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rwasp_percentiles.wasp

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Percentiles

Date of computation

Tue, 20 Dec 2011 13:08:49 -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/20/t1324404541uvpxw7dypi6eyo3.htm/, Retrieved Thu, 02 May 2024 11:39:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=158111, Retrieved Thu, 02 May 2024 11:39:25 +0000

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Estimated Impact

151

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

-     [Univariate Data Series] [] [2009-11-05 08:15:26] [74be16979710d4c4e7c6647856088456]
-   PD  [Univariate Data Series] [] [2009-11-11 08:16:12] [74be16979710d4c4e7c6647856088456]
-   PD    [Univariate Data Series] [] [2009-12-19 10:32:23] [5d885a68c2332cc44f6191ec94766bfa]
- R PD      [Univariate Data Series] [paper20] [2011-12-20 16:22:23] [74be16979710d4c4e7c6647856088456]
- RMP           [Percentiles] [paper23] [2011-12-20 18:08:49] [47995d3a8fac585eeb070a274b466f8c] [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	1 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158111&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158111&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158111&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Percentiles - Ungrouped Data
p	Weighted Average at Xnp	Weighted Average at X(n+1)p	Empirical Distribution Function	Empirical Distribution Function - Averaging	Empirical Distribution Function - Interpolation	Closest Observation	True Basic - Statistics Graphics Toolkit	MS Excel (old versions)
0.02	1772.2	1772.42	1781	1781	1791.62	1770	1778.58	1770
0.04	1804.6	1806.96	1840	1840	1888.96	1781	1814.04	1781
0.06	1921.6	1929.76	1976	1976	2016.5	1976	1886.24	1976
0.08	2036	2042	2051	2051	2060.36	2051	1985	2051
0.1	2064	2067.7	2064	2082.5	2097.3	2064	2097.3	2064
0.12	2101.2	2101.32	2102	2102	2103.36	2101	2101.68	2101
0.14	2108.8	2111.18	2119	2119	2127.06	2102	2109.82	2119
0.16	2137.6	2142.56	2150	2150	2163.2	2150	2126.44	2150
0.18	2174	2179.4	2180	2180	2194.26	2180	2150.6	2180
0.2	2203	2204.4	2203	2206.5	2208.6	2203	2208.6	2203
0.22	2210.8	2211.68	2214	2214	2213.92	2210	2212.32	2210
0.24	2219.6	2222.96	2228	2228	2231.52	2214	2219.04	2228
0.26	2241.2	2246.92	2250	2250	2253.4	2250	2231.08	2250
0.28	2258	2262.96	2260	2260	2279.24	2260	2294.04	2260
0.3	2297	2304.2	2297	2309	2313.8	2297	2313.8	2297
0.32	2322.2	2324.12	2327	2327	2326.28	2321	2323.88	2327
