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rwasp_percentiles.wasp

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Percentiles

Date of computation

Tue, 30 Nov 2010 16:42:58 +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/t1291135515we6z4mhibghjivk.htm/, Retrieved Mon, 29 Apr 2024 10:51:44 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103667, Retrieved Mon, 29 Apr 2024 10:51:44 +0000

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Estimated Impact

115

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] [9d72585f2b7b60ae977d4816136e1c95] [Current]
-    D        [Percentiles] [QQ plot paper] [2010-11-30 17:04:15] [247f085ab5b7724f755ad01dc754a3e8] 

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13768040,14
17487530,67
16198106,13
17535166,38
16571771,60
16198892,67
16554237,93
19554176,37
15903762,33
18003781,65
18329610,38
16260733,42
14851949,20
18174068,44
18406552,23
18466459,42
16016524,60
17428458,32
17167191,42
19629987,60
17183629,01
18344657,85
19301440,71
18147463,68
16192909,22
18374420,60
20515191,95
18957217,20
16471529,53
18746813,27
19009453,59
19211178,55
20547653,75
19325754,03
20605542,58
20056915,06
16141449,72
20359793,22
19711553,27
15638580,70
14384486,00
13855616,12
14308336,46
15290621,44
14423755,53
13779681,49
15686348,94
14733828,17
12522497,94
16189383,57
16059123,25
16007123,26
15806842,33
15159951,13
15692144,17
18908869,11
16969881,42
16997477,78
19858875,65
17681170,13

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=103667&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=103667&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103667&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	12771606.38	12796517.224	13768040.14	13768040.14	13770135.583	12522497.94	13494020.856	12522497.94
0.04	13772696.68	13773162.334	13779681.49	13779681.49	13807017.9568	13768040.14	13774559.296	13768040.14
0.06	13825242.268	13829798.3458	13855616.12	13855616.12	14100085.1036	13855616.12	13805499.2642	13855616.12
0.08	14217792.392	14254010.0192	14308336.46	14308336.46	14363164.1288	14308336.46	13909942.5608	14308336.46
0.1	14384486	14388412.953	14384486	14404120.765	14419828.577	14384486	14419828.577	14384486
0.12	14485770.058	14522978.7748	14733828.17	14733828.17	14743277.8524	14423755.53	14634604.9252	14423755.53
0.14	14781076.582	14797613.5262	14851949.2	14851949.2	14932029.7018	14733828.17	14788163.8438	14851949.2
0.16	15036750.358	15086030.6668	15159951.13	15159951.13	15217446.0664	15159951.13	14925869.6632	15159951.13
0.18	15264487.378	15288008.0338	15290621.44	15290621.44	15506356.1812	15290621.44	15162564.5362	15290621.44
0.2	15638580.7	15648134.348	15638580.7	15662464.82	15676795.292	15638580.7	15676795.292	15638580.7
0.22	15687507.986	15688782.9366	15692144.17	15692144.17	15692028.2654	15686348.94	15689710.1734	15686348.94
0.24	15738023.434	15765550.9924	15806842.33	15806842.33	15822349.53	15692144.17	15733435.5076	15806842.33
0.26	15864994.33	15890193.53	15903762.33	15903762.33	15938905.0462	15903762.33	15820411.13	15903762.33
0.28	15986451.074	16007875.3672	16007123.26	16007123.26	16012011.9568	16007123.26	16015772.4928	16007123.26
0.3	16016524.6	16029304.195	16016524.6	16037823.925	16046343.655	16016524.6	16046343.655	16016524.6
0.32	16075588.544	16101933.0144	16141449.72	16141449.72	16131570.5436	16059123.25	16098639.9556	16141449.72
0.34	16160623.26	16176920.769	16189383.57	16189383.57	16189595.109	16141449.72	16153912.521	16189383.57
