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R Software Module

rwasp_percentiles.wasp

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Percentiles

Date of computation

Thu, 20 Dec 2012 10:38:16 -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/20/t1356017912y5dd4kt885npf28.htm/, Retrieved Thu, 18 Apr 2024 16:47:18 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=202783, Retrieved Thu, 18 Apr 2024 16:47:18 +0000

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Estimated Impact

116

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

-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMP         [Spectral Analysis] [Births] [2010-11-29 09:38:20] [b98453cac15ba1066b407e146608df68]
- R  D          [Spectral Analysis] [WS9 3.2 CP d=0, D=0] [2010-12-07 10:39:32] [afe9379cca749d06b3d6872e02cc47ed]
-   PD            [Spectral Analysis] [Apple Inc - CP d=...] [2010-12-14 16:14:30] [afe9379cca749d06b3d6872e02cc47ed]
- RMPD              [Notched Boxplots] [] [2012-12-15 15:08:39] [d1865ed705b6ad9ba3d459a02c528b22]
- RM                    [Percentiles] [] [2012-12-20 15:38:16] [14d0a7ecb926325afa0eb6a607fbc7a0] [Current]

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Dataseries X:

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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	3 seconds
R Server	'George Udny Yule' @ yule.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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202783&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202783&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202783&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	3 seconds
R Server	'George Udny Yule' @ yule.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	18.98	18.98	18.98	18.98	18.985	18.98	18.98	18.98
0.02	18.9904	18.9908	19	19	19	19	18.9892	19
0.03	19	19	19	19	19.1575	19	19	19
0.04	19.21	19.21	19.21	19.21	19.21	19.21	19.21	19.21
0.05	19.243	19.2485	19.32	19.32	19.32	19.21	19.2815	19.21
0.06	19.32	19.32	19.32	19.32	19.4	19.32	19.32	19.32
0.07	19.4512	19.4624	19.48	19.48	19.48	19.48	19.3376	19.48
0.08	19.4816	19.4832	19.5	19.5	19.5	19.48	19.4968	19.48
0.09	19.5	19.5	19.5	19.5	19.505	19.5	19.5	19.5
0.1	19.512	19.514	19.52	19.52	19.52	19.52	19.506	19.52
0.11	19.52	19.52	19.52	19.52	19.52	19.52	19.52	19.52
0.12	19.52	19.52	19.52	19.52	19.52	19.52	19.52	19.52
0.13	19.5656	19.5812	19.64	19.64	19.64	19.52	19.5788	19.64
0.14	19.64	19.64	19.64	19.64	19.695	19.64	19.64	19.64
0.15	19.739	19.75	19.75	19.75	19.75	19.75	19.75	19.75
0.16	19.7676	19.7852	19.86	19.86	19.86	19.75	19.8248	19.75
0.17	19.86	19.86	19.86	19.86	19.865	19.86	19.86	19.86
0.18	19.8736	19.8772	19.88	19.88	19.88	19.88	19.8628	19.88
0.19	19.88	19.8943	19.88	19.88	19.9625	19.88	19.9757	19.88
0.2	19.99	19.99	19.99	19.99	19.99	19.99	19.99	19.99
0.21	20.0268	20.0436	20.07	20.07	20.07	19.99	20.0164	20.07
0.22	20.07	20.07	20.07	20.07	20.15	20.07	20.07	20.07
0.23	20.2268	20.23	20.23	20.23	20.23	20.23	20.23	20.23
0.24	20.242	20.254	20.28	20.28	20.28	20.23	20.256	20.23
0.25	20.28	20.28	20.28	20.28	20.29	20.28	20.28	20.28
0.26	20.3104	20.32	20.32	20.32	20.32	20.32	20.32	20.32
0.27	20.3216	20.3432	20.4	20.4	20.38	20.32	20.3768	20.32
0.28	20.4	20.4	20.4	20.4	20.4	20.4	20.4	20.4
0.29	20.4378	20.4581	20.47	20.47	20.47	20.47	20.4119	20.47
0.3	20.47	20.485	20.47	20.47	20.545	20.47	20.605	20.47
0.31	20.62	20.62	20.62	20.62	20.62	20.62	20.62	20.62
0.32	20.6744	20.7288	20.79	20.79	20.79	20.62	20.6812	20.79
0.33	20.79	20.79	20.79	20.79	20.82	20.79	20.79	20.79
0.34	20.8908	20.91	20.91	20.91	20.91	20.91	20.91	20.91
0.35	20.93	21	21.11	21.11	21.06	20.91	21.02	20.91
0.36	21.11	21.11	21.11	21.11	21.11	21.11	21.11	21.11
0.37	21.1472	21.1694	21.17	21.17	21.17	21.17	21.1106	21.17
0.38	21.17	21.1726	21.17	21.17	21.175	21.17	21.1774	21.17
0.39	21.18	21.18	21.18	21.18	21.18	21.18	21.18	21.18
0.4	21.192	21.204	21.21	21.21	21.21	21.18	21.186	21.21
0.41	21.21	21.2128	21.21	21.21	21.22	21.21	21.2472	21.21
0.42	21.2468	21.25	21.25	21.25	21.25	21.25	21.25	21.25
0.43	21.2986	21.4147	21.52	21.52	21.4525	21.25	21.3553	21.52
0.44	21.52	21.52	21.52	21.52	21.52	21.52	21.52	21.52