0.34	2335.4	2342.54	2348	2348	2349.26	2327	2332.46	2348
0.36	2360.6	2368.16	2369	2369	2376.68	2369	2348.84	2369
0.38	2394.6	2402.08	2401	2401	2403.52	2401	2405.92	2401
0.4	2407	2410.6	2407	2411.5	2412.4	2407	2412.4	2407
0.42	2422.2	2435.22	2447	2447	2440.18	2416	2427.78	2447
0.44	2448.6	2450.36	2451	2451	2450.84	2447	2447.64	2451
0.46	2458.2	2463.24	2463	2463	2463.56	2463	2466.76	2463
0.48	2466.2	2472.04	2467	2467	2472.76	2467	2479.96	2467
0.5	2485	2496	2485	2496	2496	2485	2496	2496
0.52	2511.8	2524.28	2531	2531	2523.32	2507	2513.72	2531
0.54	2532.2	2533.82	2534	2534	2533.58	2531	2531.18	2534
0.56	2555.6	2571.92	2570	2570	2570.48	2570	2580.08	2570
0.58	2579.6	2587.32	2582	2582	2585.08	2582	2590.68	2582
0.6	2596	2608	2596	2606	2604	2596	2604	2616
0.62	2617.2	2620.92	2622	2622	2619.48	2616	2617.08	2622
0.64	2625.6	2631.44	2631	2631	2628.84	2622	2641.56	2631
0.66	2637.6	2643.3	2642	2642	2641.34	2642	2645.7	2642
0.68	2646	2655.16	2647	2647	2649.04	2647	2655.84	2647
0.7	2664	2666.8	2664	2666	2665.2	2664	2665.2	2668
0.72	2670.8	2680.88	2682	2682	2674.72	2668	2669.12	2682
0.74	2690	2702.98	2702	2702	2695.2	2682	2708.02	2702
0.76	2706.2	2712.24	2709	2709	2707.88	2709	2714.76	2709
0.78	2716.2	2727.28	2718	2718	2718.32	2718	2724.72	2734
0.8	2734	2793.2	2734	2771	2748.8	2734	2748.8	2808
0.82	2810	2818.36	2818	2818	2811.8	2808	2835.64	2818
0.84	2825.2	2836.24	2836	2836	2828.08	2818	2836.76	2836
0.86	2836.6	2852.64	2837	2837	2836.74	2837	2855.36	2837
0.88	2864.2	2913.84	2871	2871	2868.28	2871	2891.16	2934
0.9	2934	2946.6	2934	2941	2935.4	2934	2935.4	2948
0.92	2949.8	2964.44	2957	2957	2950.52	2948	3011.56	2957
0.94	2981.8	3050.62	3019	3019	2985.52	2957	3080.38	3019
0.96	3074.8	3164.64	3112	3112	3078.52	3112	3153.36	3206
0.98	3187.2	3283.22	3206	3206	3189.08	3206	3227.78	3305

\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 & 1772.2 & 1772.42 & 1781 & 1781 & 1791.62 & 1770 & 1778.58 & 1770 \tabularnewline
0.04 & 1804.6 & 1806.96 & 1840 & 1840 & 1888.96 & 1781 & 1814.04 & 1781 \tabularnewline
0.06 & 1921.6 & 1929.76 & 1976 & 1976 & 2016.5 & 1976 & 1886.24 & 1976 \tabularnewline
0.08 & 2036 & 2042 & 2051 & 2051 & 2060.36 & 2051 & 1985 & 2051 \tabularnewline
0.1 & 2064 & 2067.7 & 2064 & 2082.5 & 2097.3 & 2064 & 2097.3 & 2064 \tabularnewline
0.12 & 2101.2 & 2101.32 & 2102 & 2102 & 2103.36 & 2101 & 2101.68 & 2101 \tabularnewline
0.14 & 2108.8 & 2111.18 & 2119 & 2119 & 2127.06 & 2102 & 2109.82 & 2119 \tabularnewline
0.16 & 2137.6 & 2142.56 & 2150 & 2150 & 2163.2 & 2150 & 2126.44 & 2150 \tabularnewline
