & 4.6072 & 4.6621 & 4.66 & 4.66 & 4.6615 & 4.66 & 4.6879 & 4.66 \tabularnewline
0.52 & 4.6936 & 4.7092 & 4.72 & 4.72 & 4.708 & 4.69 & 4.7008 & 4.72 \tabularnewline
0.53 & 4.7608 & 4.7821 & 4.78 & 4.78 & 4.7815 & 4.78 & 4.7879 & 4.78 \tabularnewline
0.54 & 4.79 & 4.79 & 4.79 & 4.79 & 4.79 & 4.79 & 4.79 & 4.79 \tabularnewline
0.55 & 4.806 & 4.8135 & 4.81 & 4.81 & 4.8125 & 4.81 & 4.8165 & 4.81 \tabularnewline
0.56 & 4.82 & 4.82 & 4.82 & 4.82 & 4.82 & 4.82 & 4.82 & 4.82 \tabularnewline
0.57 & 4.8384 & 4.8694 & 4.84 & 4.84 & 4.861 & 4.84 & 4.8706 & 4.84 \tabularnewline
0.58 & 4.9 & 4.9012 & 4.9 & 4.9 & 4.9 & 4.9 & 4.9188 & 4.9 \tabularnewline
0.59 & 4.9204 & 4.9263 & 4.93 & 4.93 & 4.9245 & 4.92 & 4.9237 & 4.93 \tabularnewline
0.6 & 4.936 & 4.946 & 4.94 & 4.94 & 4.94 & 4.94 & 4.964 & 4.94 \tabularnewline
0.61 & 4.9716 & 4.9777 & 4.98 & 4.98 & 4.9755 & 4.97 & 4.9723 & 4.98 \tabularnewline
0.62 & 4.98 & 4.98 & 4.98 & 4.98 & 4.98 & 4.98 & 4.98 & 4.98 \tabularnewline
0.63 & 4.994 & 5.0255 & 5.03 & 5.03 & 5.0125 & 4.98 & 4.9845 & 5.03 \tabularnewline
0.64 & 5.03 & 5.0348 & 5.03 & 5.03 & 5.032 & 5.03 & 5.0352 & 5.03 \tabularnewline
0.65 & 5.044 & 5.05 & 5.05 & 5.05 & 5.0475 & 5.04 & 5.05 & 5.05 \tabularnewline
0.66 & 5.05 & 5.05 & 5.05 & 5.05 & 5.05 & 5.05 & 5.05 & 5.05 \tabularnewline
0.67 & 5.0552 & 5.0619 & 5.06 & 5.06 & 5.0585 & 5.06 & 5.0681 & 5.06 \tabularnewline
0.68 & 5.0716 & 5.0852 & 5.09 & 5.09 & 5.078 & 5.07 & 5.0748 & 5.09 \tabularnewline
0.69 & 5.0964 & 5.1033 & 5.1 & 5.1 & 5.0995 & 5.1 & 5.1067 & 5.1 \tabularnewline
0.7 & 5.112 & 5.119 & 5.12 & 5.12 & 5.115 & 5.11 & 5.111 & 5.12 \tabularnewline
0.71 & 5.12 & 5.12 & 5.12 & 5.12 & 5.12 & 5.12 & 5.12 & 5.12 \tabularnewline
0.72 & 5.1264 & 5.1404 & 5.14 & 5.14 & 5.132 & 5.12 & 5.1496 & 5.14 \tabularnewline
0.73 & 5.1488 & 5.1744 & 5.15 & 5.15 & 5.156 & 5.15 & 5.1656 & 5.19 \tabularnewline
0.74 & 5.1988 & 5.2154 & 5.21 & 5.21 & 5.204 & 5.19 & 5.2346 & 5.21 \tabularnewline
0.75 & 5.24 & 5.2475 & 5.24 & 5.245 & 5.2425 & 5.24 & 5.2425 & 5.25 \tabularnewline
0.76 & 5.2668 & 5.2896 & 5.28 & 5.28 & 5.274 & 5.28 & 5.3004 & 5.28 \tabularnewline
0.77 & 5.31 & 5.31 & 5.31 & 5.31 & 5.31 & 5.31 & 5.31 & 5.31 \tabularnewline
0.78 & 5.3236 & 5.3346 & 5.33 & 5.33 & 5.328 & 5.33 & 5.3354 & 5.33 \tabularnewline
0.79 & 5.3424 & 5.3509 & 5.35 & 5.35 & 5.3445 & 5.34 & 5.3791 & 5.35 \tabularnewline
0.8 & 5.374 & 5.41 & 5.38 & 5.38 & 5.38 & 5.38 & 5.4 & 5.43 \tabularnewline
0.81 & 5.43 & 5.4317 & 5.43 & 5.43 & 5.43 & 5.43 & 5.4383 & 5.43 \tabularnewline
0.82 & 5.4392 & 5.4622 & 5.44 & 5.44 & 5.443 & 5.44 & 5.4478 & 5.47 \tabularnewline
