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rwasp_percentiles.wasp

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Percentiles

Date of computation

Tue, 04 Dec 2012 11:57:23 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/04/t1354640277ey9gm9cq99958g9.htm/, Retrieved Sat, 20 Apr 2024 10:39:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=196395, Retrieved Sat, 20 Apr 2024 10:39:30 +0000

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Estimated Impact

102

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

-     [Percentiles] [Intrinsic Motivat...] [2010-10-12 12:10:58] [b98453cac15ba1066b407e146608df68]
- R  D  [Percentiles] [] [2011-10-18 22:34:54] [b98453cac15ba1066b407e146608df68]
- R  D      [Percentiles] [Paper stat - wiss...] [2012-12-04 16:57:23] [3353489d44052879174bf0d9e8b7362f] [Current]

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

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196395&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196395&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196395&T=0

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

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

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	0.8543	0.85432	0.8552	0.8552	0.855848	0.8552	0.85408	0.8552
0.02	0.85683	0.856916	0.8607	0.8607	0.861444	0.8564	0.860184	0.8564
0.03	0.866745	0.867024	0.87	0.87	0.871302	0.87	0.863676	0.87
0.04	0.87252	0.872604	0.8742	0.8742	0.874456	0.8721	0.873696	0.8721
0.05	0.8754	0.87548	0.8758	0.8758	0.88105	0.8758	0.87452	0.8758
0.06	0.88405	0.8842	0.8858	0.8858	0.8864	0.8833	0.8849	0.8833
0.07	0.887925	0.8881	0.8883	0.8883	0.891186	0.8883	0.886	0.8883
0.08	0.89216	0.892192	0.8924	0.8924	0.893968	0.892	0.892208	0.892
0.09	0.897055	0.897428	0.8973	0.8973	0.900052	0.8973	0.900372	0.8973
0.1	0.9023	0.90266	0.9041	0.9041	0.90482	0.9041	0.90194	0.9041
0.11	0.905905	0.905916	0.906	0.906	0.905994	0.9059	0.905984	0.9059
0.12	0.9081	0.90852	0.9095	0.9095	0.910268	0.9095	0.90698	0.9095
0.13	0.911985	0.912752	0.917	0.917	0.917094	0.9111	0.915348	0.9111
0.14	0.92029	0.920948	0.9217	0.9217	0.930996	0.9217	0.917752	0.9217
0.15	0.93865	0.93886	0.9397	0.9397	0.94043	0.9383	0.93914	0.9383
0.16	0.94554	0.946708	0.947	0.947	0.948408	0.947	0.939992	0.947
0.17	0.95137	0.952424	0.9554	0.9554	0.957002	0.9492	0.952176	0.9554
0.18	0.96341	0.96538	0.9643	0.9643	0.97402	0.9643	0.97672	0.9643
0.19	0.97915	0.97972	0.9808	0.9808	0.980878	0.9778	0.97888	0.9808
0.2	0.9811	0.98156	0.9811	0.98225	0.98294	0.9811	0.98294	0.9811
0.21	0.98824	0.990088	0.9922	0.9922	0.995328	0.9922	0.985512	0.9922
0.22	1.00263	1.005336	1.0137	1.0137	1.012224	1.0014	1.009764	1.0014
0.23	1.01669	1.017748	1.0183	1.0183	1.036738	1.0183	1.014252	1.0183
0.24	1.06522	1.068844	1.0773	1.0773	1.076696	1.0622	1.070656	1.0622
0.25	1.07985	1.0807	1.0807	1.0807	1.08275	1.0807	1.0807	1.0807
0.26	1.09353	1.101096	1.1139	1.1139	1.114232	1.0848	1.097604	1.1139
0.27	1.120955	1.124	1.1222	1.1222	1.1309	1.1222	1.1354	1.1222
0.28	1.1456	1.15148	1.1582	1.1582	1.159172	1.1372	1.14392	1.1582
0.29	1.165895	1.166996	1.1663	1.1663	1.168214	1.1663	1.168504	1.1663
0.3	1.1697	1.17	1.1702	1.1702	1.17188	1.1702	1.1694	1.1702
0.31	1.17895	1.18112	1.1856	1.1856	1.18378	1.1786	1.18308	1.1786
0.32	1.19052	1.193144	1.1938	1.1938	1.195116	1.1938	1.186256	1.1938
0.33	1.19883	1.199556	1.2007	1.2007	1.200304	1.1985	1.199644	1.1985
0.34	1.20126	1.20152	1.2015	1.2015	1.20168	1.2015	1.20198	1.2015
0.35	1.202425	1.20302	1.2037	1.2037	1.20353	1.202	1.20268	1.2037
0.36	1.20898	1.21086	1.2103	1.2103	1.21184	1.2103	1.21324	1.2103
0.37	1.214745	1.215744	1.2165	1.2165	1.216446	1.2138	1.214556	1.2165
0.38	1.21749	1.218496	1.2176	1.2176	1.219264	1.2176	1.219904	1.2176
0.39	1.22125	1.22164	1.2218	1.2218	1.222028	1.2208	1.22096	1.2218
0.4	1.2256	1.22584	1.2256	1.2259	1.22596	1.2256	1.22596	1.2256
0.41	1.22642	1.226584	1.2266	1.2266	1.22667	1.2266	1.226216	1.2266
0.42	1.22725	1.22788	1.2286	1.2286	1.22812	1.2271	1.22782	1.2286
0.43	1.22873	1.228832	1.2288	1.2288	1.228888	1.2288	1.229168	1.2288
0.44	1.23136	1.236112	1.24	1.24	1.237408	1.2292	1.233088	1.24
0.45	1.24675	1.24972	1.249	1.249	1.25008	1.249	1.25188	1.249
0.46	1.25377	1.255564	1.2565	1.2565	1.255876	1.2526	1.253536	1.2565
0.47	1.26041	1.261164	1.2611	1.2611	1.261176	1.2611	1.261236	1.2611
0.48	1.26262	1.264204	1.2646	1.2646	1.264336	1.2613	1.261696	1.2646
0.49	1.26498	1.266496	1.265	1.265	1.266564	1.265	1.266904	1.265
0.5	1.2689	1.2694	1.2694	1.2694	1.2694	1.2694	1.2694	1.2694
0.51	1.272725	1.27298	1.2732	1.2732	1.27297	1.2727	1.27292	1.2732
0.52	1.27548	1.277	1.277	1.277	1.277	1.277	1.277	1.277