0.36	16191498.96	16192768.194	16192909.22	16192909.22	16194156.4784	16192909.22	16189524.596	16192909.22
0.38	16197066.748	16198247.7072	16198106.13	16198106.13	16198436.4768	16198106.13	16198751.0928	16198106.13
0.4	16198892.67	16223628.97	16198892.67	16229813.045	16235997.12	16198892.67	16235997.12	16198892.67
0.42	16302892.642	16391427.0082	16471529.53	16471529.53	16425154.3858	16260733.42	16340835.9418	16471529.53
0.44	16504612.89	16541004.586	16554237.93	16554237.93	16550929.594	16471529.53	16484762.874	16554237.93
0.46	16564758.132	16595658.1892	16571771.6	16571771.6	16627506.9748	16571771.6	16945994.8308	16571771.6
0.48	16890259.456	16977608.4008	16969881.42	16969881.42	16978712.2552	16969881.42	16989750.7992	16969881.42
0.5	16997477.78	17082334.6	16997477.78	17082334.6	17082334.6	16997477.78	17082334.6	17082334.6
0.52	17170478.938	17179026.4848	17183629.01	17183629.01	17178368.9812	17167191.42	17171793.9452	17183629.01
0.54	17281560.734	17413768.5614	17428458.32	17428458.32	17394182.2166	17183629.01	17198318.7686	17428458.32
0.56	17463901.73	17495152.3836	17487530.67	17487530.67	17489436.0984	17487530.67	17527544.6664	17487530.67
0.58	17525639.238	17590647.805	17535166.38	17535166.38	17567287.205	17535166.38	17625688.705	17535166.38
0.6	17681170.13	17874737.042	17681170.13	17842475.89	17810214.738	17681170.13	17810214.738	18003781.65
0.62	18032518.056	18121600.9146	18147463.68	18147463.68	18087117.2274	18003781.65	18029644.4154	18147463.68
0.64	18158105.584	18180290.1176	18174068.44	18174068.44	18167683.2976	18147463.68	18323388.7024	18174068.44
0.66	18267393.604	18333522.7222	18329610.38	18329610.38	18320277.8636	18329610.38	18340745.5078	18329610.38
0.68	18341648.356	18358943.97	18344657.85	18344657.85	18348229.38	18344657.85	18360134.48	18344657.85
0.7	18374420.6	18396912.741	18374420.6	18390486.415	18384060.089	18374420.6	18384060.089	18406552.23
0.72	18418533.668	18461666.8448	18466459.42	18466459.42	18435307.6812	18406552.23	18411344.8052	18466459.42
0.74	18578600.96	18769501.0876	18746813.27	18746813.27	18651492.961	18466459.42	18886181.2924	18746813.27
0.76	18844046.774	18926274.4224	18908869.11	18908869.11	18882940.1756	18908869.11	18939811.8876	18908869.11
0.78	18947547.582	18987514.3062	18957217.2	18957217.2	18958261.9278	18957217.2	18979156.4838	19009453.59
0.8	19009453.59	19170833.558	19009453.59	19110316.07	19049798.582	19009453.59	19049798.582	19211178.55
0.82	19229230.982	19301926.9764	19301440.71	19301440.71	19245478.1708	19211178.55	19325267.7636	19301440.71
0.84	19311166.038	19380575.3916	19325754.03	19325754.03	19315056.1692	19301440.71	19499355.0084	19325754.03
0.86	19462807.434	19589049.5358	19554176.37	19554176.37	19494786.5616	19554176.37	19595114.4342	19554176.37
0.88	19614825.354	19685452.2556	19629987.6	19629987.6	19623922.7016	19629987.6	19656088.6144	19711553.27
0.9	19711553.27	19844143.412	19711553.27	19785214.46	19726285.508	19711553.27	19726285.508	19858875.65
0.92	19898483.532	20093260.4392	20056915.06	20056915.06	19914326.6848	19858875.65	20323447.8408	20056915.06
0.94	20178066.324	20412628.7882	20359793.22	20359793.22	20196239.0136	20056915.06	20462356.3818	20359793.22
0.96	20453032.458	20533370.558	20515191.95	20515191.95	20459248.4072	20515191.95	20529475.142	20547653.75
0.98	20541161.39	20592807.0374	20547653.75	20547653.75	20541810.626	20547653.75	20560389.2926	20605542.58

