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R Software Module

rwasp_percentiles.wasp

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Percentiles

Date of computation

Mon, 05 Dec 2011 18:10:28 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/05/t1323126639ivsrxmmzhq7lien.htm/, Retrieved Fri, 03 May 2024 04:37:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151329, Retrieved Fri, 03 May 2024 04:37:25 +0000

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Estimated Impact

103

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

-     [Univariate Data Series] [web traffic] [2010-10-19 15:13:07] [b98453cac15ba1066b407e146608df68]
- RMP   [Variance Reduction Matrix] [Traffic] [2010-11-29 09:57:15] [b98453cac15ba1066b407e146608df68]
- RMP     [ARIMA Backward Selection] [Traffic] [2010-11-29 20:05:46] [b98453cac15ba1066b407e146608df68]
-   PD      [ARIMA Backward Selection] [] [2011-12-05 15:44:21] [d623f9be707a26b8ffaece1fc4d5a7ee]
- RMPD          [Percentiles] [] [2011-12-05 23:10:28] [4cf172296f32adf71d8383c359dbb80f] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151329&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151329&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151329&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	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Percentiles - Ungrouped Data
p	Weighted Average at Xnp	Weighted Average at X(n+1)p	Empirical Distribution Function	Empirical Distribution Function - Averaging	Empirical Distribution Function - Interpolation	Closest Observation	True Basic - Statistics Graphics Toolkit	MS Excel (old versions)
0.01	0	0	0	0	0	0	0	0
0.02	0.28	0.3	1	1	26.22	0	0.7	0
0.03	90.24	93.15	98	98	191.45	98	5.85	98
0.04	344.12	354.2	455	455	722.28	455	303.8	455
0.05	2215	2526.5	7199	7199	8322.35	969	5641.5	969
0.06	13489.76	13939.1	14688	14688	16918.02	14688	7947.9	14688
0.07	19230.36	19475.85	21054	21054	21826.44	17547	19125.15	21054
0.08	23088	23188	24188	24188	24477.04	22938	23938	22938
0.09	29679.76	30330.1	31414	31414	32590.52	31414	25271.9	31414
0.1	35187.6	35692	38214	38214	39735.9	33170	35692	35692
0.11	43421.92	43792.95	46660	46660	46423.89	43287	46154.05	43287
0.12	50798.48	51528.8	52746	52746	57848.16	52746	47877.2	52746
0.13	62872.04	63284.4	65029	65029	66651.03	61857	63601.6	61857
0.14	73224.52	74089.4	73566	73566	77857.88	73566	78276.6	73566
0.15	80091.8	80414.75	80953	80953	82708	80953	79338.25	80953
0.16	84870.28	84881.8	84925	84925	84966.12	84853	84896.2	84853
0.17	85377.32	85928.4	85439	85439	92388.48	85439	94737.6	85439
0.18	97431.28	98194.3	99466	99466	99902.56	99466	96498.7	99466
0.19	100805.52	100871.45	101097	101097	101086.59	100750	100975.55	100750
0.2	109961.8	112178	112178	112178	112514.6	112178	112178	112178
0.21	113589.96	113996.1	114673	114673	116008.15	112739	113415.9	114673
0.22	120518.32	120629.2	120982	120982	120911.44	120478	120830.8	120478
0.23	122272.24	122684.4	122774	122774	123328.19	122774	121071.6	122774