0.53	1.277225	1.27802	1.2785	1.2785	1.27793	1.277	1.27748	1.2785
0.54	1.27878	1.279428	1.2789	1.2789	1.279252	1.2789	1.280572	1.2789
0.55	1.281525	1.28246	1.2828	1.2828	1.28229	1.2811	1.28144	1.2828
0.56	1.28504	1.2865	1.2856	1.2856	1.2862	1.2856	1.2872	1.2856
0.57	1.288555	1.289296	1.2894	1.2894	1.289114	1.2881	1.288204	1.2894
0.58	1.29039	1.292084	1.2905	1.2905	1.291556	1.2905	1.292216	1.2905
0.59	1.29542	1.297468	1.2974	1.2974	1.296896	1.2938	1.299032	1.2974
0.6	1.2991	1.29958	1.2991	1.2995	1.29942	1.2991	1.29942	1.2999
0.61	1.300725	1.301976	1.3014	1.3014	1.30131	1.3014	1.304424	1.3014
0.62	1.30517	1.306224	1.3067	1.3067	1.305816	1.305	1.305476	1.3067
0.63	1.307155	1.30866	1.3074	1.3074	1.30749	1.3074	1.31064	1.3074
0.64	1.31276	1.315512	1.3162	1.3162	1.314308	1.3119	1.312588	1.3162
0.65	1.317475	1.31834	1.3179	1.3179	1.31801	1.3179	1.31856	1.3179
0.66	1.31933	1.320056	1.3201	1.3201	1.319704	1.319	1.319044	1.3201
0.67	1.3201	1.320724	1.3201	1.3201	1.320316	1.3201	1.320676	1.3213
0.68	1.32158	1.322032	1.322	1.322	1.321804	1.3213	1.322368	1.322
0.69	1.32238	1.32336	1.3224	1.3224	1.32279	1.3224	1.32294	1.3239
0.7	1.32405	1.3258	1.3242	1.3242	1.32414	1.3242	1.3306	1.3242
0.71	1.33239	1.335088	1.336	1.336	1.333492	1.3322	1.333112	1.336
0.72	1.33876	1.340664	1.3406	1.3406	1.340048	1.3406	1.340736	1.3406
0.73	1.340965	1.341768	1.3419	1.3419	1.341262	1.3408	1.340932	1.3419
0.74	1.344	1.347628	1.3449	1.3449	1.34478	1.3449	1.348372	1.3449
0.75	1.351225	1.3516	1.3516	1.3516	1.35135	1.3511	1.3516	1.3516
0.76	1.3548	1.356328	1.3556	1.3556	1.355652	1.3556	1.356172	1.3569
0.77	1.358755	1.362524	1.3622	1.3622	1.359974	1.3569	1.364576	1.3622
0.78	1.36463	1.364968	1.3649	1.3649	1.364912	1.3649	1.364932	1.365
0.79	1.365495	1.3667	1.3661	1.3661	1.365726	1.365	1.368	1.3661
0.8	1.3686	1.3702	1.3686	1.3696	1.369	1.3686	1.369	1.3706
0.81	1.37115	1.373544	1.3716	1.3716	1.37134	1.3716	1.375056	1.3716
0.82	1.37826	1.388592	1.3896	1.3896	1.380528	1.377	1.378008	1.3896
0.83	1.38973	1.394648	1.3898	1.3898	1.389764	1.3898	1.395052	1.3898
0.84	1.40024	1.401888	1.4016	1.4016	1.400512	1.3999	1.408512	1.4016
0.85	1.407	1.41714	1.4088	1.4088	1.40808	1.4088	1.41436	1.4227
0.86	1.42381	1.426464	1.4264	1.4264	1.424328	1.4227	1.426736	1.4264
0.87	1.42674	1.427088	1.4268	1.4268	1.426792	1.4268	1.426912	1.4272
0.88	1.43004	1.434468	1.4343	1.4343	1.430892	1.4272	1.434732	1.4343
0.89	1.43487	1.43658	1.4349	1.4349	1.43502	1.4349	1.43522	1.4369
0.9	1.43785	1.44096	1.4388	1.4388	1.43804	1.4388	1.44204	1.4388
0.91	1.4448	1.45572	1.4562	1.4562	1.44588	1.4442	1.44468	1.4562
0.92	1.45668	1.459288	1.457	1.457	1.456744	1.457	1.459112	1.4614
0.93	1.46245	1.468672	1.4684	1.4684	1.46294	1.4614	1.471528	1.4684
0.94	1.47078	1.47372	1.4718	1.4718	1.470984	1.4718	1.47288	1.4748
0.95	1.4765	1.48356	1.4816	1.4816	1.47684	1.4748	1.48944	1.4816
0.96	1.48944	1.496036	1.4914	1.4914	1.489832	1.4914	1.492864	1.4975
0.97	1.51682	1.553532	1.5527	1.5527	1.518476	1.4975	1.554468	1.5527
0.98	1.55504	1.555652	1.5553	1.5553	1.555092	1.5553	1.555348	1.5557
0.99	1.564385	1.57588	1.575	1.575	1.564578	1.5557	1.57612	1.575

\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 & 0.8543 & 0.85432 & 0.8552 & 0.8552 & 0.855848 & 0.8552 & 0.85408 & 0.8552 \tabularnewline
0.02 & 0.85683 & 0.856916 & 0.8607 & 0.8607 & 0.861444 & 0.8564 & 0.860184 & 0.8564 \tabularnewline
0.03 & 0.866745 & 0.867024 & 0.87 & 0.87 & 0.871302 & 0.87 & 0.863676 & 0.87 \tabularnewline
0.04 & 0.87252 & 0.872604 & 0.8742 & 0.8742 & 0.874456 & 0.8721 & 0.873696 & 0.8721 \tabularnewline
0.05 & 0.8754 & 0.87548 & 0.8758 & 0.8758 & 0.88105 & 0.8758 & 0.87452 & 0.8758 \tabularnewline
0.06 & 0.88405 & 0.8842 & 0.8858 & 0.8858 & 0.8864 & 0.8833 & 0.8849 & 0.8833 \tabularnewline
0.07 & 0.887925 & 0.8881 & 0.8883 & 0.8883 & 0.891186 & 0.8883 & 0.886 & 0.8883 \tabularnewline
0.08 & 0.89216 & 0.892192 & 0.8924 & 0.8924 & 0.893968 & 0.892 & 0.892208 & 0.892 \tabularnewline
0.09 & 0.897055 & 0.897428 & 0.8973 & 0.8973 & 0.900052 & 0.8973 & 0.900372 & 0.8973 \tabularnewline
0.1 & 0.9023 & 0.90266 & 0.9041 & 0.9041 & 0.90482 & 0.9041 & 0.90194 & 0.9041 \tabularnewline
0.11 & 0.905905 & 0.905916 & 0.906 & 0.906 & 0.905994 & 0.9059 & 0.905984 & 0.9059 \tabularnewline
0.12 & 0.9081 & 0.90852 & 0.9095 & 0.9095 & 0.910268 & 0.9095 & 0.90698 & 0.9095 \tabularnewline
0.13 & 0.911985 & 0.912752 & 0.917 & 0.917 & 0.917094 & 0.9111 & 0.915348 & 0.9111 \tabularnewline
0.14 & 0.92029 & 0.920948 & 0.9217 & 0.9217 & 0.930996 & 0.9217 & 0.917752 & 0.9217 \tabularnewline
0.15 & 0.93865 & 0.93886 & 0.9397 & 0.9397 & 0.94043 & 0.9383 & 0.93914 & 0.9383 \tabularnewline
0.16 & 0.94554 & 0.946708 & 0.947 & 0.947 & 0.948408 & 0.947 & 0.939992 & 0.947 \tabularnewline