0.45	21.618	21.66	21.66	21.66	21.66	21.66	21.66	21.66
0.46	21.66	21.7314	21.66	21.66	21.745	21.66	21.7586	21.66
0.47	21.83	21.83	21.83	21.83	21.83	21.83	21.83	21.83
0.48	21.8492	21.8684	21.87	21.87	21.87	21.83	21.8316	21.87
0.49	21.87	21.8861	21.87	21.87	21.8875	21.87	21.9239	21.87
0.5	21.94	21.94	21.94	21.94	21.94	21.94	21.94	21.94
0.51	21.9426	21.9477	21.95	21.95	21.9475	21.94	21.9423	21.95
0.52	21.95	21.9516	21.95	21.95	21.95	21.95	21.9884	21.95
0.53	21.9812	21.99	21.99	21.99	21.99	21.99	21.99	21.99
0.54	21.9904	21.9958	22	22	21.995	21.99	21.9942	22
0.55	22	22	22	22	22	22	22	22
0.56	22.0952	22.17	22.17	22.17	22.17	22.17	22.17	22.17
0.57	22.17	22.209	22.17	22.17	22.195	22.17	22.231	22.17
0.58	22.27	22.27	22.27	22.27	22.27	22.27	22.27	22.27
0.59	22.3006	22.3537	22.36	22.36	22.3375	22.27	22.2763	22.36
0.6	22.36	22.4	22.36	22.36	22.36	22.36	22.52	22.36
0.61	22.532	22.56	22.56	22.56	22.56	22.56	22.56	22.56
0.62	22.5636	22.5822	22.59	22.59	22.575	22.56	22.5678	22.59
0.63	22.59	22.5927	22.59	22.59	22.59	22.59	22.8573	22.59
0.64	22.7628	22.86	22.86	22.86	22.86	22.86	22.86	22.86
0.65	22.86	22.893	22.86	22.86	22.875	22.86	22.887	22.92
0.66	22.92	22.92	22.92	22.92	22.92	22.92	22.92	22.92
0.67	22.9956	23.1	23.1	23.1	23.055	22.92	23.1	23.1
0.68	23.1	23.1468	23.1	23.1	23.1	23.1	23.1832	23.1
0.69	23.2222	23.23	23.23	23.23	23.23	23.23	23.23	23.23
0.7	23.242	23.284	23.29	23.29	23.26	23.23	23.236	23.29
0.71	23.29	23.3359	23.29	23.29	23.29	23.29	23.5141	23.29
0.72	23.4844	23.56	23.56	23.56	23.56	23.56	23.56	23.56
0.73	23.56	23.8724	23.56	23.56	23.67	23.56	23.6876	24
0.74	24	24	24	24	24	24	24	24
0.75	24.16	24.32	24.32	24.32	24.24	24.32	24.32	24.32
0.76	24.32	25.1624	24.32	24.32	24.32	24.32	25.0976	25.94
0.77	25.94	25.94	25.94	25.94	25.94	25.94	25.94	25.94
0.78	25.9988	26.15	26.15	26.15	26.045	25.94	26.15	26.15
0.79	26.15	26.2193	26.15	26.15	26.15	26.15	26.2907	26.15
0.8	26.318	26.36	26.36	26.36	26.36	26.36	26.36	26.36
0.81	26.387	26.7515	26.81	26.81	26.4725	26.36	26.4185	26.81
0.82	26.81	26.8324	26.81	26.81	26.81	26.81	26.9476	26.81
0.83	26.9028	26.97	26.97	26.97	26.93	26.97	26.97	26.97
0.84	26.97	27.0176	26.97	26.97	26.97	26.97	26.9924	27.04
0.85	27.04	27.04	27.04	27.04	27.04	27.04	27.04	27.04
0.86	27.1408	27.32	27.32	27.32	27.18	27.04	27.32	27.32
0.87	27.32	27.3886	27.32	27.32	27.32	27.32	27.3914	27.32
0.88	27.4432	27.46	27.46	27.46	27.46	27.46	27.46	27.46
0.89	27.4642	27.49	27.49	27.49	27.4675	27.46	27.49	27.49
0.9	27.49	27.517	27.49	27.49	27.49	27.49	27.553	27.49
0.91	27.5494	27.58	27.58	27.58	27.5575	27.58	27.58	27.58
0.92	27.58	27.6892	27.58	27.58	27.58	27.58	27.6008	27.71
0.93	27.71	27.7243	27.71	27.71	27.71	27.71	27.8257	27.71
0.94	27.7672	27.84	27.84	27.84	27.775	27.71	27.84	27.84
0.95	27.84	27.931	27.84	27.84	27.84	27.84	27.889	27.98
0.96	27.9744	27.98	27.98	27.98	27.98	27.98	27.98	27.98
0.97	27.9844	28	28	28	27.985	27.98	28	28
0.98	28	28.1104	28	28	28	28	28.1296	28
0.99	28.1776	28.24	28.24	28.24	28.18	28.24	28.24	28.24

\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 & 18.98 & 18.98 & 18.98 & 18.98 & 18.985 & 18.98 & 18.98 & 18.98 \tabularnewline
0.02 & 18.9904 & 18.9908 & 19 & 19 & 19 & 19 & 18.9892 & 19 \tabularnewline
0.03 & 19 & 19 & 19 & 19 & 19.1575 & 19 & 19 & 19 \tabularnewline
0.04 & 19.21 & 19.21 & 19.21 & 19.21 & 19.21 & 19.21 & 19.21 & 19.21 \tabularnewline
0.05 & 19.243 & 19.2485 & 19.32 & 19.32 & 19.32 & 19.21 & 19.2815 & 19.21 \tabularnewline
0.06 & 19.32 & 19.32 & 19.32 & 19.32 & 19.4 & 19.32 & 19.32 & 19.32 \tabularnewline
0.07 & 19.4512 & 19.4624 & 19.48 & 19.48 & 19.48 & 19.48 & 19.3376 & 19.48 \tabularnewline
0.08 & 19.4816 & 19.4832 & 19.5 & 19.5 & 19.5 & 19.48 & 19.4968 & 19.48 \tabularnewline
0.09 & 19.5 & 19.5 & 19.5 & 19.5 & 19.505 & 19.5 & 19.5 & 19.5 \tabularnewline
0.1 & 19.512 & 19.514 & 19.52 & 19.52 & 19.52 & 19.52 & 19.506 & 19.52 \tabularnewline
0.11 & 19.52 & 19.52 & 19.52 & 19.52 & 19.52 & 19.52 & 19.52 & 19.52 \tabularnewline
0.12 & 19.52 & 19.52 & 19.52 & 19.52 & 19.52 & 19.52 & 19.52 & 19.52 \tabularnewline
0.13 & 19.5656 & 19.5812 & 19.64 & 19.64 & 19.64 & 19.52 & 19.5788 & 19.64 \tabularnewline
