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rwasp_percentiles.wasp

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Percentiles

Date of computation

Tue, 30 Nov 2010 17:04:15 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/30/t1291136529behg4npnckbtl62.htm/, Retrieved Mon, 29 Apr 2024 16:04:11 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103685, Retrieved Mon, 29 Apr 2024 16:04:11 +0000

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Estimated Impact

123

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

-     [Percentiles] [Intrinsic Motivat...] [2010-10-12 12:10:58] [b98453cac15ba1066b407e146608df68]
-    D  [Percentiles] [Intrinsic 2 QQ] [2010-10-19 15:27:08] [247f085ab5b7724f755ad01dc754a3e8]
-    D    [Percentiles] [QQ plot paper] [2010-11-30 16:42:58] [247f085ab5b7724f755ad01dc754a3e8]
-    D        [Percentiles] [QQ plot paper] [2010-11-30 17:04:15] [9d72585f2b7b60ae977d4816136e1c95] [Current]

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14731798,37
16471559,62
15213975,95
17637387,4
17972385,83
16896235,55
16697955,94
19691579,52
15930700,75
17444615,98
17699369,88
15189796,81
15672722,75
17180794,3
17664893,45
17862884,98
16162288,88
17463628,82
16772112,17
19106861,48
16721314,25
18161267,85
18509941,2
17802737,97
16409869,75
17967742,04
20286602,27
19537280,81
18021889,62
20194317,23
19049596,62
20244720,94
21473302,24
19673603,19
21053177,29
20159479,84
18203628,31
21289464,94
20432335,71
17180395,07
15816786,32
15071819,75
14521120,61
15668789,39
14346884,11
13881008,13
15465943,69
14238232,92
13557713,21
16127590,29
16793894,2
16014007,43
16867867,15
16014583,21
15878594,85
18664899,14
17962530,06
17332692,2
19542066,35
17203555,19

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=103685&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=103685&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103685&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	13622372.194	13628838.0924	13881008.13	13881008.13	13945308.5922	13557713.21	13809883.2476	13557713.21
0.04	14023898.046	14038187.0376	14238232.92	14238232.92	14277347.3484	13881008.13	14081054.0124	13881008.13
0.06	14303423.634	14309942.7054	14346884.11	14346884.11	14440971.82	14346884.11	14275174.3246	14346884.11
0.08	14486273.31	14500212.23	14521120.61	14521120.61	14672808.5972	14521120.61	14367792.49	14521120.61
0.1	14731798.37	14765800.508	14731798.37	14901809.06	15037817.612	14731798.37	15037817.612	14731798.37
0.12	15095415.162	15109572.4092	15189796.81	15189796.81	15191731.1412	15071819.75	15152044.1508	15071819.75
0.14	15199468.466	15202853.5456	15213975.95	15213975.95	15279487.5624	15189796.81	15200919.2144	15213975.95
0.16	15365156.594	15405471.4324	15465943.69	15465943.69	15555195.798	15465943.69	15274448.2076	15465943.69
0.18	15628220.25	15664732.476	15668789.39	15668789.39	15671228.0732	15668789.39	15470000.604	15668789.39
0.2	15672722.75	15701535.464	15672722.75	15744754.535	15787973.606	15672722.75	15787973.606	15672722.75
0.22	15829148.026	15842745.9026	15878594.85	15878594.85	15877358.6794	15816786.32	15852635.2674	15816786.32
0.24	15899437.21	15911942.626	15930700.75	15930700.75	15944029.8188	15878594.85	15897352.974	15930700.75
0.26	15980684.758	16002344.4948	16014007.43	16014007.43	16014203.1952	16014007.43	15942363.6852	16014007.43
0.28	16014468.054	16023623.7764	16014583.21	16014583.21	16073346.8916	16014583.21	16118549.7236	16014583.21