0.24	125577.92	126693.2	128552	128552	128558.12	123905	125763.8	128552
0.25	128603	128614.5	128603	128626	128637.5	128603	128637.5	128603
0.26	129066.28	129235.8	129301	129301	129788.92	129301	128714.2	129301
0.27	130720.52	130851.2	131069	131069	131083.18	130585	130802.8	131069
0.28	132373.56	132578.2	132487	132487	132778.84	132487	132851.8	132487
0.29	135624.28	137012.8	137731	137731	137957.53	137731	133661.2	137731
0.3	138619.2	138693	138816	138816	138791.4	138570	138693	138693
0.31	139969.32	140648.15	140189	140189	141811.33	140189	142790.85	140189
0.32	144469.2	145282	145790	145790	146136.88	143250	143758	145790
0.33	148029.4	148225.75	148553	148553	148428.05	147958	148285.25	147958
0.34	148906.4	149022.3	149018	149018	149036.06	149018	149056.7	149018
0.35	150161	151123.5	151811	151811	151842.95	149061	149748.5	151811
0.36	152450.96	152459.6	152474	152474	152466.32	152450	152464.4	152450
0.37	153467.48	153956.65	153935	153935	154069.23	153935	154346.35	153935
0.38	154686.4	155064.5	155363	155363	155303.3	154368	154666.5	155363
0.39	155757.56	156142.9	155774	155774	156374.78	155774	156459.1	155774
0.4	157410.6	157799	157799	157799	157829	157799	157799	157799
0.41	157964.84	157991.9	158015	158015	158003.78	157949	157972.1	158015
0.42	158592.28	159899.2	158671	158671	160554.24	158671	161536.8	158671
0.43	164159.12	165311.95	165446	165446	165629.78	165446	162899.05	165446
0.44	167497.6	167524	167548	167548	167531.2	167488	167512	167548
0.45	168053.6	168337.25	168180	168180	168400.15	168180	168651.75	168180
0.46	169712.76	170657.6	170863	170863	170821.92	168809	169014.4	170863
0.47	171718.04	172147.15	172558	172558	172201.93	171645	172055.85	172558
0.48	173063.44	173491	173260	173260	173537.2	173260	174184	173260
0.49	175092.52	176014.7	176297	176297	176052.34	174415	174697.3	176297
0.5	176537	177711.5	176537	177711.5	177711.5	176537	177711.5	177711.5
0.51	180184.56	181106.55	180915	180915	181081.01	180915	182000.45	180915
0.52	182465	182972	183167	183167	182933	182192	182387	183167
0.53	184123.8	184275.85	184207	184207	184266.67	184207	184291.15	184207
0.54	184454.08	184572.1	184528	184528	184536.82	184528	184924.9	184528
0.55	184991.6	185053.75	185082	185082	185042.45	184969	184997.25	185082
0.56	185317.2	186270	185362	185362	185997.6	185362	186724	185362
0.57	187655.52	187758.8	187681	187681	187676.59	187632	189159.2	187681
0.58	189926.04	193256.4	194979	194979	192337.68	189237	190959.6	194979
0.59	196175.24	197926.05	196553	196553	197219.91	196553	199102.95	196553
0.6	200490	200511	200511	200511	200504	200476	200511	200511
0.61	201751.68	202326.3	202656	202656	202119.06	201714	202043.7	202656
0.62	207405.8	210145.3	209641	209641	209741.86	209641	210817.7	209641
0.63	211466.96	211752.35	211775	211775	211634.57	211322	211344.65	211775
0.64	212958.68	213609.8	213008	213008	213328.96	213008	213409.2	214011
0.65	214527.6	215064.25	214872	214872	214828.95	214872	215448.75	214872
0.66	215970.76	216877.6	217015	217015	216437.92	215641	215778.4	217015
0.67	219700.76	220137.4	220067	220067	220093.88	220067	220124.6	220195
