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rwasp_percentiles.wasp

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Percentiles

Date of computation

Fri, 18 Dec 2009 07:15:26 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/18/t1261145793yahu5smzwjw914u.htm/, Retrieved Thu, 30 Apr 2026 14:09:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69359, Retrieved Thu, 30 Apr 2026 14:09:30 +0000

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Estimated Impact

363

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

-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
F RMPD  [Univariate Explorative Data Analysis] [Colombia Coffee] [2008-01-07 14:21:11] [74be16979710d4c4e7c6647856088456]
F RMPD    [Univariate Data Series] [] [2009-10-14 08:30:28] [74be16979710d4c4e7c6647856088456]
- RMPD        [Percentiles] [gezond percentiles] [2009-12-18 14:15:26] [f47dffd5f5a8c03c3681db4cc9472742] [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	7 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 7 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69359&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]7 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69359&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69359&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	7 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Percentiles - Ungrouped Data
p	Weighted Average at Xnp	Weighted Average at X(n+1)p	Empirical Distribution Function	Empirical Distribution Function - Averaging	Empirical Distribution Function - Interpolation	Closest Observation	True Basic - Statistics Graphics Toolkit	MS Excel (old versions)
0.02	100.8954	100.906	101.33	101.33	101.4132	100.8	101.224	100.8
0.04	101.5172	101.538	101.85	101.85	101.8596	101.33	101.642	101.33
0.06	101.8662	101.868	101.88	101.88	101.9568	101.88	101.862	101.88
0.08	101.9952	102.008	102.04	102.04	102.1552	102.04	101.912	102.04
0.1	102.202	102.22	102.22	102.22	102.34	102.22	102.22	102.22
0.12	102.3836	102.404	102.54	102.54	102.5332	102.37	102.506	102.37
0.14	102.5634	102.576	102.63	102.63	102.6324	102.54	102.594	102.54
0.16	102.6388	102.642	102.65	102.65	102.6584	102.63	102.638	102.65
0.18	102.6686	102.674	102.68	102.68	102.7152	102.68	102.656	102.68
0.2	102.744	102.76	102.76	102.76	102.796	102.76	102.76	102.76
0.22	102.8188	102.902	102.82	102.82	103.1316	102.82	103.148	102.82
0.24	103.2428	103.262	103.31	103.31	103.3036	103.23	103.278	103.23
0.26	103.4086	103.484	103.6	103.6	103.6264	103.31	103.426	103.6
0.28	103.7716	103.864	103.93	103.93	103.9348	103.93	103.666	103.93
0.3	103.944	103.95	103.95	103.95	104.07	103.95	103.95	103.95
0.32	104.214	104.264	104.25	104.25	104.2892	104.25	104.306	104.25
0.34	104.3224	104.336	104.36	104.36	104.3488	104.32	104.344	104.32