0.17 & 0.95137 & 0.952424 & 0.9554 & 0.9554 & 0.957002 & 0.9492 & 0.952176 & 0.9554 \tabularnewline
0.18 & 0.96341 & 0.96538 & 0.9643 & 0.9643 & 0.97402 & 0.9643 & 0.97672 & 0.9643 \tabularnewline
0.19 & 0.97915 & 0.97972 & 0.9808 & 0.9808 & 0.980878 & 0.9778 & 0.97888 & 0.9808 \tabularnewline
0.2 & 0.9811 & 0.98156 & 0.9811 & 0.98225 & 0.98294 & 0.9811 & 0.98294 & 0.9811 \tabularnewline
0.21 & 0.98824 & 0.990088 & 0.9922 & 0.9922 & 0.995328 & 0.9922 & 0.985512 & 0.9922 \tabularnewline
0.22 & 1.00263 & 1.005336 & 1.0137 & 1.0137 & 1.012224 & 1.0014 & 1.009764 & 1.0014 \tabularnewline
0.23 & 1.01669 & 1.017748 & 1.0183 & 1.0183 & 1.036738 & 1.0183 & 1.014252 & 1.0183 \tabularnewline
0.24 & 1.06522 & 1.068844 & 1.0773 & 1.0773 & 1.076696 & 1.0622 & 1.070656 & 1.0622 \tabularnewline
0.25 & 1.07985 & 1.0807 & 1.0807 & 1.0807 & 1.08275 & 1.0807 & 1.0807 & 1.0807 \tabularnewline
0.26 & 1.09353 & 1.101096 & 1.1139 & 1.1139 & 1.114232 & 1.0848 & 1.097604 & 1.1139 \tabularnewline
0.27 & 1.120955 & 1.124 & 1.1222 & 1.1222 & 1.1309 & 1.1222 & 1.1354 & 1.1222 \tabularnewline
0.28 & 1.1456 & 1.15148 & 1.1582 & 1.1582 & 1.159172 & 1.1372 & 1.14392 & 1.1582 \tabularnewline
0.29 & 1.165895 & 1.166996 & 1.1663 & 1.1663 & 1.168214 & 1.1663 & 1.168504 & 1.1663 \tabularnewline
0.3 & 1.1697 & 1.17 & 1.1702 & 1.1702 & 1.17188 & 1.1702 & 1.1694 & 1.1702 \tabularnewline
0.31 & 1.17895 & 1.18112 & 1.1856 & 1.1856 & 1.18378 & 1.1786 & 1.18308 & 1.1786 \tabularnewline
0.32 & 1.19052 & 1.193144 & 1.1938 & 1.1938 & 1.195116 & 1.1938 & 1.186256 & 1.1938 \tabularnewline
0.33 & 1.19883 & 1.199556 & 1.2007 & 1.2007 & 1.200304 & 1.1985 & 1.199644 & 1.1985 \tabularnewline
0.34 & 1.20126 & 1.20152 & 1.2015 & 1.2015 & 1.20168 & 1.2015 & 1.20198 & 1.2015 \tabularnewline
0.35 & 1.202425 & 1.20302 & 1.2037 & 1.2037 & 1.20353 & 1.202 & 1.20268 & 1.2037 \tabularnewline
0.36 & 1.20898 & 1.21086 & 1.2103 & 1.2103 & 1.21184 & 1.2103 & 1.21324 & 1.2103 \tabularnewline
0.37 & 1.214745 & 1.215744 & 1.2165 & 1.2165 & 1.216446 & 1.2138 & 1.214556 & 1.2165 \tabularnewline
0.38 & 1.21749 & 1.218496 & 1.2176 & 1.2176 & 1.219264 & 1.2176 & 1.219904 & 1.2176 \tabularnewline
0.39 & 1.22125 & 1.22164 & 1.2218 & 1.2218 & 1.222028 & 1.2208 & 1.22096 & 1.2218 \tabularnewline
0.4 & 1.2256 & 1.22584 & 1.2256 & 1.2259 & 1.22596 & 1.2256 & 1.22596 & 1.2256 \tabularnewline
0.41 & 1.22642 & 1.226584 & 1.2266 & 1.2266 & 1.22667 & 1.2266 & 1.226216 & 1.2266 \tabularnewline
0.42 & 1.22725 & 1.22788 & 1.2286 & 1.2286 & 1.22812 & 1.2271 & 1.22782 & 1.2286 \tabularnewline
0.43 & 1.22873 & 1.228832 & 1.2288 & 1.2288 & 1.228888 & 1.2288 & 1.229168 & 1.2288 \tabularnewline
0.44 & 1.23136 & 1.236112 & 1.24 & 1.24 & 1.237408 & 1.2292 & 1.233088 & 1.24 \tabularnewline
0.45 & 1.24675 & 1.24972 & 1.249 & 1.249 & 1.25008 & 1.249 & 1.25188 & 1.249 \tabularnewline
0.46 & 1.25377 & 1.255564 & 1.2565 & 1.2565 & 1.255876 & 1.2526 & 1.253536 & 1.2565 \tabularnewline
0.47 & 1.26041 & 1.261164 & 1.2611 & 1.2611 & 1.261176 & 1.2611 & 1.261236 & 1.2611 \tabularnewline
0.48 & 1.26262 & 1.264204 & 1.2646 & 1.2646 & 1.264336 & 1.2613 & 1.261696 & 1.2646 \tabularnewline
0.49 & 1.26498 & 1.266496 & 1.265 & 1.265 & 1.266564 & 1.265 & 1.266904 & 1.265 \tabularnewline
0.5 & 1.2689 & 1.2694 & 1.2694 & 1.2694 & 1.2694 & 1.2694 & 1.2694 & 1.2694 \tabularnewline
0.51 & 1.272725 & 1.27298 & 1.2732 & 1.2732 & 1.27297 & 1.2727 & 1.27292 & 1.2732 \tabularnewline
0.52 & 1.27548 & 1.277 & 1.277 & 1.277 & 1.277 & 1.277 & 1.277 & 1.277 \tabularnewline
0.53 & 1.277225 & 1.27802 & 1.2785 & 1.2785 & 1.27793 & 1.277 & 1.27748 & 1.2785 \tabularnewline
0.54 & 1.27878 & 1.279428 & 1.2789 & 1.2789 & 1.279252 & 1.2789 & 1.280572 & 1.2789 \tabularnewline
0.55 & 1.281525 & 1.28246 & 1.2828 & 1.2828 & 1.28229 & 1.2811 & 1.28144 & 1.2828 \tabularnewline
0.56 & 1.28504 & 1.2865 & 1.2856 & 1.2856 & 1.2862 & 1.2856 & 1.2872 & 1.2856 \tabularnewline
0.57 & 1.288555 & 1.289296 & 1.2894 & 1.2894 & 1.289114 & 1.2881 & 1.288204 & 1.2894 \tabularnewline
0.58 & 1.29039 & 1.292084 & 1.2905 & 1.2905 & 1.291556 & 1.2905 & 1.292216 & 1.2905 \tabularnewline
0.59 & 1.29542 & 1.297468 & 1.2974 & 1.2974 & 1.296896 & 1.2938 & 1.299032 & 1.2974 \tabularnewline
0.6 & 1.2991 & 1.29958 & 1.2991 & 1.2995 & 1.29942 & 1.2991 & 1.29942 & 1.2999 \tabularnewline
0.61 & 1.300725 & 1.301976 & 1.3014 & 1.3014 & 1.30131 & 1.3014 & 1.304424 & 1.3014 \tabularnewline
0.62 & 1.30517 & 1.306224 & 1.3067 & 1.3067 & 1.305816 & 1.305 & 1.305476 & 1.3067 \tabularnewline
0.63 & 1.307155 & 1.30866 & 1.3074 & 1.3074 & 1.30749 & 1.3074 & 1.31064 & 1.3074 \tabularnewline