0.18 & 2174 & 2179.4 & 2180 & 2180 & 2194.26 & 2180 & 2150.6 & 2180 \tabularnewline
0.2 & 2203 & 2204.4 & 2203 & 2206.5 & 2208.6 & 2203 & 2208.6 & 2203 \tabularnewline
0.22 & 2210.8 & 2211.68 & 2214 & 2214 & 2213.92 & 2210 & 2212.32 & 2210 \tabularnewline
0.24 & 2219.6 & 2222.96 & 2228 & 2228 & 2231.52 & 2214 & 2219.04 & 2228 \tabularnewline
0.26 & 2241.2 & 2246.92 & 2250 & 2250 & 2253.4 & 2250 & 2231.08 & 2250 \tabularnewline
0.28 & 2258 & 2262.96 & 2260 & 2260 & 2279.24 & 2260 & 2294.04 & 2260 \tabularnewline
0.3 & 2297 & 2304.2 & 2297 & 2309 & 2313.8 & 2297 & 2313.8 & 2297 \tabularnewline
0.32 & 2322.2 & 2324.12 & 2327 & 2327 & 2326.28 & 2321 & 2323.88 & 2327 \tabularnewline
0.34 & 2335.4 & 2342.54 & 2348 & 2348 & 2349.26 & 2327 & 2332.46 & 2348 \tabularnewline
0.36 & 2360.6 & 2368.16 & 2369 & 2369 & 2376.68 & 2369 & 2348.84 & 2369 \tabularnewline
0.38 & 2394.6 & 2402.08 & 2401 & 2401 & 2403.52 & 2401 & 2405.92 & 2401 \tabularnewline
0.4 & 2407 & 2410.6 & 2407 & 2411.5 & 2412.4 & 2407 & 2412.4 & 2407 \tabularnewline
0.42 & 2422.2 & 2435.22 & 2447 & 2447 & 2440.18 & 2416 & 2427.78 & 2447 \tabularnewline
0.44 & 2448.6 & 2450.36 & 2451 & 2451 & 2450.84 & 2447 & 2447.64 & 2451 \tabularnewline
0.46 & 2458.2 & 2463.24 & 2463 & 2463 & 2463.56 & 2463 & 2466.76 & 2463 \tabularnewline
0.48 & 2466.2 & 2472.04 & 2467 & 2467 & 2472.76 & 2467 & 2479.96 & 2467 \tabularnewline
0.5 & 2485 & 2496 & 2485 & 2496 & 2496 & 2485 & 2496 & 2496 \tabularnewline
0.52 & 2511.8 & 2524.28 & 2531 & 2531 & 2523.32 & 2507 & 2513.72 & 2531 \tabularnewline
0.54 & 2532.2 & 2533.82 & 2534 & 2534 & 2533.58 & 2531 & 2531.18 & 2534 \tabularnewline
0.56 & 2555.6 & 2571.92 & 2570 & 2570 & 2570.48 & 2570 & 2580.08 & 2570 \tabularnewline
0.58 & 2579.6 & 2587.32 & 2582 & 2582 & 2585.08 & 2582 & 2590.68 & 2582 \tabularnewline
0.6 & 2596 & 2608 & 2596 & 2606 & 2604 & 2596 & 2604 & 2616 \tabularnewline
0.62 & 2617.2 & 2620.92 & 2622 & 2622 & 2619.48 & 2616 & 2617.08 & 2622 \tabularnewline
0.64 & 2625.6 & 2631.44 & 2631 & 2631 & 2628.84 & 2622 & 2641.56 & 2631 \tabularnewline
0.66 & 2637.6 & 2643.3 & 2642 & 2642 & 2641.34 & 2642 & 2645.7 & 2642 \tabularnewline
0.68 & 2646 & 2655.16 & 2647 & 2647 & 2649.04 & 2647 & 2655.84 & 2647 \tabularnewline
0.7 & 2664 & 2666.8 & 2664 & 2666 & 2665.2 & 2664 & 2665.2 & 2668 \tabularnewline
0.72 & 2670.8 & 2680.88 & 2682 & 2682 & 2674.72 & 2668 & 2669.12 & 2682 \tabularnewline