0.14 & 19.64 & 19.64 & 19.64 & 19.64 & 19.695 & 19.64 & 19.64 & 19.64 \tabularnewline
0.15 & 19.739 & 19.75 & 19.75 & 19.75 & 19.75 & 19.75 & 19.75 & 19.75 \tabularnewline
0.16 & 19.7676 & 19.7852 & 19.86 & 19.86 & 19.86 & 19.75 & 19.8248 & 19.75 \tabularnewline
0.17 & 19.86 & 19.86 & 19.86 & 19.86 & 19.865 & 19.86 & 19.86 & 19.86 \tabularnewline
0.18 & 19.8736 & 19.8772 & 19.88 & 19.88 & 19.88 & 19.88 & 19.8628 & 19.88 \tabularnewline
0.19 & 19.88 & 19.8943 & 19.88 & 19.88 & 19.9625 & 19.88 & 19.9757 & 19.88 \tabularnewline
0.2 & 19.99 & 19.99 & 19.99 & 19.99 & 19.99 & 19.99 & 19.99 & 19.99 \tabularnewline
0.21 & 20.0268 & 20.0436 & 20.07 & 20.07 & 20.07 & 19.99 & 20.0164 & 20.07 \tabularnewline
0.22 & 20.07 & 20.07 & 20.07 & 20.07 & 20.15 & 20.07 & 20.07 & 20.07 \tabularnewline
0.23 & 20.2268 & 20.23 & 20.23 & 20.23 & 20.23 & 20.23 & 20.23 & 20.23 \tabularnewline
0.24 & 20.242 & 20.254 & 20.28 & 20.28 & 20.28 & 20.23 & 20.256 & 20.23 \tabularnewline
0.25 & 20.28 & 20.28 & 20.28 & 20.28 & 20.29 & 20.28 & 20.28 & 20.28 \tabularnewline
0.26 & 20.3104 & 20.32 & 20.32 & 20.32 & 20.32 & 20.32 & 20.32 & 20.32 \tabularnewline
0.27 & 20.3216 & 20.3432 & 20.4 & 20.4 & 20.38 & 20.32 & 20.3768 & 20.32 \tabularnewline
0.28 & 20.4 & 20.4 & 20.4 & 20.4 & 20.4 & 20.4 & 20.4 & 20.4 \tabularnewline
0.29 & 20.4378 & 20.4581 & 20.47 & 20.47 & 20.47 & 20.47 & 20.4119 & 20.47 \tabularnewline
0.3 & 20.47 & 20.485 & 20.47 & 20.47 & 20.545 & 20.47 & 20.605 & 20.47 \tabularnewline
0.31 & 20.62 & 20.62 & 20.62 & 20.62 & 20.62 & 20.62 & 20.62 & 20.62 \tabularnewline
0.32 & 20.6744 & 20.7288 & 20.79 & 20.79 & 20.79 & 20.62 & 20.6812 & 20.79 \tabularnewline
0.33 & 20.79 & 20.79 & 20.79 & 20.79 & 20.82 & 20.79 & 20.79 & 20.79 \tabularnewline
0.34 & 20.8908 & 20.91 & 20.91 & 20.91 & 20.91 & 20.91 & 20.91 & 20.91 \tabularnewline
0.35 & 20.93 & 21 & 21.11 & 21.11 & 21.06 & 20.91 & 21.02 & 20.91 \tabularnewline
0.36 & 21.11 & 21.11 & 21.11 & 21.11 & 21.11 & 21.11 & 21.11 & 21.11 \tabularnewline
0.37 & 21.1472 & 21.1694 & 21.17 & 21.17 & 21.17 & 21.17 & 21.1106 & 21.17 \tabularnewline
0.38 & 21.17 & 21.1726 & 21.17 & 21.17 & 21.175 & 21.17 & 21.1774 & 21.17 \tabularnewline
0.39 & 21.18 & 21.18 & 21.18 & 21.18 & 21.18 & 21.18 & 21.18 & 21.18 \tabularnewline
0.4 & 21.192 & 21.204 & 21.21 & 21.21 & 21.21 & 21.18 & 21.186 & 21.21 \tabularnewline
0.41 & 21.21 & 21.2128 & 21.21 & 21.21 & 21.22 & 21.21 & 21.2472 & 21.21 \tabularnewline
0.42 & 21.2468 & 21.25 & 21.25 & 21.25 & 21.25 & 21.25 & 21.25 & 21.25 \tabularnewline
0.43 & 21.2986 & 21.4147 & 21.52 & 21.52 & 21.4525 & 21.25 & 21.3553 & 21.52 \tabularnewline
0.44 & 21.52 & 21.52 & 21.52 & 21.52 & 21.52 & 21.52 & 21.52 & 21.52 \tabularnewline
0.45 & 21.618 & 21.66 & 21.66 & 21.66 & 21.66 & 21.66 & 21.66 & 21.66 \tabularnewline
0.46 & 21.66 & 21.7314 & 21.66 & 21.66 & 21.745 & 21.66 & 21.7586 & 21.66 \tabularnewline
0.47 & 21.83 & 21.83 & 21.83 & 21.83 & 21.83 & 21.83 & 21.83 & 21.83 \tabularnewline
0.48 & 21.8492 & 21.8684 & 21.87 & 21.87 & 21.87 & 21.83 & 21.8316 & 21.87 \tabularnewline
0.49 & 21.87 & 21.8861 & 21.87 & 21.87 & 21.8875 & 21.87 & 21.9239 & 21.87 \tabularnewline
0.5 & 21.94 & 21.94 & 21.94 & 21.94 & 21.94 & 21.94 & 21.94 & 21.94 \tabularnewline
0.51 & 21.9426 & 21.9477 & 21.95 & 21.95 & 21.9475 & 21.94 & 21.9423 & 21.95 \tabularnewline
0.52 & 21.95 & 21.9516 & 21.95 & 21.95 & 21.95 & 21.95 & 21.9884 & 21.95 \tabularnewline
0.53 & 21.9812 & 21.99 & 21.99 & 21.99 & 21.99 & 21.99 & 21.99 & 21.99 \tabularnewline
0.54 & 21.9904 & 21.9958 & 22 & 22 & 21.995 & 21.99 & 21.9942 & 22 \tabularnewline
0.55 & 22 & 22 & 22 & 22 & 22 & 22 & 22 & 22 \tabularnewline
0.56 & 22.0952 & 22.17 & 22.17 & 22.17 & 22.17 & 22.17 & 22.17 & 22.17 \tabularnewline
0.57 & 22.17 & 22.209 & 22.17 & 22.17 & 22.195 & 22.17 & 22.231 & 22.17 \tabularnewline
0.58 & 22.27 & 22.27 & 22.27 & 22.27 & 22.27 & 22.27 & 22.27 & 22.27 \tabularnewline
0.59 & 22.3006 & 22.3537 & 22.36 & 22.36 & 22.3375 & 22.27 & 22.2763 & 22.36 \tabularnewline
0.6 & 22.36 & 22.4 & 22.36 & 22.36 & 22.36 & 22.36 & 22.52 & 22.36 \tabularnewline
0.61 & 22.532 & 22.56 & 22.56 & 22.56 & 22.56 & 22.56 & 22.56 & 22.56 \tabularnewline
