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rwasp_percentiles.wasp

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Percentiles

Date of computation

Sun, 18 Oct 2009 07:47:08 -0600

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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/Oct/18/t1255873672nqkp5rbk5diinj1.htm/, Retrieved Mon, 29 Apr 2024 10:45:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=47299, Retrieved Mon, 29 Apr 2024 10:45:33 +0000

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User-defined keywords

Workshop 3 deel 2

Estimated Impact

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] [Percentielen] [2009-10-18 13:47:08] [e7a989b306049c061a54f626f1127c12] [Current]
- RM D          [Central Tendency] [Central tendency] [2009-10-18 13:59:56] [03557919bc1ce1475f4920f6a43c36b0] 
- RM D          [Central Tendency] [central tendency] [2009-10-18 14:13:25] [03557919bc1ce1475f4920f6a43c36b0] 
- RM D          [Variability] [variability] [2009-10-18 14:20:15] [03557919bc1ce1475f4920f6a43c36b0] 
- RM D          [Harrell-Davis Quantiles] [Kwantielen] [2009-10-18 14:27:09] [03557919bc1ce1475f4920f6a43c36b0] 
- RM D          [Central Tendency] [central tendency] [2009-10-18 14:35:02] [03557919bc1ce1475f4920f6a43c36b0] 
- RM D          [Variability] [variability] [2009-10-18 14:42:10] [03557919bc1ce1475f4920f6a43c36b0] 
- RM D          [Harrell-Davis Quantiles] [Kwantielen] [2009-10-18 14:45:37] [03557919bc1ce1475f4920f6a43c36b0] 

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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	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=47299&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=47299&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=47299&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	'George Udny Yule' @ 72.249.76.132

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	108.32	108.332	108.8	108.8	108.926	108.2	108.668	108.2
0.04	109.08	109.108	109.5	109.5	109.5	108.8	109.192	108.8
0.06	109.5	109.5	109.5	109.5	109.878	109.5	109.5	109.5
0.08	110.06	110.116	110.2	110.2	110.632	110.2	109.584	110.2
0.1	110.8	110.8	110.8	110.8	110.8	110.8	110.8	110.8
0.12	110.88	110.928	111.2	111.2	111.216	110.8	111.072	110.8
0.14	111.28	111.308	111.4	111.4	111.582	111.2	111.292	111.4
0.16	111.82	111.932	112.1	112.1	112.936	112.1	111.568	112.1
0.18	113.62	113.962	114	114	114.062	114	112.138	114
0.2	114.1	114.3	114.1	114.6	114.9	114.1	114.9	114.1
0.22	115.16	115.226	115.4	115.4	115.394	115.1	115.274	115.1
0.24	115.64	115.784	116	116	116	115.4	115.616	116