0.64 & 1.31276 & 1.315512 & 1.3162 & 1.3162 & 1.314308 & 1.3119 & 1.312588 & 1.3162 \tabularnewline
0.65 & 1.317475 & 1.31834 & 1.3179 & 1.3179 & 1.31801 & 1.3179 & 1.31856 & 1.3179 \tabularnewline
0.66 & 1.31933 & 1.320056 & 1.3201 & 1.3201 & 1.319704 & 1.319 & 1.319044 & 1.3201 \tabularnewline
0.67 & 1.3201 & 1.320724 & 1.3201 & 1.3201 & 1.320316 & 1.3201 & 1.320676 & 1.3213 \tabularnewline
0.68 & 1.32158 & 1.322032 & 1.322 & 1.322 & 1.321804 & 1.3213 & 1.322368 & 1.322 \tabularnewline
0.69 & 1.32238 & 1.32336 & 1.3224 & 1.3224 & 1.32279 & 1.3224 & 1.32294 & 1.3239 \tabularnewline
0.7 & 1.32405 & 1.3258 & 1.3242 & 1.3242 & 1.32414 & 1.3242 & 1.3306 & 1.3242 \tabularnewline
0.71 & 1.33239 & 1.335088 & 1.336 & 1.336 & 1.333492 & 1.3322 & 1.333112 & 1.336 \tabularnewline
0.72 & 1.33876 & 1.340664 & 1.3406 & 1.3406 & 1.340048 & 1.3406 & 1.340736 & 1.3406 \tabularnewline
0.73 & 1.340965 & 1.341768 & 1.3419 & 1.3419 & 1.341262 & 1.3408 & 1.340932 & 1.3419 \tabularnewline
0.74 & 1.344 & 1.347628 & 1.3449 & 1.3449 & 1.34478 & 1.3449 & 1.348372 & 1.3449 \tabularnewline
0.75 & 1.351225 & 1.3516 & 1.3516 & 1.3516 & 1.35135 & 1.3511 & 1.3516 & 1.3516 \tabularnewline
0.76 & 1.3548 & 1.356328 & 1.3556 & 1.3556 & 1.355652 & 1.3556 & 1.356172 & 1.3569 \tabularnewline
0.77 & 1.358755 & 1.362524 & 1.3622 & 1.3622 & 1.359974 & 1.3569 & 1.364576 & 1.3622 \tabularnewline
0.78 & 1.36463 & 1.364968 & 1.3649 & 1.3649 & 1.364912 & 1.3649 & 1.364932 & 1.365 \tabularnewline
0.79 & 1.365495 & 1.3667 & 1.3661 & 1.3661 & 1.365726 & 1.365 & 1.368 & 1.3661 \tabularnewline
0.8 & 1.3686 & 1.3702 & 1.3686 & 1.3696 & 1.369 & 1.3686 & 1.369 & 1.3706 \tabularnewline
0.81 & 1.37115 & 1.373544 & 1.3716 & 1.3716 & 1.37134 & 1.3716 & 1.375056 & 1.3716 \tabularnewline
0.82 & 1.37826 & 1.388592 & 1.3896 & 1.3896 & 1.380528 & 1.377 & 1.378008 & 1.3896 \tabularnewline
0.83 & 1.38973 & 1.394648 & 1.3898 & 1.3898 & 1.389764 & 1.3898 & 1.395052 & 1.3898 \tabularnewline
0.84 & 1.40024 & 1.401888 & 1.4016 & 1.4016 & 1.400512 & 1.3999 & 1.408512 & 1.4016 \tabularnewline
0.85 & 1.407 & 1.41714 & 1.4088 & 1.4088 & 1.40808 & 1.4088 & 1.41436 & 1.4227 \tabularnewline
0.86 & 1.42381 & 1.426464 & 1.4264 & 1.4264 & 1.424328 & 1.4227 & 1.426736 & 1.4264 \tabularnewline
0.87 & 1.42674 & 1.427088 & 1.4268 & 1.4268 & 1.426792 & 1.4268 & 1.426912 & 1.4272 \tabularnewline
0.88 & 1.43004 & 1.434468 & 1.4343 & 1.4343 & 1.430892 & 1.4272 & 1.434732 & 1.4343 \tabularnewline
0.89 & 1.43487 & 1.43658 & 1.4349 & 1.4349 & 1.43502 & 1.4349 & 1.43522 & 1.4369 \tabularnewline
0.9 & 1.43785 & 1.44096 & 1.4388 & 1.4388 & 1.43804 & 1.4388 & 1.44204 & 1.4388 \tabularnewline
0.91 & 1.4448 & 1.45572 & 1.4562 & 1.4562 & 1.44588 & 1.4442 & 1.44468 & 1.4562 \tabularnewline
0.92 & 1.45668 & 1.459288 & 1.457 & 1.457 & 1.456744 & 1.457 & 1.459112 & 1.4614 \tabularnewline
0.93 & 1.46245 & 1.468672 & 1.4684 & 1.4684 & 1.46294 & 1.4614 & 1.471528 & 1.4684 \tabularnewline
0.94 & 1.47078 & 1.47372 & 1.4718 & 1.4718 & 1.470984 & 1.4718 & 1.47288 & 1.4748 \tabularnewline
0.95 & 1.4765 & 1.48356 & 1.4816 & 1.4816 & 1.47684 & 1.4748 & 1.48944 & 1.4816 \tabularnewline
0.96 & 1.48944 & 1.496036 & 1.4914 & 1.4914 & 1.489832 & 1.4914 & 1.492864 & 1.4975 \tabularnewline
0.97 & 1.51682 & 1.553532 & 1.5527 & 1.5527 & 1.518476 & 1.4975 & 1.554468 & 1.5527 \tabularnewline
0.98 & 1.55504 & 1.555652 & 1.5553 & 1.5553 & 1.555092 & 1.5553 & 1.555348 & 1.5557 \tabularnewline
0.99 & 1.564385 & 1.57588 & 1.575 & 1.575 & 1.564578 & 1.5557 & 1.57612 & 1.575 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196395&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]0.8543[/C][C]0.85432[/C][C]0.8552[/C][C]0.8552[/C][C]0.855848[/C][C]0.8552[/C][C]0.85408[/C][C]0.8552[/C][/ROW]
[ROW][C]0.02[/C][C]0.85683[/C][C]0.856916[/C][C]0.8607[/C][C]0.8607[/C][C]0.861444[/C][C]0.8564[/C][C]0.860184[/C][C]0.8564[/C][/ROW]
[ROW][C]0.03[/C][C]0.866745[/C][C]0.867024[/C][C]0.87[/C][C]0.87[/C][C]0.871302[/C][C]0.87[/C][C]0.863676[/C][C]0.87[/C][/ROW]
[ROW][C]0.04[/C][C]0.87252[/C][C]0.872604[/C][C]0.8742[/C][C]0.8742[/C][C]0.874456[/C][C]0.8721[/C][C]0.873696[/C][C]0.8721[/C][/ROW]
[ROW][C]0.05[/C][C]0.8754[/C][C]0.87548[/C][C]0.8758[/C][C]0.8758[/C][C]0.88105[/C][C]0.8758[/C][C]0.87452[/C][C]0.8758[/C][/ROW]
[ROW][C]0.06[/C][C]0.88405[/C][C]0.8842[/C][C]0.8858[/C][C]0.8858[/C][C]0.8864[/C][C]0.8833[/C][C]0.8849[/C][C]0.8833[/C][/ROW]
[ROW][C]0.07[/C][C]0.887925[/C][C]0.8881[/C][C]0.8883[/C][C]0.8883[/C][C]0.891186[/C][C]0.8883[/C][C]0.886[/C][C]0.8883[/C][/ROW]
[ROW][C]0.08[/C][C]0.89216[/C][C]0.892192[/C][C]0.8924[/C][C]0.8924[/C][C]0.893968[/C][C]0.892[/C][C]0.892208[/C][C]0.892[/C][/ROW]