0.62 & 22.5636 & 22.5822 & 22.59 & 22.59 & 22.575 & 22.56 & 22.5678 & 22.59 \tabularnewline
0.63 & 22.59 & 22.5927 & 22.59 & 22.59 & 22.59 & 22.59 & 22.8573 & 22.59 \tabularnewline
0.64 & 22.7628 & 22.86 & 22.86 & 22.86 & 22.86 & 22.86 & 22.86 & 22.86 \tabularnewline
0.65 & 22.86 & 22.893 & 22.86 & 22.86 & 22.875 & 22.86 & 22.887 & 22.92 \tabularnewline
0.66 & 22.92 & 22.92 & 22.92 & 22.92 & 22.92 & 22.92 & 22.92 & 22.92 \tabularnewline
0.67 & 22.9956 & 23.1 & 23.1 & 23.1 & 23.055 & 22.92 & 23.1 & 23.1 \tabularnewline
0.68 & 23.1 & 23.1468 & 23.1 & 23.1 & 23.1 & 23.1 & 23.1832 & 23.1 \tabularnewline
0.69 & 23.2222 & 23.23 & 23.23 & 23.23 & 23.23 & 23.23 & 23.23 & 23.23 \tabularnewline
0.7 & 23.242 & 23.284 & 23.29 & 23.29 & 23.26 & 23.23 & 23.236 & 23.29 \tabularnewline
0.71 & 23.29 & 23.3359 & 23.29 & 23.29 & 23.29 & 23.29 & 23.5141 & 23.29 \tabularnewline
0.72 & 23.4844 & 23.56 & 23.56 & 23.56 & 23.56 & 23.56 & 23.56 & 23.56 \tabularnewline
0.73 & 23.56 & 23.8724 & 23.56 & 23.56 & 23.67 & 23.56 & 23.6876 & 24 \tabularnewline
0.74 & 24 & 24 & 24 & 24 & 24 & 24 & 24 & 24 \tabularnewline
0.75 & 24.16 & 24.32 & 24.32 & 24.32 & 24.24 & 24.32 & 24.32 & 24.32 \tabularnewline
0.76 & 24.32 & 25.1624 & 24.32 & 24.32 & 24.32 & 24.32 & 25.0976 & 25.94 \tabularnewline
0.77 & 25.94 & 25.94 & 25.94 & 25.94 & 25.94 & 25.94 & 25.94 & 25.94 \tabularnewline
0.78 & 25.9988 & 26.15 & 26.15 & 26.15 & 26.045 & 25.94 & 26.15 & 26.15 \tabularnewline
0.79 & 26.15 & 26.2193 & 26.15 & 26.15 & 26.15 & 26.15 & 26.2907 & 26.15 \tabularnewline
0.8 & 26.318 & 26.36 & 26.36 & 26.36 & 26.36 & 26.36 & 26.36 & 26.36 \tabularnewline
0.81 & 26.387 & 26.7515 & 26.81 & 26.81 & 26.4725 & 26.36 & 26.4185 & 26.81 \tabularnewline
0.82 & 26.81 & 26.8324 & 26.81 & 26.81 & 26.81 & 26.81 & 26.9476 & 26.81 \tabularnewline
0.83 & 26.9028 & 26.97 & 26.97 & 26.97 & 26.93 & 26.97 & 26.97 & 26.97 \tabularnewline
0.84 & 26.97 & 27.0176 & 26.97 & 26.97 & 26.97 & 26.97 & 26.9924 & 27.04 \tabularnewline
0.85 & 27.04 & 27.04 & 27.04 & 27.04 & 27.04 & 27.04 & 27.04 & 27.04 \tabularnewline
0.86 & 27.1408 & 27.32 & 27.32 & 27.32 & 27.18 & 27.04 & 27.32 & 27.32 \tabularnewline
0.87 & 27.32 & 27.3886 & 27.32 & 27.32 & 27.32 & 27.32 & 27.3914 & 27.32 \tabularnewline
0.88 & 27.4432 & 27.46 & 27.46 & 27.46 & 27.46 & 27.46 & 27.46 & 27.46 \tabularnewline
0.89 & 27.4642 & 27.49 & 27.49 & 27.49 & 27.4675 & 27.46 & 27.49 & 27.49 \tabularnewline
0.9 & 27.49 & 27.517 & 27.49 & 27.49 & 27.49 & 27.49 & 27.553 & 27.49 \tabularnewline
0.91 & 27.5494 & 27.58 & 27.58 & 27.58 & 27.5575 & 27.58 & 27.58 & 27.58 \tabularnewline
0.92 & 27.58 & 27.6892 & 27.58 & 27.58 & 27.58 & 27.58 & 27.6008 & 27.71 \tabularnewline
0.93 & 27.71 & 27.7243 & 27.71 & 27.71 & 27.71 & 27.71 & 27.8257 & 27.71 \tabularnewline
0.94 & 27.7672 & 27.84 & 27.84 & 27.84 & 27.775 & 27.71 & 27.84 & 27.84 \tabularnewline
0.95 & 27.84 & 27.931 & 27.84 & 27.84 & 27.84 & 27.84 & 27.889 & 27.98 \tabularnewline
0.96 & 27.9744 & 27.98 & 27.98 & 27.98 & 27.98 & 27.98 & 27.98 & 27.98 \tabularnewline
0.97 & 27.9844 & 28 & 28 & 28 & 27.985 & 27.98 & 28 & 28 \tabularnewline
0.98 & 28 & 28.1104 & 28 & 28 & 28 & 28 & 28.1296 & 28 \tabularnewline
0.99 & 28.1776 & 28.24 & 28.24 & 28.24 & 28.18 & 28.24 & 28.24 & 28.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202783&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]18.98[/C][C]18.98[/C][C]18.98[/C][C]18.98[/C][C]18.985[/C][C]18.98[/C][C]18.98[/C][C]18.98[/C][/ROW]
[ROW][C]0.02[/C][C]18.9904[/C][C]18.9908[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]18.9892[/C][C]19[/C][/ROW]
[ROW][C]0.03[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19.1575[/C][C]19[/C][C]19[/C][C]19[/C][/ROW]
[ROW][C]0.04[/C][C]19.21[/C][C]19.21[/C][C]19.21[/C][C]19.21[/C][C]19.21[/C][C]19.21[/C][C]19.21[/C][C]19.21[/C][/ROW]
[ROW][C]0.05[/C][C]19.243[/C][C]19.2485[/C][C]19.32[/C][C]19.32[/C][C]19.32[/C][C]19.21[/C][C]19.2815[/C][C]19.21[/C][/ROW]
[ROW][C]0.06[/C][C]19.32[/C][C]19.32[/C][C]19.32[/C][C]19.32[/C][C]19.4[/C][C]19.32[/C][C]19.32[/C][C]19.32[/C][/ROW]
[ROW][C]0.07[/C][C]19.4512[/C][C]19.4624[/C][C]19.48[/C][C]19.48[/C][C]19.48[/C][C]19.48[/C][C]19.3376[/C][C]19.48[/C][/ROW]