0.74 & 2690 & 2702.98 & 2702 & 2702 & 2695.2 & 2682 & 2708.02 & 2702 \tabularnewline
0.76 & 2706.2 & 2712.24 & 2709 & 2709 & 2707.88 & 2709 & 2714.76 & 2709 \tabularnewline
0.78 & 2716.2 & 2727.28 & 2718 & 2718 & 2718.32 & 2718 & 2724.72 & 2734 \tabularnewline
0.8 & 2734 & 2793.2 & 2734 & 2771 & 2748.8 & 2734 & 2748.8 & 2808 \tabularnewline
0.82 & 2810 & 2818.36 & 2818 & 2818 & 2811.8 & 2808 & 2835.64 & 2818 \tabularnewline
0.84 & 2825.2 & 2836.24 & 2836 & 2836 & 2828.08 & 2818 & 2836.76 & 2836 \tabularnewline
0.86 & 2836.6 & 2852.64 & 2837 & 2837 & 2836.74 & 2837 & 2855.36 & 2837 \tabularnewline
0.88 & 2864.2 & 2913.84 & 2871 & 2871 & 2868.28 & 2871 & 2891.16 & 2934 \tabularnewline
0.9 & 2934 & 2946.6 & 2934 & 2941 & 2935.4 & 2934 & 2935.4 & 2948 \tabularnewline
0.92 & 2949.8 & 2964.44 & 2957 & 2957 & 2950.52 & 2948 & 3011.56 & 2957 \tabularnewline
0.94 & 2981.8 & 3050.62 & 3019 & 3019 & 2985.52 & 2957 & 3080.38 & 3019 \tabularnewline
0.96 & 3074.8 & 3164.64 & 3112 & 3112 & 3078.52 & 3112 & 3153.36 & 3206 \tabularnewline
0.98 & 3187.2 & 3283.22 & 3206 & 3206 & 3189.08 & 3206 & 3227.78 & 3305 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158111&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]1772.2[/C][C]1772.42[/C][C]1781[/C][C]1781[/C][C]1791.62[/C][C]1770[/C][C]1778.58[/C][C]1770[/C][/ROW]
[ROW][C]0.04[/C][C]1804.6[/C][C]1806.96[/C][C]1840[/C][C]1840[/C][C]1888.96[/C][C]1781[/C][C]1814.04[/C][C]1781[/C][/ROW]
[ROW][C]0.06[/C][C]1921.6[/C][C]1929.76[/C][C]1976[/C][C]1976[/C][C]2016.5[/C][C]1976[/C][C]1886.24[/C][C]1976[/C][/ROW]
[ROW][C]0.08[/C][C]2036[/C][C]2042[/C][C]2051[/C][C]2051[/C][C]2060.36[/C][C]2051[/C][C]1985[/C][C]2051[/C][/ROW]
[ROW][C]0.1[/C][C]2064[/C][C]2067.7[/C][C]2064[/C][C]2082.5[/C][C]2097.3[/C][C]2064[/C][C]2097.3[/C][C]2064[/C][/ROW]
[ROW][C]0.12[/C][C]2101.2[/C][C]2101.32[/C][C]2102[/C][C]2102[/C][C]2103.36[/C][C]2101[/C][C]2101.68[/C][C]2101[/C][/ROW]
[ROW][C]0.14[/C][C]2108.8[/C][C]2111.18[/C][C]2119[/C][C]2119[/C][C]2127.06[/C][C]2102[/C][C]2109.82[/C][C]2119[/C][/ROW]
[ROW][C]0.16[/C][C]2137.6[/C][C]2142.56[/C][C]2150[/C][C]2150[/C][C]2163.2[/C][C]2150[/C][C]2126.44[/C][C]2150[/C][/ROW]
[ROW][C]0.18[/C][C]2174[/C][C]2179.4[/C][C]2180[/C][C]2180[/C][C]2194.26[/C][C]2180[/C][C]2150.6[/C][C]2180[/C][/ROW]
[ROW][C]0.2[/C][C]2203[/C][C]2204.4[/C][C]2203[/C][C]2206.5[/C][C]2208.6[/C][C]2203[/C][C]2208.6[/C][C]2203[/C][/ROW]
[ROW][C]0.22[/C][C]2210.8[/C][C]2211.68[/C][C]2214[/C][C]2214[/C][C]2213.92[/C][C]2210[/C][C]2212.32[/C][C]2210[/C][/ROW]