\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 & 12771606.38 & 12796517.224 & 13768040.14 & 13768040.14 & 13770135.583 & 12522497.94 & 13494020.856 & 12522497.94 \tabularnewline
0.04 & 13772696.68 & 13773162.334 & 13779681.49 & 13779681.49 & 13807017.9568 & 13768040.14 & 13774559.296 & 13768040.14 \tabularnewline
0.06 & 13825242.268 & 13829798.3458 & 13855616.12 & 13855616.12 & 14100085.1036 & 13855616.12 & 13805499.2642 & 13855616.12 \tabularnewline
0.08 & 14217792.392 & 14254010.0192 & 14308336.46 & 14308336.46 & 14363164.1288 & 14308336.46 & 13909942.5608 & 14308336.46 \tabularnewline
0.1 & 14384486 & 14388412.953 & 14384486 & 14404120.765 & 14419828.577 & 14384486 & 14419828.577 & 14384486 \tabularnewline
0.12 & 14485770.058 & 14522978.7748 & 14733828.17 & 14733828.17 & 14743277.8524 & 14423755.53 & 14634604.9252 & 14423755.53 \tabularnewline
0.14 & 14781076.582 & 14797613.5262 & 14851949.2 & 14851949.2 & 14932029.7018 & 14733828.17 & 14788163.8438 & 14851949.2 \tabularnewline
0.16 & 15036750.358 & 15086030.6668 & 15159951.13 & 15159951.13 & 15217446.0664 & 15159951.13 & 14925869.6632 & 15159951.13 \tabularnewline
0.18 & 15264487.378 & 15288008.0338 & 15290621.44 & 15290621.44 & 15506356.1812 & 15290621.44 & 15162564.5362 & 15290621.44 \tabularnewline
0.2 & 15638580.7 & 15648134.348 & 15638580.7 & 15662464.82 & 15676795.292 & 15638580.7 & 15676795.292 & 15638580.7 \tabularnewline
0.22 & 15687507.986 & 15688782.9366 & 15692144.17 & 15692144.17 & 15692028.2654 & 15686348.94 & 15689710.1734 & 15686348.94 \tabularnewline
0.24 & 15738023.434 & 15765550.9924 & 15806842.33 & 15806842.33 & 15822349.53 & 15692144.17 & 15733435.5076 & 15806842.33 \tabularnewline
0.26 & 15864994.33 & 15890193.53 & 15903762.33 & 15903762.33 & 15938905.0462 & 15903762.33 & 15820411.13 & 15903762.33 \tabularnewline
0.28 & 15986451.074 & 16007875.3672 & 16007123.26 & 16007123.26 & 16012011.9568 & 16007123.26 & 16015772.4928 & 16007123.26 \tabularnewline
0.3 & 16016524.6 & 16029304.195 & 16016524.6 & 16037823.925 & 16046343.655 & 16016524.6 & 16046343.655 & 16016524.6 \tabularnewline
0.32 & 16075588.544 & 16101933.0144 & 16141449.72 & 16141449.72 & 16131570.5436 & 16059123.25 & 16098639.9556 & 16141449.72 \tabularnewline
0.34 & 16160623.26 & 16176920.769 & 16189383.57 & 16189383.57 & 16189595.109 & 16141449.72 & 16153912.521 & 16189383.57 \tabularnewline
0.36 & 16191498.96 & 16192768.194 & 16192909.22 & 16192909.22 & 16194156.4784 & 16192909.22 & 16189524.596 & 16192909.22 \tabularnewline
0.38 & 16197066.748 & 16198247.7072 & 16198106.13 & 16198106.13 & 16198436.4768 & 16198106.13 & 16198751.0928 & 16198106.13 \tabularnewline
0.4 & 16198892.67 & 16223628.97 & 16198892.67 & 16229813.045 & 16235997.12 & 16198892.67 & 16235997.12 & 16198892.67 \tabularnewline
0.42 & 16302892.642 & 16391427.0082 & 16471529.53 & 16471529.53 & 16425154.3858 & 16260733.42 & 16340835.9418 & 16471529.53 \tabularnewline
0.44 & 16504612.89 & 16541004.586 & 16554237.93 & 16554237.93 & 16550929.594 & 16471529.53 & 16484762.874 & 16554237.93 \tabularnewline
0.46 & 16564758.132 & 16595658.1892 & 16571771.6 & 16571771.6 & 16627506.9748 & 16571771.6 & 16945994.8308 & 16571771.6 \tabularnewline
0.48 & 16890259.456 & 16977608.4008 & 16969881.42 & 16969881.42 & 16978712.2552 & 16969881.42 & 16989750.7992 & 16969881.42 \tabularnewline
0.5 & 16997477.78 & 17082334.6 & 16997477.78 & 17082334.6 & 17082334.6 & 16997477.78 & 17082334.6 & 17082334.6 \tabularnewline