[ROW][C]0.08[/C][C]19.4816[/C][C]19.4832[/C][C]19.5[/C][C]19.5[/C][C]19.5[/C][C]19.48[/C][C]19.4968[/C][C]19.48[/C][/ROW]
[ROW][C]0.09[/C][C]19.5[/C][C]19.5[/C][C]19.5[/C][C]19.5[/C][C]19.505[/C][C]19.5[/C][C]19.5[/C][C]19.5[/C][/ROW]
[ROW][C]0.1[/C][C]19.512[/C][C]19.514[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][C]19.506[/C][C]19.52[/C][/ROW]
[ROW][C]0.11[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][/ROW]
[ROW][C]0.12[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][C]19.52[/C][/ROW]
[ROW][C]0.13[/C][C]19.5656[/C][C]19.5812[/C][C]19.64[/C][C]19.64[/C][C]19.64[/C][C]19.52[/C][C]19.5788[/C][C]19.64[/C][/ROW]
[ROW][C]0.14[/C][C]19.64[/C][C]19.64[/C][C]19.64[/C][C]19.64[/C][C]19.695[/C][C]19.64[/C][C]19.64[/C][C]19.64[/C][/ROW]
[ROW][C]0.15[/C][C]19.739[/C][C]19.75[/C][C]19.75[/C][C]19.75[/C][C]19.75[/C][C]19.75[/C][C]19.75[/C][C]19.75[/C][/ROW]
[ROW][C]0.16[/C][C]19.7676[/C][C]19.7852[/C][C]19.86[/C][C]19.86[/C][C]19.86[/C][C]19.75[/C][C]19.8248[/C][C]19.75[/C][/ROW]
[ROW][C]0.17[/C][C]19.86[/C][C]19.86[/C][C]19.86[/C][C]19.86[/C][C]19.865[/C][C]19.86[/C][C]19.86[/C][C]19.86[/C][/ROW]
[ROW][C]0.18[/C][C]19.8736[/C][C]19.8772[/C][C]19.88[/C][C]19.88[/C][C]19.88[/C][C]19.88[/C][C]19.8628[/C][C]19.88[/C][/ROW]
[ROW][C]0.19[/C][C]19.88[/C][C]19.8943[/C][C]19.88[/C][C]19.88[/C][C]19.9625[/C][C]19.88[/C][C]19.9757[/C][C]19.88[/C][/ROW]
[ROW][C]0.2[/C][C]19.99[/C][C]19.99[/C][C]19.99[/C][C]19.99[/C][C]19.99[/C][C]19.99[/C][C]19.99[/C][C]19.99[/C][/ROW]
[ROW][C]0.21[/C][C]20.0268[/C][C]20.0436[/C][C]20.07[/C][C]20.07[/C][C]20.07[/C][C]19.99[/C][C]20.0164[/C][C]20.07[/C][/ROW]
[ROW][C]0.22[/C][C]20.07[/C][C]20.07[/C][C]20.07[/C][C]20.07[/C][C]20.15[/C][C]20.07[/C][C]20.07[/C][C]20.07[/C][/ROW]
[ROW][C]0.23[/C][C]20.2268[/C][C]20.23[/C][C]20.23[/C][C]20.23[/C][C]20.23[/C][C]20.23[/C][C]20.23[/C][C]20.23[/C][/ROW]
[ROW][C]0.24[/C][C]20.242[/C][C]20.254[/C][C]20.28[/C][C]20.28[/C][C]20.28[/C][C]20.23[/C][C]20.256[/C][C]20.23[/C][/ROW]
[ROW][C]0.25[/C][C]20.28[/C][C]20.28[/C][C]20.28[/C][C]20.28[/C][C]20.29[/C][C]20.28[/C][C]20.28[/C][C]20.28[/C][/ROW]
[ROW][C]0.26[/C][C]20.3104[/C][C]20.32[/C][C]20.32[/C][C]20.32[/C][C]20.32[/C][C]20.32[/C][C]20.32[/C][C]20.32[/C][/ROW]
[ROW][C]0.27[/C][C]20.3216[/C][C]20.3432[/C][C]20.4[/C][C]20.4[/C][C]20.38[/C][C]20.32[/C][C]20.3768[/C][C]20.32[/C][/ROW]
[ROW][C]0.28[/C][C]20.4[/C][C]20.4[/C][C]20.4[/C][C]20.4[/C][C]20.4[/C][C]20.4[/C][C]20.4[/C][C]20.4[/C][/ROW]
[ROW][C]0.29[/C][C]20.4378[/C][C]20.4581[/C][C]20.47[/C][C]20.47[/C][C]20.47[/C][C]20.47[/C][C]20.4119[/C][C]20.47[/C][/ROW]
[ROW][C]0.3[/C][C]20.47[/C][C]20.485[/C][C]20.47[/C][C]20.47[/C][C]20.545[/C][C]20.47[/C][C]20.605[/C][C]20.47[/C][/ROW]
[ROW][C]0.31[/C][C]20.62[/C][C]20.62[/C][C]20.62[/C][C]20.62[/C][C]20.62[/C][C]20.62[/C][C]20.62[/C][C]20.62[/C][/ROW]
[ROW][C]0.32[/C][C]20.6744[/C][C]20.7288[/C][C]20.79[/C][C]20.79[/C][C]20.79[/C][C]20.62[/C][C]20.6812[/C][C]20.79[/C][/ROW]
[ROW][C]0.33[/C][C]20.79[/C][C]20.79[/C][C]20.79[/C][C]20.79[/C][C]20.82[/C][C]20.79[/C][C]20.79[/C][C]20.79[/C][/ROW]
[ROW][C]0.34[/C][C]20.8908[/C][C]20.91[/C][C]20.91[/C][C]20.91[/C][C]20.91[/C][C]20.91[/C][C]20.91[/C][C]20.91[/C][/ROW]
[ROW][C]0.35[/C][C]20.93[/C][C]21[/C][C]21.11[/C][C]21.11[/C][C]21.06[/C][C]20.91[/C][C]21.02[/C][C]20.91[/C][/ROW]
[ROW][C]0.36[/C][C]21.11[/C][C]21.11[/C][C]21.11[/C][C]21.11[/C][C]21.11[/C][C]21.11[/C][C]21.11[/C][C]21.11[/C][/ROW]
[ROW][C]0.37[/C][C]21.1472[/C][C]21.1694[/C][C]21.17[/C][C]21.17[/C][C]21.17[/C][C]21.17[/C][C]21.1106[/C][C]21.17[/C][/ROW]
[ROW][C]0.38[/C][C]21.17[/C][C]21.1726[/C][C]21.17[/C][C]21.17[/C][C]21.175[/C][C]21.17[/C][C]21.1774[/C][C]21.17[/C][/ROW]
[ROW][C]0.39[/C][C]21.18[/C][C]21.18[/C][C]21.18[/C][C]21.18[/C][C]21.18[/C][C]21.18[/C][C]21.18[/C][C]21.18[/C][/ROW]
[ROW][C]0.4[/C][C]21.192[/C][C]21.204[/C][C]21.21[/C][C]21.21[/C][C]21.21[/C][C]21.18[/C][C]21.186[/C][C]21.21[/C][/ROW]
[ROW][C]0.41[/C][C]21.21[/C][C]21.2128[/C][C]21.21[/C][C]21.21[/C][C]21.22[/C][C]21.21[/C][C]21.2472[/C][C]21.21[/C][/ROW]
[ROW][C]0.42[/C][C]21.2468[/C][C]21.25[/C][C]21.25[/C][C]21.25[/C][C]21.25[/C][C]21.25[/C][C]21.25[/C][C]21.25[/C][/ROW]