0.26	116	116	116	116	116.408	116	116	116
0.28	116.96	117.352	117.2	117.2	118.188	117.2	118.948	117.2
0.3	119.1	119.13	119.1	119.15	119.17	119.1	119.17	119.1
0.32	120.66	122.996	126.5	126.5	125.624	119.2	122.704	126.5
0.34	127.02	127.462	127.8	127.8	127.974	126.5	126.838	127.8
0.36	129.54	130.584	130.7	130.7	130.844	130.7	127.916	130.7
0.38	131.18	131.876	131.3	131.3	132.644	131.3	133.924	131.3
0.4	134.5	135.62	134.5	135.9	136.18	134.5	136.18	134.5
0.42	137.82	138.912	139.9	139.9	139.328	137.3	138.288	139.9
0.44	140.06	140.236	140.3	140.3	140.284	139.9	139.964	140.3
0.46	141.92	143.978	143	143	145.282	143	158.322	143
0.48	156.04	162.184	159.3	159.3	162.596	159.3	166.716	159.3
0.5	169.6	170	169.6	170	170	169.6	170	170
0.52	170.78	171.768	172.3	172.3	171.692	170.4	170.932	172.3
0.54	173.38	174.838	175	175	174.622	172.3	172.462	175
0.56	175.48	176.104	175.8	175.8	175.876	175.8	177.396	175.8
0.58	177.32	178.688	177.7	177.7	178.272	177.7	179.312	177.7
0.6	180.3	180.66	180.3	180.6	180.54	180.3	180.54	180.9
0.62	181.64	183.934	184.6	184.6	183.046	180.9	181.566	184.6
0.64	184.68	185.044	184.8	184.8	184.752	184.6	190.656	184.8
0.66	188.46	192.304	190.9	190.9	190.534	190.9	194.896	190.9
0.68	195.22	196.348	196.3	196.3	196.312	196.3	196.352	196.3
0.7	196.4	198.15	196.4	197.65	197.15	196.4	197.15	198.9
0.72	199.02	199.452	199.5	199.5	199.188	198.9	198.948	199.5
0.74	202.26	207.1	206.4	206.4	204.054	199.5	210.7	206.4
0.76	209.4	212.48	211.4	211.4	210.6	211.4	213.32	211.4
0.78	213.8	214.922	214.4	214.4	214.418	214.4	214.778	215.3
0.8	215.3	215.78	215.3	215.6	215.42	215.3	215.42	215.9
0.82	215.92	216.574	216	216	215.938	215.9	244.126	216
0.84	227.48	248.204	244.7	244.7	232.072	216	255.796	244.7
0.86	253.46	266.016	259.3	259.3	255.504	259.3	267.184	259.3
0.88	270.98	281.244	273.9	273.9	272.732	273.9	277.356	284.7
0.9	284.7	288.57	284.7	286.85	285.13	284.7	285.13	289
0.92	293.38	311.284	310.9	310.9	295.132	289	313.716	310.9
0.94	312.18	314.44	314.1	314.1	312.372	310.9	314.76	314.1
0.96	314.7	318.404	315.1	315.1	314.74	315.1	317.696	321
0.98	319.82	330.516	321	321	319.938	321	323.684	333.2

\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 & 108.32 & 108.332 & 108.8 & 108.8 & 108.926 & 108.2 & 108.668 & 108.2 \tabularnewline
0.04 & 109.08 & 109.108 & 109.5 & 109.5 & 109.5 & 108.8 & 109.192 & 108.8 \tabularnewline
0.06 & 109.5 & 109.5 & 109.5 & 109.5 & 109.878 & 109.5 & 109.5 & 109.5 \tabularnewline
0.08 & 110.06 & 110.116 & 110.2 & 110.2 & 110.632 & 110.2 & 109.584 & 110.2 \tabularnewline
0.1 & 110.8 & 110.8 & 110.8 & 110.8 & 110.8 & 110.8 & 110.8 & 110.8 \tabularnewline