0.83 & 5.5084 & 5.5655 & 5.55 & 5.55 & 5.522 & 5.47 & 5.5845 & 5.55 \tabularnewline
0.84 & 5.602 & 5.644 & 5.65 & 5.65 & 5.61 & 5.6 & 5.606 & 5.65 \tabularnewline
0.85 & 5.656 & 5.669 & 5.66 & 5.66 & 5.6575 & 5.66 & 5.671 & 5.66 \tabularnewline
0.86 & 5.68 & 5.6812 & 5.68 & 5.68 & 5.68 & 5.68 & 5.7388 & 5.68 \tabularnewline
0.87 & 5.7232 & 5.74 & 5.74 & 5.74 & 5.731 & 5.74 & 5.74 & 5.74 \tabularnewline
0.88 & 5.7456 & 5.76 & 5.76 & 5.76 & 5.748 & 5.74 & 5.76 & 5.76 \tabularnewline
0.89 & 5.76 & 5.8695 & 5.76 & 5.76 & 5.76 & 5.76 & 5.8005 & 5.91 \tabularnewline
0.9 & 5.914 & 5.953 & 5.92 & 5.92 & 5.915 & 5.91 & 5.997 & 5.92 \tabularnewline
0.91 & 6.0256 & 6.0387 & 6.03 & 6.03 & 6.0305 & 6.03 & 6.0313 & 6.04 \tabularnewline
0.92 & 6.092 & 6.1532 & 6.14 & 6.14 & 6.1 & 6.14 & 6.1568 & 6.14 \tabularnewline
0.93 & 6.1708 & 6.181 & 6.18 & 6.18 & 6.1715 & 6.17 & 6.279 & 6.18 \tabularnewline
0.94 & 6.244 & 6.3206 & 6.28 & 6.28 & 6.25 & 6.28 & 6.3094 & 6.35 \tabularnewline
0.95 & 6.362 & 6.413 & 6.41 & 6.41 & 6.365 & 6.35 & 6.427 & 6.41 \tabularnewline
0.96 & 6.4252 & 6.4804 & 6.43 & 6.43 & 6.426 & 6.43 & 6.4496 & 6.5 \tabularnewline
0.97 & 6.5128 & 6.5429 & 6.54 & 6.54 & 6.514 & 6.5 & 6.5471 & 6.54 \tabularnewline
0.98 & 6.5488 & 6.5758 & 6.55 & 6.55 & 6.549 & 6.55 & 6.5542 & 6.58 \tabularnewline
0.99 & 6.6636 & 6.8388 & 6.77 & 6.77 & 6.6655 & 6.58 & 6.8612 & 6.77 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=47632&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]1.5812[/C][C]1.5814[/C][C]1.59[/C][C]1.59[/C][C]1.5955[/C][C]1.59[/C][C]1.5786[/C][C]1.59[/C][/ROW]
[ROW][C]0.02[/C][C]1.6012[/C][C]1.6014[/C][C]1.61[/C][C]1.61[/C][C]1.611[/C][C]1.6[/C][C]1.6086[/C][C]1.6[/C][/ROW]
[ROW][C]0.03[/C][C]1.6168[/C][C]1.6171[/C][C]1.62[/C][C]1.62[/C][C]1.633[/C][C]1.62[/C][C]1.6129[/C][C]1.62[/C][/ROW]
[ROW][C]0.04[/C][C]1.64[/C][C]1.64[/C][C]1.64[/C][C]1.64[/C][C]1.642[/C][C]1.64[/C][C]1.64[/C][C]1.64[/C][/ROW]
[ROW][C]0.05[/C][C]1.648[/C][C]1.6485[/C][C]1.65[/C][C]1.65[/C][C]1.65[/C][C]1.65[/C][C]1.6415[/C][C]1.65[/C][/ROW]
[ROW][C]0.06[/C][C]1.6536[/C][C]1.6542[/C][C]1.66[/C][C]1.66[/C][C]1.663[/C][C]1.65[/C][C]1.6558[/C][C]1.65[/C][/ROW]
[ROW][C]0.07[/C][C]1.6692[/C][C]1.6699[/C][C]1.67[/C][C]1.67[/C][C]1.67[/C][C]1.67[/C][C]1.6601[/C][C]1.67[/C][/ROW]
[ROW][C]0.08[/C][C]1.7372[/C][C]1.7484[/C][C]1.81[/C][C]1.81[/C][C]1.826[/C][C]1.67[/C][C]1.7316[/C][C]1.81[/C][/ROW]
[ROW][C]0.09[/C][C]1.8512[/C][C]1.8539[/C][C]1.88[/C][C]1.88[/C][C]1.8785[/C][C]1.85[/C][C]1.8761[/C][C]1.85[/C][/ROW]