[ROW][C]0.43[/C][C]21.2986[/C][C]21.4147[/C][C]21.52[/C][C]21.52[/C][C]21.4525[/C][C]21.25[/C][C]21.3553[/C][C]21.52[/C][/ROW]
[ROW][C]0.44[/C][C]21.52[/C][C]21.52[/C][C]21.52[/C][C]21.52[/C][C]21.52[/C][C]21.52[/C][C]21.52[/C][C]21.52[/C][/ROW]
[ROW][C]0.45[/C][C]21.618[/C][C]21.66[/C][C]21.66[/C][C]21.66[/C][C]21.66[/C][C]21.66[/C][C]21.66[/C][C]21.66[/C][/ROW]
[ROW][C]0.46[/C][C]21.66[/C][C]21.7314[/C][C]21.66[/C][C]21.66[/C][C]21.745[/C][C]21.66[/C][C]21.7586[/C][C]21.66[/C][/ROW]
[ROW][C]0.47[/C][C]21.83[/C][C]21.83[/C][C]21.83[/C][C]21.83[/C][C]21.83[/C][C]21.83[/C][C]21.83[/C][C]21.83[/C][/ROW]
[ROW][C]0.48[/C][C]21.8492[/C][C]21.8684[/C][C]21.87[/C][C]21.87[/C][C]21.87[/C][C]21.83[/C][C]21.8316[/C][C]21.87[/C][/ROW]
[ROW][C]0.49[/C][C]21.87[/C][C]21.8861[/C][C]21.87[/C][C]21.87[/C][C]21.8875[/C][C]21.87[/C][C]21.9239[/C][C]21.87[/C][/ROW]
[ROW][C]0.5[/C][C]21.94[/C][C]21.94[/C][C]21.94[/C][C]21.94[/C][C]21.94[/C][C]21.94[/C][C]21.94[/C][C]21.94[/C][/ROW]
[ROW][C]0.51[/C][C]21.9426[/C][C]21.9477[/C][C]21.95[/C][C]21.95[/C][C]21.9475[/C][C]21.94[/C][C]21.9423[/C][C]21.95[/C][/ROW]
[ROW][C]0.52[/C][C]21.95[/C][C]21.9516[/C][C]21.95[/C][C]21.95[/C][C]21.95[/C][C]21.95[/C][C]21.9884[/C][C]21.95[/C][/ROW]
[ROW][C]0.53[/C][C]21.9812[/C][C]21.99[/C][C]21.99[/C][C]21.99[/C][C]21.99[/C][C]21.99[/C][C]21.99[/C][C]21.99[/C][/ROW]
[ROW][C]0.54[/C][C]21.9904[/C][C]21.9958[/C][C]22[/C][C]22[/C][C]21.995[/C][C]21.99[/C][C]21.9942[/C][C]22[/C][/ROW]
[ROW][C]0.55[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][C]22[/C][/ROW]
[ROW][C]0.56[/C][C]22.0952[/C][C]22.17[/C][C]22.17[/C][C]22.17[/C][C]22.17[/C][C]22.17[/C][C]22.17[/C][C]22.17[/C][/ROW]
[ROW][C]0.57[/C][C]22.17[/C][C]22.209[/C][C]22.17[/C][C]22.17[/C][C]22.195[/C][C]22.17[/C][C]22.231[/C][C]22.17[/C][/ROW]
[ROW][C]0.58[/C][C]22.27[/C][C]22.27[/C][C]22.27[/C][C]22.27[/C][C]22.27[/C][C]22.27[/C][C]22.27[/C][C]22.27[/C][/ROW]
[ROW][C]0.59[/C][C]22.3006[/C][C]22.3537[/C][C]22.36[/C][C]22.36[/C][C]22.3375[/C][C]22.27[/C][C]22.2763[/C][C]22.36[/C][/ROW]
[ROW][C]0.6[/C][C]22.36[/C][C]22.4[/C][C]22.36[/C][C]22.36[/C][C]22.36[/C][C]22.36[/C][C]22.52[/C][C]22.36[/C][/ROW]
[ROW][C]0.61[/C][C]22.532[/C][C]22.56[/C][C]22.56[/C][C]22.56[/C][C]22.56[/C][C]22.56[/C][C]22.56[/C][C]22.56[/C][/ROW]
[ROW][C]0.62[/C][C]22.5636[/C][C]22.5822[/C][C]22.59[/C][C]22.59[/C][C]22.575[/C][C]22.56[/C][C]22.5678[/C][C]22.59[/C][/ROW]
[ROW][C]0.63[/C][C]22.59[/C][C]22.5927[/C][C]22.59[/C][C]22.59[/C][C]22.59[/C][C]22.59[/C][C]22.8573[/C][C]22.59[/C][/ROW]
[ROW][C]0.64[/C][C]22.7628[/C][C]22.86[/C][C]22.86[/C][C]22.86[/C][C]22.86[/C][C]22.86[/C][C]22.86[/C][C]22.86[/C][/ROW]
[ROW][C]0.65[/C][C]22.86[/C][C]22.893[/C][C]22.86[/C][C]22.86[/C][C]22.875[/C][C]22.86[/C][C]22.887[/C][C]22.92[/C][/ROW]
[ROW][C]0.66[/C][C]22.92[/C][C]22.92[/C][C]22.92[/C][C]22.92[/C][C]22.92[/C][C]22.92[/C][C]22.92[/C][C]22.92[/C][/ROW]
[ROW][C]0.67[/C][C]22.9956[/C][C]23.1[/C][C]23.1[/C][C]23.1[/C][C]23.055[/C][C]22.92[/C][C]23.1[/C][C]23.1[/C][/ROW]
[ROW][C]0.68[/C][C]23.1[/C][C]23.1468[/C][C]23.1[/C][C]23.1[/C][C]23.1[/C][C]23.1[/C][C]23.1832[/C][C]23.1[/C][/ROW]
[ROW][C]0.69[/C][C]23.2222[/C][C]23.23[/C][C]23.23[/C][C]23.23[/C][C]23.23[/C][C]23.23[/C][C]23.23[/C][C]23.23[/C][/ROW]
[ROW][C]0.7[/C][C]23.242[/C][C]23.284[/C][C]23.29[/C][C]23.29[/C][C]23.26[/C][C]23.23[/C][C]23.236[/C][C]23.29[/C][/ROW]
[ROW][C]0.71[/C][C]23.29[/C][C]23.3359[/C][C]23.29[/C][C]23.29[/C][C]23.29[/C][C]23.29[/C][C]23.5141[/C][C]23.29[/C][/ROW]
[ROW][C]0.72[/C][C]23.4844[/C][C]23.56[/C][C]23.56[/C][C]23.56[/C][C]23.56[/C][C]23.56[/C][C]23.56[/C][C]23.56[/C][/ROW]
[ROW][C]0.73[/C][C]23.56[/C][C]23.8724[/C][C]23.56[/C][C]23.56[/C][C]23.67[/C][C]23.56[/C][C]23.6876[/C][C]24[/C][/ROW]
[ROW][C]0.74[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][C]24[/C][/ROW]
[ROW][C]0.75[/C][C]24.16[/C][C]24.32[/C][C]24.32[/C][C]24.32[/C][C]24.24[/C][C]24.32[/C][C]24.32[/C][C]24.32[/C][/ROW]
[ROW][C]0.76[/C][C]24.32[/C][C]25.1624[/C][C]24.32[/C][C]24.32[/C][C]24.32[/C][C]24.32[/C][C]25.0976[/C][C]25.94[/C][/ROW]
[ROW][C]0.77[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][C]25.94[/C][/ROW]
