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rwasp_percentiles.wasp

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Percentiles

Date of computation

Wed, 14 Dec 2011 14:14:18 -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/2011/Dec/14/t1323890069h4t2ic0j7q1y555.htm/, Retrieved Wed, 01 May 2024 16:43:36 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=155201, Retrieved Wed, 01 May 2024 16:43:36 +0000

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Estimated Impact

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

-     [Univariate Data Series] [PAPER: inflatie] [2011-12-14 17:48:41] [f0cb027b41af06223bae4ee77475f3bc]
- RMPD  [Histogram] [PAPER: gezondheid...] [2011-12-14 18:00:08] [f0cb027b41af06223bae4ee77475f3bc]
- RMP     [Harrell-Davis Quantiles] [PAPER: gezondheid...] [2011-12-14 18:10:29] [f0cb027b41af06223bae4ee77475f3bc]
- RMPD      [Notched Boxplots] [PAPER: gezondheid...] [2011-12-14 18:20:09] [f0cb027b41af06223bae4ee77475f3bc]
- RM D          [Percentiles] [PAPER: inflatie] [2011-12-14 19:14:18] [6baf48ba14bcb50d9e72b77bece8a45b] [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	1 seconds
R Server	'Herman Ole Andreas Wold' @ wold.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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155201&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155201&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155201&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	1 seconds
R Server	'Herman Ole Andreas Wold' @ wold.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	-0.01582	-0.015771	-0.0119	-0.0119	-0.011729	-0.0168	-0.012929	-0.0168
0.02	-0.01154	-0.011522	-0.011	-0.011	-0.010506	-0.0119	-0.011378	-0.0119
0.03	-0.01022	-0.010181	-0.0097	-0.0097	-0.008617	-0.0097	-0.010519	-0.0097
0.04	-0.00818	-0.008104	-0.0078	-0.0078	-0.004684	-0.0078	-0.009396	-0.0078
0.05	-0.0037	-0.003575	-0.0037	-0.00245	-0.001325	-0.0037	-0.001325	-0.0037
0.06	-0.00044	-0.000212	0.0026	0.0026	0.003076	-0.0012	0.001612	-0.0012
0.07	0.00396	0.004198	0.006	0.006	0.006066	0.0026	0.004402	0.0026
0.08	0.00612	0.006136	0.0062	0.0062	0.0062	0.0062	0.006064	0.0062
0.09	0.0062	0.0062	0.0062	0.0062	0.006768	0.0062	0.0062	0.0062
0.1	0.007	0.00718	0.007	0.0079	0.00862	0.007	0.00862	0.007
0.11	0.00912	0.009296	0.0104	0.0104	0.010454	0.0088	0.009904	0.0088
0.12	0.01064	0.010712	0.011	0.011	0.011056	0.0104	0.010688	0.011
0.13	0.01112	0.011146	0.0112	0.0112	0.011247	0.0112	0.011054	0.0112
0.14	0.01128	0.011294	0.0113	0.0113	0.011828	0.0113	0.011206	0.0113
0.15	0.0121	0.0121	0.0121	0.0121	0.0121	0.0121	0.0121	0.0121
0.16	0.01212	0.012136	0.0122	0.0122	0.012216	0.0121	0.012164	0.0121
0.17	0.01236	0.012428	0.0126	0.0126	0.0126	0.0122	0.012372	0.0126
0.18	0.0126	0.0126	0.0126	0.0126	0.0126	0.0126	0.0126	0.0126
0.19	0.0126	0.0126	0.0126	0.0126	0.012722	0.0126	0.0126	0.0126
0.2	0.0128	0.0128	0.0128	0.0128	0.0128	0.0128	0.0128	0.0128
0.21	0.01282	0.012841	0.0129	0.0129	0.012899	0.0128	0.012859	0.0128
0.22	0.0129	0.0129	0.0129	0.0129	0.012972	0.0129	0.0129	0.0129
0.23	0.01314	0.013232	0.0133	0.0133	0.013448	0.0133	0.012968	0.0133
0.24	0.01362	0.0137	0.0137	0.0137	0.0137	0.0137	0.0137	0.0137
0.25	0.0137	0.013975	0.0137	0.01425	0.014525	0.0137	0.014525	0.0137
0.26	0.01482	0.014846	0.0149	0.0149	0.014894	0.0148	0.014854	0.0148
0.27	0.0149	0.0149	0.0149	0.0149	0.014926	0.0149	0.0149	0.0149
0.28	0.01502	0.015076	0.0151	0.0151	0.015324	0.0151	0.014924	0.0151
0.29	0.01566	0.015809	0.0158	0.0158	0.015851	0.0158	0.015891	0.0158
0.3	0.0159	0.01593	0.0159	0.01595	0.01597	0.0159	0.01597	0.0159
0.31	0.01604	0.016102	0.0162	0.0162	0.016178	0.016	0.016098	0.0162
0.32	0.01624	0.016272	0.0163	0.0163	0.016308	0.0162	0.016228	0.0163
0.33	0.01636	0.016393	0.0164	0.0164	0.016454	0.0164	0.016307	0.0164
0.34	0.01656	0.0166	0.0166	0.0166	0.0166	0.0166	0.0166	0.0166
0.35	0.0166	0.016705	0.0166	0.01675	0.016795	0.0166	0.016795	0.0166
0.36	0.017	0.01718	0.0174	0.0174	0.01732	0.0169	0.01712	0.0174
0.37	0.0174	0.0174	0.0174	0.0174	0.017406	0.0174	0.0174	0.0174
0.38	0.01752	0.017596	0.0176	0.0176	0.017622	0.0176	0.017404	0.0176
0.39	0.01768	0.017719	0.0177	0.0177	0.017741	0.0177	0.017781	0.0177
0.4	0.0178	0.01784	0.0178	0.01785	0.01786	0.0178	0.01786	0.0178
0.41	0.01792	0.017961	0.018	0.018	0.017979	0.0179	0.017939	0.018
0.42	0.018	0.018	0.018	0.018	0.018	0.018	0.018	0.018
0.43	0.01806	0.018103	0.0181	0.0181	0.018117	0.0181	0.018197	0.0181
0.44	0.01818	0.018296	0.0182	0.0182	0.018344	0.0182	0.018504	0.0182
0.45	0.0186	0.018645	0.0186	0.01865	0.018655	0.0186	0.018655	0.0186
0.46	0.0188	0.01903	0.0192	0.0192	0.01907	0.0187	0.01887	0.0192
0.47	0.01924	0.019287	0.0193	0.0193	0.019293	0.0192	0.019213	0.0193