[ROW][C]0.24[/C][C]2219.6[/C][C]2222.96[/C][C]2228[/C][C]2228[/C][C]2231.52[/C][C]2214[/C][C]2219.04[/C][C]2228[/C][/ROW]
[ROW][C]0.26[/C][C]2241.2[/C][C]2246.92[/C][C]2250[/C][C]2250[/C][C]2253.4[/C][C]2250[/C][C]2231.08[/C][C]2250[/C][/ROW]
[ROW][C]0.28[/C][C]2258[/C][C]2262.96[/C][C]2260[/C][C]2260[/C][C]2279.24[/C][C]2260[/C][C]2294.04[/C][C]2260[/C][/ROW]
[ROW][C]0.3[/C][C]2297[/C][C]2304.2[/C][C]2297[/C][C]2309[/C][C]2313.8[/C][C]2297[/C][C]2313.8[/C][C]2297[/C][/ROW]
[ROW][C]0.32[/C][C]2322.2[/C][C]2324.12[/C][C]2327[/C][C]2327[/C][C]2326.28[/C][C]2321[/C][C]2323.88[/C][C]2327[/C][/ROW]
[ROW][C]0.34[/C][C]2335.4[/C][C]2342.54[/C][C]2348[/C][C]2348[/C][C]2349.26[/C][C]2327[/C][C]2332.46[/C][C]2348[/C][/ROW]
[ROW][C]0.36[/C][C]2360.6[/C][C]2368.16[/C][C]2369[/C][C]2369[/C][C]2376.68[/C][C]2369[/C][C]2348.84[/C][C]2369[/C][/ROW]
[ROW][C]0.38[/C][C]2394.6[/C][C]2402.08[/C][C]2401[/C][C]2401[/C][C]2403.52[/C][C]2401[/C][C]2405.92[/C][C]2401[/C][/ROW]
[ROW][C]0.4[/C][C]2407[/C][C]2410.6[/C][C]2407[/C][C]2411.5[/C][C]2412.4[/C][C]2407[/C][C]2412.4[/C][C]2407[/C][/ROW]
[ROW][C]0.42[/C][C]2422.2[/C][C]2435.22[/C][C]2447[/C][C]2447[/C][C]2440.18[/C][C]2416[/C][C]2427.78[/C][C]2447[/C][/ROW]
[ROW][C]0.44[/C][C]2448.6[/C][C]2450.36[/C][C]2451[/C][C]2451[/C][C]2450.84[/C][C]2447[/C][C]2447.64[/C][C]2451[/C][/ROW]
[ROW][C]0.46[/C][C]2458.2[/C][C]2463.24[/C][C]2463[/C][C]2463[/C][C]2463.56[/C][C]2463[/C][C]2466.76[/C][C]2463[/C][/ROW]
[ROW][C]0.48[/C][C]2466.2[/C][C]2472.04[/C][C]2467[/C][C]2467[/C][C]2472.76[/C][C]2467[/C][C]2479.96[/C][C]2467[/C][/ROW]
[ROW][C]0.5[/C][C]2485[/C][C]2496[/C][C]2485[/C][C]2496[/C][C]2496[/C][C]2485[/C][C]2496[/C][C]2496[/C][/ROW]
[ROW][C]0.52[/C][C]2511.8[/C][C]2524.28[/C][C]2531[/C][C]2531[/C][C]2523.32[/C][C]2507[/C][C]2513.72[/C][C]2531[/C][/ROW]
[ROW][C]0.54[/C][C]2532.2[/C][C]2533.82[/C][C]2534[/C][C]2534[/C][C]2533.58[/C][C]2531[/C][C]2531.18[/C][C]2534[/C][/ROW]
[ROW][C]0.56[/C][C]2555.6[/C][C]2571.92[/C][C]2570[/C][C]2570[/C][C]2570.48[/C][C]2570[/C][C]2580.08[/C][C]2570[/C][/ROW]
[ROW][C]0.58[/C][C]2579.6[/C][C]2587.32[/C][C]2582[/C][C]2582[/C][C]2585.08[/C][C]2582[/C][C]2590.68[/C][C]2582[/C][/ROW]
[ROW][C]0.6[/C][C]2596[/C][C]2608[/C][C]2596[/C][C]2606[/C][C]2604[/C][C]2596[/C][C]2604[/C][C]2616[/C][/ROW]
[ROW][C]0.62[/C][C]2617.2[/C][C]2620.92[/C][C]2622[/C][C]2622[/C][C]2619.48[/C][C]2616[/C][C]2617.08[/C][C]2622[/C][/ROW]
[ROW][C]0.64[/C][C]2625.6[/C][C]2631.44[/C][C]2631[/C][C]2631[/C][C]2628.84[/C][C]2622[/C][C]2641.56[/C][C]2631[/C][/ROW]