[ROW][C]0.78[/C][C]25.9988[/C][C]26.15[/C][C]26.15[/C][C]26.15[/C][C]26.045[/C][C]25.94[/C][C]26.15[/C][C]26.15[/C][/ROW]
[ROW][C]0.79[/C][C]26.15[/C][C]26.2193[/C][C]26.15[/C][C]26.15[/C][C]26.15[/C][C]26.15[/C][C]26.2907[/C][C]26.15[/C][/ROW]
[ROW][C]0.8[/C][C]26.318[/C][C]26.36[/C][C]26.36[/C][C]26.36[/C][C]26.36[/C][C]26.36[/C][C]26.36[/C][C]26.36[/C][/ROW]
[ROW][C]0.81[/C][C]26.387[/C][C]26.7515[/C][C]26.81[/C][C]26.81[/C][C]26.4725[/C][C]26.36[/C][C]26.4185[/C][C]26.81[/C][/ROW]
[ROW][C]0.82[/C][C]26.81[/C][C]26.8324[/C][C]26.81[/C][C]26.81[/C][C]26.81[/C][C]26.81[/C][C]26.9476[/C][C]26.81[/C][/ROW]
[ROW][C]0.83[/C][C]26.9028[/C][C]26.97[/C][C]26.97[/C][C]26.97[/C][C]26.93[/C][C]26.97[/C][C]26.97[/C][C]26.97[/C][/ROW]
[ROW][C]0.84[/C][C]26.97[/C][C]27.0176[/C][C]26.97[/C][C]26.97[/C][C]26.97[/C][C]26.97[/C][C]26.9924[/C][C]27.04[/C][/ROW]
[ROW][C]0.85[/C][C]27.04[/C][C]27.04[/C][C]27.04[/C][C]27.04[/C][C]27.04[/C][C]27.04[/C][C]27.04[/C][C]27.04[/C][/ROW]
[ROW][C]0.86[/C][C]27.1408[/C][C]27.32[/C][C]27.32[/C][C]27.32[/C][C]27.18[/C][C]27.04[/C][C]27.32[/C][C]27.32[/C][/ROW]
[ROW][C]0.87[/C][C]27.32[/C][C]27.3886[/C][C]27.32[/C][C]27.32[/C][C]27.32[/C][C]27.32[/C][C]27.3914[/C][C]27.32[/C][/ROW]
[ROW][C]0.88[/C][C]27.4432[/C][C]27.46[/C][C]27.46[/C][C]27.46[/C][C]27.46[/C][C]27.46[/C][C]27.46[/C][C]27.46[/C][/ROW]
[ROW][C]0.89[/C][C]27.4642[/C][C]27.49[/C][C]27.49[/C][C]27.49[/C][C]27.4675[/C][C]27.46[/C][C]27.49[/C][C]27.49[/C][/ROW]
[ROW][C]0.9[/C][C]27.49[/C][C]27.517[/C][C]27.49[/C][C]27.49[/C][C]27.49[/C][C]27.49[/C][C]27.553[/C][C]27.49[/C][/ROW]
[ROW][C]0.91[/C][C]27.5494[/C][C]27.58[/C][C]27.58[/C][C]27.58[/C][C]27.5575[/C][C]27.58[/C][C]27.58[/C][C]27.58[/C][/ROW]
[ROW][C]0.92[/C][C]27.58[/C][C]27.6892[/C][C]27.58[/C][C]27.58[/C][C]27.58[/C][C]27.58[/C][C]27.6008[/C][C]27.71[/C][/ROW]
[ROW][C]0.93[/C][C]27.71[/C][C]27.7243[/C][C]27.71[/C][C]27.71[/C][C]27.71[/C][C]27.71[/C][C]27.8257[/C][C]27.71[/C][/ROW]
[ROW][C]0.94[/C][C]27.7672[/C][C]27.84[/C][C]27.84[/C][C]27.84[/C][C]27.775[/C][C]27.71[/C][C]27.84[/C][C]27.84[/C][/ROW]
[ROW][C]0.95[/C][C]27.84[/C][C]27.931[/C][C]27.84[/C][C]27.84[/C][C]27.84[/C][C]27.84[/C][C]27.889[/C][C]27.98[/C][/ROW]
[ROW][C]0.96[/C][C]27.9744[/C][C]27.98[/C][C]27.98[/C][C]27.98[/C][C]27.98[/C][C]27.98[/C][C]27.98[/C][C]27.98[/C][/ROW]
[ROW][C]0.97[/C][C]27.9844[/C][C]28[/C][C]28[/C][C]28[/C][C]27.985[/C][C]27.98[/C][C]28[/C][C]28[/C][/ROW]
[ROW][C]0.98[/C][C]28[/C][C]28.1104[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28.1296[/C][C]28[/C][/ROW]
[ROW][C]0.99[/C][C]28.1776[/C][C]28.24[/C][C]28.24[/C][C]28.24[/C][C]28.18[/C][C]28.24[/C][C]28.24[/C][C]28.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202783&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202783&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	18.98	18.98	18.98	18.98	18.985	18.98	18.98	18.98
0.02	18.9904	18.9908	19	19	19	19	18.9892	19
0.03	19	19	19	19	19.1575	19	19	19
0.04	19.21	19.21	19.21	19.21	19.21	19.21	19.21	19.21
0.05	19.243	19.2485	19.32	19.32	19.32	19.21	19.2815	19.21
0.06	19.32	19.32	19.32	19.32	19.4	19.32	19.32	19.32
0.07	19.4512	19.4624	19.48	19.48	19.48	19.48	19.3376	19.48
0.08	19.4816	19.4832	19.5	19.5	19.5	19.48	19.4968	19.48
0.09	19.5	19.5	19.5	19.5	19.505	19.5	19.5	19.5
0.1	19.512	19.514	19.52	19.52	19.52	19.52	19.506	19.52
0.11	19.52	19.52	19.52	19.52	19.52	19.52	19.52	19.52
0.12	19.52	19.52	19.52	19.52	19.52	19.52	19.52	19.52
0.13	19.5656	19.5812	19.64	19.64	19.64	19.52	19.5788	19.64
0.14	19.64	19.64	19.64	19.64	19.695	19.64	19.64	19.64
0.15	19.739	19.75	19.75	19.75	19.75	19.75	19.75	19.75
0.16	19.7676	19.7852	19.86	19.86	19.86	19.75	19.8248	19.75
0.17	19.86	19.86	19.86	19.86	19.865	19.86	19.86	19.86
0.18	19.8736	19.8772	19.88	19.88	19.88	19.88	19.8628	19.88
0.19	19.88	19.8943	19.88	19.88	19.9625	19.88	19.9757	19.88
0.2	19.99	19.99	19.99	19.99	19.99	19.99	19.99	19.99
0.21	20.0268	20.0436	20.07	20.07	20.07	19.99	20.0164	20.07
0.22	20.07	20.07	20.07	20.07	20.15	20.07	20.07	20.07
0.23	20.2268	20.23	20.23	20.23	20.23	20.23	20.23	20.23
0.24	20.242	20.254	20.28	20.28	20.28	20.23	20.256	20.23
0.25	20.28	20.28	20.28	20.28	20.29	20.28	20.28	20.28