0.68	220592.28	221438.2	220959	220959	220836.76	220959	222875.8	220959
0.69	223399.32	223590.45	223632	223632	223485.19	223355	223396.55	223632
0.7	226572.8	227957	227308	227308	227437.8	227308	227957	227308
0.71	229559.04	230976.9	230772	230772	230187.18	228606	231933.1	230772
0.72	232152.32	232281.2	232317	232317	232202.44	232138	232173.8	232317
0.73	233002.44	234588.85	233269	233269	233259.48	233269	234882.15	233269
0.74	236870.88	238085.5	238060	238060	237353.96	236202	238289.5	238060
0.75	238315	241229.5	238315	240258	239286.5	238315	239286.5	242201
0.76	245889.32	248008	247964	247964	247272.44	247964	248030	247964
0.77	248149.04	248386.75	248342	248342	248210.68	248074	249192.25	248342
0.78	249165.4	250716.8	249237	249237	249532.96	249237	249871.2	251351
0.79	251840.44	252569.75	252225	252225	252023.98	252225	252865.25	252225
0.8	253450.2	254411	254411	254411	253690.4	253210	254411	254411
0.81	255374.48	255779.65	255558	255558	255568.23	255558	255677.35	255899
0.82	255989.24	257881.9	256087	256087	256023.08	255899	260275.1	256087
0.83	262862.72	268345.7	268676	268676	263985.74	262070	262400.3	268676
0.84	269329.6	269607.4	269536	269536	269467.2	269536	269583.6	269655
0.85	272053	275702.75	275650	275650	272952.25	269655	275808.25	275650
0.86	275999.12	278968.7	279314	279314	276482.54	275861	276206.3	279314
0.87	285018.52	288732.6	287703	287703	286109.09	287703	288545.4	289575
0.88	289686.68	290106.8	289924	289924	289728.56	289575	290655.2	289924
0.89	290801.44	293025.9	290838	290838	291018.18	290838	291224.1	293412
0.9	296675.4	306591.5	298851	298851	297219.3	298851	306591.5	306591.5
0.91	314585.68	315689.75	315389	315389	314680.81	314332	317093.25	315389
0.92	317153.4	319150	317394	317394	317313.8	317394	317833	319589
0.93	322104.76	326605	324427	324427	322443.42	324427	327089	324427
0.94	329504.92	330843.6	330754	330754	329594.14	329267	331560.4	330754
0.95	331470.8	331812	331650	331650	331515.6	331650	331704	331866
0.96	335798.28	345384.6	340803	340803	336155.76	331866	347675.4	340803
0.97	352301.96	353406.3	352819	352819	352318.82	352257	363977.7	352819
0.98	361276.12	365913.9	364565	364565	361511.04	364565	365143.1	366492
0.99	367094.64	374244.8	368166	368166	367111.38	366492	379455.2	368166

\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
0.01 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
0.02 & 0.28 & 0.3 & 1 & 1 & 26.22 & 0 & 0.7 & 0 \tabularnewline
0.03 & 90.24 & 93.15 & 98 & 98 & 191.45 & 98 & 5.85 & 98 \tabularnewline
0.04 & 344.12 & 354.2 & 455 & 455 & 722.28 & 455 & 303.8 & 455 \tabularnewline
0.05 & 2215 & 2526.5 & 7199 & 7199 & 8322.35 & 969 & 5641.5 & 969 \tabularnewline
0.06 & 13489.76 & 13939.1 & 14688 & 14688 & 16918.02 & 14688 & 7947.9 & 14688 \tabularnewline
0.07 & 19230.36 & 19475.85 & 21054 & 21054 & 21826.44 & 17547 & 19125.15 & 21054 \tabularnewline
0.08 & 23088 & 23188 & 24188 & 24188 & 24477.04 & 22938 & 23938 & 22938 \tabularnewline
0.09 & 29679.76 & 30330.1 & 31414 & 31414 & 32590.52 & 31414 & 25271.9 & 31414 \tabularnewline