0.36	104.3648	104.372	104.38	104.38	104.3776	104.36	104.368	104.38
0.38	104.464	104.54	104.58	104.58	104.584	104.38	104.42	104.58
0.4	104.64	104.68	104.68	104.68	104.728	104.68	104.68	104.68
0.42	104.8672	104.982	104.92	104.92	105.0316	104.92	105.168	104.92
0.44	105.2176	105.25	105.23	105.23	105.256	105.23	105.26	105.23
0.46	105.2884	105.316	105.34	105.34	105.3208	105.28	105.304	105.34
0.48	105.3784	105.436	105.46	105.46	105.4408	105.34	105.364	105.46
0.5	105.52	105.58	105.58	105.58	105.58	105.58	105.58	105.58
0.52	105.6412	105.676	105.67	105.67	105.6748	105.67	105.694	105.67
0.54	105.6958	105.704	105.7	105.7	105.7032	105.7	105.706	105.7
0.56	105.7292	105.998	106.19	106.19	105.9404	105.71	105.902	106.19
0.58	106.3528	106.782	106.93	106.93	106.6636	106.19	106.338	106.93
0.6	107.134	107.44	107.44	107.44	107.338	106.93	107.44	107.44
0.62	107.6778	108.022	107.85	107.85	107.8336	107.85	108.538	107.85
0.64	108.5036	108.954	108.71	108.71	108.7832	108.71	109.076	108.71
0.66	109.2834	109.422	109.32	109.32	109.3676	109.32	109.388	109.49
0.68	109.5752	110.058	110.2	110.2	109.8024	109.49	109.632	110.2
0.7	110.278	110.46	110.46	110.46	110.356	110.2	110.46	110.46
0.72	110.4696	110.484	110.48	110.48	110.4752	110.46	110.496	110.48
0.74	110.4932	110.548	110.5	110.5	110.4984	110.5	110.572	110.5
0.76	110.6008	110.632	110.62	110.62	110.6216	110.62	110.628	110.64
0.78	110.6404	110.656	110.66	110.66	110.6448	110.64	110.644	110.66
0.8	110.678	110.75	110.75	110.75	110.696	110.66	110.75	110.75
0.82	110.7994	110.896	110.88	110.88	110.8228	110.75	110.944	110.88
0.84	110.9248	111.004	110.96	110.96	110.9376	110.96	111.026	110.96
0.86	111.0414	111.082	111.07	111.07	111.0568	111.07	111.078	111.09
0.88	111.0884	111.138	111.09	111.09	111.0924	111.09	111.102	111.15
0.9	111.152	111.17	111.17	111.17	111.154	111.15	111.17	111.17
0.92	111.184	111.224	111.22	111.22	111.188	111.17	111.236	111.22
0.94	111.2292	111.26	111.24	111.24	111.2304	111.22	111.27	111.24
0.96	111.272	111.386	111.29	111.29	111.274	111.29	111.354	111.45
0.98	111.4212	111.69	111.45	111.45	111.4244	111.45	111.51	111.75

\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
0.02 & 100.8954 & 100.906 & 101.33 & 101.33 & 101.4132 & 100.8 & 101.224 & 100.8 \tabularnewline
0.04 & 101.5172 & 101.538 & 101.85 & 101.85 & 101.8596 & 101.33 & 101.642 & 101.33 \tabularnewline
0.06 & 101.8662 & 101.868 & 101.88 & 101.88 & 101.9568 & 101.88 & 101.862 & 101.88 \tabularnewline
0.08 & 101.9952 & 102.008 & 102.04 & 102.04 & 102.1552 & 102.04 & 101.912 & 102.04 \tabularnewline
0.1 & 102.202 & 102.22 & 102.22 & 102.22 & 102.34 & 102.22 & 102.22 & 102.22 \tabularnewline
0.12 & 102.3836 & 102.404 & 102.54 & 102.54 & 102.5332 & 102.37 & 102.506 & 102.37 \tabularnewline
0.14 & 102.5634 & 102.576 & 102.63 & 102.63 & 102.6324 & 102.54 & 102.594 & 102.54 \tabularnewline