0.12 & 110.88 & 110.928 & 111.2 & 111.2 & 111.216 & 110.8 & 111.072 & 110.8 \tabularnewline
0.14 & 111.28 & 111.308 & 111.4 & 111.4 & 111.582 & 111.2 & 111.292 & 111.4 \tabularnewline
0.16 & 111.82 & 111.932 & 112.1 & 112.1 & 112.936 & 112.1 & 111.568 & 112.1 \tabularnewline
0.18 & 113.62 & 113.962 & 114 & 114 & 114.062 & 114 & 112.138 & 114 \tabularnewline
0.2 & 114.1 & 114.3 & 114.1 & 114.6 & 114.9 & 114.1 & 114.9 & 114.1 \tabularnewline
0.22 & 115.16 & 115.226 & 115.4 & 115.4 & 115.394 & 115.1 & 115.274 & 115.1 \tabularnewline
0.24 & 115.64 & 115.784 & 116 & 116 & 116 & 115.4 & 115.616 & 116 \tabularnewline
0.26 & 116 & 116 & 116 & 116 & 116.408 & 116 & 116 & 116 \tabularnewline
0.28 & 116.96 & 117.352 & 117.2 & 117.2 & 118.188 & 117.2 & 118.948 & 117.2 \tabularnewline
0.3 & 119.1 & 119.13 & 119.1 & 119.15 & 119.17 & 119.1 & 119.17 & 119.1 \tabularnewline
0.32 & 120.66 & 122.996 & 126.5 & 126.5 & 125.624 & 119.2 & 122.704 & 126.5 \tabularnewline
0.34 & 127.02 & 127.462 & 127.8 & 127.8 & 127.974 & 126.5 & 126.838 & 127.8 \tabularnewline
0.36 & 129.54 & 130.584 & 130.7 & 130.7 & 130.844 & 130.7 & 127.916 & 130.7 \tabularnewline
0.38 & 131.18 & 131.876 & 131.3 & 131.3 & 132.644 & 131.3 & 133.924 & 131.3 \tabularnewline
0.4 & 134.5 & 135.62 & 134.5 & 135.9 & 136.18 & 134.5 & 136.18 & 134.5 \tabularnewline
0.42 & 137.82 & 138.912 & 139.9 & 139.9 & 139.328 & 137.3 & 138.288 & 139.9 \tabularnewline
0.44 & 140.06 & 140.236 & 140.3 & 140.3 & 140.284 & 139.9 & 139.964 & 140.3 \tabularnewline
0.46 & 141.92 & 143.978 & 143 & 143 & 145.282 & 143 & 158.322 & 143 \tabularnewline
0.48 & 156.04 & 162.184 & 159.3 & 159.3 & 162.596 & 159.3 & 166.716 & 159.3 \tabularnewline
0.5 & 169.6 & 170 & 169.6 & 170 & 170 & 169.6 & 170 & 170 \tabularnewline
0.52 & 170.78 & 171.768 & 172.3 & 172.3 & 171.692 & 170.4 & 170.932 & 172.3 \tabularnewline
0.54 & 173.38 & 174.838 & 175 & 175 & 174.622 & 172.3 & 172.462 & 175 \tabularnewline
0.56 & 175.48 & 176.104 & 175.8 & 175.8 & 175.876 & 175.8 & 177.396 & 175.8 \tabularnewline
0.58 & 177.32 & 178.688 & 177.7 & 177.7 & 178.272 & 177.7 & 179.312 & 177.7 \tabularnewline
0.6 & 180.3 & 180.66 & 180.3 & 180.6 & 180.54 & 180.3 & 180.54 & 180.9 \tabularnewline
0.62 & 181.64 & 183.934 & 184.6 & 184.6 & 183.046 & 180.9 & 181.566 & 184.6 \tabularnewline
0.64 & 184.68 & 185.044 & 184.8 & 184.8 & 184.752 & 184.6 & 190.656 & 184.8 \tabularnewline
0.66 & 188.46 & 192.304 & 190.9 & 190.9 & 190.534 & 190.9 & 194.896 & 190.9 \tabularnewline
0.68 & 195.22 & 196.348 & 196.3 & 196.3 & 196.312 & 196.3 & 196.352 & 196.3 \tabularnewline