[ROW][C]0.09[/C][C]0.897055[/C][C]0.897428[/C][C]0.8973[/C][C]0.8973[/C][C]0.900052[/C][C]0.8973[/C][C]0.900372[/C][C]0.8973[/C][/ROW]
[ROW][C]0.1[/C][C]0.9023[/C][C]0.90266[/C][C]0.9041[/C][C]0.9041[/C][C]0.90482[/C][C]0.9041[/C][C]0.90194[/C][C]0.9041[/C][/ROW]
[ROW][C]0.11[/C][C]0.905905[/C][C]0.905916[/C][C]0.906[/C][C]0.906[/C][C]0.905994[/C][C]0.9059[/C][C]0.905984[/C][C]0.9059[/C][/ROW]
[ROW][C]0.12[/C][C]0.9081[/C][C]0.90852[/C][C]0.9095[/C][C]0.9095[/C][C]0.910268[/C][C]0.9095[/C][C]0.90698[/C][C]0.9095[/C][/ROW]
[ROW][C]0.13[/C][C]0.911985[/C][C]0.912752[/C][C]0.917[/C][C]0.917[/C][C]0.917094[/C][C]0.9111[/C][C]0.915348[/C][C]0.9111[/C][/ROW]
[ROW][C]0.14[/C][C]0.92029[/C][C]0.920948[/C][C]0.9217[/C][C]0.9217[/C][C]0.930996[/C][C]0.9217[/C][C]0.917752[/C][C]0.9217[/C][/ROW]
[ROW][C]0.15[/C][C]0.93865[/C][C]0.93886[/C][C]0.9397[/C][C]0.9397[/C][C]0.94043[/C][C]0.9383[/C][C]0.93914[/C][C]0.9383[/C][/ROW]
[ROW][C]0.16[/C][C]0.94554[/C][C]0.946708[/C][C]0.947[/C][C]0.947[/C][C]0.948408[/C][C]0.947[/C][C]0.939992[/C][C]0.947[/C][/ROW]
[ROW][C]0.17[/C][C]0.95137[/C][C]0.952424[/C][C]0.9554[/C][C]0.9554[/C][C]0.957002[/C][C]0.9492[/C][C]0.952176[/C][C]0.9554[/C][/ROW]
[ROW][C]0.18[/C][C]0.96341[/C][C]0.96538[/C][C]0.9643[/C][C]0.9643[/C][C]0.97402[/C][C]0.9643[/C][C]0.97672[/C][C]0.9643[/C][/ROW]
[ROW][C]0.19[/C][C]0.97915[/C][C]0.97972[/C][C]0.9808[/C][C]0.9808[/C][C]0.980878[/C][C]0.9778[/C][C]0.97888[/C][C]0.9808[/C][/ROW]
[ROW][C]0.2[/C][C]0.9811[/C][C]0.98156[/C][C]0.9811[/C][C]0.98225[/C][C]0.98294[/C][C]0.9811[/C][C]0.98294[/C][C]0.9811[/C][/ROW]
[ROW][C]0.21[/C][C]0.98824[/C][C]0.990088[/C][C]0.9922[/C][C]0.9922[/C][C]0.995328[/C][C]0.9922[/C][C]0.985512[/C][C]0.9922[/C][/ROW]
[ROW][C]0.22[/C][C]1.00263[/C][C]1.005336[/C][C]1.0137[/C][C]1.0137[/C][C]1.012224[/C][C]1.0014[/C][C]1.009764[/C][C]1.0014[/C][/ROW]
[ROW][C]0.23[/C][C]1.01669[/C][C]1.017748[/C][C]1.0183[/C][C]1.0183[/C][C]1.036738[/C][C]1.0183[/C][C]1.014252[/C][C]1.0183[/C][/ROW]
[ROW][C]0.24[/C][C]1.06522[/C][C]1.068844[/C][C]1.0773[/C][C]1.0773[/C][C]1.076696[/C][C]1.0622[/C][C]1.070656[/C][C]1.0622[/C][/ROW]
[ROW][C]0.25[/C][C]1.07985[/C][C]1.0807[/C][C]1.0807[/C][C]1.0807[/C][C]1.08275[/C][C]1.0807[/C][C]1.0807[/C][C]1.0807[/C][/ROW]
[ROW][C]0.26[/C][C]1.09353[/C][C]1.101096[/C][C]1.1139[/C][C]1.1139[/C][C]1.114232[/C][C]1.0848[/C][C]1.097604[/C][C]1.1139[/C][/ROW]
[ROW][C]0.27[/C][C]1.120955[/C][C]1.124[/C][C]1.1222[/C][C]1.1222[/C][C]1.1309[/C][C]1.1222[/C][C]1.1354[/C][C]1.1222[/C][/ROW]
[ROW][C]0.28[/C][C]1.1456[/C][C]1.15148[/C][C]1.1582[/C][C]1.1582[/C][C]1.159172[/C][C]1.1372[/C][C]1.14392[/C][C]1.1582[/C][/ROW]
[ROW][C]0.29[/C][C]1.165895[/C][C]1.166996[/C][C]1.1663[/C][C]1.1663[/C][C]1.168214[/C][C]1.1663[/C][C]1.168504[/C][C]1.1663[/C][/ROW]
[ROW][C]0.3[/C][C]1.1697[/C][C]1.17[/C][C]1.1702[/C][C]1.1702[/C][C]1.17188[/C][C]1.1702[/C][C]1.1694[/C][C]1.1702[/C][/ROW]
[ROW][C]0.31[/C][C]1.17895[/C][C]1.18112[/C][C]1.1856[/C][C]1.1856[/C][C]1.18378[/C][C]1.1786[/C][C]1.18308[/C][C]1.1786[/C][/ROW]
[ROW][C]0.32[/C][C]1.19052[/C][C]1.193144[/C][C]1.1938[/C][C]1.1938[/C][C]1.195116[/C][C]1.1938[/C][C]1.186256[/C][C]1.1938[/C][/ROW]
[ROW][C]0.33[/C][C]1.19883[/C][C]1.199556[/C][C]1.2007[/C][C]1.2007[/C][C]1.200304[/C][C]1.1985[/C][C]1.199644[/C][C]1.1985[/C][/ROW]
[ROW][C]0.34[/C][C]1.20126[/C][C]1.20152[/C][C]1.2015[/C][C]1.2015[/C][C]1.20168[/C][C]1.2015[/C][C]1.20198[/C][C]1.2015[/C][/ROW]
[ROW][C]0.35[/C][C]1.202425[/C][C]1.20302[/C][C]1.2037[/C][C]1.2037[/C][C]1.20353[/C][C]1.202[/C][C]1.20268[/C][C]1.2037[/C][/ROW]
[ROW][C]0.36[/C][C]1.20898[/C][C]1.21086[/C][C]1.2103[/C][C]1.2103[/C][C]1.21184[/C][C]1.2103[/C][C]1.21324[/C][C]1.2103[/C][/ROW]
[ROW][C]0.37[/C][C]1.214745[/C][C]1.215744[/C][C]1.2165[/C][C]1.2165[/C][C]1.216446[/C][C]1.2138[/C][C]1.214556[/C][C]1.2165[/C][/ROW]
[ROW][C]0.38[/C][C]1.21749[/C][C]1.218496[/C][C]1.2176[/C][C]1.2176[/C][C]1.219264[/C][C]1.2176[/C][C]1.219904[/C][C]1.2176[/C][/ROW]
[ROW][C]0.39[/C][C]1.22125[/C][C]1.22164[/C][C]1.2218[/C][C]1.2218[/C][C]1.222028[/C][C]1.2208[/C][C]1.22096[/C][C]1.2218[/C][/ROW]
[ROW][C]0.4[/C][C]1.2256[/C][C]1.22584[/C][C]1.2256[/C][C]1.2259[/C][C]1.22596[/C][C]1.2256[/C][C]1.22596[/C][C]1.2256[/C][/ROW]
[ROW][C]0.41[/C][C]1.22642[/C][C]1.226584[/C][C]1.2266[/C][C]1.2266[/C][C]1.22667[/C][C]1.2266[/C][C]1.226216[/C][C]1.2266[/C][/ROW]
[ROW][C]0.42[/C][C]1.22725[/C][C]1.22788[/C][C]1.2286[/C][C]1.2286[/C][C]1.22812[/C][C]1.2271[/C][C]1.22782[/C][C]1.2286[/C][/ROW]
[ROW][C]0.43[/C][C]1.22873[/C][C]1.228832[/C][C]1.2288[/C][C]1.2288[/C][C]1.228888[/C][C]1.2288[/C][C]1.229168[/C][C]1.2288[/C][/ROW]
[ROW][C]0.44[/C][C]1.23136[/C][C]1.236112[/C][C]1.24[/C][C]1.24[/C][C]1.237408[/C][C]1.2292[/C][C]1.233088[/C][C]1.24[/C][/ROW]