0.16 & 102.6388 & 102.642 & 102.65 & 102.65 & 102.6584 & 102.63 & 102.638 & 102.65 \tabularnewline
0.18 & 102.6686 & 102.674 & 102.68 & 102.68 & 102.7152 & 102.68 & 102.656 & 102.68 \tabularnewline
0.2 & 102.744 & 102.76 & 102.76 & 102.76 & 102.796 & 102.76 & 102.76 & 102.76 \tabularnewline
0.22 & 102.8188 & 102.902 & 102.82 & 102.82 & 103.1316 & 102.82 & 103.148 & 102.82 \tabularnewline
0.24 & 103.2428 & 103.262 & 103.31 & 103.31 & 103.3036 & 103.23 & 103.278 & 103.23 \tabularnewline
0.26 & 103.4086 & 103.484 & 103.6 & 103.6 & 103.6264 & 103.31 & 103.426 & 103.6 \tabularnewline
0.28 & 103.7716 & 103.864 & 103.93 & 103.93 & 103.9348 & 103.93 & 103.666 & 103.93 \tabularnewline
0.3 & 103.944 & 103.95 & 103.95 & 103.95 & 104.07 & 103.95 & 103.95 & 103.95 \tabularnewline
0.32 & 104.214 & 104.264 & 104.25 & 104.25 & 104.2892 & 104.25 & 104.306 & 104.25 \tabularnewline
0.34 & 104.3224 & 104.336 & 104.36 & 104.36 & 104.3488 & 104.32 & 104.344 & 104.32 \tabularnewline
0.36 & 104.3648 & 104.372 & 104.38 & 104.38 & 104.3776 & 104.36 & 104.368 & 104.38 \tabularnewline
0.38 & 104.464 & 104.54 & 104.58 & 104.58 & 104.584 & 104.38 & 104.42 & 104.58 \tabularnewline
0.4 & 104.64 & 104.68 & 104.68 & 104.68 & 104.728 & 104.68 & 104.68 & 104.68 \tabularnewline
0.42 & 104.8672 & 104.982 & 104.92 & 104.92 & 105.0316 & 104.92 & 105.168 & 104.92 \tabularnewline
0.44 & 105.2176 & 105.25 & 105.23 & 105.23 & 105.256 & 105.23 & 105.26 & 105.23 \tabularnewline
0.46 & 105.2884 & 105.316 & 105.34 & 105.34 & 105.3208 & 105.28 & 105.304 & 105.34 \tabularnewline
0.48 & 105.3784 & 105.436 & 105.46 & 105.46 & 105.4408 & 105.34 & 105.364 & 105.46 \tabularnewline
0.5 & 105.52 & 105.58 & 105.58 & 105.58 & 105.58 & 105.58 & 105.58 & 105.58 \tabularnewline
0.52 & 105.6412 & 105.676 & 105.67 & 105.67 & 105.6748 & 105.67 & 105.694 & 105.67 \tabularnewline
0.54 & 105.6958 & 105.704 & 105.7 & 105.7 & 105.7032 & 105.7 & 105.706 & 105.7 \tabularnewline
0.56 & 105.7292 & 105.998 & 106.19 & 106.19 & 105.9404 & 105.71 & 105.902 & 106.19 \tabularnewline
0.58 & 106.3528 & 106.782 & 106.93 & 106.93 & 106.6636 & 106.19 & 106.338 & 106.93 \tabularnewline
0.6 & 107.134 & 107.44 & 107.44 & 107.44 & 107.338 & 106.93 & 107.44 & 107.44 \tabularnewline
0.62 & 107.6778 & 108.022 & 107.85 & 107.85 & 107.8336 & 107.85 & 108.538 & 107.85 \tabularnewline
0.64 & 108.5036 & 108.954 & 108.71 & 108.71 & 108.7832 & 108.71 & 109.076 & 108.71 \tabularnewline
0.66 & 109.2834 & 109.422 & 109.32 & 109.32 & 109.3676 & 109.32 & 109.388 & 109.49 \tabularnewline
0.68 & 109.5752 & 110.058 & 110.2 & 110.2 & 109.8024 & 109.49 & 109.632 & 110.2 \tabularnewline
0.7 & 110.278 & 110.46 & 110.46 & 110.46 & 110.356 & 110.2 & 110.46 & 110.46 \tabularnewline
0.72 & 110.4696 & 110.484 & 110.48 & 110.48 & 110.4752 & 110.46 & 110.496 & 110.48 \tabularnewline