0.7 & 196.4 & 198.15 & 196.4 & 197.65 & 197.15 & 196.4 & 197.15 & 198.9 \tabularnewline
0.72 & 199.02 & 199.452 & 199.5 & 199.5 & 199.188 & 198.9 & 198.948 & 199.5 \tabularnewline
0.74 & 202.26 & 207.1 & 206.4 & 206.4 & 204.054 & 199.5 & 210.7 & 206.4 \tabularnewline
0.76 & 209.4 & 212.48 & 211.4 & 211.4 & 210.6 & 211.4 & 213.32 & 211.4 \tabularnewline
0.78 & 213.8 & 214.922 & 214.4 & 214.4 & 214.418 & 214.4 & 214.778 & 215.3 \tabularnewline
0.8 & 215.3 & 215.78 & 215.3 & 215.6 & 215.42 & 215.3 & 215.42 & 215.9 \tabularnewline
0.82 & 215.92 & 216.574 & 216 & 216 & 215.938 & 215.9 & 244.126 & 216 \tabularnewline
0.84 & 227.48 & 248.204 & 244.7 & 244.7 & 232.072 & 216 & 255.796 & 244.7 \tabularnewline
0.86 & 253.46 & 266.016 & 259.3 & 259.3 & 255.504 & 259.3 & 267.184 & 259.3 \tabularnewline
0.88 & 270.98 & 281.244 & 273.9 & 273.9 & 272.732 & 273.9 & 277.356 & 284.7 \tabularnewline
0.9 & 284.7 & 288.57 & 284.7 & 286.85 & 285.13 & 284.7 & 285.13 & 289 \tabularnewline
0.92 & 293.38 & 311.284 & 310.9 & 310.9 & 295.132 & 289 & 313.716 & 310.9 \tabularnewline
0.94 & 312.18 & 314.44 & 314.1 & 314.1 & 312.372 & 310.9 & 314.76 & 314.1 \tabularnewline
0.96 & 314.7 & 318.404 & 315.1 & 315.1 & 314.74 & 315.1 & 317.696 & 321 \tabularnewline
0.98 & 319.82 & 330.516 & 321 & 321 & 319.938 & 321 & 323.684 & 333.2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=47299&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]108.32[/C][C]108.332[/C][C]108.8[/C][C]108.8[/C][C]108.926[/C][C]108.2[/C][C]108.668[/C][C]108.2[/C][/ROW]
[ROW][C]0.04[/C][C]109.08[/C][C]109.108[/C][C]109.5[/C][C]109.5[/C][C]109.5[/C][C]108.8[/C][C]109.192[/C][C]108.8[/C][/ROW]
[ROW][C]0.06[/C][C]109.5[/C][C]109.5[/C][C]109.5[/C][C]109.5[/C][C]109.878[/C][C]109.5[/C][C]109.5[/C][C]109.5[/C][/ROW]
[ROW][C]0.08[/C][C]110.06[/C][C]110.116[/C][C]110.2[/C][C]110.2[/C][C]110.632[/C][C]110.2[/C][C]109.584[/C][C]110.2[/C][/ROW]
[ROW][C]0.1[/C][C]110.8[/C][C]110.8[/C][C]110.8[/C][C]110.8[/C][C]110.8[/C][C]110.8[/C][C]110.8[/C][C]110.8[/C][/ROW]
[ROW][C]0.12[/C][C]110.88[/C][C]110.928[/C][C]111.2[/C][C]111.2[/C][C]111.216[/C][C]110.8[/C][C]111.072[/C][C]110.8[/C][/ROW]
[ROW][C]0.14[/C][C]111.28[/C][C]111.308[/C][C]111.4[/C][C]111.4[/C][C]111.582[/C][C]111.2[/C][C]111.292[/C][C]111.4[/C][/ROW]
[ROW][C]0.16[/C][C]111.82[/C][C]111.932[/C][C]112.1[/C][C]112.1[/C][C]112.936[/C][C]112.1[/C][C]111.568[/C][C]112.1[/C][/ROW]
[ROW][C]0.18[/C][C]113.62[/C][C]113.962[/C][C]114[/C][C]114[/C][C]114.062[/C][C]114[/C][C]112.138[/C][C]114[/C][/ROW]
[ROW][C]0.2[/C][C]114.1[/C][C]114.3[/C][C]114.1[/C][C]114.6[/C][C]114.9[/C][C]114.1[/C][C]114.9[/C][C]114.1[/C][/ROW]