0.1 & 35187.6 & 35692 & 38214 & 38214 & 39735.9 & 33170 & 35692 & 35692 \tabularnewline
0.11 & 43421.92 & 43792.95 & 46660 & 46660 & 46423.89 & 43287 & 46154.05 & 43287 \tabularnewline
0.12 & 50798.48 & 51528.8 & 52746 & 52746 & 57848.16 & 52746 & 47877.2 & 52746 \tabularnewline
0.13 & 62872.04 & 63284.4 & 65029 & 65029 & 66651.03 & 61857 & 63601.6 & 61857 \tabularnewline
0.14 & 73224.52 & 74089.4 & 73566 & 73566 & 77857.88 & 73566 & 78276.6 & 73566 \tabularnewline
0.15 & 80091.8 & 80414.75 & 80953 & 80953 & 82708 & 80953 & 79338.25 & 80953 \tabularnewline
0.16 & 84870.28 & 84881.8 & 84925 & 84925 & 84966.12 & 84853 & 84896.2 & 84853 \tabularnewline
0.17 & 85377.32 & 85928.4 & 85439 & 85439 & 92388.48 & 85439 & 94737.6 & 85439 \tabularnewline
0.18 & 97431.28 & 98194.3 & 99466 & 99466 & 99902.56 & 99466 & 96498.7 & 99466 \tabularnewline
0.19 & 100805.52 & 100871.45 & 101097 & 101097 & 101086.59 & 100750 & 100975.55 & 100750 \tabularnewline
0.2 & 109961.8 & 112178 & 112178 & 112178 & 112514.6 & 112178 & 112178 & 112178 \tabularnewline
0.21 & 113589.96 & 113996.1 & 114673 & 114673 & 116008.15 & 112739 & 113415.9 & 114673 \tabularnewline
0.22 & 120518.32 & 120629.2 & 120982 & 120982 & 120911.44 & 120478 & 120830.8 & 120478 \tabularnewline
0.23 & 122272.24 & 122684.4 & 122774 & 122774 & 123328.19 & 122774 & 121071.6 & 122774 \tabularnewline
0.24 & 125577.92 & 126693.2 & 128552 & 128552 & 128558.12 & 123905 & 125763.8 & 128552 \tabularnewline
0.25 & 128603 & 128614.5 & 128603 & 128626 & 128637.5 & 128603 & 128637.5 & 128603 \tabularnewline
0.26 & 129066.28 & 129235.8 & 129301 & 129301 & 129788.92 & 129301 & 128714.2 & 129301 \tabularnewline
0.27 & 130720.52 & 130851.2 & 131069 & 131069 & 131083.18 & 130585 & 130802.8 & 131069 \tabularnewline
0.28 & 132373.56 & 132578.2 & 132487 & 132487 & 132778.84 & 132487 & 132851.8 & 132487 \tabularnewline
0.29 & 135624.28 & 137012.8 & 137731 & 137731 & 137957.53 & 137731 & 133661.2 & 137731 \tabularnewline
0.3 & 138619.2 & 138693 & 138816 & 138816 & 138791.4 & 138570 & 138693 & 138693 \tabularnewline
0.31 & 139969.32 & 140648.15 & 140189 & 140189 & 141811.33 & 140189 & 142790.85 & 140189 \tabularnewline
0.32 & 144469.2 & 145282 & 145790 & 145790 & 146136.88 & 143250 & 143758 & 145790 \tabularnewline
0.33 & 148029.4 & 148225.75 & 148553 & 148553 & 148428.05 & 147958 & 148285.25 & 147958 \tabularnewline
0.34 & 148906.4 & 149022.3 & 149018 & 149018 & 149036.06 & 149018 & 149056.7 & 149018 \tabularnewline
0.35 & 150161 & 151123.5 & 151811 & 151811 & 151842.95 & 149061 & 149748.5 & 151811 \tabularnewline
0.36 & 152450.96 & 152459.6 & 152474 & 152474 & 152466.32 & 152450 & 152464.4 & 152450 \tabularnewline
0.37 & 153467.48 & 153956.65 & 153935 & 153935 & 154069.23 & 153935 & 154346.35 & 153935 \tabularnewline
0.38 & 154686.4 & 155064.5 & 155363 & 155363 & 155303.3 & 154368 & 154666.5 & 155363 \tabularnewline
0.39 & 155757.56 & 156142.9 & 155774 & 155774 & 156374.78 & 155774 & 156459.1 & 155774 \tabularnewline