0.74 & 110.4932 & 110.548 & 110.5 & 110.5 & 110.4984 & 110.5 & 110.572 & 110.5 \tabularnewline
0.76 & 110.6008 & 110.632 & 110.62 & 110.62 & 110.6216 & 110.62 & 110.628 & 110.64 \tabularnewline
0.78 & 110.6404 & 110.656 & 110.66 & 110.66 & 110.6448 & 110.64 & 110.644 & 110.66 \tabularnewline
0.8 & 110.678 & 110.75 & 110.75 & 110.75 & 110.696 & 110.66 & 110.75 & 110.75 \tabularnewline
0.82 & 110.7994 & 110.896 & 110.88 & 110.88 & 110.8228 & 110.75 & 110.944 & 110.88 \tabularnewline
0.84 & 110.9248 & 111.004 & 110.96 & 110.96 & 110.9376 & 110.96 & 111.026 & 110.96 \tabularnewline
0.86 & 111.0414 & 111.082 & 111.07 & 111.07 & 111.0568 & 111.07 & 111.078 & 111.09 \tabularnewline
0.88 & 111.0884 & 111.138 & 111.09 & 111.09 & 111.0924 & 111.09 & 111.102 & 111.15 \tabularnewline
0.9 & 111.152 & 111.17 & 111.17 & 111.17 & 111.154 & 111.15 & 111.17 & 111.17 \tabularnewline
0.92 & 111.184 & 111.224 & 111.22 & 111.22 & 111.188 & 111.17 & 111.236 & 111.22 \tabularnewline
0.94 & 111.2292 & 111.26 & 111.24 & 111.24 & 111.2304 & 111.22 & 111.27 & 111.24 \tabularnewline
0.96 & 111.272 & 111.386 & 111.29 & 111.29 & 111.274 & 111.29 & 111.354 & 111.45 \tabularnewline
0.98 & 111.4212 & 111.69 & 111.45 & 111.45 & 111.4244 & 111.45 & 111.51 & 111.75 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69359&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]0.02[/C][C]100.8954[/C][C]100.906[/C][C]101.33[/C][C]101.33[/C][C]101.4132[/C][C]100.8[/C][C]101.224[/C][C]100.8[/C][/ROW]
[ROW][C]0.04[/C][C]101.5172[/C][C]101.538[/C][C]101.85[/C][C]101.85[/C][C]101.8596[/C][C]101.33[/C][C]101.642[/C][C]101.33[/C][/ROW]
[ROW][C]0.06[/C][C]101.8662[/C][C]101.868[/C][C]101.88[/C][C]101.88[/C][C]101.9568[/C][C]101.88[/C][C]101.862[/C][C]101.88[/C][/ROW]
[ROW][C]0.08[/C][C]101.9952[/C][C]102.008[/C][C]102.04[/C][C]102.04[/C][C]102.1552[/C][C]102.04[/C][C]101.912[/C][C]102.04[/C][/ROW]
[ROW][C]0.1[/C][C]102.202[/C][C]102.22[/C][C]102.22[/C][C]102.22[/C][C]102.34[/C][C]102.22[/C][C]102.22[/C][C]102.22[/C][/ROW]
[ROW][C]0.12[/C][C]102.3836[/C][C]102.404[/C][C]102.54[/C][C]102.54[/C][C]102.5332[/C][C]102.37[/C][C]102.506[/C][C]102.37[/C][/ROW]
[ROW][C]0.14[/C][C]102.5634[/C][C]102.576[/C][C]102.63[/C][C]102.63[/C][C]102.6324[/C][C]102.54[/C][C]102.594[/C][C]102.54[/C][/ROW]
[ROW][C]0.16[/C][C]102.6388[/C][C]102.642[/C][C]102.65[/C][C]102.65[/C][C]102.6584[/C][C]102.63[/C][C]102.638[/C][C]102.65[/C][/ROW]
[ROW][C]0.18[/C][C]102.6686[/C][C]102.674[/C][C]102.68[/C][C]102.68[/C][C]102.7152[/C][C]102.68[/C][C]102.656[/C][C]102.68[/C][/ROW]
[ROW][C]0.2[/C][C]102.744[/C][C]102.76[/C][C]102.76[/C][C]102.76[/C][C]102.796[/C][C]102.76[/C][C]102.76[/C][C]102.76[/C][/ROW]
[ROW][C]0.22[/C][C]102.8188[/C][C]102.902[/C][C]102.82[/C][C]102.82[/C][C]103.1316[/C][C]102.82[/C][C]103.148[/C][C]102.82[/C][/ROW]