0.52 & 17170478.938 & 17179026.4848 & 17183629.01 & 17183629.01 & 17178368.9812 & 17167191.42 & 17171793.9452 & 17183629.01 \tabularnewline
0.54 & 17281560.734 & 17413768.5614 & 17428458.32 & 17428458.32 & 17394182.2166 & 17183629.01 & 17198318.7686 & 17428458.32 \tabularnewline
0.56 & 17463901.73 & 17495152.3836 & 17487530.67 & 17487530.67 & 17489436.0984 & 17487530.67 & 17527544.6664 & 17487530.67 \tabularnewline
0.58 & 17525639.238 & 17590647.805 & 17535166.38 & 17535166.38 & 17567287.205 & 17535166.38 & 17625688.705 & 17535166.38 \tabularnewline
0.6 & 17681170.13 & 17874737.042 & 17681170.13 & 17842475.89 & 17810214.738 & 17681170.13 & 17810214.738 & 18003781.65 \tabularnewline
0.62 & 18032518.056 & 18121600.9146 & 18147463.68 & 18147463.68 & 18087117.2274 & 18003781.65 & 18029644.4154 & 18147463.68 \tabularnewline
0.64 & 18158105.584 & 18180290.1176 & 18174068.44 & 18174068.44 & 18167683.2976 & 18147463.68 & 18323388.7024 & 18174068.44 \tabularnewline
0.66 & 18267393.604 & 18333522.7222 & 18329610.38 & 18329610.38 & 18320277.8636 & 18329610.38 & 18340745.5078 & 18329610.38 \tabularnewline
0.68 & 18341648.356 & 18358943.97 & 18344657.85 & 18344657.85 & 18348229.38 & 18344657.85 & 18360134.48 & 18344657.85 \tabularnewline
0.7 & 18374420.6 & 18396912.741 & 18374420.6 & 18390486.415 & 18384060.089 & 18374420.6 & 18384060.089 & 18406552.23 \tabularnewline
0.72 & 18418533.668 & 18461666.8448 & 18466459.42 & 18466459.42 & 18435307.6812 & 18406552.23 & 18411344.8052 & 18466459.42 \tabularnewline
0.74 & 18578600.96 & 18769501.0876 & 18746813.27 & 18746813.27 & 18651492.961 & 18466459.42 & 18886181.2924 & 18746813.27 \tabularnewline
0.76 & 18844046.774 & 18926274.4224 & 18908869.11 & 18908869.11 & 18882940.1756 & 18908869.11 & 18939811.8876 & 18908869.11 \tabularnewline
0.78 & 18947547.582 & 18987514.3062 & 18957217.2 & 18957217.2 & 18958261.9278 & 18957217.2 & 18979156.4838 & 19009453.59 \tabularnewline
0.8 & 19009453.59 & 19170833.558 & 19009453.59 & 19110316.07 & 19049798.582 & 19009453.59 & 19049798.582 & 19211178.55 \tabularnewline
0.82 & 19229230.982 & 19301926.9764 & 19301440.71 & 19301440.71 & 19245478.1708 & 19211178.55 & 19325267.7636 & 19301440.71 \tabularnewline
0.84 & 19311166.038 & 19380575.3916 & 19325754.03 & 19325754.03 & 19315056.1692 & 19301440.71 & 19499355.0084 & 19325754.03 \tabularnewline
0.86 & 19462807.434 & 19589049.5358 & 19554176.37 & 19554176.37 & 19494786.5616 & 19554176.37 & 19595114.4342 & 19554176.37 \tabularnewline
0.88 & 19614825.354 & 19685452.2556 & 19629987.6 & 19629987.6 & 19623922.7016 & 19629987.6 & 19656088.6144 & 19711553.27 \tabularnewline
0.9 & 19711553.27 & 19844143.412 & 19711553.27 & 19785214.46 & 19726285.508 & 19711553.27 & 19726285.508 & 19858875.65 \tabularnewline
0.92 & 19898483.532 & 20093260.4392 & 20056915.06 & 20056915.06 & 19914326.6848 & 19858875.65 & 20323447.8408 & 20056915.06 \tabularnewline
0.94 & 20178066.324 & 20412628.7882 & 20359793.22 & 20359793.22 & 20196239.0136 & 20056915.06 & 20462356.3818 & 20359793.22 \tabularnewline
0.96 & 20453032.458 & 20533370.558 & 20515191.95 & 20515191.95 & 20459248.4072 & 20515191.95 & 20529475.142 & 20547653.75 \tabularnewline
0.98 & 20541161.39 & 20592807.0374 & 20547653.75 & 20547653.75 & 20541810.626 & 20547653.75 & 20560389.2926 & 20605542.58 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103667&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]12771606.38[/C][C]12796517.224[/C][C]13768040.14[/C][C]13768040.14[/C][C]13770135.583[/C][C]12522497.94[/C][C]13494020.856[/C][C]12522497.94[/C][/ROW]