0.3	16127590.29	16137999.867	16127590.29	16144939.585	16151879.303	16127590.29	16151879.303	16127590.29
0.32	16211805.054	16291030.9324	16409869.75	16409869.75	16380160.0456	16162288.88	16281127.6976	16409869.75
0.34	16434545.698	16455520.2538	16471559.62	16471559.62	16485143.3992	16409869.75	16425909.1162	16471559.62
0.36	16607397.412	16688900.0872	16697955.94	16697955.94	16703561.9344	16697955.94	16480615.4728	16697955.94
0.38	16716642.588	16730457.8756	16721314.25	16721314.25	16742649.3764	16721314.25	16762968.5444	16721314.25
0.4	16772112.17	16780824.982	16772112.17	16783003.185	16785181.388	16772112.17	16785181.388	16772112.17
0.42	16808688.79	16839757.429	16867867.15	16867867.15	16851593.101	16793894.2	16822003.921	16867867.15
0.44	16879214.51	16891696.606	16896235.55	16896235.55	16895100.814	16867867.15	16872406.094	16896235.55
0.46	17066731.262	17180419.0238	17180395.07	17180395.07	17180450.9622	17180395.07	17180770.3462	17180395.07
0.48	17180714.454	17187167.3492	17180794.3	17180794.3	17188077.7848	17180794.3	17197182.1408	17180794.3
0.5	17203555.19	17268123.695	17203555.19	17268123.695	17268123.695	17203555.19	17268123.695	17268123.695
0.52	17355076.956	17413277.3216	17444615.98	17444615.98	17408800.3704	17332692.2	17364030.8584	17444615.98
0.54	17452221.116	17462488.0496	17463628.82	17463628.82	17460967.0224	17444615.98	17445756.7504	17463628.82
0.56	17567883.968	17641788.368	17637387.4	17637387.4	17638487.642	17637387.4	17660492.482	17637387.4
0.58	17659392.24	17677994.4934	17664893.45	17664893.45	17672478.2646	17664893.45	17686268.8366	17664893.45
0.6	17699369.88	17761390.734	17699369.88	17751053.925	17740717.116	17699369.88	17740717.116	17802737.97
0.62	17814767.372	17852058.5182	17862884.98	17862884.98	17837623.2358	17802737.97	17813564.4318	17862884.98
0.64	17902743.012	17962738.5392	17962530.06	17962530.06	17938615.2408	17862884.98	17967533.5608	17962530.06
0.66	17965657.248	17968949.4254	17967742.04	17967742.04	17967429.3212	17967742.04	17971178.4446	17967742.04
0.68	17971457.072	17996147.6492	17972385.83	17972385.83	17978326.2848	17972385.83	17998127.8008	17972385.83
0.7	18021889.62	18119454.381	18021889.62	18091578.735	18063703.089	18021889.62	18063703.089	18161267.85
0.72	18169739.942	18200239.4732	18203628.31	18203628.31	18181600.8708	18161267.85	18164656.6868	18203628.31
0.74	18326153.466	18531635.3116	18509941.2	18509941.2	18405794.8174	18203628.31	18643205.0284	18509941.2
0.76	18602915.964	18803390.2328	18664899.14	18664899.14	18640105.8696	18664899.14	18911105.5272	18664899.14
0.78	18972657.124	19082810.2388	19049596.62	19049596.62	19050741.9172	19049596.62	19073647.8612	19106861.48
0.8	19106861.48	19451196.944	19106861.48	19322071.145	19192945.346	19106861.48	19192945.346	19537280.81
0.82	19538237.918	19544697.0868	19542066.35	19542066.35	19539099.3152	19537280.81	19670972.4532	19542066.35
0.84	19594681.086	19677917.5092	19673603.19	19673603.19	19615726.9804	19542066.35	19687265.2008	19673603.19
0.86	19684388.988	19906813.6672	19691579.52	19691579.52	19686905.6742	19691579.52	19944245.6928	19691579.52
0.88	20065899.776	20183169.2652	20159479.84	20159479.84	20122047.8144	20159479.84	20170627.8048	20194317.23
0.9	20194317.23	20239680.569	20194317.23	20219519.085	20199357.601	20194317.23	20199357.601	20244720.94
0.92	20253097.206	20304090.2828	20286602.27	20286602.27	20256447.7124	20244720.94	20414847.6972	20286602.27
0.94	20344895.646	20643421.8472	20432335.71	20432335.71	20353639.6524	20286602.27	20842091.1528	20432335.71