[ROW][C]0.45[/C][C]1.24675[/C][C]1.24972[/C][C]1.249[/C][C]1.249[/C][C]1.25008[/C][C]1.249[/C][C]1.25188[/C][C]1.249[/C][/ROW]
[ROW][C]0.46[/C][C]1.25377[/C][C]1.255564[/C][C]1.2565[/C][C]1.2565[/C][C]1.255876[/C][C]1.2526[/C][C]1.253536[/C][C]1.2565[/C][/ROW]
[ROW][C]0.47[/C][C]1.26041[/C][C]1.261164[/C][C]1.2611[/C][C]1.2611[/C][C]1.261176[/C][C]1.2611[/C][C]1.261236[/C][C]1.2611[/C][/ROW]
[ROW][C]0.48[/C][C]1.26262[/C][C]1.264204[/C][C]1.2646[/C][C]1.2646[/C][C]1.264336[/C][C]1.2613[/C][C]1.261696[/C][C]1.2646[/C][/ROW]
[ROW][C]0.49[/C][C]1.26498[/C][C]1.266496[/C][C]1.265[/C][C]1.265[/C][C]1.266564[/C][C]1.265[/C][C]1.266904[/C][C]1.265[/C][/ROW]
[ROW][C]0.5[/C][C]1.2689[/C][C]1.2694[/C][C]1.2694[/C][C]1.2694[/C][C]1.2694[/C][C]1.2694[/C][C]1.2694[/C][C]1.2694[/C][/ROW]
[ROW][C]0.51[/C][C]1.272725[/C][C]1.27298[/C][C]1.2732[/C][C]1.2732[/C][C]1.27297[/C][C]1.2727[/C][C]1.27292[/C][C]1.2732[/C][/ROW]
[ROW][C]0.52[/C][C]1.27548[/C][C]1.277[/C][C]1.277[/C][C]1.277[/C][C]1.277[/C][C]1.277[/C][C]1.277[/C][C]1.277[/C][/ROW]
[ROW][C]0.53[/C][C]1.277225[/C][C]1.27802[/C][C]1.2785[/C][C]1.2785[/C][C]1.27793[/C][C]1.277[/C][C]1.27748[/C][C]1.2785[/C][/ROW]
[ROW][C]0.54[/C][C]1.27878[/C][C]1.279428[/C][C]1.2789[/C][C]1.2789[/C][C]1.279252[/C][C]1.2789[/C][C]1.280572[/C][C]1.2789[/C][/ROW]
[ROW][C]0.55[/C][C]1.281525[/C][C]1.28246[/C][C]1.2828[/C][C]1.2828[/C][C]1.28229[/C][C]1.2811[/C][C]1.28144[/C][C]1.2828[/C][/ROW]
[ROW][C]0.56[/C][C]1.28504[/C][C]1.2865[/C][C]1.2856[/C][C]1.2856[/C][C]1.2862[/C][C]1.2856[/C][C]1.2872[/C][C]1.2856[/C][/ROW]
[ROW][C]0.57[/C][C]1.288555[/C][C]1.289296[/C][C]1.2894[/C][C]1.2894[/C][C]1.289114[/C][C]1.2881[/C][C]1.288204[/C][C]1.2894[/C][/ROW]
[ROW][C]0.58[/C][C]1.29039[/C][C]1.292084[/C][C]1.2905[/C][C]1.2905[/C][C]1.291556[/C][C]1.2905[/C][C]1.292216[/C][C]1.2905[/C][/ROW]
[ROW][C]0.59[/C][C]1.29542[/C][C]1.297468[/C][C]1.2974[/C][C]1.2974[/C][C]1.296896[/C][C]1.2938[/C][C]1.299032[/C][C]1.2974[/C][/ROW]
[ROW][C]0.6[/C][C]1.2991[/C][C]1.29958[/C][C]1.2991[/C][C]1.2995[/C][C]1.29942[/C][C]1.2991[/C][C]1.29942[/C][C]1.2999[/C][/ROW]
[ROW][C]0.61[/C][C]1.300725[/C][C]1.301976[/C][C]1.3014[/C][C]1.3014[/C][C]1.30131[/C][C]1.3014[/C][C]1.304424[/C][C]1.3014[/C][/ROW]
[ROW][C]0.62[/C][C]1.30517[/C][C]1.306224[/C][C]1.3067[/C][C]1.3067[/C][C]1.305816[/C][C]1.305[/C][C]1.305476[/C][C]1.3067[/C][/ROW]
[ROW][C]0.63[/C][C]1.307155[/C][C]1.30866[/C][C]1.3074[/C][C]1.3074[/C][C]1.30749[/C][C]1.3074[/C][C]1.31064[/C][C]1.3074[/C][/ROW]
[ROW][C]0.64[/C][C]1.31276[/C][C]1.315512[/C][C]1.3162[/C][C]1.3162[/C][C]1.314308[/C][C]1.3119[/C][C]1.312588[/C][C]1.3162[/C][/ROW]
[ROW][C]0.65[/C][C]1.317475[/C][C]1.31834[/C][C]1.3179[/C][C]1.3179[/C][C]1.31801[/C][C]1.3179[/C][C]1.31856[/C][C]1.3179[/C][/ROW]
[ROW][C]0.66[/C][C]1.31933[/C][C]1.320056[/C][C]1.3201[/C][C]1.3201[/C][C]1.319704[/C][C]1.319[/C][C]1.319044[/C][C]1.3201[/C][/ROW]
[ROW][C]0.67[/C][C]1.3201[/C][C]1.320724[/C][C]1.3201[/C][C]1.3201[/C][C]1.320316[/C][C]1.3201[/C][C]1.320676[/C][C]1.3213[/C][/ROW]
[ROW][C]0.68[/C][C]1.32158[/C][C]1.322032[/C][C]1.322[/C][C]1.322[/C][C]1.321804[/C][C]1.3213[/C][C]1.322368[/C][C]1.322[/C][/ROW]
[ROW][C]0.69[/C][C]1.32238[/C][C]1.32336[/C][C]1.3224[/C][C]1.3224[/C][C]1.32279[/C][C]1.3224[/C][C]1.32294[/C][C]1.3239[/C][/ROW]
[ROW][C]0.7[/C][C]1.32405[/C][C]1.3258[/C][C]1.3242[/C][C]1.3242[/C][C]1.32414[/C][C]1.3242[/C][C]1.3306[/C][C]1.3242[/C][/ROW]
[ROW][C]0.71[/C][C]1.33239[/C][C]1.335088[/C][C]1.336[/C][C]1.336[/C][C]1.333492[/C][C]1.3322[/C][C]1.333112[/C][C]1.336[/C][/ROW]
[ROW][C]0.72[/C][C]1.33876[/C][C]1.340664[/C][C]1.3406[/C][C]1.3406[/C][C]1.340048[/C][C]1.3406[/C][C]1.340736[/C][C]1.3406[/C][/ROW]
[ROW][C]0.73[/C][C]1.340965[/C][C]1.341768[/C][C]1.3419[/C][C]1.3419[/C][C]1.341262[/C][C]1.3408[/C][C]1.340932[/C][C]1.3419[/C][/ROW]
[ROW][C]0.74[/C][C]1.344[/C][C]1.347628[/C][C]1.3449[/C][C]1.3449[/C][C]1.34478[/C][C]1.3449[/C][C]1.348372[/C][C]1.3449[/C][/ROW]
[ROW][C]0.75[/C][C]1.351225[/C][C]1.3516[/C][C]1.3516[/C][C]1.3516[/C][C]1.35135[/C][C]1.3511[/C][C]1.3516[/C][C]1.3516[/C][/ROW]
[ROW][C]0.76[/C][C]1.3548[/C][C]1.356328[/C][C]1.3556[/C][C]1.3556[/C][C]1.355652[/C][C]1.3556[/C][C]1.356172[/C][C]1.3569[/C][/ROW]
[ROW][C]0.77[/C][C]1.358755[/C][C]1.362524[/C][C]1.3622[/C][C]1.3622[/C][C]1.359974[/C][C]1.3569[/C][C]1.364576[/C][C]1.3622[/C][/ROW]
[ROW][C]0.78[/C][C]1.36463[/C][C]1.364968[/C][C]1.3649[/C][C]1.3649[/C][C]1.364912[/C][C]1.3649[/C][C]1.364932[/C][C]1.365[/C][/ROW]
[ROW][C]0.79[/C][C]1.365495[/C][C]1.3667[/C][C]1.3661[/C][C]1.3661[/C][C]1.365726[/C][C]1.365[/C][C]1.368[/C][C]1.3661[/C][/ROW]