[ROW][C]0.04[/C][C]13772696.68[/C][C]13773162.334[/C][C]13779681.49[/C][C]13779681.49[/C][C]13807017.9568[/C][C]13768040.14[/C][C]13774559.296[/C][C]13768040.14[/C][/ROW]
[ROW][C]0.06[/C][C]13825242.268[/C][C]13829798.3458[/C][C]13855616.12[/C][C]13855616.12[/C][C]14100085.1036[/C][C]13855616.12[/C][C]13805499.2642[/C][C]13855616.12[/C][/ROW]
[ROW][C]0.08[/C][C]14217792.392[/C][C]14254010.0192[/C][C]14308336.46[/C][C]14308336.46[/C][C]14363164.1288[/C][C]14308336.46[/C][C]13909942.5608[/C][C]14308336.46[/C][/ROW]
[ROW][C]0.1[/C][C]14384486[/C][C]14388412.953[/C][C]14384486[/C][C]14404120.765[/C][C]14419828.577[/C][C]14384486[/C][C]14419828.577[/C][C]14384486[/C][/ROW]
[ROW][C]0.12[/C][C]14485770.058[/C][C]14522978.7748[/C][C]14733828.17[/C][C]14733828.17[/C][C]14743277.8524[/C][C]14423755.53[/C][C]14634604.9252[/C][C]14423755.53[/C][/ROW]
[ROW][C]0.14[/C][C]14781076.582[/C][C]14797613.5262[/C][C]14851949.2[/C][C]14851949.2[/C][C]14932029.7018[/C][C]14733828.17[/C][C]14788163.8438[/C][C]14851949.2[/C][/ROW]
[ROW][C]0.16[/C][C]15036750.358[/C][C]15086030.6668[/C][C]15159951.13[/C][C]15159951.13[/C][C]15217446.0664[/C][C]15159951.13[/C][C]14925869.6632[/C][C]15159951.13[/C][/ROW]
[ROW][C]0.18[/C][C]15264487.378[/C][C]15288008.0338[/C][C]15290621.44[/C][C]15290621.44[/C][C]15506356.1812[/C][C]15290621.44[/C][C]15162564.5362[/C][C]15290621.44[/C][/ROW]
[ROW][C]0.2[/C][C]15638580.7[/C][C]15648134.348[/C][C]15638580.7[/C][C]15662464.82[/C][C]15676795.292[/C][C]15638580.7[/C][C]15676795.292[/C][C]15638580.7[/C][/ROW]
[ROW][C]0.22[/C][C]15687507.986[/C][C]15688782.9366[/C][C]15692144.17[/C][C]15692144.17[/C][C]15692028.2654[/C][C]15686348.94[/C][C]15689710.1734[/C][C]15686348.94[/C][/ROW]
[ROW][C]0.24[/C][C]15738023.434[/C][C]15765550.9924[/C][C]15806842.33[/C][C]15806842.33[/C][C]15822349.53[/C][C]15692144.17[/C][C]15733435.5076[/C][C]15806842.33[/C][/ROW]
[ROW][C]0.26[/C][C]15864994.33[/C][C]15890193.53[/C][C]15903762.33[/C][C]15903762.33[/C][C]15938905.0462[/C][C]15903762.33[/C][C]15820411.13[/C][C]15903762.33[/C][/ROW]
[ROW][C]0.28[/C][C]15986451.074[/C][C]16007875.3672[/C][C]16007123.26[/C][C]16007123.26[/C][C]16012011.9568[/C][C]16007123.26[/C][C]16015772.4928[/C][C]16007123.26[/C][/ROW]
[ROW][C]0.3[/C][C]16016524.6[/C][C]16029304.195[/C][C]16016524.6[/C][C]16037823.925[/C][C]16046343.655[/C][C]16016524.6[/C][C]16046343.655[/C][C]16016524.6[/C][/ROW]
[ROW][C]0.32[/C][C]16075588.544[/C][C]16101933.0144[/C][C]16141449.72[/C][C]16141449.72[/C][C]16131570.5436[/C][C]16059123.25[/C][C]16098639.9556[/C][C]16141449.72[/C][/ROW]
[ROW][C]0.34[/C][C]16160623.26[/C][C]16176920.769[/C][C]16189383.57[/C][C]16189383.57[/C][C]16189595.109[/C][C]16141449.72[/C][C]16153912.521[/C][C]16189383.57[/C][/ROW]
[ROW][C]0.36[/C][C]16191498.96[/C][C]16192768.194[/C][C]16192909.22[/C][C]16192909.22[/C][C]16194156.4784[/C][C]16192909.22[/C][C]16189524.596[/C][C]16192909.22[/C][/ROW]
[ROW][C]0.38[/C][C]16197066.748[/C][C]16198247.7072[/C][C]16198106.13[/C][C]16198106.13[/C][C]16198436.4768[/C][C]16198106.13[/C][C]16198751.0928[/C][C]16198106.13[/C][/ROW]
[ROW][C]0.4[/C][C]16198892.67[/C][C]16223628.97[/C][C]16198892.67[/C][C]16229813.045[/C][C]16235997.12[/C][C]16198892.67[/C][C]16235997.12[/C][C]16198892.67[/C][/ROW]