[ROW][C]0.1[/C][C]1.898[/C][C]1.901[/C][C]1.91[/C][C]1.91[/C][C]1.915[/C][C]1.91[/C][C]1.889[/C][C]1.91[/C][/ROW]
[ROW][C]0.11[/C][C]1.92[/C][C]1.92[/C][C]1.92[/C][C]1.92[/C][C]1.9245[/C][C]1.92[/C][C]1.92[/C][C]1.92[/C][/ROW]
[ROW][C]0.12[/C][C]1.9848[/C][C]1.9956[/C][C]2.01[/C][C]2.01[/C][C]2.016[/C][C]2.01[/C][C]1.9344[/C][C]2.01[/C][/ROW]
[ROW][C]0.13[/C][C]2.0424[/C][C]2.0528[/C][C]2.1[/C][C]2.1[/C][C]2.103[/C][C]2.02[/C][C]2.0672[/C][C]2.02[/C][/ROW]
[ROW][C]0.14[/C][C]2.1168[/C][C]2.1196[/C][C]2.12[/C][C]2.12[/C][C]2.162[/C][C]2.12[/C][C]2.1004[/C][C]2.12[/C][/ROW]
[ROW][C]0.15[/C][C]2.204[/C][C]2.213[/C][C]2.24[/C][C]2.24[/C][C]2.2525[/C][C]2.18[/C][C]2.207[/C][C]2.24[/C][/ROW]
[ROW][C]0.16[/C][C]2.288[/C][C]2.296[/C][C]2.29[/C][C]2.29[/C][C]2.33[/C][C]2.29[/C][C]2.334[/C][C]2.29[/C][/ROW]
[ROW][C]0.17[/C][C]2.3764[/C][C]2.3883[/C][C]2.41[/C][C]2.41[/C][C]2.4345[/C][C]2.41[/C][C]2.3617[/C][C]2.41[/C][/ROW]
[ROW][C]0.18[/C][C]2.4832[/C][C]2.4904[/C][C]2.52[/C][C]2.52[/C][C]2.516[/C][C]2.48[/C][C]2.5096[/C][C]2.48[/C][/ROW]
[ROW][C]0.19[/C][C]2.5456[/C][C]2.5532[/C][C]2.56[/C][C]2.56[/C][C]2.5645[/C][C]2.56[/C][C]2.5268[/C][C]2.56[/C][/ROW]
[ROW][C]0.2[/C][C]2.572[/C][C]2.574[/C][C]2.58[/C][C]2.58[/C][C]2.58[/C][C]2.57[/C][C]2.576[/C][C]2.57[/C][/ROW]
[ROW][C]0.21[/C][C]2.5876[/C][C]2.5897[/C][C]2.59[/C][C]2.59[/C][C]2.612[/C][C]2.59[/C][C]2.5803[/C][C]2.59[/C][/ROW]
[ROW][C]0.22[/C][C]2.63[/C][C]2.63[/C][C]2.63[/C][C]2.63[/C][C]2.63[/C][C]2.63[/C][C]2.63[/C][C]2.63[/C][/ROW]
[ROW][C]0.23[/C][C]2.63[/C][C]2.6322[/C][C]2.63[/C][C]2.63[/C][C]2.643[/C][C]2.63[/C][C]2.6478[/C][C]2.63[/C][/ROW]
[ROW][C]0.24[/C][C]2.6588[/C][C]2.6636[/C][C]2.67[/C][C]2.67[/C][C]2.674[/C][C]2.65[/C][C]2.6564[/C][C]2.67[/C][/ROW]
[ROW][C]0.25[/C][C]2.69[/C][C]2.69[/C][C]2.69[/C][C]2.69[/C][C]2.69[/C][C]2.69[/C][C]2.69[/C][C]2.69[/C][/ROW]
[ROW][C]0.26[/C][C]2.69[/C][C]2.69[/C][C]2.69[/C][C]2.69[/C][C]2.693[/C][C]2.69[/C][C]2.69[/C][C]2.69[/C][/ROW]
[ROW][C]0.27[/C][C]2.706[/C][C]2.7195[/C][C]2.75[/C][C]2.75[/C][C]2.7425[/C][C]2.7[/C][C]2.7305[/C][C]2.7[/C][/ROW]
[ROW][C]0.28[/C][C]2.7636[/C][C]2.7692[/C][C]2.77[/C][C]2.77[/C][C]2.81[/C][C]2.77[/C][C]2.7508[/C][C]2.77[/C][/ROW]
[ROW][C]0.29[/C][C]2.894[/C][C]2.923[/C][C]2.97[/C][C]2.97[/C][C]2.965[/C][C]2.87[/C][C]2.917[/C][C]2.97[/C][/ROW]
[ROW][C]0.3[/C][C]2.994[/C][C]3.003[/C][C]3[/C][C]3[/C][C]3.015[/C][C]3[/C][C]3.027[/C][C]3[/C][/ROW]
[ROW][C]0.31[/C][C]3.0876[/C][C]3.1372[/C][C]3.19[/C][C]3.19[/C][C]3.1985[/C][C]3.03[/C][C]3.0828[/C][C]3.19[/C][/ROW]
[ROW][C]0.32[/C][C]3.3464[/C][C]3.3888[/C][C]3.36[/C][C]3.36[/C][C]3.432[/C][C]3.36[/C][C]3.4512[/C][C]3.36[/C][/ROW]