[ROW][C]0.22[/C][C]115.16[/C][C]115.226[/C][C]115.4[/C][C]115.4[/C][C]115.394[/C][C]115.1[/C][C]115.274[/C][C]115.1[/C][/ROW]
[ROW][C]0.24[/C][C]115.64[/C][C]115.784[/C][C]116[/C][C]116[/C][C]116[/C][C]115.4[/C][C]115.616[/C][C]116[/C][/ROW]
[ROW][C]0.26[/C][C]116[/C][C]116[/C][C]116[/C][C]116[/C][C]116.408[/C][C]116[/C][C]116[/C][C]116[/C][/ROW]
[ROW][C]0.28[/C][C]116.96[/C][C]117.352[/C][C]117.2[/C][C]117.2[/C][C]118.188[/C][C]117.2[/C][C]118.948[/C][C]117.2[/C][/ROW]
[ROW][C]0.3[/C][C]119.1[/C][C]119.13[/C][C]119.1[/C][C]119.15[/C][C]119.17[/C][C]119.1[/C][C]119.17[/C][C]119.1[/C][/ROW]
[ROW][C]0.32[/C][C]120.66[/C][C]122.996[/C][C]126.5[/C][C]126.5[/C][C]125.624[/C][C]119.2[/C][C]122.704[/C][C]126.5[/C][/ROW]
[ROW][C]0.34[/C][C]127.02[/C][C]127.462[/C][C]127.8[/C][C]127.8[/C][C]127.974[/C][C]126.5[/C][C]126.838[/C][C]127.8[/C][/ROW]
[ROW][C]0.36[/C][C]129.54[/C][C]130.584[/C][C]130.7[/C][C]130.7[/C][C]130.844[/C][C]130.7[/C][C]127.916[/C][C]130.7[/C][/ROW]
[ROW][C]0.38[/C][C]131.18[/C][C]131.876[/C][C]131.3[/C][C]131.3[/C][C]132.644[/C][C]131.3[/C][C]133.924[/C][C]131.3[/C][/ROW]
[ROW][C]0.4[/C][C]134.5[/C][C]135.62[/C][C]134.5[/C][C]135.9[/C][C]136.18[/C][C]134.5[/C][C]136.18[/C][C]134.5[/C][/ROW]
[ROW][C]0.42[/C][C]137.82[/C][C]138.912[/C][C]139.9[/C][C]139.9[/C][C]139.328[/C][C]137.3[/C][C]138.288[/C][C]139.9[/C][/ROW]
[ROW][C]0.44[/C][C]140.06[/C][C]140.236[/C][C]140.3[/C][C]140.3[/C][C]140.284[/C][C]139.9[/C][C]139.964[/C][C]140.3[/C][/ROW]
[ROW][C]0.46[/C][C]141.92[/C][C]143.978[/C][C]143[/C][C]143[/C][C]145.282[/C][C]143[/C][C]158.322[/C][C]143[/C][/ROW]
[ROW][C]0.48[/C][C]156.04[/C][C]162.184[/C][C]159.3[/C][C]159.3[/C][C]162.596[/C][C]159.3[/C][C]166.716[/C][C]159.3[/C][/ROW]
[ROW][C]0.5[/C][C]169.6[/C][C]170[/C][C]169.6[/C][C]170[/C][C]170[/C][C]169.6[/C][C]170[/C][C]170[/C][/ROW]
[ROW][C]0.52[/C][C]170.78[/C][C]171.768[/C][C]172.3[/C][C]172.3[/C][C]171.692[/C][C]170.4[/C][C]170.932[/C][C]172.3[/C][/ROW]
[ROW][C]0.54[/C][C]173.38[/C][C]174.838[/C][C]175[/C][C]175[/C][C]174.622[/C][C]172.3[/C][C]172.462[/C][C]175[/C][/ROW]
[ROW][C]0.56[/C][C]175.48[/C][C]176.104[/C][C]175.8[/C][C]175.8[/C][C]175.876[/C][C]175.8[/C][C]177.396[/C][C]175.8[/C][/ROW]
[ROW][C]0.58[/C][C]177.32[/C][C]178.688[/C][C]177.7[/C][C]177.7[/C][C]178.272[/C][C]177.7[/C][C]179.312[/C][C]177.7[/C][/ROW]
[ROW][C]0.6[/C][C]180.3[/C][C]180.66[/C][C]180.3[/C][C]180.6[/C][C]180.54[/C][C]180.3[/C][C]180.54[/C][C]180.9[/C][/ROW]
[ROW][C]0.62[/C][C]181.64[/C][C]183.934[/C][C]184.6[/C][C]184.6[/C][C]183.046[/C][C]180.9[/C][C]181.566[/C][C]184.6[/C][/ROW]