[ROW][C]0.42[/C][C]16302892.642[/C][C]16391427.0082[/C][C]16471529.53[/C][C]16471529.53[/C][C]16425154.3858[/C][C]16260733.42[/C][C]16340835.9418[/C][C]16471529.53[/C][/ROW]
[ROW][C]0.44[/C][C]16504612.89[/C][C]16541004.586[/C][C]16554237.93[/C][C]16554237.93[/C][C]16550929.594[/C][C]16471529.53[/C][C]16484762.874[/C][C]16554237.93[/C][/ROW]
[ROW][C]0.46[/C][C]16564758.132[/C][C]16595658.1892[/C][C]16571771.6[/C][C]16571771.6[/C][C]16627506.9748[/C][C]16571771.6[/C][C]16945994.8308[/C][C]16571771.6[/C][/ROW]
[ROW][C]0.48[/C][C]16890259.456[/C][C]16977608.4008[/C][C]16969881.42[/C][C]16969881.42[/C][C]16978712.2552[/C][C]16969881.42[/C][C]16989750.7992[/C][C]16969881.42[/C][/ROW]
[ROW][C]0.5[/C][C]16997477.78[/C][C]17082334.6[/C][C]16997477.78[/C][C]17082334.6[/C][C]17082334.6[/C][C]16997477.78[/C][C]17082334.6[/C][C]17082334.6[/C][/ROW]
[ROW][C]0.52[/C][C]17170478.938[/C][C]17179026.4848[/C][C]17183629.01[/C][C]17183629.01[/C][C]17178368.9812[/C][C]17167191.42[/C][C]17171793.9452[/C][C]17183629.01[/C][/ROW]
[ROW][C]0.54[/C][C]17281560.734[/C][C]17413768.5614[/C][C]17428458.32[/C][C]17428458.32[/C][C]17394182.2166[/C][C]17183629.01[/C][C]17198318.7686[/C][C]17428458.32[/C][/ROW]
[ROW][C]0.56[/C][C]17463901.73[/C][C]17495152.3836[/C][C]17487530.67[/C][C]17487530.67[/C][C]17489436.0984[/C][C]17487530.67[/C][C]17527544.6664[/C][C]17487530.67[/C][/ROW]
[ROW][C]0.58[/C][C]17525639.238[/C][C]17590647.805[/C][C]17535166.38[/C][C]17535166.38[/C][C]17567287.205[/C][C]17535166.38[/C][C]17625688.705[/C][C]17535166.38[/C][/ROW]
[ROW][C]0.6[/C][C]17681170.13[/C][C]17874737.042[/C][C]17681170.13[/C][C]17842475.89[/C][C]17810214.738[/C][C]17681170.13[/C][C]17810214.738[/C][C]18003781.65[/C][/ROW]
[ROW][C]0.62[/C][C]18032518.056[/C][C]18121600.9146[/C][C]18147463.68[/C][C]18147463.68[/C][C]18087117.2274[/C][C]18003781.65[/C][C]18029644.4154[/C][C]18147463.68[/C][/ROW]
[ROW][C]0.64[/C][C]18158105.584[/C][C]18180290.1176[/C][C]18174068.44[/C][C]18174068.44[/C][C]18167683.2976[/C][C]18147463.68[/C][C]18323388.7024[/C][C]18174068.44[/C][/ROW]
[ROW][C]0.66[/C][C]18267393.604[/C][C]18333522.7222[/C][C]18329610.38[/C][C]18329610.38[/C][C]18320277.8636[/C][C]18329610.38[/C][C]18340745.5078[/C][C]18329610.38[/C][/ROW]
[ROW][C]0.68[/C][C]18341648.356[/C][C]18358943.97[/C][C]18344657.85[/C][C]18344657.85[/C][C]18348229.38[/C][C]18344657.85[/C][C]18360134.48[/C][C]18344657.85[/C][/ROW]
[ROW][C]0.7[/C][C]18374420.6[/C][C]18396912.741[/C][C]18374420.6[/C][C]18390486.415[/C][C]18384060.089[/C][C]18374420.6[/C][C]18384060.089[/C][C]18406552.23[/C][/ROW]
[ROW][C]0.72[/C][C]18418533.668[/C][C]18461666.8448[/C][C]18466459.42[/C][C]18466459.42[/C][C]18435307.6812[/C][C]18406552.23[/C][C]18411344.8052[/C][C]18466459.42[/C][/ROW]
[ROW][C]0.74[/C][C]18578600.96[/C][C]18769501.0876[/C][C]18746813.27[/C][C]18746813.27[/C][C]18651492.961[/C][C]18466459.42[/C][C]18886181.2924[/C][C]18746813.27[/C][/ROW]
[ROW][C]0.76[/C][C]18844046.774[/C][C]18926274.4224[/C][C]18908869.11[/C][C]18908869.11[/C][C]18882940.1756[/C][C]18908869.11[/C][C]18939811.8876[/C][C]18908869.11[/C][/ROW]
[ROW][C]0.78[/C][C]18947547.582[/C][C]18987514.3062[/C][C]18957217.2[/C][C]18957217.2[/C][C]18958261.9278[/C][C]18957217.2[/C][C]18979156.4838[/C][C]19009453.59[/C][/ROW]
[ROW][C]0.8[/C][C]19009453.59[/C][C]19170833.558[/C][C]19009453.59[/C][C]19110316.07[/C][C]19049798.582[/C][C]19009453.59[/C][C]19049798.582[/C][C]19211178.55[/C][/ROW]