[ROW][C]0.33[/C][C]3.4944[/C][C]3.5043[/C][C]3.51[/C][C]3.51[/C][C]3.5175[/C][C]3.48[/C][C]3.4857[/C][C]3.51[/C][/ROW]
[ROW][C]0.34[/C][C]3.5648[/C][C]3.6056[/C][C]3.68[/C][C]3.68[/C][C]3.644[/C][C]3.56[/C][C]3.6344[/C][C]3.56[/C][/ROW]
[ROW][C]0.35[/C][C]3.752[/C][C]3.794[/C][C]3.8[/C][C]3.8[/C][C]3.805[/C][C]3.8[/C][C]3.686[/C][C]3.8[/C][/ROW]
[ROW][C]0.36[/C][C]3.8248[/C][C]3.8356[/C][C]3.85[/C][C]3.85[/C][C]3.844[/C][C]3.82[/C][C]3.8344[/C][C]3.85[/C][/ROW]
[ROW][C]0.37[/C][C]3.8932[/C][C]3.9118[/C][C]3.91[/C][C]3.91[/C][C]3.917[/C][C]3.91[/C][C]3.9282[/C][C]3.91[/C][/ROW]
[ROW][C]0.38[/C][C]3.9384[/C][C]3.9498[/C][C]3.96[/C][C]3.96[/C][C]3.957[/C][C]3.93[/C][C]3.9402[/C][C]3.96[/C][/ROW]
[ROW][C]0.39[/C][C]3.9852[/C][C]3.9992[/C][C]3.99[/C][C]3.99[/C][C]4.008[/C][C]3.99[/C][C]4.0208[/C][C]3.99[/C][/ROW]
[ROW][C]0.4[/C][C]4.034[/C][C]4.038[/C][C]4.04[/C][C]4.04[/C][C]4.04[/C][C]4.03[/C][C]4.032[/C][C]4.04[/C][/ROW]
[ROW][C]0.41[/C][C]4.0496[/C][C]4.0611[/C][C]4.05[/C][C]4.05[/C][C]4.0665[/C][C]4.05[/C][C]4.0689[/C][C]4.05[/C][/ROW]
[ROW][C]0.42[/C][C]4.08[/C][C]4.08[/C][C]4.08[/C][C]4.08[/C][C]4.083[/C][C]4.08[/C][C]4.08[/C][C]4.08[/C][/ROW]
[ROW][C]0.43[/C][C]4.1124[/C][C]4.1253[/C][C]4.14[/C][C]4.14[/C][C]4.1295[/C][C]4.11[/C][C]4.1247[/C][C]4.14[/C][/ROW]
[ROW][C]0.44[/C][C]4.172[/C][C]4.1988[/C][C]4.19[/C][C]4.19[/C][C]4.212[/C][C]4.19[/C][C]4.2912[/C][C]4.19[/C][/ROW]
[ROW][C]0.45[/C][C]4.3[/C][C]4.3[/C][C]4.3[/C][C]4.3[/C][C]4.3[/C][C]4.3[/C][C]4.3[/C][C]4.3[/C][/ROW]
[ROW][C]0.46[/C][C]4.3228[/C][C]4.3366[/C][C]4.33[/C][C]4.33[/C][C]4.339[/C][C]4.33[/C][C]4.3534[/C][C]4.33[/C][/ROW]
[ROW][C]0.47[/C][C]4.3664[/C][C]4.3758[/C][C]4.38[/C][C]4.38[/C][C]4.377[/C][C]4.36[/C][C]4.3642[/C][C]4.38[/C][/ROW]
[ROW][C]0.48[/C][C]4.4328[/C][C]4.458[/C][C]4.44[/C][C]4.44[/C][C]4.46[/C][C]4.44[/C][C]4.472[/C][C]4.44[/C][/ROW]
[ROW][C]0.49[/C][C]4.4988[/C][C]4.5086[/C][C]4.51[/C][C]4.51[/C][C]4.509[/C][C]4.49[/C][C]4.4914[/C][C]4.51[/C][/ROW]
[ROW][C]0.5[/C][C]4.52[/C][C]4.53[/C][C]4.52[/C][C]4.53[/C][C]4.53[/C][C]4.52[/C][C]4.53[/C][C]4.53[/C][/ROW]
[ROW][C]0.51[/C][C]4.6072[/C][C]4.6621[/C][C]4.66[/C][C]4.66[/C][C]4.6615[/C][C]4.66[/C][C]4.6879[/C][C]4.66[/C][/ROW]
[ROW][C]0.52[/C][C]4.6936[/C][C]4.7092[/C][C]4.72[/C][C]4.72[/C][C]4.708[/C][C]4.69[/C][C]4.7008[/C][C]4.72[/C][/ROW]
[ROW][C]0.53[/C][C]4.7608[/C][C]4.7821[/C][C]4.78[/C][C]4.78[/C][C]4.7815[/C][C]4.78[/C][C]4.7879[/C][C]4.78[/C][/ROW]
[ROW][C]0.54[/C][C]4.79[/C][C]4.79[/C][C]4.79[/C][C]4.79[/C][C]4.79[/C][C]4.79[/C][C]4.79[/C][C]4.79[/C][/ROW]