[ROW][C]0.8[/C][C]1.3686[/C][C]1.3702[/C][C]1.3686[/C][C]1.3696[/C][C]1.369[/C][C]1.3686[/C][C]1.369[/C][C]1.3706[/C][/ROW]
[ROW][C]0.81[/C][C]1.37115[/C][C]1.373544[/C][C]1.3716[/C][C]1.3716[/C][C]1.37134[/C][C]1.3716[/C][C]1.375056[/C][C]1.3716[/C][/ROW]
[ROW][C]0.82[/C][C]1.37826[/C][C]1.388592[/C][C]1.3896[/C][C]1.3896[/C][C]1.380528[/C][C]1.377[/C][C]1.378008[/C][C]1.3896[/C][/ROW]
[ROW][C]0.83[/C][C]1.38973[/C][C]1.394648[/C][C]1.3898[/C][C]1.3898[/C][C]1.389764[/C][C]1.3898[/C][C]1.395052[/C][C]1.3898[/C][/ROW]
[ROW][C]0.84[/C][C]1.40024[/C][C]1.401888[/C][C]1.4016[/C][C]1.4016[/C][C]1.400512[/C][C]1.3999[/C][C]1.408512[/C][C]1.4016[/C][/ROW]
[ROW][C]0.85[/C][C]1.407[/C][C]1.41714[/C][C]1.4088[/C][C]1.4088[/C][C]1.40808[/C][C]1.4088[/C][C]1.41436[/C][C]1.4227[/C][/ROW]
[ROW][C]0.86[/C][C]1.42381[/C][C]1.426464[/C][C]1.4264[/C][C]1.4264[/C][C]1.424328[/C][C]1.4227[/C][C]1.426736[/C][C]1.4264[/C][/ROW]
[ROW][C]0.87[/C][C]1.42674[/C][C]1.427088[/C][C]1.4268[/C][C]1.4268[/C][C]1.426792[/C][C]1.4268[/C][C]1.426912[/C][C]1.4272[/C][/ROW]
[ROW][C]0.88[/C][C]1.43004[/C][C]1.434468[/C][C]1.4343[/C][C]1.4343[/C][C]1.430892[/C][C]1.4272[/C][C]1.434732[/C][C]1.4343[/C][/ROW]
[ROW][C]0.89[/C][C]1.43487[/C][C]1.43658[/C][C]1.4349[/C][C]1.4349[/C][C]1.43502[/C][C]1.4349[/C][C]1.43522[/C][C]1.4369[/C][/ROW]
[ROW][C]0.9[/C][C]1.43785[/C][C]1.44096[/C][C]1.4388[/C][C]1.4388[/C][C]1.43804[/C][C]1.4388[/C][C]1.44204[/C][C]1.4388[/C][/ROW]
[ROW][C]0.91[/C][C]1.4448[/C][C]1.45572[/C][C]1.4562[/C][C]1.4562[/C][C]1.44588[/C][C]1.4442[/C][C]1.44468[/C][C]1.4562[/C][/ROW]
[ROW][C]0.92[/C][C]1.45668[/C][C]1.459288[/C][C]1.457[/C][C]1.457[/C][C]1.456744[/C][C]1.457[/C][C]1.459112[/C][C]1.4614[/C][/ROW]
[ROW][C]0.93[/C][C]1.46245[/C][C]1.468672[/C][C]1.4684[/C][C]1.4684[/C][C]1.46294[/C][C]1.4614[/C][C]1.471528[/C][C]1.4684[/C][/ROW]
[ROW][C]0.94[/C][C]1.47078[/C][C]1.47372[/C][C]1.4718[/C][C]1.4718[/C][C]1.470984[/C][C]1.4718[/C][C]1.47288[/C][C]1.4748[/C][/ROW]
[ROW][C]0.95[/C][C]1.4765[/C][C]1.48356[/C][C]1.4816[/C][C]1.4816[/C][C]1.47684[/C][C]1.4748[/C][C]1.48944[/C][C]1.4816[/C][/ROW]
[ROW][C]0.96[/C][C]1.48944[/C][C]1.496036[/C][C]1.4914[/C][C]1.4914[/C][C]1.489832[/C][C]1.4914[/C][C]1.492864[/C][C]1.4975[/C][/ROW]
[ROW][C]0.97[/C][C]1.51682[/C][C]1.553532[/C][C]1.5527[/C][C]1.5527[/C][C]1.518476[/C][C]1.4975[/C][C]1.554468[/C][C]1.5527[/C][/ROW]
[ROW][C]0.98[/C][C]1.55504[/C][C]1.555652[/C][C]1.5553[/C][C]1.5553[/C][C]1.555092[/C][C]1.5553[/C][C]1.555348[/C][C]1.5557[/C][/ROW]
[ROW][C]0.99[/C][C]1.564385[/C][C]1.57588[/C][C]1.575[/C][C]1.575[/C][C]1.564578[/C][C]1.5557[/C][C]1.57612[/C][C]1.575[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196395&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196395&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	0.8543	0.85432	0.8552	0.8552	0.855848	0.8552	0.85408	0.8552
0.02	0.85683	0.856916	0.8607	0.8607	0.861444	0.8564	0.860184	0.8564
0.03	0.866745	0.867024	0.87	0.87	0.871302	0.87	0.863676	0.87
0.04	0.87252	0.872604	0.8742	0.8742	0.874456	0.8721	0.873696	0.8721
0.05	0.8754	0.87548	0.8758	0.8758	0.88105	0.8758	0.87452	0.8758
0.06	0.88405	0.8842	0.8858	0.8858	0.8864	0.8833	0.8849	0.8833
0.07	0.887925	0.8881	0.8883	0.8883	0.891186	0.8883	0.886	0.8883
0.08	0.89216	0.892192	0.8924	0.8924	0.893968	0.892	0.892208	0.892
0.09	0.897055	0.897428	0.8973	0.8973	0.900052	0.8973	0.900372	0.8973
0.1	0.9023	0.90266	0.9041	0.9041	0.90482	0.9041	0.90194	0.9041
0.11	0.905905	0.905916	0.906	0.906	0.905994	0.9059	0.905984	0.9059
0.12	0.9081	0.90852	0.9095	0.9095	0.910268	0.9095	0.90698	0.9095
0.13	0.911985	0.912752	0.917	0.917	0.917094	0.9111	0.915348	0.9111
0.14	0.92029	0.920948	0.9217	0.9217	0.930996	0.9217	0.917752	0.9217
0.15	0.93865	0.93886	0.9397	0.9397	0.94043	0.9383	0.93914	0.9383
0.16	0.94554	0.946708	0.947	0.947	0.948408	0.947	0.939992	0.947
0.17	0.95137	0.952424	0.9554	0.9554	0.957002	0.9492	0.952176	0.9554
0.18	0.96341	0.96538	0.9643	0.9643	0.97402	0.9643	0.97672	0.9643
0.19	0.97915	0.97972	0.9808	0.9808	0.980878	0.9778	0.97888	0.9808
0.2	0.9811	0.98156	0.9811	0.98225	0.98294	0.9811	0.98294	0.9811
0.21	0.98824	0.990088	0.9922	0.9922	0.995328	0.9922	0.985512	0.9922
0.22	1.00263	1.005336	1.0137	1.0137	1.012224	1.0014	1.009764	1.0014
0.23	1.01669	1.017748	1.0183	1.0183	1.036738	1.0183	1.014252	1.0183
0.24	1.06522	1.068844	1.0773	1.0773	1.076696	1.0622	1.070656	1.0622
0.25	1.07985	1.0807	1.0807	1.0807	1.08275	1.0807	1.0807	1.0807
0.26	1.09353	1.101096	1.1139	1.1139	1.114232	1.0848	1.097604	1.1139
0.27	1.120955	1.124	1.1222	1.1222	1.1309	1.1222	1.1354	1.1222
0.28	1.1456	1.15148	1.1582	1.1582	1.159172	1.1372	1.14392	1.1582
0.29	1.165895	1.166996	1.1663	1.1663	1.168214	1.1663	1.168504	1.1663