0.48	0.01948	0.019656	0.0196	0.0196	0.019684	0.0196	0.020244	0.0196
0.49	0.02016	0.020735	0.0203	0.0203	0.020765	0.0203	0.021365	0.0203
0.5	0.0218	0.02185	0.0218	0.02185	0.02185	0.0218	0.02185	0.02185
0.51	0.022	0.022255	0.0224	0.0224	0.022245	0.0219	0.022045	0.0224
0.52	0.02248	0.022584	0.0226	0.0226	0.022576	0.0224	0.022416	0.0226
0.53	0.0226	0.0226	0.0226	0.0226	0.0226	0.0226	0.0226	0.0226
0.54	0.0226	0.022634	0.0226	0.0226	0.022626	0.0226	0.022666	0.0226
0.55	0.0227	0.0227	0.0227	0.0227	0.0227	0.0227	0.0227	0.0227
0.56	0.0228	0.02308	0.0232	0.0232	0.02302	0.0227	0.02282	0.0232
0.57	0.0232	0.0232	0.0232	0.0232	0.0232	0.0232	0.0232	0.0232
0.58	0.02356	0.023854	0.0238	0.0238	0.023806	0.0238	0.024046	0.0238
0.59	0.02404	0.024295	0.0241	0.0241	0.024205	0.0241	0.024405	0.0241
0.6	0.0246	0.02466	0.0246	0.02465	0.02464	0.0246	0.02464	0.0247
0.61	0.02478	0.025024	0.0251	0.0251	0.024936	0.0247	0.024776	0.0251
0.62	0.02526	0.025504	0.0255	0.0255	0.025412	0.0251	0.025696	0.0255
0.63	0.02562	0.0257	0.0257	0.0257	0.025694	0.0257	0.0257	0.0257
0.64	0.0257	0.0257	0.0257	0.0257	0.0257	0.0257	0.0257	0.0257
0.65	0.0257	0.02596	0.0257	0.0259	0.02584	0.0257	0.02584	0.0261
0.66	0.02614	0.026272	0.0263	0.0263	0.026208	0.0261	0.026128	0.0263
0.67	0.0263	0.0263	0.0263	0.0263	0.0263	0.0263	0.0263	0.0263
0.68	0.0263	0.026412	0.0263	0.0263	0.0263	0.0263	0.026588	0.0263
0.69	0.02662	0.027141	0.0267	0.0267	0.026799	0.0267	0.027159	0.0267
0.7	0.0276	0.0283	0.0276	0.0281	0.0279	0.0276	0.0279	0.0286
0.71	0.0286	0.0286	0.0286	0.0286	0.0286	0.0286	0.0286	0.0286
0.72	0.02864	0.028724	0.0287	0.0287	0.028668	0.0286	0.028876	0.0287
0.73	0.02882	0.028933	0.0289	0.0289	0.028874	0.0289	0.028967	0.0289
0.74	0.02898	0.029054	0.029	0.029	0.029006	0.029	0.029046	0.0291
0.75	0.0291	0.029325	0.0291	0.02925	0.029175	0.0291	0.029175	0.0294
0.76	0.02954	0.030072	0.0301	0.0301	0.029708	0.0294	0.029428	0.0301
0.77	0.03034	0.030734	0.0307	0.0307	0.030478	0.0301	0.030866	0.0307
0.78	0.03082	0.030938	0.0309	0.0309	0.030864	0.0309	0.030962	0.0309
0.79	0.03098	0.031059	0.031	0.031	0.031001	0.031	0.031041	0.0311
0.8	0.0311	0.03134	0.0311	0.03125	0.03116	0.0311	0.03116	0.0314
0.81	0.0314	0.031402	0.0314	0.0314	0.0314	0.0314	0.031598	0.0314
0.82	0.03148	0.031732	0.0316	0.0316	0.031516	0.0314	0.032068	0.0316
0.83	0.03196	0.032759	0.0322	0.0322	0.032062	0.0322	0.032941	0.0322
0.84	0.03324	0.033756	0.0335	0.0335	0.033448	0.0335	0.033644	0.0339
0.85	0.0339	0.03407	0.0339	0.034	0.03393	0.0339	0.03393	0.0341
0.86	0.0342	0.034636	0.0346	0.0346	0.03427	0.0341	0.035164	0.0346
0.87	0.03484	0.035281	0.0352	0.0352	0.034918	0.0346	0.035419	0.0352
0.88	0.03538	0.035596	0.0355	0.0355	0.035416	0.0355	0.035604	0.0355
0.89	0.03566	0.035907	0.0357	0.0357	0.035682	0.0357	0.035793	0.036
0.9	0.036	0.03636	0.036	0.0362	0.03604	0.036	0.03604	0.0364
0.91	0.03646	0.036788	0.0367	0.0367	0.036487	0.0364	0.037412	0.0367
0.92	0.03702	0.03782	0.0375	0.0375	0.037084	0.0367	0.03818	0.0375
0.93	0.0381	0.04009	0.0385	0.0385	0.03817	0.0385	0.03991	0.0415
0.94	0.0409	0.043276	0.0415	0.0415	0.04108	0.0415	0.042124	0.0439
0.95	0.0439	0.047035	0.0439	0.04555	0.044065	0.0439	0.044065	0.0472
0.96	0.04818	0.052388	0.0521	0.0521	0.048376	0.0472	0.053612	0.0521
0.97	0.05282	0.054159	0.0539	0.0539	0.052874	0.0521	0.054341	0.0539
0.98	0.05432	0.056572	0.0546	0.0546	0.054334	0.0546	0.056028	0.058
0.99	0.05732	0.058869	0.058	0.058	0.057354	0.058	0.058231	0.0591

\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 & -0.01582 & -0.015771 & -0.0119 & -0.0119 & -0.011729 & -0.0168 & -0.012929 & -0.0168 \tabularnewline
0.02 & -0.01154 & -0.011522 & -0.011 & -0.011 & -0.010506 & -0.0119 & -0.011378 & -0.0119 \tabularnewline
0.03 & -0.01022 & -0.010181 & -0.0097 & -0.0097 & -0.008617 & -0.0097 & -0.010519 & -0.0097 \tabularnewline
0.04 & -0.00818 & -0.008104 & -0.0078 & -0.0078 & -0.004684 & -0.0078 & -0.009396 & -0.0078 \tabularnewline
0.05 & -0.0037 & -0.003575 & -0.0037 & -0.00245 & -0.001325 & -0.0037 & -0.001325 & -0.0037 \tabularnewline
0.06 & -0.00044 & -0.000212 & 0.0026 & 0.0026 & 0.003076 & -0.0012 & 0.001612 & -0.0012 \tabularnewline
0.07 & 0.00396 & 0.004198 & 0.006 & 0.006 & 0.006066 & 0.0026 & 0.004402 & 0.0026 \tabularnewline
0.08 & 0.00612 & 0.006136 & 0.0062 & 0.0062 & 0.0062 & 0.0062 & 0.006064 & 0.0062 \tabularnewline
0.09 & 0.0062 & 0.0062 & 0.0062 & 0.0062 & 0.006768 & 0.0062 & 0.0062 & 0.0062 \tabularnewline
0.1 & 0.007 & 0.00718 & 0.007 & 0.0079 & 0.00862 & 0.007 & 0.00862 & 0.007 \tabularnewline
0.11 & 0.00912 & 0.009296 & 0.0104 & 0.0104 & 0.010454 & 0.0088 & 0.009904 & 0.0088 \tabularnewline
0.12 & 0.01064 & 0.010712 & 0.011 & 0.011 & 0.011056 & 0.0104 & 0.010688 & 0.011 \tabularnewline
0.13 & 0.01112 & 0.011146 & 0.0112 & 0.0112 & 0.011247 & 0.0112 & 0.011054 & 0.0112 \tabularnewline