0.96	20804840.658	21185498.374	21053177.29	21053177.29	20829674.3212	21053177.29	21157143.856	21289464.94
0.98	21242207.41	21432858.034	21289464.94	21289464.94	21246933.163	21289464.94	21329909.146	21473302.24

\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
0.02 & 13622372.194 & 13628838.0924 & 13881008.13 & 13881008.13 & 13945308.5922 & 13557713.21 & 13809883.2476 & 13557713.21 \tabularnewline
0.04 & 14023898.046 & 14038187.0376 & 14238232.92 & 14238232.92 & 14277347.3484 & 13881008.13 & 14081054.0124 & 13881008.13 \tabularnewline
0.06 & 14303423.634 & 14309942.7054 & 14346884.11 & 14346884.11 & 14440971.82 & 14346884.11 & 14275174.3246 & 14346884.11 \tabularnewline
0.08 & 14486273.31 & 14500212.23 & 14521120.61 & 14521120.61 & 14672808.5972 & 14521120.61 & 14367792.49 & 14521120.61 \tabularnewline
0.1 & 14731798.37 & 14765800.508 & 14731798.37 & 14901809.06 & 15037817.612 & 14731798.37 & 15037817.612 & 14731798.37 \tabularnewline
0.12 & 15095415.162 & 15109572.4092 & 15189796.81 & 15189796.81 & 15191731.1412 & 15071819.75 & 15152044.1508 & 15071819.75 \tabularnewline
0.14 & 15199468.466 & 15202853.5456 & 15213975.95 & 15213975.95 & 15279487.5624 & 15189796.81 & 15200919.2144 & 15213975.95 \tabularnewline
0.16 & 15365156.594 & 15405471.4324 & 15465943.69 & 15465943.69 & 15555195.798 & 15465943.69 & 15274448.2076 & 15465943.69 \tabularnewline
0.18 & 15628220.25 & 15664732.476 & 15668789.39 & 15668789.39 & 15671228.0732 & 15668789.39 & 15470000.604 & 15668789.39 \tabularnewline
0.2 & 15672722.75 & 15701535.464 & 15672722.75 & 15744754.535 & 15787973.606 & 15672722.75 & 15787973.606 & 15672722.75 \tabularnewline
0.22 & 15829148.026 & 15842745.9026 & 15878594.85 & 15878594.85 & 15877358.6794 & 15816786.32 & 15852635.2674 & 15816786.32 \tabularnewline
0.24 & 15899437.21 & 15911942.626 & 15930700.75 & 15930700.75 & 15944029.8188 & 15878594.85 & 15897352.974 & 15930700.75 \tabularnewline
0.26 & 15980684.758 & 16002344.4948 & 16014007.43 & 16014007.43 & 16014203.1952 & 16014007.43 & 15942363.6852 & 16014007.43 \tabularnewline
0.28 & 16014468.054 & 16023623.7764 & 16014583.21 & 16014583.21 & 16073346.8916 & 16014583.21 & 16118549.7236 & 16014583.21 \tabularnewline
0.3 & 16127590.29 & 16137999.867 & 16127590.29 & 16144939.585 & 16151879.303 & 16127590.29 & 16151879.303 & 16127590.29 \tabularnewline
0.32 & 16211805.054 & 16291030.9324 & 16409869.75 & 16409869.75 & 16380160.0456 & 16162288.88 & 16281127.6976 & 16409869.75 \tabularnewline
0.34 & 16434545.698 & 16455520.2538 & 16471559.62 & 16471559.62 & 16485143.3992 & 16409869.75 & 16425909.1162 & 16471559.62 \tabularnewline
0.36 & 16607397.412 & 16688900.0872 & 16697955.94 & 16697955.94 & 16703561.9344 & 16697955.94 & 16480615.4728 & 16697955.94 \tabularnewline
0.38 & 16716642.588 & 16730457.8756 & 16721314.25 & 16721314.25 & 16742649.3764 & 16721314.25 & 16762968.5444 & 16721314.25 \tabularnewline
0.4 & 16772112.17 & 16780824.982 & 16772112.17 & 16783003.185 & 16785181.388 & 16772112.17 & 16785181.388 & 16772112.17 \tabularnewline
0.42 & 16808688.79 & 16839757.429 & 16867867.15 & 16867867.15 & 16851593.101 & 16793894.2 & 16822003.921 & 16867867.15 \tabularnewline
0.44 & 16879214.51 & 16891696.606 & 16896235.55 & 16896235.55 & 16895100.814 & 16867867.15 & 16872406.094 & 16896235.55 \tabularnewline
0.46 & 17066731.262 & 17180419.0238 & 17180395.07 & 17180395.07 & 17180450.9622 & 17180395.07 & 17180770.3462 & 17180395.07 \tabularnewline
0.48 & 17180714.454 & 17187167.3492 & 17180794.3 & 17180794.3 & 17188077.7848 & 17180794.3 & 17197182.1408 & 17180794.3 \tabularnewline