0.3	1.1697	1.17	1.1702	1.1702	1.17188	1.1702	1.1694	1.1702
0.31	1.17895	1.18112	1.1856	1.1856	1.18378	1.1786	1.18308	1.1786
0.32	1.19052	1.193144	1.1938	1.1938	1.195116	1.1938	1.186256	1.1938
0.33	1.19883	1.199556	1.2007	1.2007	1.200304	1.1985	1.199644	1.1985
0.34	1.20126	1.20152	1.2015	1.2015	1.20168	1.2015	1.20198	1.2015
0.35	1.202425	1.20302	1.2037	1.2037	1.20353	1.202	1.20268	1.2037
0.36	1.20898	1.21086	1.2103	1.2103	1.21184	1.2103	1.21324	1.2103
0.37	1.214745	1.215744	1.2165	1.2165	1.216446	1.2138	1.214556	1.2165
0.38	1.21749	1.218496	1.2176	1.2176	1.219264	1.2176	1.219904	1.2176
0.39	1.22125	1.22164	1.2218	1.2218	1.222028	1.2208	1.22096	1.2218
0.4	1.2256	1.22584	1.2256	1.2259	1.22596	1.2256	1.22596	1.2256
0.41	1.22642	1.226584	1.2266	1.2266	1.22667	1.2266	1.226216	1.2266
0.42	1.22725	1.22788	1.2286	1.2286	1.22812	1.2271	1.22782	1.2286
0.43	1.22873	1.228832	1.2288	1.2288	1.228888	1.2288	1.229168	1.2288
0.44	1.23136	1.236112	1.24	1.24	1.237408	1.2292	1.233088	1.24
0.45	1.24675	1.24972	1.249	1.249	1.25008	1.249	1.25188	1.249
0.46	1.25377	1.255564	1.2565	1.2565	1.255876	1.2526	1.253536	1.2565
0.47	1.26041	1.261164	1.2611	1.2611	1.261176	1.2611	1.261236	1.2611
0.48	1.26262	1.264204	1.2646	1.2646	1.264336	1.2613	1.261696	1.2646
0.49	1.26498	1.266496	1.265	1.265	1.266564	1.265	1.266904	1.265
0.5	1.2689	1.2694	1.2694	1.2694	1.2694	1.2694	1.2694	1.2694
0.51	1.272725	1.27298	1.2732	1.2732	1.27297	1.2727	1.27292	1.2732
0.52	1.27548	1.277	1.277	1.277	1.277	1.277	1.277	1.277
0.53	1.277225	1.27802	1.2785	1.2785	1.27793	1.277	1.27748	1.2785
0.54	1.27878	1.279428	1.2789	1.2789	1.279252	1.2789	1.280572	1.2789
0.55	1.281525	1.28246	1.2828	1.2828	1.28229	1.2811	1.28144	1.2828
0.56	1.28504	1.2865	1.2856	1.2856	1.2862	1.2856	1.2872	1.2856
0.57	1.288555	1.289296	1.2894	1.2894	1.289114	1.2881	1.288204	1.2894
0.58	1.29039	1.292084	1.2905	1.2905	1.291556	1.2905	1.292216	1.2905
0.59	1.29542	1.297468	1.2974	1.2974	1.296896	1.2938	1.299032	1.2974
0.6	1.2991	1.29958	1.2991	1.2995	1.29942	1.2991	1.29942	1.2999
0.61	1.300725	1.301976	1.3014	1.3014	1.30131	1.3014	1.304424	1.3014
0.62	1.30517	1.306224	1.3067	1.3067	1.305816	1.305	1.305476	1.3067
0.63	1.307155	1.30866	1.3074	1.3074	1.30749	1.3074	1.31064	1.3074
0.64	1.31276	1.315512	1.3162	1.3162	1.314308	1.3119	1.312588	1.3162
0.65	1.317475	1.31834	1.3179	1.3179	1.31801	1.3179	1.31856	1.3179
0.66	1.31933	1.320056	1.3201	1.3201	1.319704	1.319	1.319044	1.3201
0.67	1.3201	1.320724	1.3201	1.3201	1.320316	1.3201	1.320676	1.3213
0.68	1.32158	1.322032	1.322	1.322	1.321804	1.3213	1.322368	1.322
0.69	1.32238	1.32336	1.3224	1.3224	1.32279	1.3224	1.32294	1.3239
0.7	1.32405	1.3258	1.3242	1.3242	1.32414	1.3242	1.3306	1.3242
0.71	1.33239	1.335088	1.336	1.336	1.333492	1.3322	1.333112	1.336
0.72	1.33876	1.340664	1.3406	1.3406	1.340048	1.3406	1.340736	1.3406
0.73	1.340965	1.341768	1.3419	1.3419	1.341262	1.3408	1.340932	1.3419
0.74	1.344	1.347628	1.3449	1.3449	1.34478	1.3449	1.348372	1.3449
0.75	1.351225	1.3516	1.3516	1.3516	1.35135	1.3511	1.3516	1.3516
0.76	1.3548	1.356328	1.3556	1.3556	1.355652	1.3556	1.356172	1.3569
0.77	1.358755	1.362524	1.3622	1.3622	1.359974	1.3569	1.364576	1.3622
0.78	1.36463	1.364968	1.3649	1.3649	1.364912	1.3649	1.364932	1.365
0.79	1.365495	1.3667	1.3661	1.3661	1.365726	1.365	1.368	1.3661
0.8	1.3686	1.3702	1.3686	1.3696	1.369	1.3686	1.369	1.3706
0.81	1.37115	1.373544	1.3716	1.3716	1.37134	1.3716	1.375056	1.3716
0.82	1.37826	1.388592	1.3896	1.3896	1.380528	1.377	1.378008	1.3896
0.83	1.38973	1.394648	1.3898	1.3898	1.389764	1.3898	1.395052	1.3898
0.84	1.40024	1.401888	1.4016	1.4016	1.400512	1.3999	1.408512	1.4016
0.85	1.407	1.41714	1.4088	1.4088	1.40808	1.4088	1.41436	1.4227
0.86	1.42381	1.426464	1.4264	1.4264	1.424328	1.4227	1.426736	1.4264
0.87	1.42674	1.427088	1.4268	1.4268	1.426792	1.4268	1.426912	1.4272
0.88	1.43004	1.434468	1.4343	1.4343	1.430892	1.4272	1.434732	1.4343
0.89	1.43487	1.43658	1.4349	1.4349	1.43502	1.4349	1.43522	1.4369
0.9	1.43785	1.44096	1.4388	1.4388	1.43804	1.4388	1.44204	1.4388
0.91	1.4448	1.45572	1.4562	1.4562	1.44588	1.4442	1.44468	1.4562
0.92	1.45668	1.459288	1.457	1.457	1.456744	1.457	1.459112	1.4614
0.93	1.46245	1.468672	1.4684	1.4684	1.46294	1.4614	1.471528	1.4684
0.94	1.47078	1.47372	1.4718	1.4718	1.470984	1.4718	1.47288	1.4748
0.95	1.4765	1.48356	1.4816	1.4816	1.47684	1.4748	1.48944	1.4816
0.96	1.48944	1.496036	1.4914	1.4914	1.489832	1.4914	1.492864	1.4975
0.97	1.51682	1.553532	1.5527	1.5527	1.518476	1.4975	1.554468	1.5527
0.98	1.55504	1.555652	1.5553	1.5553	1.555092	1.5553	1.555348	1.5557
0.99	1.564385	1.57588	1.575	1.575	1.564578	1.5557	1.57612	1.575

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