[ROW][C]0.55[/C][C]4.806[/C][C]4.8135[/C][C]4.81[/C][C]4.81[/C][C]4.8125[/C][C]4.81[/C][C]4.8165[/C][C]4.81[/C][/ROW]
[ROW][C]0.56[/C][C]4.82[/C][C]4.82[/C][C]4.82[/C][C]4.82[/C][C]4.82[/C][C]4.82[/C][C]4.82[/C][C]4.82[/C][/ROW]
[ROW][C]0.57[/C][C]4.8384[/C][C]4.8694[/C][C]4.84[/C][C]4.84[/C][C]4.861[/C][C]4.84[/C][C]4.8706[/C][C]4.84[/C][/ROW]
[ROW][C]0.58[/C][C]4.9[/C][C]4.9012[/C][C]4.9[/C][C]4.9[/C][C]4.9[/C][C]4.9[/C][C]4.9188[/C][C]4.9[/C][/ROW]
[ROW][C]0.59[/C][C]4.9204[/C][C]4.9263[/C][C]4.93[/C][C]4.93[/C][C]4.9245[/C][C]4.92[/C][C]4.9237[/C][C]4.93[/C][/ROW]
[ROW][C]0.6[/C][C]4.936[/C][C]4.946[/C][C]4.94[/C][C]4.94[/C][C]4.94[/C][C]4.94[/C][C]4.964[/C][C]4.94[/C][/ROW]
[ROW][C]0.61[/C][C]4.9716[/C][C]4.9777[/C][C]4.98[/C][C]4.98[/C][C]4.9755[/C][C]4.97[/C][C]4.9723[/C][C]4.98[/C][/ROW]
[ROW][C]0.62[/C][C]4.98[/C][C]4.98[/C][C]4.98[/C][C]4.98[/C][C]4.98[/C][C]4.98[/C][C]4.98[/C][C]4.98[/C][/ROW]
[ROW][C]0.63[/C][C]4.994[/C][C]5.0255[/C][C]5.03[/C][C]5.03[/C][C]5.0125[/C][C]4.98[/C][C]4.9845[/C][C]5.03[/C][/ROW]
[ROW][C]0.64[/C][C]5.03[/C][C]5.0348[/C][C]5.03[/C][C]5.03[/C][C]5.032[/C][C]5.03[/C][C]5.0352[/C][C]5.03[/C][/ROW]
[ROW][C]0.65[/C][C]5.044[/C][C]5.05[/C][C]5.05[/C][C]5.05[/C][C]5.0475[/C][C]5.04[/C][C]5.05[/C][C]5.05[/C][/ROW]
[ROW][C]0.66[/C][C]5.05[/C][C]5.05[/C][C]5.05[/C][C]5.05[/C][C]5.05[/C][C]5.05[/C][C]5.05[/C][C]5.05[/C][/ROW]
[ROW][C]0.67[/C][C]5.0552[/C][C]5.0619[/C][C]5.06[/C][C]5.06[/C][C]5.0585[/C][C]5.06[/C][C]5.0681[/C][C]5.06[/C][/ROW]
[ROW][C]0.68[/C][C]5.0716[/C][C]5.0852[/C][C]5.09[/C][C]5.09[/C][C]5.078[/C][C]5.07[/C][C]5.0748[/C][C]5.09[/C][/ROW]
[ROW][C]0.69[/C][C]5.0964[/C][C]5.1033[/C][C]5.1[/C][C]5.1[/C][C]5.0995[/C][C]5.1[/C][C]5.1067[/C][C]5.1[/C][/ROW]
[ROW][C]0.7[/C][C]5.112[/C][C]5.119[/C][C]5.12[/C][C]5.12[/C][C]5.115[/C][C]5.11[/C][C]5.111[/C][C]5.12[/C][/ROW]
[ROW][C]0.71[/C][C]5.12[/C][C]5.12[/C][C]5.12[/C][C]5.12[/C][C]5.12[/C][C]5.12[/C][C]5.12[/C][C]5.12[/C][/ROW]
[ROW][C]0.72[/C][C]5.1264[/C][C]5.1404[/C][C]5.14[/C][C]5.14[/C][C]5.132[/C][C]5.12[/C][C]5.1496[/C][C]5.14[/C][/ROW]
[ROW][C]0.73[/C][C]5.1488[/C][C]5.1744[/C][C]5.15[/C][C]5.15[/C][C]5.156[/C][C]5.15[/C][C]5.1656[/C][C]5.19[/C][/ROW]
[ROW][C]0.74[/C][C]5.1988[/C][C]5.2154[/C][C]5.21[/C][C]5.21[/C][C]5.204[/C][C]5.19[/C][C]5.2346[/C][C]5.21[/C][/ROW]
[ROW][C]0.75[/C][C]5.24[/C][C]5.2475[/C][C]5.24[/C][C]5.245[/C][C]5.2425[/C][C]5.24[/C][C]5.2425[/C][C]5.25[/C][/ROW]
[ROW][C]0.76[/C][C]5.2668[/C][C]5.2896[/C][C]5.28[/C][C]5.28[/C][C]5.274[/C][C]5.28[/C][C]5.3004[/C][C]5.28[/C][/ROW]