0.5 & 17203555.19 & 17268123.695 & 17203555.19 & 17268123.695 & 17268123.695 & 17203555.19 & 17268123.695 & 17268123.695 \tabularnewline
0.52 & 17355076.956 & 17413277.3216 & 17444615.98 & 17444615.98 & 17408800.3704 & 17332692.2 & 17364030.8584 & 17444615.98 \tabularnewline
0.54 & 17452221.116 & 17462488.0496 & 17463628.82 & 17463628.82 & 17460967.0224 & 17444615.98 & 17445756.7504 & 17463628.82 \tabularnewline
0.56 & 17567883.968 & 17641788.368 & 17637387.4 & 17637387.4 & 17638487.642 & 17637387.4 & 17660492.482 & 17637387.4 \tabularnewline
0.58 & 17659392.24 & 17677994.4934 & 17664893.45 & 17664893.45 & 17672478.2646 & 17664893.45 & 17686268.8366 & 17664893.45 \tabularnewline
0.6 & 17699369.88 & 17761390.734 & 17699369.88 & 17751053.925 & 17740717.116 & 17699369.88 & 17740717.116 & 17802737.97 \tabularnewline
0.62 & 17814767.372 & 17852058.5182 & 17862884.98 & 17862884.98 & 17837623.2358 & 17802737.97 & 17813564.4318 & 17862884.98 \tabularnewline
0.64 & 17902743.012 & 17962738.5392 & 17962530.06 & 17962530.06 & 17938615.2408 & 17862884.98 & 17967533.5608 & 17962530.06 \tabularnewline
0.66 & 17965657.248 & 17968949.4254 & 17967742.04 & 17967742.04 & 17967429.3212 & 17967742.04 & 17971178.4446 & 17967742.04 \tabularnewline
0.68 & 17971457.072 & 17996147.6492 & 17972385.83 & 17972385.83 & 17978326.2848 & 17972385.83 & 17998127.8008 & 17972385.83 \tabularnewline
0.7 & 18021889.62 & 18119454.381 & 18021889.62 & 18091578.735 & 18063703.089 & 18021889.62 & 18063703.089 & 18161267.85 \tabularnewline
0.72 & 18169739.942 & 18200239.4732 & 18203628.31 & 18203628.31 & 18181600.8708 & 18161267.85 & 18164656.6868 & 18203628.31 \tabularnewline
0.74 & 18326153.466 & 18531635.3116 & 18509941.2 & 18509941.2 & 18405794.8174 & 18203628.31 & 18643205.0284 & 18509941.2 \tabularnewline
0.76 & 18602915.964 & 18803390.2328 & 18664899.14 & 18664899.14 & 18640105.8696 & 18664899.14 & 18911105.5272 & 18664899.14 \tabularnewline
0.78 & 18972657.124 & 19082810.2388 & 19049596.62 & 19049596.62 & 19050741.9172 & 19049596.62 & 19073647.8612 & 19106861.48 \tabularnewline
0.8 & 19106861.48 & 19451196.944 & 19106861.48 & 19322071.145 & 19192945.346 & 19106861.48 & 19192945.346 & 19537280.81 \tabularnewline
0.82 & 19538237.918 & 19544697.0868 & 19542066.35 & 19542066.35 & 19539099.3152 & 19537280.81 & 19670972.4532 & 19542066.35 \tabularnewline
0.84 & 19594681.086 & 19677917.5092 & 19673603.19 & 19673603.19 & 19615726.9804 & 19542066.35 & 19687265.2008 & 19673603.19 \tabularnewline
0.86 & 19684388.988 & 19906813.6672 & 19691579.52 & 19691579.52 & 19686905.6742 & 19691579.52 & 19944245.6928 & 19691579.52 \tabularnewline
0.88 & 20065899.776 & 20183169.2652 & 20159479.84 & 20159479.84 & 20122047.8144 & 20159479.84 & 20170627.8048 & 20194317.23 \tabularnewline
0.9 & 20194317.23 & 20239680.569 & 20194317.23 & 20219519.085 & 20199357.601 & 20194317.23 & 20199357.601 & 20244720.94 \tabularnewline
0.92 & 20253097.206 & 20304090.2828 & 20286602.27 & 20286602.27 & 20256447.7124 & 20244720.94 & 20414847.6972 & 20286602.27 \tabularnewline
0.94 & 20344895.646 & 20643421.8472 & 20432335.71 & 20432335.71 & 20353639.6524 & 20286602.27 & 20842091.1528 & 20432335.71 \tabularnewline
0.96 & 20804840.658 & 21185498.374 & 21053177.29 & 21053177.29 & 20829674.3212 & 21053177.29 & 21157143.856 & 21289464.94 \tabularnewline