0.4 & 157410.6 & 157799 & 157799 & 157799 & 157829 & 157799 & 157799 & 157799 \tabularnewline
0.41 & 157964.84 & 157991.9 & 158015 & 158015 & 158003.78 & 157949 & 157972.1 & 158015 \tabularnewline
0.42 & 158592.28 & 159899.2 & 158671 & 158671 & 160554.24 & 158671 & 161536.8 & 158671 \tabularnewline
0.43 & 164159.12 & 165311.95 & 165446 & 165446 & 165629.78 & 165446 & 162899.05 & 165446 \tabularnewline
0.44 & 167497.6 & 167524 & 167548 & 167548 & 167531.2 & 167488 & 167512 & 167548 \tabularnewline
0.45 & 168053.6 & 168337.25 & 168180 & 168180 & 168400.15 & 168180 & 168651.75 & 168180 \tabularnewline
0.46 & 169712.76 & 170657.6 & 170863 & 170863 & 170821.92 & 168809 & 169014.4 & 170863 \tabularnewline
0.47 & 171718.04 & 172147.15 & 172558 & 172558 & 172201.93 & 171645 & 172055.85 & 172558 \tabularnewline
0.48 & 173063.44 & 173491 & 173260 & 173260 & 173537.2 & 173260 & 174184 & 173260 \tabularnewline
0.49 & 175092.52 & 176014.7 & 176297 & 176297 & 176052.34 & 174415 & 174697.3 & 176297 \tabularnewline
0.5 & 176537 & 177711.5 & 176537 & 177711.5 & 177711.5 & 176537 & 177711.5 & 177711.5 \tabularnewline
0.51 & 180184.56 & 181106.55 & 180915 & 180915 & 181081.01 & 180915 & 182000.45 & 180915 \tabularnewline
0.52 & 182465 & 182972 & 183167 & 183167 & 182933 & 182192 & 182387 & 183167 \tabularnewline
0.53 & 184123.8 & 184275.85 & 184207 & 184207 & 184266.67 & 184207 & 184291.15 & 184207 \tabularnewline
0.54 & 184454.08 & 184572.1 & 184528 & 184528 & 184536.82 & 184528 & 184924.9 & 184528 \tabularnewline
0.55 & 184991.6 & 185053.75 & 185082 & 185082 & 185042.45 & 184969 & 184997.25 & 185082 \tabularnewline
0.56 & 185317.2 & 186270 & 185362 & 185362 & 185997.6 & 185362 & 186724 & 185362 \tabularnewline
0.57 & 187655.52 & 187758.8 & 187681 & 187681 & 187676.59 & 187632 & 189159.2 & 187681 \tabularnewline
0.58 & 189926.04 & 193256.4 & 194979 & 194979 & 192337.68 & 189237 & 190959.6 & 194979 \tabularnewline
0.59 & 196175.24 & 197926.05 & 196553 & 196553 & 197219.91 & 196553 & 199102.95 & 196553 \tabularnewline
0.6 & 200490 & 200511 & 200511 & 200511 & 200504 & 200476 & 200511 & 200511 \tabularnewline
0.61 & 201751.68 & 202326.3 & 202656 & 202656 & 202119.06 & 201714 & 202043.7 & 202656 \tabularnewline
0.62 & 207405.8 & 210145.3 & 209641 & 209641 & 209741.86 & 209641 & 210817.7 & 209641 \tabularnewline
0.63 & 211466.96 & 211752.35 & 211775 & 211775 & 211634.57 & 211322 & 211344.65 & 211775 \tabularnewline
0.64 & 212958.68 & 213609.8 & 213008 & 213008 & 213328.96 & 213008 & 213409.2 & 214011 \tabularnewline
0.65 & 214527.6 & 215064.25 & 214872 & 214872 & 214828.95 & 214872 & 215448.75 & 214872 \tabularnewline
0.66 & 215970.76 & 216877.6 & 217015 & 217015 & 216437.92 & 215641 & 215778.4 & 217015 \tabularnewline
0.67 & 219700.76 & 220137.4 & 220067 & 220067 & 220093.88 & 220067 & 220124.6 & 220195 \tabularnewline
0.68 & 220592.28 & 221438.2 & 220959 & 220959 & 220836.76 & 220959 & 222875.8 & 220959 \tabularnewline
0.69 & 223399.32 & 223590.45 & 223632 & 223632 & 223485.19 & 223355 & 223396.55 & 223632 \tabularnewline