[ROW][C]0.64[/C][C]184.68[/C][C]185.044[/C][C]184.8[/C][C]184.8[/C][C]184.752[/C][C]184.6[/C][C]190.656[/C][C]184.8[/C][/ROW]
[ROW][C]0.66[/C][C]188.46[/C][C]192.304[/C][C]190.9[/C][C]190.9[/C][C]190.534[/C][C]190.9[/C][C]194.896[/C][C]190.9[/C][/ROW]
[ROW][C]0.68[/C][C]195.22[/C][C]196.348[/C][C]196.3[/C][C]196.3[/C][C]196.312[/C][C]196.3[/C][C]196.352[/C][C]196.3[/C][/ROW]
[ROW][C]0.7[/C][C]196.4[/C][C]198.15[/C][C]196.4[/C][C]197.65[/C][C]197.15[/C][C]196.4[/C][C]197.15[/C][C]198.9[/C][/ROW]
[ROW][C]0.72[/C][C]199.02[/C][C]199.452[/C][C]199.5[/C][C]199.5[/C][C]199.188[/C][C]198.9[/C][C]198.948[/C][C]199.5[/C][/ROW]
[ROW][C]0.74[/C][C]202.26[/C][C]207.1[/C][C]206.4[/C][C]206.4[/C][C]204.054[/C][C]199.5[/C][C]210.7[/C][C]206.4[/C][/ROW]
[ROW][C]0.76[/C][C]209.4[/C][C]212.48[/C][C]211.4[/C][C]211.4[/C][C]210.6[/C][C]211.4[/C][C]213.32[/C][C]211.4[/C][/ROW]
[ROW][C]0.78[/C][C]213.8[/C][C]214.922[/C][C]214.4[/C][C]214.4[/C][C]214.418[/C][C]214.4[/C][C]214.778[/C][C]215.3[/C][/ROW]
[ROW][C]0.8[/C][C]215.3[/C][C]215.78[/C][C]215.3[/C][C]215.6[/C][C]215.42[/C][C]215.3[/C][C]215.42[/C][C]215.9[/C][/ROW]
[ROW][C]0.82[/C][C]215.92[/C][C]216.574[/C][C]216[/C][C]216[/C][C]215.938[/C][C]215.9[/C][C]244.126[/C][C]216[/C][/ROW]
[ROW][C]0.84[/C][C]227.48[/C][C]248.204[/C][C]244.7[/C][C]244.7[/C][C]232.072[/C][C]216[/C][C]255.796[/C][C]244.7[/C][/ROW]
[ROW][C]0.86[/C][C]253.46[/C][C]266.016[/C][C]259.3[/C][C]259.3[/C][C]255.504[/C][C]259.3[/C][C]267.184[/C][C]259.3[/C][/ROW]
[ROW][C]0.88[/C][C]270.98[/C][C]281.244[/C][C]273.9[/C][C]273.9[/C][C]272.732[/C][C]273.9[/C][C]277.356[/C][C]284.7[/C][/ROW]
[ROW][C]0.9[/C][C]284.7[/C][C]288.57[/C][C]284.7[/C][C]286.85[/C][C]285.13[/C][C]284.7[/C][C]285.13[/C][C]289[/C][/ROW]
[ROW][C]0.92[/C][C]293.38[/C][C]311.284[/C][C]310.9[/C][C]310.9[/C][C]295.132[/C][C]289[/C][C]313.716[/C][C]310.9[/C][/ROW]
[ROW][C]0.94[/C][C]312.18[/C][C]314.44[/C][C]314.1[/C][C]314.1[/C][C]312.372[/C][C]310.9[/C][C]314.76[/C][C]314.1[/C][/ROW]
[ROW][C]0.96[/C][C]314.7[/C][C]318.404[/C][C]315.1[/C][C]315.1[/C][C]314.74[/C][C]315.1[/C][C]317.696[/C][C]321[/C][/ROW]
[ROW][C]0.98[/C][C]319.82[/C][C]330.516[/C][C]321[/C][C]321[/C][C]319.938[/C][C]321[/C][C]323.684[/C][C]333.2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=47299&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=47299&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	108.32	108.332	108.8	108.8	108.926	108.2	108.668	108.2
0.04	109.08	109.108	109.5	109.5	109.5	108.8	109.192	108.8
0.06	109.5	109.5	109.5	109.5	109.878	109.5	109.5	109.5
0.08	110.06	110.116	110.2	110.2	110.632	110.2	109.584	110.2