[ROW][C]0.77[/C][C]5.31[/C][C]5.31[/C][C]5.31[/C][C]5.31[/C][C]5.31[/C][C]5.31[/C][C]5.31[/C][C]5.31[/C][/ROW]
[ROW][C]0.78[/C][C]5.3236[/C][C]5.3346[/C][C]5.33[/C][C]5.33[/C][C]5.328[/C][C]5.33[/C][C]5.3354[/C][C]5.33[/C][/ROW]
[ROW][C]0.79[/C][C]5.3424[/C][C]5.3509[/C][C]5.35[/C][C]5.35[/C][C]5.3445[/C][C]5.34[/C][C]5.3791[/C][C]5.35[/C][/ROW]
[ROW][C]0.8[/C][C]5.374[/C][C]5.41[/C][C]5.38[/C][C]5.38[/C][C]5.38[/C][C]5.38[/C][C]5.4[/C][C]5.43[/C][/ROW]
[ROW][C]0.81[/C][C]5.43[/C][C]5.4317[/C][C]5.43[/C][C]5.43[/C][C]5.43[/C][C]5.43[/C][C]5.4383[/C][C]5.43[/C][/ROW]
[ROW][C]0.82[/C][C]5.4392[/C][C]5.4622[/C][C]5.44[/C][C]5.44[/C][C]5.443[/C][C]5.44[/C][C]5.4478[/C][C]5.47[/C][/ROW]
[ROW][C]0.83[/C][C]5.5084[/C][C]5.5655[/C][C]5.55[/C][C]5.55[/C][C]5.522[/C][C]5.47[/C][C]5.5845[/C][C]5.55[/C][/ROW]
[ROW][C]0.84[/C][C]5.602[/C][C]5.644[/C][C]5.65[/C][C]5.65[/C][C]5.61[/C][C]5.6[/C][C]5.606[/C][C]5.65[/C][/ROW]
[ROW][C]0.85[/C][C]5.656[/C][C]5.669[/C][C]5.66[/C][C]5.66[/C][C]5.6575[/C][C]5.66[/C][C]5.671[/C][C]5.66[/C][/ROW]
[ROW][C]0.86[/C][C]5.68[/C][C]5.6812[/C][C]5.68[/C][C]5.68[/C][C]5.68[/C][C]5.68[/C][C]5.7388[/C][C]5.68[/C][/ROW]
[ROW][C]0.87[/C][C]5.7232[/C][C]5.74[/C][C]5.74[/C][C]5.74[/C][C]5.731[/C][C]5.74[/C][C]5.74[/C][C]5.74[/C][/ROW]
[ROW][C]0.88[/C][C]5.7456[/C][C]5.76[/C][C]5.76[/C][C]5.76[/C][C]5.748[/C][C]5.74[/C][C]5.76[/C][C]5.76[/C][/ROW]
[ROW][C]0.89[/C][C]5.76[/C][C]5.8695[/C][C]5.76[/C][C]5.76[/C][C]5.76[/C][C]5.76[/C][C]5.8005[/C][C]5.91[/C][/ROW]
[ROW][C]0.9[/C][C]5.914[/C][C]5.953[/C][C]5.92[/C][C]5.92[/C][C]5.915[/C][C]5.91[/C][C]5.997[/C][C]5.92[/C][/ROW]
[ROW][C]0.91[/C][C]6.0256[/C][C]6.0387[/C][C]6.03[/C][C]6.03[/C][C]6.0305[/C][C]6.03[/C][C]6.0313[/C][C]6.04[/C][/ROW]
[ROW][C]0.92[/C][C]6.092[/C][C]6.1532[/C][C]6.14[/C][C]6.14[/C][C]6.1[/C][C]6.14[/C][C]6.1568[/C][C]6.14[/C][/ROW]
[ROW][C]0.93[/C][C]6.1708[/C][C]6.181[/C][C]6.18[/C][C]6.18[/C][C]6.1715[/C][C]6.17[/C][C]6.279[/C][C]6.18[/C][/ROW]
[ROW][C]0.94[/C][C]6.244[/C][C]6.3206[/C][C]6.28[/C][C]6.28[/C][C]6.25[/C][C]6.28[/C][C]6.3094[/C][C]6.35[/C][/ROW]
[ROW][C]0.95[/C][C]6.362[/C][C]6.413[/C][C]6.41[/C][C]6.41[/C][C]6.365[/C][C]6.35[/C][C]6.427[/C][C]6.41[/C][/ROW]
[ROW][C]0.96[/C][C]6.4252[/C][C]6.4804[/C][C]6.43[/C][C]6.43[/C][C]6.426[/C][C]6.43[/C][C]6.4496[/C][C]6.5[/C][/ROW]
[ROW][C]0.97[/C][C]6.5128[/C][C]6.5429[/C][C]6.54[/C][C]6.54[/C][C]6.514[/C][C]6.5[/C][C]6.5471[/C][C]6.54[/C][/ROW]
[ROW][C]0.98[/C][C]6.5488[/C][C]6.5758[/C][C]6.55[/C][C]6.55[/C][C]6.549[/C][C]6.55[/C][C]6.5542[/C][C]6.58[/C][/ROW]