0.14 & 0.01128 & 0.011294 & 0.0113 & 0.0113 & 0.011828 & 0.0113 & 0.011206 & 0.0113 \tabularnewline
0.15 & 0.0121 & 0.0121 & 0.0121 & 0.0121 & 0.0121 & 0.0121 & 0.0121 & 0.0121 \tabularnewline
0.16 & 0.01212 & 0.012136 & 0.0122 & 0.0122 & 0.012216 & 0.0121 & 0.012164 & 0.0121 \tabularnewline
0.17 & 0.01236 & 0.012428 & 0.0126 & 0.0126 & 0.0126 & 0.0122 & 0.012372 & 0.0126 \tabularnewline
0.18 & 0.0126 & 0.0126 & 0.0126 & 0.0126 & 0.0126 & 0.0126 & 0.0126 & 0.0126 \tabularnewline
0.19 & 0.0126 & 0.0126 & 0.0126 & 0.0126 & 0.012722 & 0.0126 & 0.0126 & 0.0126 \tabularnewline
0.2 & 0.0128 & 0.0128 & 0.0128 & 0.0128 & 0.0128 & 0.0128 & 0.0128 & 0.0128 \tabularnewline
0.21 & 0.01282 & 0.012841 & 0.0129 & 0.0129 & 0.012899 & 0.0128 & 0.012859 & 0.0128 \tabularnewline
0.22 & 0.0129 & 0.0129 & 0.0129 & 0.0129 & 0.012972 & 0.0129 & 0.0129 & 0.0129 \tabularnewline
0.23 & 0.01314 & 0.013232 & 0.0133 & 0.0133 & 0.013448 & 0.0133 & 0.012968 & 0.0133 \tabularnewline
0.24 & 0.01362 & 0.0137 & 0.0137 & 0.0137 & 0.0137 & 0.0137 & 0.0137 & 0.0137 \tabularnewline
0.25 & 0.0137 & 0.013975 & 0.0137 & 0.01425 & 0.014525 & 0.0137 & 0.014525 & 0.0137 \tabularnewline
0.26 & 0.01482 & 0.014846 & 0.0149 & 0.0149 & 0.014894 & 0.0148 & 0.014854 & 0.0148 \tabularnewline
0.27 & 0.0149 & 0.0149 & 0.0149 & 0.0149 & 0.014926 & 0.0149 & 0.0149 & 0.0149 \tabularnewline
0.28 & 0.01502 & 0.015076 & 0.0151 & 0.0151 & 0.015324 & 0.0151 & 0.014924 & 0.0151 \tabularnewline
0.29 & 0.01566 & 0.015809 & 0.0158 & 0.0158 & 0.015851 & 0.0158 & 0.015891 & 0.0158 \tabularnewline
0.3 & 0.0159 & 0.01593 & 0.0159 & 0.01595 & 0.01597 & 0.0159 & 0.01597 & 0.0159 \tabularnewline
0.31 & 0.01604 & 0.016102 & 0.0162 & 0.0162 & 0.016178 & 0.016 & 0.016098 & 0.0162 \tabularnewline
0.32 & 0.01624 & 0.016272 & 0.0163 & 0.0163 & 0.016308 & 0.0162 & 0.016228 & 0.0163 \tabularnewline
0.33 & 0.01636 & 0.016393 & 0.0164 & 0.0164 & 0.016454 & 0.0164 & 0.016307 & 0.0164 \tabularnewline
0.34 & 0.01656 & 0.0166 & 0.0166 & 0.0166 & 0.0166 & 0.0166 & 0.0166 & 0.0166 \tabularnewline
0.35 & 0.0166 & 0.016705 & 0.0166 & 0.01675 & 0.016795 & 0.0166 & 0.016795 & 0.0166 \tabularnewline
0.36 & 0.017 & 0.01718 & 0.0174 & 0.0174 & 0.01732 & 0.0169 & 0.01712 & 0.0174 \tabularnewline
0.37 & 0.0174 & 0.0174 & 0.0174 & 0.0174 & 0.017406 & 0.0174 & 0.0174 & 0.0174 \tabularnewline
0.38 & 0.01752 & 0.017596 & 0.0176 & 0.0176 & 0.017622 & 0.0176 & 0.017404 & 0.0176 \tabularnewline
0.39 & 0.01768 & 0.017719 & 0.0177 & 0.0177 & 0.017741 & 0.0177 & 0.017781 & 0.0177 \tabularnewline
0.4 & 0.0178 & 0.01784 & 0.0178 & 0.01785 & 0.01786 & 0.0178 & 0.01786 & 0.0178 \tabularnewline
0.41 & 0.01792 & 0.017961 & 0.018 & 0.018 & 0.017979 & 0.0179 & 0.017939 & 0.018 \tabularnewline
0.42 & 0.018 & 0.018 & 0.018 & 0.018 & 0.018 & 0.018 & 0.018 & 0.018 \tabularnewline
0.43 & 0.01806 & 0.018103 & 0.0181 & 0.0181 & 0.018117 & 0.0181 & 0.018197 & 0.0181 \tabularnewline
0.44 & 0.01818 & 0.018296 & 0.0182 & 0.0182 & 0.018344 & 0.0182 & 0.018504 & 0.0182 \tabularnewline
0.45 & 0.0186 & 0.018645 & 0.0186 & 0.01865 & 0.018655 & 0.0186 & 0.018655 & 0.0186 \tabularnewline
0.46 & 0.0188 & 0.01903 & 0.0192 & 0.0192 & 0.01907 & 0.0187 & 0.01887 & 0.0192 \tabularnewline
0.47 & 0.01924 & 0.019287 & 0.0193 & 0.0193 & 0.019293 & 0.0192 & 0.019213 & 0.0193 \tabularnewline
0.48 & 0.01948 & 0.019656 & 0.0196 & 0.0196 & 0.019684 & 0.0196 & 0.020244 & 0.0196 \tabularnewline
0.49 & 0.02016 & 0.020735 & 0.0203 & 0.0203 & 0.020765 & 0.0203 & 0.021365 & 0.0203 \tabularnewline
0.5 & 0.0218 & 0.02185 & 0.0218 & 0.02185 & 0.02185 & 0.0218 & 0.02185 & 0.02185 \tabularnewline
0.51 & 0.022 & 0.022255 & 0.0224 & 0.0224 & 0.022245 & 0.0219 & 0.022045 & 0.0224 \tabularnewline
0.52 & 0.02248 & 0.022584 & 0.0226 & 0.0226 & 0.022576 & 0.0224 & 0.022416 & 0.0226 \tabularnewline
0.53 & 0.0226 & 0.0226 & 0.0226 & 0.0226 & 0.0226 & 0.0226 & 0.0226 & 0.0226 \tabularnewline
0.54 & 0.0226 & 0.022634 & 0.0226 & 0.0226 & 0.022626 & 0.0226 & 0.022666 & 0.0226 \tabularnewline
0.55 & 0.0227 & 0.0227 & 0.0227 & 0.0227 & 0.0227 & 0.0227 & 0.0227 & 0.0227 \tabularnewline
0.56 & 0.0228 & 0.02308 & 0.0232 & 0.0232 & 0.02302 & 0.0227 & 0.02282 & 0.0232 \tabularnewline
0.57 & 0.0232 & 0.0232 & 0.0232 & 0.0232 & 0.0232 & 0.0232 & 0.0232 & 0.0232 \tabularnewline
0.58 & 0.02356 & 0.023854 & 0.0238 & 0.0238 & 0.023806 & 0.0238 & 0.024046 & 0.0238 \tabularnewline
0.59 & 0.02404 & 0.024295 & 0.0241 & 0.0241 & 0.024205 & 0.0241 & 0.024405 & 0.0241 \tabularnewline
0.6 & 0.0246 & 0.02466 & 0.0246 & 0.02465 & 0.02464 & 0.0246 & 0.02464 & 0.0247 \tabularnewline
0.61 & 0.02478 & 0.025024 & 0.0251 & 0.0251 & 0.024936 & 0.0247 & 0.024776 & 0.0251 \tabularnewline