[ROW][C]0.82[/C][C]19229230.982[/C][C]19301926.9764[/C][C]19301440.71[/C][C]19301440.71[/C][C]19245478.1708[/C][C]19211178.55[/C][C]19325267.7636[/C][C]19301440.71[/C][/ROW]
[ROW][C]0.84[/C][C]19311166.038[/C][C]19380575.3916[/C][C]19325754.03[/C][C]19325754.03[/C][C]19315056.1692[/C][C]19301440.71[/C][C]19499355.0084[/C][C]19325754.03[/C][/ROW]
[ROW][C]0.86[/C][C]19462807.434[/C][C]19589049.5358[/C][C]19554176.37[/C][C]19554176.37[/C][C]19494786.5616[/C][C]19554176.37[/C][C]19595114.4342[/C][C]19554176.37[/C][/ROW]
[ROW][C]0.88[/C][C]19614825.354[/C][C]19685452.2556[/C][C]19629987.6[/C][C]19629987.6[/C][C]19623922.7016[/C][C]19629987.6[/C][C]19656088.6144[/C][C]19711553.27[/C][/ROW]
[ROW][C]0.9[/C][C]19711553.27[/C][C]19844143.412[/C][C]19711553.27[/C][C]19785214.46[/C][C]19726285.508[/C][C]19711553.27[/C][C]19726285.508[/C][C]19858875.65[/C][/ROW]
[ROW][C]0.92[/C][C]19898483.532[/C][C]20093260.4392[/C][C]20056915.06[/C][C]20056915.06[/C][C]19914326.6848[/C][C]19858875.65[/C][C]20323447.8408[/C][C]20056915.06[/C][/ROW]
[ROW][C]0.94[/C][C]20178066.324[/C][C]20412628.7882[/C][C]20359793.22[/C][C]20359793.22[/C][C]20196239.0136[/C][C]20056915.06[/C][C]20462356.3818[/C][C]20359793.22[/C][/ROW]
[ROW][C]0.96[/C][C]20453032.458[/C][C]20533370.558[/C][C]20515191.95[/C][C]20515191.95[/C][C]20459248.4072[/C][C]20515191.95[/C][C]20529475.142[/C][C]20547653.75[/C][/ROW]
[ROW][C]0.98[/C][C]20541161.39[/C][C]20592807.0374[/C][C]20547653.75[/C][C]20547653.75[/C][C]20541810.626[/C][C]20547653.75[/C][C]20560389.2926[/C][C]20605542.58[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103667&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103667&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	12771606.38	12796517.224	13768040.14	13768040.14	13770135.583	12522497.94	13494020.856	12522497.94
0.04	13772696.68	13773162.334	13779681.49	13779681.49	13807017.9568	13768040.14	13774559.296	13768040.14
0.06	13825242.268	13829798.3458	13855616.12	13855616.12	14100085.1036	13855616.12	13805499.2642	13855616.12
0.08	14217792.392	14254010.0192	14308336.46	14308336.46	14363164.1288	14308336.46	13909942.5608	14308336.46
0.1	14384486	14388412.953	14384486	14404120.765	14419828.577	14384486	14419828.577	14384486
0.12	14485770.058	14522978.7748	14733828.17	14733828.17	14743277.8524	14423755.53	14634604.9252	14423755.53
0.14	14781076.582	14797613.5262	14851949.2	14851949.2	14932029.7018	14733828.17	14788163.8438	14851949.2
0.16	15036750.358	15086030.6668	15159951.13	15159951.13	15217446.0664	15159951.13	14925869.6632	15159951.13
0.18	15264487.378	15288008.0338	15290621.44	15290621.44	15506356.1812	15290621.44	15162564.5362	15290621.44
0.2	15638580.7	15648134.348	15638580.7	15662464.82	15676795.292	15638580.7	15676795.292	15638580.7
0.22	15687507.986	15688782.9366	15692144.17	15692144.17	15692028.2654	15686348.94	15689710.1734	15686348.94
0.24	15738023.434	15765550.9924	15806842.33	15806842.33	15822349.53	15692144.17	15733435.5076	15806842.33
0.26	15864994.33	15890193.53	15903762.33	15903762.33	15938905.0462	15903762.33	15820411.13	15903762.33
0.28	15986451.074	16007875.3672	16007123.26	16007123.26	16012011.9568	16007123.26	16015772.4928	16007123.26
0.3	16016524.6	16029304.195	16016524.6	16037823.925	16046343.655	16016524.6	16046343.655	16016524.6
0.32	16075588.544	16101933.0144	16141449.72	16141449.72	16131570.5436	16059123.25	16098639.9556	16141449.72
0.34	16160623.26	16176920.769	16189383.57	16189383.57	16189595.109	16141449.72	16153912.521	16189383.57