[ROW][C]0.99[/C][C]6.6636[/C][C]6.8388[/C][C]6.77[/C][C]6.77[/C][C]6.6655[/C][C]6.58[/C][C]6.8612[/C][C]6.77[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=47632&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=47632&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	1.5812	1.5814	1.59	1.59	1.5955	1.59	1.5786	1.59
0.02	1.6012	1.6014	1.61	1.61	1.611	1.6	1.6086	1.6
0.03	1.6168	1.6171	1.62	1.62	1.633	1.62	1.6129	1.62
0.04	1.64	1.64	1.64	1.64	1.642	1.64	1.64	1.64
0.05	1.648	1.6485	1.65	1.65	1.65	1.65	1.6415	1.65
0.06	1.6536	1.6542	1.66	1.66	1.663	1.65	1.6558	1.65
0.07	1.6692	1.6699	1.67	1.67	1.67	1.67	1.6601	1.67
0.08	1.7372	1.7484	1.81	1.81	1.826	1.67	1.7316	1.81
0.09	1.8512	1.8539	1.88	1.88	1.8785	1.85	1.8761	1.85
0.1	1.898	1.901	1.91	1.91	1.915	1.91	1.889	1.91
0.11	1.92	1.92	1.92	1.92	1.9245	1.92	1.92	1.92
0.12	1.9848	1.9956	2.01	2.01	2.016	2.01	1.9344	2.01
0.13	2.0424	2.0528	2.1	2.1	2.103	2.02	2.0672	2.02
0.14	2.1168	2.1196	2.12	2.12	2.162	2.12	2.1004	2.12
0.15	2.204	2.213	2.24	2.24	2.2525	2.18	2.207	2.24
0.16	2.288	2.296	2.29	2.29	2.33	2.29	2.334	2.29
0.17	2.3764	2.3883	2.41	2.41	2.4345	2.41	2.3617	2.41
0.18	2.4832	2.4904	2.52	2.52	2.516	2.48	2.5096	2.48
0.19	2.5456	2.5532	2.56	2.56	2.5645	2.56	2.5268	2.56
0.2	2.572	2.574	2.58	2.58	2.58	2.57	2.576	2.57
0.21	2.5876	2.5897	2.59	2.59	2.612	2.59	2.5803	2.59
0.22	2.63	2.63	2.63	2.63	2.63	2.63	2.63	2.63
0.23	2.63	2.6322	2.63	2.63	2.643	2.63	2.6478	2.63
0.24	2.6588	2.6636	2.67	2.67	2.674	2.65	2.6564	2.67
0.25	2.69	2.69	2.69	2.69	2.69	2.69	2.69	2.69
0.26	2.69	2.69	2.69	2.69	2.693	2.69	2.69	2.69
0.27	2.706	2.7195	2.75	2.75	2.7425	2.7	2.7305	2.7
0.28	2.7636	2.7692	2.77	2.77	2.81	2.77	2.7508	2.77
0.29	2.894	2.923	2.97	2.97	2.965	2.87	2.917	2.97
0.3	2.994	3.003	3	3	3.015	3	3.027	3
0.31	3.0876	3.1372	3.19	3.19	3.1985	3.03	3.0828	3.19
0.32	3.3464	3.3888	3.36	3.36	3.432	3.36	3.4512	3.36
0.33	3.4944	3.5043	3.51	3.51	3.5175	3.48	3.4857	3.51
0.34	3.5648	3.6056	3.68	3.68	3.644	3.56	3.6344	3.56
0.35	3.752	3.794	3.8	3.8	3.805	3.8	3.686	3.8
0.36	3.8248	3.8356	3.85	3.85	3.844	3.82	3.8344	3.85
0.37	3.8932	3.9118	3.91	3.91	3.917	3.91	3.9282	3.91
0.38	3.9384	3.9498	3.96	3.96	3.957	3.93	3.9402	3.96
0.39	3.9852	3.9992	3.99	3.99	4.008	3.99	4.0208	3.99
0.4	4.034	4.038	4.04	4.04	4.04	4.03	4.032	4.04
0.41	4.0496	4.0611	4.05	4.05	4.0665	4.05	4.0689	4.05
0.42	4.08	4.08	4.08	4.08	4.083	4.08	4.08	4.08
0.43	4.1124	4.1253	4.14	4.14	4.1295	4.11	4.1247	4.14
0.44	4.172	4.1988	4.19	4.19	4.212	4.19	4.2912	4.19
0.45	4.3	4.3	4.3	4.3	4.3	4.3	4.3	4.3
0.46	4.3228	4.3366	4.33	4.33	4.339	4.33	4.3534	4.33
0.47	4.3664	4.3758	4.38	4.38	4.377	4.36	4.3642	4.38
0.48	4.4328	4.458	4.44	4.44	4.46	4.44	4.472	4.44