[ROW][C]0.24[/C][C]103.2428[/C][C]103.262[/C][C]103.31[/C][C]103.31[/C][C]103.3036[/C][C]103.23[/C][C]103.278[/C][C]103.23[/C][/ROW]
[ROW][C]0.26[/C][C]103.4086[/C][C]103.484[/C][C]103.6[/C][C]103.6[/C][C]103.6264[/C][C]103.31[/C][C]103.426[/C][C]103.6[/C][/ROW]
[ROW][C]0.28[/C][C]103.7716[/C][C]103.864[/C][C]103.93[/C][C]103.93[/C][C]103.9348[/C][C]103.93[/C][C]103.666[/C][C]103.93[/C][/ROW]
[ROW][C]0.3[/C][C]103.944[/C][C]103.95[/C][C]103.95[/C][C]103.95[/C][C]104.07[/C][C]103.95[/C][C]103.95[/C][C]103.95[/C][/ROW]
[ROW][C]0.32[/C][C]104.214[/C][C]104.264[/C][C]104.25[/C][C]104.25[/C][C]104.2892[/C][C]104.25[/C][C]104.306[/C][C]104.25[/C][/ROW]
[ROW][C]0.34[/C][C]104.3224[/C][C]104.336[/C][C]104.36[/C][C]104.36[/C][C]104.3488[/C][C]104.32[/C][C]104.344[/C][C]104.32[/C][/ROW]
[ROW][C]0.36[/C][C]104.3648[/C][C]104.372[/C][C]104.38[/C][C]104.38[/C][C]104.3776[/C][C]104.36[/C][C]104.368[/C][C]104.38[/C][/ROW]
[ROW][C]0.38[/C][C]104.464[/C][C]104.54[/C][C]104.58[/C][C]104.58[/C][C]104.584[/C][C]104.38[/C][C]104.42[/C][C]104.58[/C][/ROW]
[ROW][C]0.4[/C][C]104.64[/C][C]104.68[/C][C]104.68[/C][C]104.68[/C][C]104.728[/C][C]104.68[/C][C]104.68[/C][C]104.68[/C][/ROW]
[ROW][C]0.42[/C][C]104.8672[/C][C]104.982[/C][C]104.92[/C][C]104.92[/C][C]105.0316[/C][C]104.92[/C][C]105.168[/C][C]104.92[/C][/ROW]
[ROW][C]0.44[/C][C]105.2176[/C][C]105.25[/C][C]105.23[/C][C]105.23[/C][C]105.256[/C][C]105.23[/C][C]105.26[/C][C]105.23[/C][/ROW]
[ROW][C]0.46[/C][C]105.2884[/C][C]105.316[/C][C]105.34[/C][C]105.34[/C][C]105.3208[/C][C]105.28[/C][C]105.304[/C][C]105.34[/C][/ROW]
[ROW][C]0.48[/C][C]105.3784[/C][C]105.436[/C][C]105.46[/C][C]105.46[/C][C]105.4408[/C][C]105.34[/C][C]105.364[/C][C]105.46[/C][/ROW]
[ROW][C]0.5[/C][C]105.52[/C][C]105.58[/C][C]105.58[/C][C]105.58[/C][C]105.58[/C][C]105.58[/C][C]105.58[/C][C]105.58[/C][/ROW]
[ROW][C]0.52[/C][C]105.6412[/C][C]105.676[/C][C]105.67[/C][C]105.67[/C][C]105.6748[/C][C]105.67[/C][C]105.694[/C][C]105.67[/C][/ROW]
[ROW][C]0.54[/C][C]105.6958[/C][C]105.704[/C][C]105.7[/C][C]105.7[/C][C]105.7032[/C][C]105.7[/C][C]105.706[/C][C]105.7[/C][/ROW]
[ROW][C]0.56[/C][C]105.7292[/C][C]105.998[/C][C]106.19[/C][C]106.19[/C][C]105.9404[/C][C]105.71[/C][C]105.902[/C][C]106.19[/C][/ROW]
[ROW][C]0.58[/C][C]106.3528[/C][C]106.782[/C][C]106.93[/C][C]106.93[/C][C]106.6636[/C][C]106.19[/C][C]106.338[/C][C]106.93[/C][/ROW]
[ROW][C]0.6[/C][C]107.134[/C][C]107.44[/C][C]107.44[/C][C]107.44[/C][C]107.338[/C][C]106.93[/C][C]107.44[/C][C]107.44[/C][/ROW]
[ROW][C]0.62[/C][C]107.6778[/C][C]108.022[/C][C]107.85[/C][C]107.85[/C][C]107.8336[/C][C]107.85[/C][C]108.538[/C][C]107.85[/C][/ROW]
[ROW][C]0.64[/C][C]108.5036[/C][C]108.954[/C][C]108.71[/C][C]108.71[/C][C]108.7832[/C][C]108.71[/C][C]109.076[/C][C]108.71[/C][/ROW]