0.62 & 0.02526 & 0.025504 & 0.0255 & 0.0255 & 0.025412 & 0.0251 & 0.025696 & 0.0255 \tabularnewline
0.63 & 0.02562 & 0.0257 & 0.0257 & 0.0257 & 0.025694 & 0.0257 & 0.0257 & 0.0257 \tabularnewline
0.64 & 0.0257 & 0.0257 & 0.0257 & 0.0257 & 0.0257 & 0.0257 & 0.0257 & 0.0257 \tabularnewline
0.65 & 0.0257 & 0.02596 & 0.0257 & 0.0259 & 0.02584 & 0.0257 & 0.02584 & 0.0261 \tabularnewline
0.66 & 0.02614 & 0.026272 & 0.0263 & 0.0263 & 0.026208 & 0.0261 & 0.026128 & 0.0263 \tabularnewline
0.67 & 0.0263 & 0.0263 & 0.0263 & 0.0263 & 0.0263 & 0.0263 & 0.0263 & 0.0263 \tabularnewline
0.68 & 0.0263 & 0.026412 & 0.0263 & 0.0263 & 0.0263 & 0.0263 & 0.026588 & 0.0263 \tabularnewline
0.69 & 0.02662 & 0.027141 & 0.0267 & 0.0267 & 0.026799 & 0.0267 & 0.027159 & 0.0267 \tabularnewline
0.7 & 0.0276 & 0.0283 & 0.0276 & 0.0281 & 0.0279 & 0.0276 & 0.0279 & 0.0286 \tabularnewline
0.71 & 0.0286 & 0.0286 & 0.0286 & 0.0286 & 0.0286 & 0.0286 & 0.0286 & 0.0286 \tabularnewline
0.72 & 0.02864 & 0.028724 & 0.0287 & 0.0287 & 0.028668 & 0.0286 & 0.028876 & 0.0287 \tabularnewline
0.73 & 0.02882 & 0.028933 & 0.0289 & 0.0289 & 0.028874 & 0.0289 & 0.028967 & 0.0289 \tabularnewline
0.74 & 0.02898 & 0.029054 & 0.029 & 0.029 & 0.029006 & 0.029 & 0.029046 & 0.0291 \tabularnewline
0.75 & 0.0291 & 0.029325 & 0.0291 & 0.02925 & 0.029175 & 0.0291 & 0.029175 & 0.0294 \tabularnewline
0.76 & 0.02954 & 0.030072 & 0.0301 & 0.0301 & 0.029708 & 0.0294 & 0.029428 & 0.0301 \tabularnewline
0.77 & 0.03034 & 0.030734 & 0.0307 & 0.0307 & 0.030478 & 0.0301 & 0.030866 & 0.0307 \tabularnewline
0.78 & 0.03082 & 0.030938 & 0.0309 & 0.0309 & 0.030864 & 0.0309 & 0.030962 & 0.0309 \tabularnewline
0.79 & 0.03098 & 0.031059 & 0.031 & 0.031 & 0.031001 & 0.031 & 0.031041 & 0.0311 \tabularnewline
0.8 & 0.0311 & 0.03134 & 0.0311 & 0.03125 & 0.03116 & 0.0311 & 0.03116 & 0.0314 \tabularnewline
0.81 & 0.0314 & 0.031402 & 0.0314 & 0.0314 & 0.0314 & 0.0314 & 0.031598 & 0.0314 \tabularnewline
0.82 & 0.03148 & 0.031732 & 0.0316 & 0.0316 & 0.031516 & 0.0314 & 0.032068 & 0.0316 \tabularnewline
0.83 & 0.03196 & 0.032759 & 0.0322 & 0.0322 & 0.032062 & 0.0322 & 0.032941 & 0.0322 \tabularnewline
0.84 & 0.03324 & 0.033756 & 0.0335 & 0.0335 & 0.033448 & 0.0335 & 0.033644 & 0.0339 \tabularnewline
0.85 & 0.0339 & 0.03407 & 0.0339 & 0.034 & 0.03393 & 0.0339 & 0.03393 & 0.0341 \tabularnewline
0.86 & 0.0342 & 0.034636 & 0.0346 & 0.0346 & 0.03427 & 0.0341 & 0.035164 & 0.0346 \tabularnewline
0.87 & 0.03484 & 0.035281 & 0.0352 & 0.0352 & 0.034918 & 0.0346 & 0.035419 & 0.0352 \tabularnewline
0.88 & 0.03538 & 0.035596 & 0.0355 & 0.0355 & 0.035416 & 0.0355 & 0.035604 & 0.0355 \tabularnewline
0.89 & 0.03566 & 0.035907 & 0.0357 & 0.0357 & 0.035682 & 0.0357 & 0.035793 & 0.036 \tabularnewline
0.9 & 0.036 & 0.03636 & 0.036 & 0.0362 & 0.03604 & 0.036 & 0.03604 & 0.0364 \tabularnewline
0.91 & 0.03646 & 0.036788 & 0.0367 & 0.0367 & 0.036487 & 0.0364 & 0.037412 & 0.0367 \tabularnewline
0.92 & 0.03702 & 0.03782 & 0.0375 & 0.0375 & 0.037084 & 0.0367 & 0.03818 & 0.0375 \tabularnewline
0.93 & 0.0381 & 0.04009 & 0.0385 & 0.0385 & 0.03817 & 0.0385 & 0.03991 & 0.0415 \tabularnewline
0.94 & 0.0409 & 0.043276 & 0.0415 & 0.0415 & 0.04108 & 0.0415 & 0.042124 & 0.0439 \tabularnewline
0.95 & 0.0439 & 0.047035 & 0.0439 & 0.04555 & 0.044065 & 0.0439 & 0.044065 & 0.0472 \tabularnewline
0.96 & 0.04818 & 0.052388 & 0.0521 & 0.0521 & 0.048376 & 0.0472 & 0.053612 & 0.0521 \tabularnewline
0.97 & 0.05282 & 0.054159 & 0.0539 & 0.0539 & 0.052874 & 0.0521 & 0.054341 & 0.0539 \tabularnewline
0.98 & 0.05432 & 0.056572 & 0.0546 & 0.0546 & 0.054334 & 0.0546 & 0.056028 & 0.058 \tabularnewline
0.99 & 0.05732 & 0.058869 & 0.058 & 0.058 & 0.057354 & 0.058 & 0.058231 & 0.0591 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155201&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]-0.01582[/C][C]-0.015771[/C][C]-0.0119[/C][C]-0.0119[/C][C]-0.011729[/C][C]-0.0168[/C][C]-0.012929[/C][C]-0.0168[/C][/ROW]
[ROW][C]0.02[/C][C]-0.01154[/C][C]-0.011522[/C][C]-0.011[/C][C]-0.011[/C][C]-0.010506[/C][C]-0.0119[/C][C]-0.011378[/C][C]-0.0119[/C][/ROW]
[ROW][C]0.03[/C][C]-0.01022[/C][C]-0.010181[/C][C]-0.0097[/C][C]-0.0097[/C][C]-0.008617[/C][C]-0.0097[/C][C]-0.010519[/C][C]-0.0097[/C][/ROW]
[ROW][C]0.04[/C][C]-0.00818[/C][C]-0.008104[/C][C]-0.0078[/C][C]-0.0078[/C][C]-0.004684[/C][C]-0.0078[/C][C]-0.009396[/C][C]-0.0078[/C][/ROW]
[ROW][C]0.05[/C][C]-0.0037[/C][C]-0.003575[/C][C]-0.0037[/C][C]-0.00245[/C][C]-0.001325[/C][C]-0.0037[/C][C]-0.001325[/C][C]-0.0037[/C][/ROW]
[ROW][C]0.06[/C][C]-0.00044[/C][C]-0.000212[/C][C]0.0026[/C][C]0.0026[/C][C]0.003076[/C][C]-0.0012[/C][C]0.001612[/C][C]-0.0012[/C][/ROW]
[ROW][C]0.07[/C][C]0.00396[/C][C]0.004198[/C][C]0.006[/C][C]0.006[/C][C]0.006066[/C][C]0.0026[/C][C]0.004402[/C][C]0.0026[/C][/ROW]