0.1	110.8	110.8	110.8	110.8	110.8	110.8	110.8	110.8
0.12	110.88	110.928	111.2	111.2	111.216	110.8	111.072	110.8
0.14	111.28	111.308	111.4	111.4	111.582	111.2	111.292	111.4
0.16	111.82	111.932	112.1	112.1	112.936	112.1	111.568	112.1
0.18	113.62	113.962	114	114	114.062	114	112.138	114
0.2	114.1	114.3	114.1	114.6	114.9	114.1	114.9	114.1
0.22	115.16	115.226	115.4	115.4	115.394	115.1	115.274	115.1
0.24	115.64	115.784	116	116	116	115.4	115.616	116
0.26	116	116	116	116	116.408	116	116	116
0.28	116.96	117.352	117.2	117.2	118.188	117.2	118.948	117.2
0.3	119.1	119.13	119.1	119.15	119.17	119.1	119.17	119.1
0.32	120.66	122.996	126.5	126.5	125.624	119.2	122.704	126.5
0.34	127.02	127.462	127.8	127.8	127.974	126.5	126.838	127.8
0.36	129.54	130.584	130.7	130.7	130.844	130.7	127.916	130.7
0.38	131.18	131.876	131.3	131.3	132.644	131.3	133.924	131.3
0.4	134.5	135.62	134.5	135.9	136.18	134.5	136.18	134.5
0.42	137.82	138.912	139.9	139.9	139.328	137.3	138.288	139.9
0.44	140.06	140.236	140.3	140.3	140.284	139.9	139.964	140.3
0.46	141.92	143.978	143	143	145.282	143	158.322	143
0.48	156.04	162.184	159.3	159.3	162.596	159.3	166.716	159.3
0.5	169.6	170	169.6	170	170	169.6	170	170
0.52	170.78	171.768	172.3	172.3	171.692	170.4	170.932	172.3
0.54	173.38	174.838	175	175	174.622	172.3	172.462	175
0.56	175.48	176.104	175.8	175.8	175.876	175.8	177.396	175.8
0.58	177.32	178.688	177.7	177.7	178.272	177.7	179.312	177.7
0.6	180.3	180.66	180.3	180.6	180.54	180.3	180.54	180.9
0.62	181.64	183.934	184.6	184.6	183.046	180.9	181.566	184.6
0.64	184.68	185.044	184.8	184.8	184.752	184.6	190.656	184.8
0.66	188.46	192.304	190.9	190.9	190.534	190.9	194.896	190.9
0.68	195.22	196.348	196.3	196.3	196.312	196.3	196.352	196.3
0.7	196.4	198.15	196.4	197.65	197.15	196.4	197.15	198.9
0.72	199.02	199.452	199.5	199.5	199.188	198.9	198.948	199.5
0.74	202.26	207.1	206.4	206.4	204.054	199.5	210.7	206.4
0.76	209.4	212.48	211.4	211.4	210.6	211.4	213.32	211.4
0.78	213.8	214.922	214.4	214.4	214.418	214.4	214.778	215.3
0.8	215.3	215.78	215.3	215.6	215.42	215.3	215.42	215.9
0.82	215.92	216.574	216	216	215.938	215.9	244.126	216
0.84	227.48	248.204	244.7	244.7	232.072	216	255.796	244.7
0.86	253.46	266.016	259.3	259.3	255.504	259.3	267.184	259.3
0.88	270.98	281.244	273.9	273.9	272.732	273.9	277.356	284.7
0.9	284.7	288.57	284.7	286.85	285.13	284.7	285.13	289
0.92	293.38	311.284	310.9	310.9	295.132	289	313.716	310.9
0.94	312.18	314.44	314.1	314.1	312.372	310.9	314.76	314.1
0.96	314.7	318.404	315.1	315.1	314.74	315.1	317.696	321
0.98	319.82	330.516	321	321	319.938	321	323.684	333.2

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