[ROW][C]0.66[/C][C]2637.6[/C][C]2643.3[/C][C]2642[/C][C]2642[/C][C]2641.34[/C][C]2642[/C][C]2645.7[/C][C]2642[/C][/ROW]
[ROW][C]0.68[/C][C]2646[/C][C]2655.16[/C][C]2647[/C][C]2647[/C][C]2649.04[/C][C]2647[/C][C]2655.84[/C][C]2647[/C][/ROW]
[ROW][C]0.7[/C][C]2664[/C][C]2666.8[/C][C]2664[/C][C]2666[/C][C]2665.2[/C][C]2664[/C][C]2665.2[/C][C]2668[/C][/ROW]
[ROW][C]0.72[/C][C]2670.8[/C][C]2680.88[/C][C]2682[/C][C]2682[/C][C]2674.72[/C][C]2668[/C][C]2669.12[/C][C]2682[/C][/ROW]
[ROW][C]0.74[/C][C]2690[/C][C]2702.98[/C][C]2702[/C][C]2702[/C][C]2695.2[/C][C]2682[/C][C]2708.02[/C][C]2702[/C][/ROW]
[ROW][C]0.76[/C][C]2706.2[/C][C]2712.24[/C][C]2709[/C][C]2709[/C][C]2707.88[/C][C]2709[/C][C]2714.76[/C][C]2709[/C][/ROW]
[ROW][C]0.78[/C][C]2716.2[/C][C]2727.28[/C][C]2718[/C][C]2718[/C][C]2718.32[/C][C]2718[/C][C]2724.72[/C][C]2734[/C][/ROW]
[ROW][C]0.8[/C][C]2734[/C][C]2793.2[/C][C]2734[/C][C]2771[/C][C]2748.8[/C][C]2734[/C][C]2748.8[/C][C]2808[/C][/ROW]
[ROW][C]0.82[/C][C]2810[/C][C]2818.36[/C][C]2818[/C][C]2818[/C][C]2811.8[/C][C]2808[/C][C]2835.64[/C][C]2818[/C][/ROW]
[ROW][C]0.84[/C][C]2825.2[/C][C]2836.24[/C][C]2836[/C][C]2836[/C][C]2828.08[/C][C]2818[/C][C]2836.76[/C][C]2836[/C][/ROW]
[ROW][C]0.86[/C][C]2836.6[/C][C]2852.64[/C][C]2837[/C][C]2837[/C][C]2836.74[/C][C]2837[/C][C]2855.36[/C][C]2837[/C][/ROW]
[ROW][C]0.88[/C][C]2864.2[/C][C]2913.84[/C][C]2871[/C][C]2871[/C][C]2868.28[/C][C]2871[/C][C]2891.16[/C][C]2934[/C][/ROW]
[ROW][C]0.9[/C][C]2934[/C][C]2946.6[/C][C]2934[/C][C]2941[/C][C]2935.4[/C][C]2934[/C][C]2935.4[/C][C]2948[/C][/ROW]
[ROW][C]0.92[/C][C]2949.8[/C][C]2964.44[/C][C]2957[/C][C]2957[/C][C]2950.52[/C][C]2948[/C][C]3011.56[/C][C]2957[/C][/ROW]
[ROW][C]0.94[/C][C]2981.8[/C][C]3050.62[/C][C]3019[/C][C]3019[/C][C]2985.52[/C][C]2957[/C][C]3080.38[/C][C]3019[/C][/ROW]
[ROW][C]0.96[/C][C]3074.8[/C][C]3164.64[/C][C]3112[/C][C]3112[/C][C]3078.52[/C][C]3112[/C][C]3153.36[/C][C]3206[/C][/ROW]
[ROW][C]0.98[/C][C]3187.2[/C][C]3283.22[/C][C]3206[/C][C]3206[/C][C]3189.08[/C][C]3206[/C][C]3227.78[/C][C]3305[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158111&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158111&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	1772.2	1772.42	1781	1781	1791.62	1770	1778.58	1770
0.04	1804.6	1806.96	1840	1840	1888.96	1781	1814.04	1781
0.06	1921.6	1929.76	1976	1976	2016.5	1976	1886.24	1976
0.08	2036	2042	2051	2051	2060.36	2051	1985	2051