[ROW][C]0.08[/C][C]0.00612[/C][C]0.006136[/C][C]0.0062[/C][C]0.0062[/C][C]0.0062[/C][C]0.0062[/C][C]0.006064[/C][C]0.0062[/C][/ROW]
[ROW][C]0.09[/C][C]0.0062[/C][C]0.0062[/C][C]0.0062[/C][C]0.0062[/C][C]0.006768[/C][C]0.0062[/C][C]0.0062[/C][C]0.0062[/C][/ROW]
[ROW][C]0.1[/C][C]0.007[/C][C]0.00718[/C][C]0.007[/C][C]0.0079[/C][C]0.00862[/C][C]0.007[/C][C]0.00862[/C][C]0.007[/C][/ROW]
[ROW][C]0.11[/C][C]0.00912[/C][C]0.009296[/C][C]0.0104[/C][C]0.0104[/C][C]0.010454[/C][C]0.0088[/C][C]0.009904[/C][C]0.0088[/C][/ROW]
[ROW][C]0.12[/C][C]0.01064[/C][C]0.010712[/C][C]0.011[/C][C]0.011[/C][C]0.011056[/C][C]0.0104[/C][C]0.010688[/C][C]0.011[/C][/ROW]
[ROW][C]0.13[/C][C]0.01112[/C][C]0.011146[/C][C]0.0112[/C][C]0.0112[/C][C]0.011247[/C][C]0.0112[/C][C]0.011054[/C][C]0.0112[/C][/ROW]
[ROW][C]0.14[/C][C]0.01128[/C][C]0.011294[/C][C]0.0113[/C][C]0.0113[/C][C]0.011828[/C][C]0.0113[/C][C]0.011206[/C][C]0.0113[/C][/ROW]
[ROW][C]0.15[/C][C]0.0121[/C][C]0.0121[/C][C]0.0121[/C][C]0.0121[/C][C]0.0121[/C][C]0.0121[/C][C]0.0121[/C][C]0.0121[/C][/ROW]
[ROW][C]0.16[/C][C]0.01212[/C][C]0.012136[/C][C]0.0122[/C][C]0.0122[/C][C]0.012216[/C][C]0.0121[/C][C]0.012164[/C][C]0.0121[/C][/ROW]
[ROW][C]0.17[/C][C]0.01236[/C][C]0.012428[/C][C]0.0126[/C][C]0.0126[/C][C]0.0126[/C][C]0.0122[/C][C]0.012372[/C][C]0.0126[/C][/ROW]
[ROW][C]0.18[/C][C]0.0126[/C][C]0.0126[/C][C]0.0126[/C][C]0.0126[/C][C]0.0126[/C][C]0.0126[/C][C]0.0126[/C][C]0.0126[/C][/ROW]
[ROW][C]0.19[/C][C]0.0126[/C][C]0.0126[/C][C]0.0126[/C][C]0.0126[/C][C]0.012722[/C][C]0.0126[/C][C]0.0126[/C][C]0.0126[/C][/ROW]
[ROW][C]0.2[/C][C]0.0128[/C][C]0.0128[/C][C]0.0128[/C][C]0.0128[/C][C]0.0128[/C][C]0.0128[/C][C]0.0128[/C][C]0.0128[/C][/ROW]
[ROW][C]0.21[/C][C]0.01282[/C][C]0.012841[/C][C]0.0129[/C][C]0.0129[/C][C]0.012899[/C][C]0.0128[/C][C]0.012859[/C][C]0.0128[/C][/ROW]
[ROW][C]0.22[/C][C]0.0129[/C][C]0.0129[/C][C]0.0129[/C][C]0.0129[/C][C]0.012972[/C][C]0.0129[/C][C]0.0129[/C][C]0.0129[/C][/ROW]
[ROW][C]0.23[/C][C]0.01314[/C][C]0.013232[/C][C]0.0133[/C][C]0.0133[/C][C]0.013448[/C][C]0.0133[/C][C]0.012968[/C][C]0.0133[/C][/ROW]
[ROW][C]0.24[/C][C]0.01362[/C][C]0.0137[/C][C]0.0137[/C][C]0.0137[/C][C]0.0137[/C][C]0.0137[/C][C]0.0137[/C][C]0.0137[/C][/ROW]
[ROW][C]0.25[/C][C]0.0137[/C][C]0.013975[/C][C]0.0137[/C][C]0.01425[/C][C]0.014525[/C][C]0.0137[/C][C]0.014525[/C][C]0.0137[/C][/ROW]
[ROW][C]0.26[/C][C]0.01482[/C][C]0.014846[/C][C]0.0149[/C][C]0.0149[/C][C]0.014894[/C][C]0.0148[/C][C]0.014854[/C][C]0.0148[/C][/ROW]
[ROW][C]0.27[/C][C]0.0149[/C][C]0.0149[/C][C]0.0149[/C][C]0.0149[/C][C]0.014926[/C][C]0.0149[/C][C]0.0149[/C][C]0.0149[/C][/ROW]
[ROW][C]0.28[/C][C]0.01502[/C][C]0.015076[/C][C]0.0151[/C][C]0.0151[/C][C]0.015324[/C][C]0.0151[/C][C]0.014924[/C][C]0.0151[/C][/ROW]
[ROW][C]0.29[/C][C]0.01566[/C][C]0.015809[/C][C]0.0158[/C][C]0.0158[/C][C]0.015851[/C][C]0.0158[/C][C]0.015891[/C][C]0.0158[/C][/ROW]
[ROW][C]0.3[/C][C]0.0159[/C][C]0.01593[/C][C]0.0159[/C][C]0.01595[/C][C]0.01597[/C][C]0.0159[/C][C]0.01597[/C][C]0.0159[/C][/ROW]
[ROW][C]0.31[/C][C]0.01604[/C][C]0.016102[/C][C]0.0162[/C][C]0.0162[/C][C]0.016178[/C][C]0.016[/C][C]0.016098[/C][C]0.0162[/C][/ROW]
[ROW][C]0.32[/C][C]0.01624[/C][C]0.016272[/C][C]0.0163[/C][C]0.0163[/C][C]0.016308[/C][C]0.0162[/C][C]0.016228[/C][C]0.0163[/C][/ROW]
[ROW][C]0.33[/C][C]0.01636[/C][C]0.016393[/C][C]0.0164[/C][C]0.0164[/C][C]0.016454[/C][C]0.0164[/C][C]0.016307[/C][C]0.0164[/C][/ROW]
[ROW][C]0.34[/C][C]0.01656[/C][C]0.0166[/C][C]0.0166[/C][C]0.0166[/C][C]0.0166[/C][C]0.0166[/C][C]0.0166[/C][C]0.0166[/C][/ROW]
[ROW][C]0.35[/C][C]0.0166[/C][C]0.016705[/C][C]0.0166[/C][C]0.01675[/C][C]0.016795[/C][C]0.0166[/C][C]0.016795[/C][C]0.0166[/C][/ROW]
[ROW][C]0.36[/C][C]0.017[/C][C]0.01718[/C][C]0.0174[/C][C]0.0174[/C][C]0.01732[/C][C]0.0169[/C][C]0.01712[/C][C]0.0174[/C][/ROW]
[ROW][C]0.37[/C][C]0.0174[/C][C]0.0174[/C][C]0.0174[/C][C]0.0174[/C][C]0.017406[/C][C]0.0174[/C][C]0.0174[/C][C]0.0174[/C][/ROW]
[ROW][C]0.38[/C][C]0.01752[/C][C]0.017596[/C][C]0.0176[/C][C]0.0176[/C][C]0.017622[/C][C]0.0176[/C][C]0.017404[/C][C]0.0176[/C][/ROW]
[ROW][C]0.39[/C][C]0.01768[/C][C]0.017719[/C][C]0.0177[/C][C]0.0177[/C][C]0.017741[/C][C]0.0177[/C][C]0.017781[/C][C]0.0177[/C][/ROW]
[ROW][C]0.4[/C][C]0.0178[/C][C]0.01784[/C][C]0.0178[/C][C]0.01785[/C][C]0.01786[/C][C]0.0178[/C][C]0.01786[/C][C]0.0178[/C][/ROW]
[ROW][C]0.41[/C][C]0.01792[/C][C]0.017961[/C][C]0.018[/C][C]0.018[/C][C]0.017979[/C][C]0.0179[/C][C]0.017939[/C][C]0.018[/C][/ROW]
[ROW][C]0.42[/C][C]0.018[/C][C]0.018[/C][C]0.018[/C][C]0.018[/C][C]0.018[/C][C]0.018[/C][C]0.018[/C][C]0.018[/C][/ROW]
[ROW][C]0.43[/C][C]0.01806[/C][C]0.018103[/C][C]0.0181[/C][C]0.0181[/C][C]0.018117[/C][C]0.0181[/C][C]0.018197[/C][C]0.0181[/C][/ROW]