[ROW][C]0.66[/C][C]109.2834[/C][C]109.422[/C][C]109.32[/C][C]109.32[/C][C]109.3676[/C][C]109.32[/C][C]109.388[/C][C]109.49[/C][/ROW]
[ROW][C]0.68[/C][C]109.5752[/C][C]110.058[/C][C]110.2[/C][C]110.2[/C][C]109.8024[/C][C]109.49[/C][C]109.632[/C][C]110.2[/C][/ROW]
[ROW][C]0.7[/C][C]110.278[/C][C]110.46[/C][C]110.46[/C][C]110.46[/C][C]110.356[/C][C]110.2[/C][C]110.46[/C][C]110.46[/C][/ROW]
[ROW][C]0.72[/C][C]110.4696[/C][C]110.484[/C][C]110.48[/C][C]110.48[/C][C]110.4752[/C][C]110.46[/C][C]110.496[/C][C]110.48[/C][/ROW]
[ROW][C]0.74[/C][C]110.4932[/C][C]110.548[/C][C]110.5[/C][C]110.5[/C][C]110.4984[/C][C]110.5[/C][C]110.572[/C][C]110.5[/C][/ROW]
[ROW][C]0.76[/C][C]110.6008[/C][C]110.632[/C][C]110.62[/C][C]110.62[/C][C]110.6216[/C][C]110.62[/C][C]110.628[/C][C]110.64[/C][/ROW]
[ROW][C]0.78[/C][C]110.6404[/C][C]110.656[/C][C]110.66[/C][C]110.66[/C][C]110.6448[/C][C]110.64[/C][C]110.644[/C][C]110.66[/C][/ROW]
[ROW][C]0.8[/C][C]110.678[/C][C]110.75[/C][C]110.75[/C][C]110.75[/C][C]110.696[/C][C]110.66[/C][C]110.75[/C][C]110.75[/C][/ROW]
[ROW][C]0.82[/C][C]110.7994[/C][C]110.896[/C][C]110.88[/C][C]110.88[/C][C]110.8228[/C][C]110.75[/C][C]110.944[/C][C]110.88[/C][/ROW]
[ROW][C]0.84[/C][C]110.9248[/C][C]111.004[/C][C]110.96[/C][C]110.96[/C][C]110.9376[/C][C]110.96[/C][C]111.026[/C][C]110.96[/C][/ROW]
[ROW][C]0.86[/C][C]111.0414[/C][C]111.082[/C][C]111.07[/C][C]111.07[/C][C]111.0568[/C][C]111.07[/C][C]111.078[/C][C]111.09[/C][/ROW]
[ROW][C]0.88[/C][C]111.0884[/C][C]111.138[/C][C]111.09[/C][C]111.09[/C][C]111.0924[/C][C]111.09[/C][C]111.102[/C][C]111.15[/C][/ROW]
[ROW][C]0.9[/C][C]111.152[/C][C]111.17[/C][C]111.17[/C][C]111.17[/C][C]111.154[/C][C]111.15[/C][C]111.17[/C][C]111.17[/C][/ROW]
[ROW][C]0.92[/C][C]111.184[/C][C]111.224[/C][C]111.22[/C][C]111.22[/C][C]111.188[/C][C]111.17[/C][C]111.236[/C][C]111.22[/C][/ROW]
[ROW][C]0.94[/C][C]111.2292[/C][C]111.26[/C][C]111.24[/C][C]111.24[/C][C]111.2304[/C][C]111.22[/C][C]111.27[/C][C]111.24[/C][/ROW]
[ROW][C]0.96[/C][C]111.272[/C][C]111.386[/C][C]111.29[/C][C]111.29[/C][C]111.274[/C][C]111.29[/C][C]111.354[/C][C]111.45[/C][/ROW]
[ROW][C]0.98[/C][C]111.4212[/C][C]111.69[/C][C]111.45[/C][C]111.45[/C][C]111.4244[/C][C]111.45[/C][C]111.51[/C][C]111.75[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69359&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69359&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)
0.02	100.8954	100.906	101.33	101.33	101.4132	100.8	101.224	100.8
0.04	101.5172	101.538	101.85	101.85	101.8596	101.33	101.642	101.33
0.06	101.8662	101.868	101.88	101.88	101.9568	101.88	101.862	101.88
0.08	101.9952	102.008	102.04	102.04	102.1552	102.04	101.912	102.04
0.1	102.202	102.22	102.22	102.22	102.34	102.22	102.22	102.22
0.12	102.3836	102.404	102.54	102.54	102.5332	102.37	102.506	102.37
0.14	102.5634	102.576	102.63	102.63	102.6324	102.54	102.594	102.54