0.49	4.4988	4.5086	4.51	4.51	4.509	4.49	4.4914	4.51
0.5	4.52	4.53	4.52	4.53	4.53	4.52	4.53	4.53
0.51	4.6072	4.6621	4.66	4.66	4.6615	4.66	4.6879	4.66
0.52	4.6936	4.7092	4.72	4.72	4.708	4.69	4.7008	4.72
0.53	4.7608	4.7821	4.78	4.78	4.7815	4.78	4.7879	4.78
0.54	4.79	4.79	4.79	4.79	4.79	4.79	4.79	4.79
0.55	4.806	4.8135	4.81	4.81	4.8125	4.81	4.8165	4.81
0.56	4.82	4.82	4.82	4.82	4.82	4.82	4.82	4.82
0.57	4.8384	4.8694	4.84	4.84	4.861	4.84	4.8706	4.84
0.58	4.9	4.9012	4.9	4.9	4.9	4.9	4.9188	4.9
0.59	4.9204	4.9263	4.93	4.93	4.9245	4.92	4.9237	4.93
0.6	4.936	4.946	4.94	4.94	4.94	4.94	4.964	4.94
0.61	4.9716	4.9777	4.98	4.98	4.9755	4.97	4.9723	4.98
0.62	4.98	4.98	4.98	4.98	4.98	4.98	4.98	4.98
0.63	4.994	5.0255	5.03	5.03	5.0125	4.98	4.9845	5.03
0.64	5.03	5.0348	5.03	5.03	5.032	5.03	5.0352	5.03
0.65	5.044	5.05	5.05	5.05	5.0475	5.04	5.05	5.05
0.66	5.05	5.05	5.05	5.05	5.05	5.05	5.05	5.05
0.67	5.0552	5.0619	5.06	5.06	5.0585	5.06	5.0681	5.06
0.68	5.0716	5.0852	5.09	5.09	5.078	5.07	5.0748	5.09
0.69	5.0964	5.1033	5.1	5.1	5.0995	5.1	5.1067	5.1
0.7	5.112	5.119	5.12	5.12	5.115	5.11	5.111	5.12
0.71	5.12	5.12	5.12	5.12	5.12	5.12	5.12	5.12
0.72	5.1264	5.1404	5.14	5.14	5.132	5.12	5.1496	5.14
0.73	5.1488	5.1744	5.15	5.15	5.156	5.15	5.1656	5.19
0.74	5.1988	5.2154	5.21	5.21	5.204	5.19	5.2346	5.21
0.75	5.24	5.2475	5.24	5.245	5.2425	5.24	5.2425	5.25
0.76	5.2668	5.2896	5.28	5.28	5.274	5.28	5.3004	5.28
0.77	5.31	5.31	5.31	5.31	5.31	5.31	5.31	5.31
0.78	5.3236	5.3346	5.33	5.33	5.328	5.33	5.3354	5.33
0.79	5.3424	5.3509	5.35	5.35	5.3445	5.34	5.3791	5.35
0.8	5.374	5.41	5.38	5.38	5.38	5.38	5.4	5.43
0.81	5.43	5.4317	5.43	5.43	5.43	5.43	5.4383	5.43
0.82	5.4392	5.4622	5.44	5.44	5.443	5.44	5.4478	5.47
0.83	5.5084	5.5655	5.55	5.55	5.522	5.47	5.5845	5.55
0.84	5.602	5.644	5.65	5.65	5.61	5.6	5.606	5.65
0.85	5.656	5.669	5.66	5.66	5.6575	5.66	5.671	5.66
0.86	5.68	5.6812	5.68	5.68	5.68	5.68	5.7388	5.68
0.87	5.7232	5.74	5.74	5.74	5.731	5.74	5.74	5.74
0.88	5.7456	5.76	5.76	5.76	5.748	5.74	5.76	5.76
0.89	5.76	5.8695	5.76	5.76	5.76	5.76	5.8005	5.91
0.9	5.914	5.953	5.92	5.92	5.915	5.91	5.997	5.92
0.91	6.0256	6.0387	6.03	6.03	6.0305	6.03	6.0313	6.04
0.92	6.092	6.1532	6.14	6.14	6.1	6.14	6.1568	6.14
0.93	6.1708	6.181	6.18	6.18	6.1715	6.17	6.279	6.18
0.94	6.244	6.3206	6.28	6.28	6.25	6.28	6.3094	6.35
0.95	6.362	6.413	6.41	6.41	6.365	6.35	6.427	6.41
0.96	6.4252	6.4804	6.43	6.43	6.426	6.43	6.4496	6.5
0.97	6.5128	6.5429	6.54	6.54	6.514	6.5	6.5471	6.54
0.98	6.5488	6.5758	6.55	6.55	6.549	6.55	6.5542	6.58
0.99	6.6636	6.8388	6.77	6.77	6.6655	6.58	6.8612	6.77

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