[ROW][C]0.44[/C][C]0.01818[/C][C]0.018296[/C][C]0.0182[/C][C]0.0182[/C][C]0.018344[/C][C]0.0182[/C][C]0.018504[/C][C]0.0182[/C][/ROW]
[ROW][C]0.45[/C][C]0.0186[/C][C]0.018645[/C][C]0.0186[/C][C]0.01865[/C][C]0.018655[/C][C]0.0186[/C][C]0.018655[/C][C]0.0186[/C][/ROW]
[ROW][C]0.46[/C][C]0.0188[/C][C]0.01903[/C][C]0.0192[/C][C]0.0192[/C][C]0.01907[/C][C]0.0187[/C][C]0.01887[/C][C]0.0192[/C][/ROW]
[ROW][C]0.47[/C][C]0.01924[/C][C]0.019287[/C][C]0.0193[/C][C]0.0193[/C][C]0.019293[/C][C]0.0192[/C][C]0.019213[/C][C]0.0193[/C][/ROW]
[ROW][C]0.48[/C][C]0.01948[/C][C]0.019656[/C][C]0.0196[/C][C]0.0196[/C][C]0.019684[/C][C]0.0196[/C][C]0.020244[/C][C]0.0196[/C][/ROW]
[ROW][C]0.49[/C][C]0.02016[/C][C]0.020735[/C][C]0.0203[/C][C]0.0203[/C][C]0.020765[/C][C]0.0203[/C][C]0.021365[/C][C]0.0203[/C][/ROW]
[ROW][C]0.5[/C][C]0.0218[/C][C]0.02185[/C][C]0.0218[/C][C]0.02185[/C][C]0.02185[/C][C]0.0218[/C][C]0.02185[/C][C]0.02185[/C][/ROW]
[ROW][C]0.51[/C][C]0.022[/C][C]0.022255[/C][C]0.0224[/C][C]0.0224[/C][C]0.022245[/C][C]0.0219[/C][C]0.022045[/C][C]0.0224[/C][/ROW]
[ROW][C]0.52[/C][C]0.02248[/C][C]0.022584[/C][C]0.0226[/C][C]0.0226[/C][C]0.022576[/C][C]0.0224[/C][C]0.022416[/C][C]0.0226[/C][/ROW]
[ROW][C]0.53[/C][C]0.0226[/C][C]0.0226[/C][C]0.0226[/C][C]0.0226[/C][C]0.0226[/C][C]0.0226[/C][C]0.0226[/C][C]0.0226[/C][/ROW]
[ROW][C]0.54[/C][C]0.0226[/C][C]0.022634[/C][C]0.0226[/C][C]0.0226[/C][C]0.022626[/C][C]0.0226[/C][C]0.022666[/C][C]0.0226[/C][/ROW]
[ROW][C]0.55[/C][C]0.0227[/C][C]0.0227[/C][C]0.0227[/C][C]0.0227[/C][C]0.0227[/C][C]0.0227[/C][C]0.0227[/C][C]0.0227[/C][/ROW]
[ROW][C]0.56[/C][C]0.0228[/C][C]0.02308[/C][C]0.0232[/C][C]0.0232[/C][C]0.02302[/C][C]0.0227[/C][C]0.02282[/C][C]0.0232[/C][/ROW]
[ROW][C]0.57[/C][C]0.0232[/C][C]0.0232[/C][C]0.0232[/C][C]0.0232[/C][C]0.0232[/C][C]0.0232[/C][C]0.0232[/C][C]0.0232[/C][/ROW]
[ROW][C]0.58[/C][C]0.02356[/C][C]0.023854[/C][C]0.0238[/C][C]0.0238[/C][C]0.023806[/C][C]0.0238[/C][C]0.024046[/C][C]0.0238[/C][/ROW]
[ROW][C]0.59[/C][C]0.02404[/C][C]0.024295[/C][C]0.0241[/C][C]0.0241[/C][C]0.024205[/C][C]0.0241[/C][C]0.024405[/C][C]0.0241[/C][/ROW]
[ROW][C]0.6[/C][C]0.0246[/C][C]0.02466[/C][C]0.0246[/C][C]0.02465[/C][C]0.02464[/C][C]0.0246[/C][C]0.02464[/C][C]0.0247[/C][/ROW]
[ROW][C]0.61[/C][C]0.02478[/C][C]0.025024[/C][C]0.0251[/C][C]0.0251[/C][C]0.024936[/C][C]0.0247[/C][C]0.024776[/C][C]0.0251[/C][/ROW]
[ROW][C]0.62[/C][C]0.02526[/C][C]0.025504[/C][C]0.0255[/C][C]0.0255[/C][C]0.025412[/C][C]0.0251[/C][C]0.025696[/C][C]0.0255[/C][/ROW]
[ROW][C]0.63[/C][C]0.02562[/C][C]0.0257[/C][C]0.0257[/C][C]0.0257[/C][C]0.025694[/C][C]0.0257[/C][C]0.0257[/C][C]0.0257[/C][/ROW]
[ROW][C]0.64[/C][C]0.0257[/C][C]0.0257[/C][C]0.0257[/C][C]0.0257[/C][C]0.0257[/C][C]0.0257[/C][C]0.0257[/C][C]0.0257[/C][/ROW]
[ROW][C]0.65[/C][C]0.0257[/C][C]0.02596[/C][C]0.0257[/C][C]0.0259[/C][C]0.02584[/C][C]0.0257[/C][C]0.02584[/C][C]0.0261[/C][/ROW]
[ROW][C]0.66[/C][C]0.02614[/C][C]0.026272[/C][C]0.0263[/C][C]0.0263[/C][C]0.026208[/C][C]0.0261[/C][C]0.026128[/C][C]0.0263[/C][/ROW]
[ROW][C]0.67[/C][C]0.0263[/C][C]0.0263[/C][C]0.0263[/C][C]0.0263[/C][C]0.0263[/C][C]0.0263[/C][C]0.0263[/C][C]0.0263[/C][/ROW]
[ROW][C]0.68[/C][C]0.0263[/C][C]0.026412[/C][C]0.0263[/C][C]0.0263[/C][C]0.0263[/C][C]0.0263[/C][C]0.026588[/C][C]0.0263[/C][/ROW]
[ROW][C]0.69[/C][C]0.02662[/C][C]0.027141[/C][C]0.0267[/C][C]0.0267[/C][C]0.026799[/C][C]0.0267[/C][C]0.027159[/C][C]0.0267[/C][/ROW]
[ROW][C]0.7[/C][C]0.0276[/C][C]0.0283[/C][C]0.0276[/C][C]0.0281[/C][C]0.0279[/C][C]0.0276[/C][C]0.0279[/C][C]0.0286[/C][/ROW]
[ROW][C]0.71[/C][C]0.0286[/C][C]0.0286[/C][C]0.0286[/C][C]0.0286[/C][C]0.0286[/C][C]0.0286[/C][C]0.0286[/C][C]0.0286[/C][/ROW]
[ROW][C]0.72[/C][C]0.02864[/C][C]0.028724[/C][C]0.0287[/C][C]0.0287[/C][C]0.028668[/C][C]0.0286[/C][C]0.028876[/C][C]0.0287[/C][/ROW]
[ROW][C]0.73[/C][C]0.02882[/C][C]0.028933[/C][C]0.0289[/C][C]0.0289[/C][C]0.028874[/C][C]0.0289[/C][C]0.028967[/C][C]0.0289[/C][/ROW]
[ROW][C]0.74[/C][C]0.02898[/C][C]0.029054[/C][C]0.029[/C][C]0.029[/C][C]0.029006[/C][C]0.029[/C][C]0.029046[/C][C]0.0291[/C][/ROW]
[ROW][C]0.75[/C][C]0.0291[/C][C]0.029325[/C][C]0.0291[/C][C]0.02925[/C][C]0.029175[/C][C]0.0291[/C][C]0.029175[/C][C]0.0294[/C][/ROW]
[ROW][C]0.76[/C][C]0.02954[/C][C]0.030072[/C][C]0.0301[/C][C]0.0301[/C][C]0.029708[/C][C]0.0294[/C][C]0.029428[/C][C]0.0301[/C][/ROW]
[ROW][C]0.77[/C][C]0.03034[/C][C]0.030734[/C][C]0.0307[/C][C]0.0307[/C][C]0.030478[/C][C]0.0301[/C][C]0.030866[/C][C]0.0307[/C][/ROW]
[ROW][C]0.78[/C][C]0.03082[/C][C]0.030938[/C][C]0.0309[/C][C]0.0309[/C][C]0.030864[/C][C]0.0309[/C][C]0.030962[/C][C]0.0309[/C][/ROW]
[ROW][C]0.79[/C][C]0.03098[/C][C]0.031059[/C][C]0.031[/C][C]0.031[/C][C]0.031001[/C][C]0.031[/C][C]0.031041[/C][C]0.0311[/C][/ROW]