0.98 & 21242207.41 & 21432858.034 & 21289464.94 & 21289464.94 & 21246933.163 & 21289464.94 & 21329909.146 & 21473302.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103685&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]13622372.194[/C][C]13628838.0924[/C][C]13881008.13[/C][C]13881008.13[/C][C]13945308.5922[/C][C]13557713.21[/C][C]13809883.2476[/C][C]13557713.21[/C][/ROW]
[ROW][C]0.04[/C][C]14023898.046[/C][C]14038187.0376[/C][C]14238232.92[/C][C]14238232.92[/C][C]14277347.3484[/C][C]13881008.13[/C][C]14081054.0124[/C][C]13881008.13[/C][/ROW]
[ROW][C]0.06[/C][C]14303423.634[/C][C]14309942.7054[/C][C]14346884.11[/C][C]14346884.11[/C][C]14440971.82[/C][C]14346884.11[/C][C]14275174.3246[/C][C]14346884.11[/C][/ROW]
[ROW][C]0.08[/C][C]14486273.31[/C][C]14500212.23[/C][C]14521120.61[/C][C]14521120.61[/C][C]14672808.5972[/C][C]14521120.61[/C][C]14367792.49[/C][C]14521120.61[/C][/ROW]
[ROW][C]0.1[/C][C]14731798.37[/C][C]14765800.508[/C][C]14731798.37[/C][C]14901809.06[/C][C]15037817.612[/C][C]14731798.37[/C][C]15037817.612[/C][C]14731798.37[/C][/ROW]
[ROW][C]0.12[/C][C]15095415.162[/C][C]15109572.4092[/C][C]15189796.81[/C][C]15189796.81[/C][C]15191731.1412[/C][C]15071819.75[/C][C]15152044.1508[/C][C]15071819.75[/C][/ROW]
[ROW][C]0.14[/C][C]15199468.466[/C][C]15202853.5456[/C][C]15213975.95[/C][C]15213975.95[/C][C]15279487.5624[/C][C]15189796.81[/C][C]15200919.2144[/C][C]15213975.95[/C][/ROW]
[ROW][C]0.16[/C][C]15365156.594[/C][C]15405471.4324[/C][C]15465943.69[/C][C]15465943.69[/C][C]15555195.798[/C][C]15465943.69[/C][C]15274448.2076[/C][C]15465943.69[/C][/ROW]
[ROW][C]0.18[/C][C]15628220.25[/C][C]15664732.476[/C][C]15668789.39[/C][C]15668789.39[/C][C]15671228.0732[/C][C]15668789.39[/C][C]15470000.604[/C][C]15668789.39[/C][/ROW]
[ROW][C]0.2[/C][C]15672722.75[/C][C]15701535.464[/C][C]15672722.75[/C][C]15744754.535[/C][C]15787973.606[/C][C]15672722.75[/C][C]15787973.606[/C][C]15672722.75[/C][/ROW]
[ROW][C]0.22[/C][C]15829148.026[/C][C]15842745.9026[/C][C]15878594.85[/C][C]15878594.85[/C][C]15877358.6794[/C][C]15816786.32[/C][C]15852635.2674[/C][C]15816786.32[/C][/ROW]
[ROW][C]0.24[/C][C]15899437.21[/C][C]15911942.626[/C][C]15930700.75[/C][C]15930700.75[/C][C]15944029.8188[/C][C]15878594.85[/C][C]15897352.974[/C][C]15930700.75[/C][/ROW]
[ROW][C]0.26[/C][C]15980684.758[/C][C]16002344.4948[/C][C]16014007.43[/C][C]16014007.43[/C][C]16014203.1952[/C][C]16014007.43[/C][C]15942363.6852[/C][C]16014007.43[/C][/ROW]
[ROW][C]0.28[/C][C]16014468.054[/C][C]16023623.7764[/C][C]16014583.21[/C][C]16014583.21[/C][C]16073346.8916[/C][C]16014583.21[/C][C]16118549.7236[/C][C]16014583.21[/C][/ROW]
[ROW][C]0.3[/C][C]16127590.29[/C][C]16137999.867[/C][C]16127590.29[/C][C]16144939.585[/C][C]16151879.303[/C][C]16127590.29[/C][C]16151879.303[/C][C]16127590.29[/C][/ROW]
[ROW][C]0.32[/C][C]16211805.054[/C][C]16291030.9324[/C][C]16409869.75[/C][C]16409869.75[/C][C]16380160.0456[/C][C]16162288.88[/C][C]16281127.6976[/C][C]16409869.75[/C][/ROW]
[ROW][C]0.34[/C][C]16434545.698[/C][C]16455520.2538[/C][C]16471559.62[/C][C]16471559.62[/C][C]16485143.3992[/C][C]16409869.75[/C][C]16425909.1162[/C][C]16471559.62[/C][/ROW]
[ROW][C]0.36[/C][C]16607397.412[/C][C]16688900.0872[/C][C]16697955.94[/C][C]16697955.94[/C][C]16703561.9344[/C][C]16697955.94[/C][C]16480615.4728[/C][C]16697955.94[/C][/ROW]
[ROW][C]0.38[/C][C]16716642.588[/C][C]16730457.8756[/C][C]16721314.25[/C][C]16721314.25[/C][C]16742649.3764[/C][C]16721314.25[/C][C]16762968.5444[/C][C]16721314.25[/C][/ROW]
[ROW][C]0.4[/C][C]16772112.17[/C][C]16780824.982[/C][C]16772112.17[/C][C]16783003.185[/C][C]16785181.388[/C][C]16772112.17[/C][C]16785181.388[/C][C]16772112.17[/C][/ROW]