0.1	2064	2067.7	2064	2082.5	2097.3	2064	2097.3	2064
0.12	2101.2	2101.32	2102	2102	2103.36	2101	2101.68	2101
0.14	2108.8	2111.18	2119	2119	2127.06	2102	2109.82	2119
0.16	2137.6	2142.56	2150	2150	2163.2	2150	2126.44	2150
0.18	2174	2179.4	2180	2180	2194.26	2180	2150.6	2180
0.2	2203	2204.4	2203	2206.5	2208.6	2203	2208.6	2203
0.22	2210.8	2211.68	2214	2214	2213.92	2210	2212.32	2210
0.24	2219.6	2222.96	2228	2228	2231.52	2214	2219.04	2228
0.26	2241.2	2246.92	2250	2250	2253.4	2250	2231.08	2250
0.28	2258	2262.96	2260	2260	2279.24	2260	2294.04	2260
0.3	2297	2304.2	2297	2309	2313.8	2297	2313.8	2297
0.32	2322.2	2324.12	2327	2327	2326.28	2321	2323.88	2327
0.34	2335.4	2342.54	2348	2348	2349.26	2327	2332.46	2348
0.36	2360.6	2368.16	2369	2369	2376.68	2369	2348.84	2369
0.38	2394.6	2402.08	2401	2401	2403.52	2401	2405.92	2401
0.4	2407	2410.6	2407	2411.5	2412.4	2407	2412.4	2407
0.42	2422.2	2435.22	2447	2447	2440.18	2416	2427.78	2447
0.44	2448.6	2450.36	2451	2451	2450.84	2447	2447.64	2451
0.46	2458.2	2463.24	2463	2463	2463.56	2463	2466.76	2463
0.48	2466.2	2472.04	2467	2467	2472.76	2467	2479.96	2467
0.5	2485	2496	2485	2496	2496	2485	2496	2496
0.52	2511.8	2524.28	2531	2531	2523.32	2507	2513.72	2531
0.54	2532.2	2533.82	2534	2534	2533.58	2531	2531.18	2534
0.56	2555.6	2571.92	2570	2570	2570.48	2570	2580.08	2570
0.58	2579.6	2587.32	2582	2582	2585.08	2582	2590.68	2582
0.6	2596	2608	2596	2606	2604	2596	2604	2616
0.62	2617.2	2620.92	2622	2622	2619.48	2616	2617.08	2622
0.64	2625.6	2631.44	2631	2631	2628.84	2622	2641.56	2631
0.66	2637.6	2643.3	2642	2642	2641.34	2642	2645.7	2642
0.68	2646	2655.16	2647	2647	2649.04	2647	2655.84	2647
0.7	2664	2666.8	2664	2666	2665.2	2664	2665.2	2668
0.72	2670.8	2680.88	2682	2682	2674.72	2668	2669.12	2682
0.74	2690	2702.98	2702	2702	2695.2	2682	2708.02	2702
0.76	2706.2	2712.24	2709	2709	2707.88	2709	2714.76	2709
0.78	2716.2	2727.28	2718	2718	2718.32	2718	2724.72	2734
0.8	2734	2793.2	2734	2771	2748.8	2734	2748.8	2808
0.82	2810	2818.36	2818	2818	2811.8	2808	2835.64	2818
0.84	2825.2	2836.24	2836	2836	2828.08	2818	2836.76	2836
0.86	2836.6	2852.64	2837	2837	2836.74	2837	2855.36	2837
0.88	2864.2	2913.84	2871	2871	2868.28	2871	2891.16	2934
0.9	2934	2946.6	2934	2941	2935.4	2934	2935.4	2948
0.92	2949.8	2964.44	2957	2957	2950.52	2948	3011.56	2957
0.94	2981.8	3050.62	3019	3019	2985.52	2957	3080.38	3019
0.96	3074.8	3164.64	3112	3112	3078.52	3112	3153.36	3206
0.98	3187.2	3283.22	3206	3206	3189.08	3206	3227.78	3305

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