[ROW][C]0.8[/C][C]0.0311[/C][C]0.03134[/C][C]0.0311[/C][C]0.03125[/C][C]0.03116[/C][C]0.0311[/C][C]0.03116[/C][C]0.0314[/C][/ROW]
[ROW][C]0.81[/C][C]0.0314[/C][C]0.031402[/C][C]0.0314[/C][C]0.0314[/C][C]0.0314[/C][C]0.0314[/C][C]0.031598[/C][C]0.0314[/C][/ROW]
[ROW][C]0.82[/C][C]0.03148[/C][C]0.031732[/C][C]0.0316[/C][C]0.0316[/C][C]0.031516[/C][C]0.0314[/C][C]0.032068[/C][C]0.0316[/C][/ROW]
[ROW][C]0.83[/C][C]0.03196[/C][C]0.032759[/C][C]0.0322[/C][C]0.0322[/C][C]0.032062[/C][C]0.0322[/C][C]0.032941[/C][C]0.0322[/C][/ROW]
[ROW][C]0.84[/C][C]0.03324[/C][C]0.033756[/C][C]0.0335[/C][C]0.0335[/C][C]0.033448[/C][C]0.0335[/C][C]0.033644[/C][C]0.0339[/C][/ROW]
[ROW][C]0.85[/C][C]0.0339[/C][C]0.03407[/C][C]0.0339[/C][C]0.034[/C][C]0.03393[/C][C]0.0339[/C][C]0.03393[/C][C]0.0341[/C][/ROW]
[ROW][C]0.86[/C][C]0.0342[/C][C]0.034636[/C][C]0.0346[/C][C]0.0346[/C][C]0.03427[/C][C]0.0341[/C][C]0.035164[/C][C]0.0346[/C][/ROW]
[ROW][C]0.87[/C][C]0.03484[/C][C]0.035281[/C][C]0.0352[/C][C]0.0352[/C][C]0.034918[/C][C]0.0346[/C][C]0.035419[/C][C]0.0352[/C][/ROW]
[ROW][C]0.88[/C][C]0.03538[/C][C]0.035596[/C][C]0.0355[/C][C]0.0355[/C][C]0.035416[/C][C]0.0355[/C][C]0.035604[/C][C]0.0355[/C][/ROW]
[ROW][C]0.89[/C][C]0.03566[/C][C]0.035907[/C][C]0.0357[/C][C]0.0357[/C][C]0.035682[/C][C]0.0357[/C][C]0.035793[/C][C]0.036[/C][/ROW]
[ROW][C]0.9[/C][C]0.036[/C][C]0.03636[/C][C]0.036[/C][C]0.0362[/C][C]0.03604[/C][C]0.036[/C][C]0.03604[/C][C]0.0364[/C][/ROW]
[ROW][C]0.91[/C][C]0.03646[/C][C]0.036788[/C][C]0.0367[/C][C]0.0367[/C][C]0.036487[/C][C]0.0364[/C][C]0.037412[/C][C]0.0367[/C][/ROW]
[ROW][C]0.92[/C][C]0.03702[/C][C]0.03782[/C][C]0.0375[/C][C]0.0375[/C][C]0.037084[/C][C]0.0367[/C][C]0.03818[/C][C]0.0375[/C][/ROW]
[ROW][C]0.93[/C][C]0.0381[/C][C]0.04009[/C][C]0.0385[/C][C]0.0385[/C][C]0.03817[/C][C]0.0385[/C][C]0.03991[/C][C]0.0415[/C][/ROW]
[ROW][C]0.94[/C][C]0.0409[/C][C]0.043276[/C][C]0.0415[/C][C]0.0415[/C][C]0.04108[/C][C]0.0415[/C][C]0.042124[/C][C]0.0439[/C][/ROW]
[ROW][C]0.95[/C][C]0.0439[/C][C]0.047035[/C][C]0.0439[/C][C]0.04555[/C][C]0.044065[/C][C]0.0439[/C][C]0.044065[/C][C]0.0472[/C][/ROW]
[ROW][C]0.96[/C][C]0.04818[/C][C]0.052388[/C][C]0.0521[/C][C]0.0521[/C][C]0.048376[/C][C]0.0472[/C][C]0.053612[/C][C]0.0521[/C][/ROW]
[ROW][C]0.97[/C][C]0.05282[/C][C]0.054159[/C][C]0.0539[/C][C]0.0539[/C][C]0.052874[/C][C]0.0521[/C][C]0.054341[/C][C]0.0539[/C][/ROW]
[ROW][C]0.98[/C][C]0.05432[/C][C]0.056572[/C][C]0.0546[/C][C]0.0546[/C][C]0.054334[/C][C]0.0546[/C][C]0.056028[/C][C]0.058[/C][/ROW]
[ROW][C]0.99[/C][C]0.05732[/C][C]0.058869[/C][C]0.058[/C][C]0.058[/C][C]0.057354[/C][C]0.058[/C][C]0.058231[/C][C]0.0591[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155201&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155201&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	-0.01582	-0.015771	-0.0119	-0.0119	-0.011729	-0.0168	-0.012929	-0.0168
0.02	-0.01154	-0.011522	-0.011	-0.011	-0.010506	-0.0119	-0.011378	-0.0119
0.03	-0.01022	-0.010181	-0.0097	-0.0097	-0.008617	-0.0097	-0.010519	-0.0097
0.04	-0.00818	-0.008104	-0.0078	-0.0078	-0.004684	-0.0078	-0.009396	-0.0078
0.05	-0.0037	-0.003575	-0.0037	-0.00245	-0.001325	-0.0037	-0.001325	-0.0037
0.06	-0.00044	-0.000212	0.0026	0.0026	0.003076	-0.0012	0.001612	-0.0012
0.07	0.00396	0.004198	0.006	0.006	0.006066	0.0026	0.004402	0.0026
0.08	0.00612	0.006136	0.0062	0.0062	0.0062	0.0062	0.006064	0.0062
0.09	0.0062	0.0062	0.0062	0.0062	0.006768	0.0062	0.0062	0.0062
0.1	0.007	0.00718	0.007	0.0079	0.00862	0.007	0.00862	0.007
0.11	0.00912	0.009296	0.0104	0.0104	0.010454	0.0088	0.009904	0.0088
0.12	0.01064	0.010712	0.011	0.011	0.011056	0.0104	0.010688	0.011
0.13	0.01112	0.011146	0.0112	0.0112	0.011247	0.0112	0.011054	0.0112
0.14	0.01128	0.011294	0.0113	0.0113	0.011828	0.0113	0.011206	0.0113
0.15	0.0121	0.0121	0.0121	0.0121	0.0121	0.0121	0.0121	0.0121
0.16	0.01212	0.012136	0.0122	0.0122	0.012216	0.0121	0.012164	0.0121
0.17	0.01236	0.012428	0.0126	0.0126	0.0126	0.0122	0.012372	0.0126
0.18	0.0126	0.0126	0.0126	0.0126	0.0126	0.0126	0.0126	0.0126
0.19	0.0126	0.0126	0.0126	0.0126	0.012722	0.0126	0.0126	0.0126
0.2	0.0128	0.0128	0.0128	0.0128	0.0128	0.0128	0.0128	0.0128
0.21	0.01282	0.012841	0.0129	0.0129	0.012899	0.0128	0.012859	0.0128
0.22	0.0129	0.0129	0.0129	0.0129	0.012972	0.0129	0.0129	0.0129
0.23	0.01314	0.013232	0.0133	0.0133	0.013448	0.0133	0.012968	0.0133
0.24	0.01362	0.0137	0.0137	0.0137	0.0137	0.0137	0.0137	0.0137
0.25	0.0137	0.013975	0.0137	0.01425	0.014525	0.0137	0.014525	0.0137
0.26	0.01482	0.014846	0.0149	0.0149	0.014894	0.0148	0.014854	0.0148
0.27	0.0149	0.0149	0.0149	0.0149	0.014926	0.0149	0.0149	0.0149
0.28	0.01502	0.015076	0.0151	0.0151	0.015324	0.0151	0.014924	0.0151
0.29	0.01566	0.015809	0.0158	0.0158	0.015851	0.0158	0.015891	0.0158