0.16	102.6388	102.642	102.65	102.65	102.6584	102.63	102.638	102.65
0.18	102.6686	102.674	102.68	102.68	102.7152	102.68	102.656	102.68
0.2	102.744	102.76	102.76	102.76	102.796	102.76	102.76	102.76
0.22	102.8188	102.902	102.82	102.82	103.1316	102.82	103.148	102.82
0.24	103.2428	103.262	103.31	103.31	103.3036	103.23	103.278	103.23
0.26	103.4086	103.484	103.6	103.6	103.6264	103.31	103.426	103.6
0.28	103.7716	103.864	103.93	103.93	103.9348	103.93	103.666	103.93
0.3	103.944	103.95	103.95	103.95	104.07	103.95	103.95	103.95
0.32	104.214	104.264	104.25	104.25	104.2892	104.25	104.306	104.25
0.34	104.3224	104.336	104.36	104.36	104.3488	104.32	104.344	104.32
0.36	104.3648	104.372	104.38	104.38	104.3776	104.36	104.368	104.38
0.38	104.464	104.54	104.58	104.58	104.584	104.38	104.42	104.58
0.4	104.64	104.68	104.68	104.68	104.728	104.68	104.68	104.68
0.42	104.8672	104.982	104.92	104.92	105.0316	104.92	105.168	104.92
0.44	105.2176	105.25	105.23	105.23	105.256	105.23	105.26	105.23
0.46	105.2884	105.316	105.34	105.34	105.3208	105.28	105.304	105.34
0.48	105.3784	105.436	105.46	105.46	105.4408	105.34	105.364	105.46
0.5	105.52	105.58	105.58	105.58	105.58	105.58	105.58	105.58
0.52	105.6412	105.676	105.67	105.67	105.6748	105.67	105.694	105.67
0.54	105.6958	105.704	105.7	105.7	105.7032	105.7	105.706	105.7
0.56	105.7292	105.998	106.19	106.19	105.9404	105.71	105.902	106.19
0.58	106.3528	106.782	106.93	106.93	106.6636	106.19	106.338	106.93
0.6	107.134	107.44	107.44	107.44	107.338	106.93	107.44	107.44
0.62	107.6778	108.022	107.85	107.85	107.8336	107.85	108.538	107.85
0.64	108.5036	108.954	108.71	108.71	108.7832	108.71	109.076	108.71
0.66	109.2834	109.422	109.32	109.32	109.3676	109.32	109.388	109.49
0.68	109.5752	110.058	110.2	110.2	109.8024	109.49	109.632	110.2
0.7	110.278	110.46	110.46	110.46	110.356	110.2	110.46	110.46
0.72	110.4696	110.484	110.48	110.48	110.4752	110.46	110.496	110.48
0.74	110.4932	110.548	110.5	110.5	110.4984	110.5	110.572	110.5
0.76	110.6008	110.632	110.62	110.62	110.6216	110.62	110.628	110.64
0.78	110.6404	110.656	110.66	110.66	110.6448	110.64	110.644	110.66
0.8	110.678	110.75	110.75	110.75	110.696	110.66	110.75	110.75
0.82	110.7994	110.896	110.88	110.88	110.8228	110.75	110.944	110.88
0.84	110.9248	111.004	110.96	110.96	110.9376	110.96	111.026	110.96
0.86	111.0414	111.082	111.07	111.07	111.0568	111.07	111.078	111.09
0.88	111.0884	111.138	111.09	111.09	111.0924	111.09	111.102	111.15
0.9	111.152	111.17	111.17	111.17	111.154	111.15	111.17	111.17
0.92	111.184	111.224	111.22	111.22	111.188	111.17	111.236	111.22
0.94	111.2292	111.26	111.24	111.24	111.2304	111.22	111.27	111.24
0.96	111.272	111.386	111.29	111.29	111.274	111.29	111.354	111.45
0.98	111.4212	111.69	111.45	111.45	111.4244	111.45	111.51	111.75

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