0.36	16191498.96	16192768.194	16192909.22	16192909.22	16194156.4784	16192909.22	16189524.596	16192909.22
0.38	16197066.748	16198247.7072	16198106.13	16198106.13	16198436.4768	16198106.13	16198751.0928	16198106.13
0.4	16198892.67	16223628.97	16198892.67	16229813.045	16235997.12	16198892.67	16235997.12	16198892.67
0.42	16302892.642	16391427.0082	16471529.53	16471529.53	16425154.3858	16260733.42	16340835.9418	16471529.53
0.44	16504612.89	16541004.586	16554237.93	16554237.93	16550929.594	16471529.53	16484762.874	16554237.93
0.46	16564758.132	16595658.1892	16571771.6	16571771.6	16627506.9748	16571771.6	16945994.8308	16571771.6
0.48	16890259.456	16977608.4008	16969881.42	16969881.42	16978712.2552	16969881.42	16989750.7992	16969881.42
0.5	16997477.78	17082334.6	16997477.78	17082334.6	17082334.6	16997477.78	17082334.6	17082334.6
0.52	17170478.938	17179026.4848	17183629.01	17183629.01	17178368.9812	17167191.42	17171793.9452	17183629.01
0.54	17281560.734	17413768.5614	17428458.32	17428458.32	17394182.2166	17183629.01	17198318.7686	17428458.32
0.56	17463901.73	17495152.3836	17487530.67	17487530.67	17489436.0984	17487530.67	17527544.6664	17487530.67
0.58	17525639.238	17590647.805	17535166.38	17535166.38	17567287.205	17535166.38	17625688.705	17535166.38
0.6	17681170.13	17874737.042	17681170.13	17842475.89	17810214.738	17681170.13	17810214.738	18003781.65
0.62	18032518.056	18121600.9146	18147463.68	18147463.68	18087117.2274	18003781.65	18029644.4154	18147463.68
0.64	18158105.584	18180290.1176	18174068.44	18174068.44	18167683.2976	18147463.68	18323388.7024	18174068.44
0.66	18267393.604	18333522.7222	18329610.38	18329610.38	18320277.8636	18329610.38	18340745.5078	18329610.38
0.68	18341648.356	18358943.97	18344657.85	18344657.85	18348229.38	18344657.85	18360134.48	18344657.85
0.7	18374420.6	18396912.741	18374420.6	18390486.415	18384060.089	18374420.6	18384060.089	18406552.23
0.72	18418533.668	18461666.8448	18466459.42	18466459.42	18435307.6812	18406552.23	18411344.8052	18466459.42
0.74	18578600.96	18769501.0876	18746813.27	18746813.27	18651492.961	18466459.42	18886181.2924	18746813.27
0.76	18844046.774	18926274.4224	18908869.11	18908869.11	18882940.1756	18908869.11	18939811.8876	18908869.11
0.78	18947547.582	18987514.3062	18957217.2	18957217.2	18958261.9278	18957217.2	18979156.4838	19009453.59
0.8	19009453.59	19170833.558	19009453.59	19110316.07	19049798.582	19009453.59	19049798.582	19211178.55
0.82	19229230.982	19301926.9764	19301440.71	19301440.71	19245478.1708	19211178.55	19325267.7636	19301440.71
0.84	19311166.038	19380575.3916	19325754.03	19325754.03	19315056.1692	19301440.71	19499355.0084	19325754.03
0.86	19462807.434	19589049.5358	19554176.37	19554176.37	19494786.5616	19554176.37	19595114.4342	19554176.37
0.88	19614825.354	19685452.2556	19629987.6	19629987.6	19623922.7016	19629987.6	19656088.6144	19711553.27
0.9	19711553.27	19844143.412	19711553.27	19785214.46	19726285.508	19711553.27	19726285.508	19858875.65
0.92	19898483.532	20093260.4392	20056915.06	20056915.06	19914326.6848	19858875.65	20323447.8408	20056915.06
0.94	20178066.324	20412628.7882	20359793.22	20359793.22	20196239.0136	20056915.06	20462356.3818	20359793.22
0.96	20453032.458	20533370.558	20515191.95	20515191.95	20459248.4072	20515191.95	20529475.142	20547653.75
0.98	20541161.39	20592807.0374	20547653.75	20547653.75	20541810.626	20547653.75	20560389.2926	20605542.58

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