[ROW][C]0.42[/C][C]16808688.79[/C][C]16839757.429[/C][C]16867867.15[/C][C]16867867.15[/C][C]16851593.101[/C][C]16793894.2[/C][C]16822003.921[/C][C]16867867.15[/C][/ROW]
[ROW][C]0.44[/C][C]16879214.51[/C][C]16891696.606[/C][C]16896235.55[/C][C]16896235.55[/C][C]16895100.814[/C][C]16867867.15[/C][C]16872406.094[/C][C]16896235.55[/C][/ROW]
[ROW][C]0.46[/C][C]17066731.262[/C][C]17180419.0238[/C][C]17180395.07[/C][C]17180395.07[/C][C]17180450.9622[/C][C]17180395.07[/C][C]17180770.3462[/C][C]17180395.07[/C][/ROW]
[ROW][C]0.48[/C][C]17180714.454[/C][C]17187167.3492[/C][C]17180794.3[/C][C]17180794.3[/C][C]17188077.7848[/C][C]17180794.3[/C][C]17197182.1408[/C][C]17180794.3[/C][/ROW]
[ROW][C]0.5[/C][C]17203555.19[/C][C]17268123.695[/C][C]17203555.19[/C][C]17268123.695[/C][C]17268123.695[/C][C]17203555.19[/C][C]17268123.695[/C][C]17268123.695[/C][/ROW]
[ROW][C]0.52[/C][C]17355076.956[/C][C]17413277.3216[/C][C]17444615.98[/C][C]17444615.98[/C][C]17408800.3704[/C][C]17332692.2[/C][C]17364030.8584[/C][C]17444615.98[/C][/ROW]
[ROW][C]0.54[/C][C]17452221.116[/C][C]17462488.0496[/C][C]17463628.82[/C][C]17463628.82[/C][C]17460967.0224[/C][C]17444615.98[/C][C]17445756.7504[/C][C]17463628.82[/C][/ROW]
[ROW][C]0.56[/C][C]17567883.968[/C][C]17641788.368[/C][C]17637387.4[/C][C]17637387.4[/C][C]17638487.642[/C][C]17637387.4[/C][C]17660492.482[/C][C]17637387.4[/C][/ROW]
[ROW][C]0.58[/C][C]17659392.24[/C][C]17677994.4934[/C][C]17664893.45[/C][C]17664893.45[/C][C]17672478.2646[/C][C]17664893.45[/C][C]17686268.8366[/C][C]17664893.45[/C][/ROW]
[ROW][C]0.6[/C][C]17699369.88[/C][C]17761390.734[/C][C]17699369.88[/C][C]17751053.925[/C][C]17740717.116[/C][C]17699369.88[/C][C]17740717.116[/C][C]17802737.97[/C][/ROW]
[ROW][C]0.62[/C][C]17814767.372[/C][C]17852058.5182[/C][C]17862884.98[/C][C]17862884.98[/C][C]17837623.2358[/C][C]17802737.97[/C][C]17813564.4318[/C][C]17862884.98[/C][/ROW]
[ROW][C]0.64[/C][C]17902743.012[/C][C]17962738.5392[/C][C]17962530.06[/C][C]17962530.06[/C][C]17938615.2408[/C][C]17862884.98[/C][C]17967533.5608[/C][C]17962530.06[/C][/ROW]
[ROW][C]0.66[/C][C]17965657.248[/C][C]17968949.4254[/C][C]17967742.04[/C][C]17967742.04[/C][C]17967429.3212[/C][C]17967742.04[/C][C]17971178.4446[/C][C]17967742.04[/C][/ROW]
[ROW][C]0.68[/C][C]17971457.072[/C][C]17996147.6492[/C][C]17972385.83[/C][C]17972385.83[/C][C]17978326.2848[/C][C]17972385.83[/C][C]17998127.8008[/C][C]17972385.83[/C][/ROW]
[ROW][C]0.7[/C][C]18021889.62[/C][C]18119454.381[/C][C]18021889.62[/C][C]18091578.735[/C][C]18063703.089[/C][C]18021889.62[/C][C]18063703.089[/C][C]18161267.85[/C][/ROW]
[ROW][C]0.72[/C][C]18169739.942[/C][C]18200239.4732[/C][C]18203628.31[/C][C]18203628.31[/C][C]18181600.8708[/C][C]18161267.85[/C][C]18164656.6868[/C][C]18203628.31[/C][/ROW]
[ROW][C]0.74[/C][C]18326153.466[/C][C]18531635.3116[/C][C]18509941.2[/C][C]18509941.2[/C][C]18405794.8174[/C][C]18203628.31[/C][C]18643205.0284[/C][C]18509941.2[/C][/ROW]
[ROW][C]0.76[/C][C]18602915.964[/C][C]18803390.2328[/C][C]18664899.14[/C][C]18664899.14[/C][C]18640105.8696[/C][C]18664899.14[/C][C]18911105.5272[/C][C]18664899.14[/C][/ROW]
[ROW][C]0.78[/C][C]18972657.124[/C][C]19082810.2388[/C][C]19049596.62[/C][C]19049596.62[/C][C]19050741.9172[/C][C]19049596.62[/C][C]19073647.8612[/C][C]19106861.48[/C][/ROW]
[ROW][C]0.8[/C][C]19106861.48[/C][C]19451196.944[/C][C]19106861.48[/C][C]19322071.145[/C][C]19192945.346[/C][C]19106861.48[/C][C]19192945.346[/C][C]19537280.81[/C][/ROW]