0.3	0.0159	0.01593	0.0159	0.01595	0.01597	0.0159	0.01597	0.0159
0.31	0.01604	0.016102	0.0162	0.0162	0.016178	0.016	0.016098	0.0162
0.32	0.01624	0.016272	0.0163	0.0163	0.016308	0.0162	0.016228	0.0163
0.33	0.01636	0.016393	0.0164	0.0164	0.016454	0.0164	0.016307	0.0164
0.34	0.01656	0.0166	0.0166	0.0166	0.0166	0.0166	0.0166	0.0166
0.35	0.0166	0.016705	0.0166	0.01675	0.016795	0.0166	0.016795	0.0166
0.36	0.017	0.01718	0.0174	0.0174	0.01732	0.0169	0.01712	0.0174
0.37	0.0174	0.0174	0.0174	0.0174	0.017406	0.0174	0.0174	0.0174
0.38	0.01752	0.017596	0.0176	0.0176	0.017622	0.0176	0.017404	0.0176
0.39	0.01768	0.017719	0.0177	0.0177	0.017741	0.0177	0.017781	0.0177
0.4	0.0178	0.01784	0.0178	0.01785	0.01786	0.0178	0.01786	0.0178
0.41	0.01792	0.017961	0.018	0.018	0.017979	0.0179	0.017939	0.018
0.42	0.018	0.018	0.018	0.018	0.018	0.018	0.018	0.018
0.43	0.01806	0.018103	0.0181	0.0181	0.018117	0.0181	0.018197	0.0181
0.44	0.01818	0.018296	0.0182	0.0182	0.018344	0.0182	0.018504	0.0182
0.45	0.0186	0.018645	0.0186	0.01865	0.018655	0.0186	0.018655	0.0186
0.46	0.0188	0.01903	0.0192	0.0192	0.01907	0.0187	0.01887	0.0192
0.47	0.01924	0.019287	0.0193	0.0193	0.019293	0.0192	0.019213	0.0193
0.48	0.01948	0.019656	0.0196	0.0196	0.019684	0.0196	0.020244	0.0196
0.49	0.02016	0.020735	0.0203	0.0203	0.020765	0.0203	0.021365	0.0203
0.5	0.0218	0.02185	0.0218	0.02185	0.02185	0.0218	0.02185	0.02185
0.51	0.022	0.022255	0.0224	0.0224	0.022245	0.0219	0.022045	0.0224
0.52	0.02248	0.022584	0.0226	0.0226	0.022576	0.0224	0.022416	0.0226
0.53	0.0226	0.0226	0.0226	0.0226	0.0226	0.0226	0.0226	0.0226
0.54	0.0226	0.022634	0.0226	0.0226	0.022626	0.0226	0.022666	0.0226
0.55	0.0227	0.0227	0.0227	0.0227	0.0227	0.0227	0.0227	0.0227
0.56	0.0228	0.02308	0.0232	0.0232	0.02302	0.0227	0.02282	0.0232
0.57	0.0232	0.0232	0.0232	0.0232	0.0232	0.0232	0.0232	0.0232
0.58	0.02356	0.023854	0.0238	0.0238	0.023806	0.0238	0.024046	0.0238
0.59	0.02404	0.024295	0.0241	0.0241	0.024205	0.0241	0.024405	0.0241
0.6	0.0246	0.02466	0.0246	0.02465	0.02464	0.0246	0.02464	0.0247
0.61	0.02478	0.025024	0.0251	0.0251	0.024936	0.0247	0.024776	0.0251
0.62	0.02526	0.025504	0.0255	0.0255	0.025412	0.0251	0.025696	0.0255
0.63	0.02562	0.0257	0.0257	0.0257	0.025694	0.0257	0.0257	0.0257
0.64	0.0257	0.0257	0.0257	0.0257	0.0257	0.0257	0.0257	0.0257
0.65	0.0257	0.02596	0.0257	0.0259	0.02584	0.0257	0.02584	0.0261
0.66	0.02614	0.026272	0.0263	0.0263	0.026208	0.0261	0.026128	0.0263
0.67	0.0263	0.0263	0.0263	0.0263	0.0263	0.0263	0.0263	0.0263
0.68	0.0263	0.026412	0.0263	0.0263	0.0263	0.0263	0.026588	0.0263
0.69	0.02662	0.027141	0.0267	0.0267	0.026799	0.0267	0.027159	0.0267
0.7	0.0276	0.0283	0.0276	0.0281	0.0279	0.0276	0.0279	0.0286
0.71	0.0286	0.0286	0.0286	0.0286	0.0286	0.0286	0.0286	0.0286
0.72	0.02864	0.028724	0.0287	0.0287	0.028668	0.0286	0.028876	0.0287
0.73	0.02882	0.028933	0.0289	0.0289	0.028874	0.0289	0.028967	0.0289
0.74	0.02898	0.029054	0.029	0.029	0.029006	0.029	0.029046	0.0291
0.75	0.0291	0.029325	0.0291	0.02925	0.029175	0.0291	0.029175	0.0294
0.76	0.02954	0.030072	0.0301	0.0301	0.029708	0.0294	0.029428	0.0301
0.77	0.03034	0.030734	0.0307	0.0307	0.030478	0.0301	0.030866	0.0307
0.78	0.03082	0.030938	0.0309	0.0309	0.030864	0.0309	0.030962	0.0309
0.79	0.03098	0.031059	0.031	0.031	0.031001	0.031	0.031041	0.0311
0.8	0.0311	0.03134	0.0311	0.03125	0.03116	0.0311	0.03116	0.0314
0.81	0.0314	0.031402	0.0314	0.0314	0.0314	0.0314	0.031598	0.0314
0.82	0.03148	0.031732	0.0316	0.0316	0.031516	0.0314	0.032068	0.0316
0.83	0.03196	0.032759	0.0322	0.0322	0.032062	0.0322	0.032941	0.0322
0.84	0.03324	0.033756	0.0335	0.0335	0.033448	0.0335	0.033644	0.0339
0.85	0.0339	0.03407	0.0339	0.034	0.03393	0.0339	0.03393	0.0341
0.86	0.0342	0.034636	0.0346	0.0346	0.03427	0.0341	0.035164	0.0346
0.87	0.03484	0.035281	0.0352	0.0352	0.034918	0.0346	0.035419	0.0352
0.88	0.03538	0.035596	0.0355	0.0355	0.035416	0.0355	0.035604	0.0355
0.89	0.03566	0.035907	0.0357	0.0357	0.035682	0.0357	0.035793	0.036
0.9	0.036	0.03636	0.036	0.0362	0.03604	0.036	0.03604	0.0364
0.91	0.03646	0.036788	0.0367	0.0367	0.036487	0.0364	0.037412	0.0367
0.92	0.03702	0.03782	0.0375	0.0375	0.037084	0.0367	0.03818	0.0375
0.93	0.0381	0.04009	0.0385	0.0385	0.03817	0.0385	0.03991	0.0415
0.94	0.0409	0.043276	0.0415	0.0415	0.04108	0.0415	0.042124	0.0439
0.95	0.0439	0.047035	0.0439	0.04555	0.044065	0.0439	0.044065	0.0472
0.96	0.04818	0.052388	0.0521	0.0521	0.048376	0.0472	0.053612	0.0521
0.97	0.05282	0.054159	0.0539	0.0539	0.052874	0.0521	0.054341	0.0539
0.98	0.05432	0.056572	0.0546	0.0546	0.054334	0.0546	0.056028	0.058
0.99	0.05732	0.058869	0.058	0.058	0.057354	0.058	0.058231	0.0591

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

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