0.26	20.3104	20.32	20.32	20.32	20.32	20.32	20.32	20.32
0.27	20.3216	20.3432	20.4	20.4	20.38	20.32	20.3768	20.32
0.28	20.4	20.4	20.4	20.4	20.4	20.4	20.4	20.4
0.29	20.4378	20.4581	20.47	20.47	20.47	20.47	20.4119	20.47
0.3	20.47	20.485	20.47	20.47	20.545	20.47	20.605	20.47
0.31	20.62	20.62	20.62	20.62	20.62	20.62	20.62	20.62
0.32	20.6744	20.7288	20.79	20.79	20.79	20.62	20.6812	20.79
0.33	20.79	20.79	20.79	20.79	20.82	20.79	20.79	20.79
0.34	20.8908	20.91	20.91	20.91	20.91	20.91	20.91	20.91
0.35	20.93	21	21.11	21.11	21.06	20.91	21.02	20.91
0.36	21.11	21.11	21.11	21.11	21.11	21.11	21.11	21.11
0.37	21.1472	21.1694	21.17	21.17	21.17	21.17	21.1106	21.17
0.38	21.17	21.1726	21.17	21.17	21.175	21.17	21.1774	21.17
0.39	21.18	21.18	21.18	21.18	21.18	21.18	21.18	21.18
0.4	21.192	21.204	21.21	21.21	21.21	21.18	21.186	21.21
0.41	21.21	21.2128	21.21	21.21	21.22	21.21	21.2472	21.21
0.42	21.2468	21.25	21.25	21.25	21.25	21.25	21.25	21.25
0.43	21.2986	21.4147	21.52	21.52	21.4525	21.25	21.3553	21.52
0.44	21.52	21.52	21.52	21.52	21.52	21.52	21.52	21.52
0.45	21.618	21.66	21.66	21.66	21.66	21.66	21.66	21.66
0.46	21.66	21.7314	21.66	21.66	21.745	21.66	21.7586	21.66
0.47	21.83	21.83	21.83	21.83	21.83	21.83	21.83	21.83
0.48	21.8492	21.8684	21.87	21.87	21.87	21.83	21.8316	21.87
0.49	21.87	21.8861	21.87	21.87	21.8875	21.87	21.9239	21.87
0.5	21.94	21.94	21.94	21.94	21.94	21.94	21.94	21.94
0.51	21.9426	21.9477	21.95	21.95	21.9475	21.94	21.9423	21.95
0.52	21.95	21.9516	21.95	21.95	21.95	21.95	21.9884	21.95
0.53	21.9812	21.99	21.99	21.99	21.99	21.99	21.99	21.99
0.54	21.9904	21.9958	22	22	21.995	21.99	21.9942	22
0.55	22	22	22	22	22	22	22	22
0.56	22.0952	22.17	22.17	22.17	22.17	22.17	22.17	22.17
0.57	22.17	22.209	22.17	22.17	22.195	22.17	22.231	22.17
0.58	22.27	22.27	22.27	22.27	22.27	22.27	22.27	22.27
0.59	22.3006	22.3537	22.36	22.36	22.3375	22.27	22.2763	22.36
0.6	22.36	22.4	22.36	22.36	22.36	22.36	22.52	22.36
0.61	22.532	22.56	22.56	22.56	22.56	22.56	22.56	22.56
0.62	22.5636	22.5822	22.59	22.59	22.575	22.56	22.5678	22.59
0.63	22.59	22.5927	22.59	22.59	22.59	22.59	22.8573	22.59
0.64	22.7628	22.86	22.86	22.86	22.86	22.86	22.86	22.86
0.65	22.86	22.893	22.86	22.86	22.875	22.86	22.887	22.92
0.66	22.92	22.92	22.92	22.92	22.92	22.92	22.92	22.92
0.67	22.9956	23.1	23.1	23.1	23.055	22.92	23.1	23.1
0.68	23.1	23.1468	23.1	23.1	23.1	23.1	23.1832	23.1
0.69	23.2222	23.23	23.23	23.23	23.23	23.23	23.23	23.23
0.7	23.242	23.284	23.29	23.29	23.26	23.23	23.236	23.29
0.71	23.29	23.3359	23.29	23.29	23.29	23.29	23.5141	23.29
0.72	23.4844	23.56	23.56	23.56	23.56	23.56	23.56	23.56
0.73	23.56	23.8724	23.56	23.56	23.67	23.56	23.6876	24
0.74	24	24	24	24	24	24	24	24
0.75	24.16	24.32	24.32	24.32	24.24	24.32	24.32	24.32
0.76	24.32	25.1624	24.32	24.32	24.32	24.32	25.0976	25.94
0.77	25.94	25.94	25.94	25.94	25.94	25.94	25.94	25.94
0.78	25.9988	26.15	26.15	26.15	26.045	25.94	26.15	26.15
0.79	26.15	26.2193	26.15	26.15	26.15	26.15	26.2907	26.15
0.8	26.318	26.36	26.36	26.36	26.36	26.36	26.36	26.36
0.81	26.387	26.7515	26.81	26.81	26.4725	26.36	26.4185	26.81
0.82	26.81	26.8324	26.81	26.81	26.81	26.81	26.9476	26.81
0.83	26.9028	26.97	26.97	26.97	26.93	26.97	26.97	26.97
0.84	26.97	27.0176	26.97	26.97	26.97	26.97	26.9924	27.04
0.85	27.04	27.04	27.04	27.04	27.04	27.04	27.04	27.04
0.86	27.1408	27.32	27.32	27.32	27.18	27.04	27.32	27.32
0.87	27.32	27.3886	27.32	27.32	27.32	27.32	27.3914	27.32
0.88	27.4432	27.46	27.46	27.46	27.46	27.46	27.46	27.46
0.89	27.4642	27.49	27.49	27.49	27.4675	27.46	27.49	27.49
0.9	27.49	27.517	27.49	27.49	27.49	27.49	27.553	27.49
0.91	27.5494	27.58	27.58	27.58	27.5575	27.58	27.58	27.58
0.92	27.58	27.6892	27.58	27.58	27.58	27.58	27.6008	27.71
0.93	27.71	27.7243	27.71	27.71	27.71	27.71	27.8257	27.71
0.94	27.7672	27.84	27.84	27.84	27.775	27.71	27.84	27.84
0.95	27.84	27.931	27.84	27.84	27.84	27.84	27.889	27.98
0.96	27.9744	27.98	27.98	27.98	27.98	27.98	27.98	27.98
0.97	27.9844	28	28	28	27.985	27.98	28	28
0.98	28	28.1104	28	28	28	28	28.1296	28
0.99	28.1776	28.24	28.24	28.24	28.18	28.24	28.24	28.24

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = grey ;

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