[ROW][C]0.82[/C][C]19538237.918[/C][C]19544697.0868[/C][C]19542066.35[/C][C]19542066.35[/C][C]19539099.3152[/C][C]19537280.81[/C][C]19670972.4532[/C][C]19542066.35[/C][/ROW]
[ROW][C]0.84[/C][C]19594681.086[/C][C]19677917.5092[/C][C]19673603.19[/C][C]19673603.19[/C][C]19615726.9804[/C][C]19542066.35[/C][C]19687265.2008[/C][C]19673603.19[/C][/ROW]
[ROW][C]0.86[/C][C]19684388.988[/C][C]19906813.6672[/C][C]19691579.52[/C][C]19691579.52[/C][C]19686905.6742[/C][C]19691579.52[/C][C]19944245.6928[/C][C]19691579.52[/C][/ROW]
[ROW][C]0.88[/C][C]20065899.776[/C][C]20183169.2652[/C][C]20159479.84[/C][C]20159479.84[/C][C]20122047.8144[/C][C]20159479.84[/C][C]20170627.8048[/C][C]20194317.23[/C][/ROW]
[ROW][C]0.9[/C][C]20194317.23[/C][C]20239680.569[/C][C]20194317.23[/C][C]20219519.085[/C][C]20199357.601[/C][C]20194317.23[/C][C]20199357.601[/C][C]20244720.94[/C][/ROW]
[ROW][C]0.92[/C][C]20253097.206[/C][C]20304090.2828[/C][C]20286602.27[/C][C]20286602.27[/C][C]20256447.7124[/C][C]20244720.94[/C][C]20414847.6972[/C][C]20286602.27[/C][/ROW]
[ROW][C]0.94[/C][C]20344895.646[/C][C]20643421.8472[/C][C]20432335.71[/C][C]20432335.71[/C][C]20353639.6524[/C][C]20286602.27[/C][C]20842091.1528[/C][C]20432335.71[/C][/ROW]
[ROW][C]0.96[/C][C]20804840.658[/C][C]21185498.374[/C][C]21053177.29[/C][C]21053177.29[/C][C]20829674.3212[/C][C]21053177.29[/C][C]21157143.856[/C][C]21289464.94[/C][/ROW]
[ROW][C]0.98[/C][C]21242207.41[/C][C]21432858.034[/C][C]21289464.94[/C][C]21289464.94[/C][C]21246933.163[/C][C]21289464.94[/C][C]21329909.146[/C][C]21473302.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103685&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103685&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	13622372.194	13628838.0924	13881008.13	13881008.13	13945308.5922	13557713.21	13809883.2476	13557713.21
0.04	14023898.046	14038187.0376	14238232.92	14238232.92	14277347.3484	13881008.13	14081054.0124	13881008.13
0.06	14303423.634	14309942.7054	14346884.11	14346884.11	14440971.82	14346884.11	14275174.3246	14346884.11
0.08	14486273.31	14500212.23	14521120.61	14521120.61	14672808.5972	14521120.61	14367792.49	14521120.61
0.1	14731798.37	14765800.508	14731798.37	14901809.06	15037817.612	14731798.37	15037817.612	14731798.37
0.12	15095415.162	15109572.4092	15189796.81	15189796.81	15191731.1412	15071819.75	15152044.1508	15071819.75
0.14	15199468.466	15202853.5456	15213975.95	15213975.95	15279487.5624	15189796.81	15200919.2144	15213975.95
0.16	15365156.594	15405471.4324	15465943.69	15465943.69	15555195.798	15465943.69	15274448.2076	15465943.69
0.18	15628220.25	15664732.476	15668789.39	15668789.39	15671228.0732	15668789.39	15470000.604	15668789.39
0.2	15672722.75	15701535.464	15672722.75	15744754.535	15787973.606	15672722.75	15787973.606	15672722.75
0.22	15829148.026	15842745.9026	15878594.85	15878594.85	15877358.6794	15816786.32	15852635.2674	15816786.32
0.24	15899437.21	15911942.626	15930700.75	15930700.75	15944029.8188	15878594.85	15897352.974	15930700.75
0.26	15980684.758	16002344.4948	16014007.43	16014007.43	16014203.1952	16014007.43	15942363.6852	16014007.43
0.28	16014468.054	16023623.7764	16014583.21	16014583.21	16073346.8916	16014583.21	16118549.7236	16014583.21
0.3	16127590.29	16137999.867	16127590.29	16144939.585	16151879.303	16127590.29	16151879.303	16127590.29
0.32	16211805.054	16291030.9324	16409869.75	16409869.75	16380160.0456	16162288.88	16281127.6976	16409869.75
0.34	16434545.698	16455520.2538	16471559.62	16471559.62	16485143.3992	16409869.75	16425909.1162	16471559.62
0.36	16607397.412	16688900.0872	16697955.94	16697955.94	16703561.9344	16697955.94	16480615.4728	16697955.94
0.38	16716642.588	16730457.8756	16721314.25	16721314.25	16742649.3764	16721314.25	16762968.5444	16721314.25
0.4	16772112.17	16780824.982	16772112.17	16783003.185	16785181.388	16772112.17	16785181.388	16772112.17
0.42	16808688.79	16839757.429	16867867.15	16867867.15	16851593.101	16793894.2	16822003.921	16867867.15
0.44	16879214.51	16891696.606	16896235.55	16896235.55	16895100.814	16867867.15	16872406.094	16896235.55
0.46	17066731.262	17180419.0238	17180395.07	17180395.07	17180450.9622	17180395.07	17180770.3462	17180395.07
0.48	17180714.454	17187167.3492	17180794.3	17180794.3	17188077.7848	17180794.3	17197182.1408	17180794.3
0.5	17203555.19	17268123.695	17203555.19	17268123.695	17268123.695	17203555.19	17268123.695	17268123.695
0.52	17355076.956	17413277.3216	17444615.98	17444615.98	17408800.3704	17332692.2	17364030.8584	17444615.98
0.54	17452221.116	17462488.0496	17463628.82	17463628.82	17460967.0224	17444615.98	17445756.7504	17463628.82
0.56	17567883.968	17641788.368	17637387.4	17637387.4	17638487.642	17637387.4	17660492.482	17637387.4
0.58	17659392.24	17677994.4934	17664893.45	17664893.45	17672478.2646	17664893.45	17686268.8366	17664893.45
0.6	17699369.88	17761390.734	17699369.88	17751053.925	17740717.116	17699369.88	17740717.116	17802737.97
0.62	17814767.372	17852058.5182	17862884.98	17862884.98	17837623.2358	17802737.97	17813564.4318	17862884.98
0.64	17902743.012	17962738.5392	17962530.06	17962530.06	17938615.2408	17862884.98	17967533.5608	17962530.06
0.66	17965657.248	17968949.4254	17967742.04	17967742.04	17967429.3212	17967742.04	17971178.4446	17967742.04
0.68	17971457.072	17996147.6492	17972385.83	17972385.83	17978326.2848	17972385.83	17998127.8008	17972385.83
0.7	18021889.62	18119454.381	18021889.62	18091578.735	18063703.089	18021889.62	18063703.089	18161267.85
0.72	18169739.942	18200239.4732	18203628.31	18203628.31	18181600.8708	18161267.85	18164656.6868	18203628.31
0.74	18326153.466	18531635.3116	18509941.2	18509941.2	18405794.8174	18203628.31	18643205.0284	18509941.2
0.76	18602915.964	18803390.2328	18664899.14	18664899.14	18640105.8696	18664899.14	18911105.5272	18664899.14
0.78	18972657.124	19082810.2388	19049596.62	19049596.62	19050741.9172	19049596.62	19073647.8612	19106861.48
0.8	19106861.48	19451196.944	19106861.48	19322071.145	19192945.346	19106861.48	19192945.346	19537280.81
0.82	19538237.918	19544697.0868	19542066.35	19542066.35	19539099.3152	19537280.81	19670972.4532	19542066.35
0.84	19594681.086	19677917.5092	19673603.19	19673603.19	19615726.9804	19542066.35	19687265.2008	19673603.19
0.86	19684388.988	19906813.6672	19691579.52	19691579.52	19686905.6742	19691579.52	19944245.6928	19691579.52
0.88	20065899.776	20183169.2652	20159479.84	20159479.84	20122047.8144	20159479.84	20170627.8048	20194317.23
0.9	20194317.23	20239680.569	20194317.23	20219519.085	20199357.601	20194317.23	20199357.601	20244720.94
0.92	20253097.206	20304090.2828	20286602.27	20286602.27	20256447.7124	20244720.94	20414847.6972	20286602.27
0.94	20344895.646	20643421.8472	20432335.71	20432335.71	20353639.6524	20286602.27	20842091.1528	20432335.71
0.96	20804840.658	21185498.374	21053177.29	21053177.29	20829674.3212	21053177.29	21157143.856	21289464.94
0.98	21242207.41	21432858.034	21289464.94	21289464.94	21246933.163	21289464.94	21329909.146	21473302.24

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