0.7 & 226572.8 & 227957 & 227308 & 227308 & 227437.8 & 227308 & 227957 & 227308 \tabularnewline
0.71 & 229559.04 & 230976.9 & 230772 & 230772 & 230187.18 & 228606 & 231933.1 & 230772 \tabularnewline
0.72 & 232152.32 & 232281.2 & 232317 & 232317 & 232202.44 & 232138 & 232173.8 & 232317 \tabularnewline
0.73 & 233002.44 & 234588.85 & 233269 & 233269 & 233259.48 & 233269 & 234882.15 & 233269 \tabularnewline
0.74 & 236870.88 & 238085.5 & 238060 & 238060 & 237353.96 & 236202 & 238289.5 & 238060 \tabularnewline
0.75 & 238315 & 241229.5 & 238315 & 240258 & 239286.5 & 238315 & 239286.5 & 242201 \tabularnewline
0.76 & 245889.32 & 248008 & 247964 & 247964 & 247272.44 & 247964 & 248030 & 247964 \tabularnewline
0.77 & 248149.04 & 248386.75 & 248342 & 248342 & 248210.68 & 248074 & 249192.25 & 248342 \tabularnewline
0.78 & 249165.4 & 250716.8 & 249237 & 249237 & 249532.96 & 249237 & 249871.2 & 251351 \tabularnewline
0.79 & 251840.44 & 252569.75 & 252225 & 252225 & 252023.98 & 252225 & 252865.25 & 252225 \tabularnewline
0.8 & 253450.2 & 254411 & 254411 & 254411 & 253690.4 & 253210 & 254411 & 254411 \tabularnewline
0.81 & 255374.48 & 255779.65 & 255558 & 255558 & 255568.23 & 255558 & 255677.35 & 255899 \tabularnewline
0.82 & 255989.24 & 257881.9 & 256087 & 256087 & 256023.08 & 255899 & 260275.1 & 256087 \tabularnewline
0.83 & 262862.72 & 268345.7 & 268676 & 268676 & 263985.74 & 262070 & 262400.3 & 268676 \tabularnewline
0.84 & 269329.6 & 269607.4 & 269536 & 269536 & 269467.2 & 269536 & 269583.6 & 269655 \tabularnewline
0.85 & 272053 & 275702.75 & 275650 & 275650 & 272952.25 & 269655 & 275808.25 & 275650 \tabularnewline
0.86 & 275999.12 & 278968.7 & 279314 & 279314 & 276482.54 & 275861 & 276206.3 & 279314 \tabularnewline
0.87 & 285018.52 & 288732.6 & 287703 & 287703 & 286109.09 & 287703 & 288545.4 & 289575 \tabularnewline
0.88 & 289686.68 & 290106.8 & 289924 & 289924 & 289728.56 & 289575 & 290655.2 & 289924 \tabularnewline
0.89 & 290801.44 & 293025.9 & 290838 & 290838 & 291018.18 & 290838 & 291224.1 & 293412 \tabularnewline
0.9 & 296675.4 & 306591.5 & 298851 & 298851 & 297219.3 & 298851 & 306591.5 & 306591.5 \tabularnewline
0.91 & 314585.68 & 315689.75 & 315389 & 315389 & 314680.81 & 314332 & 317093.25 & 315389 \tabularnewline
0.92 & 317153.4 & 319150 & 317394 & 317394 & 317313.8 & 317394 & 317833 & 319589 \tabularnewline
0.93 & 322104.76 & 326605 & 324427 & 324427 & 322443.42 & 324427 & 327089 & 324427 \tabularnewline
0.94 & 329504.92 & 330843.6 & 330754 & 330754 & 329594.14 & 329267 & 331560.4 & 330754 \tabularnewline
0.95 & 331470.8 & 331812 & 331650 & 331650 & 331515.6 & 331650 & 331704 & 331866 \tabularnewline
0.96 & 335798.28 & 345384.6 & 340803 & 340803 & 336155.76 & 331866 & 347675.4 & 340803 \tabularnewline
0.97 & 352301.96 & 353406.3 & 352819 & 352819 & 352318.82 & 352257 & 363977.7 & 352819 \tabularnewline
0.98 & 361276.12 & 365913.9 & 364565 & 364565 & 361511.04 & 364565 & 365143.1 & 366492 \tabularnewline
0.99 & 367094.64 & 374244.8 & 368166 & 368166 & 367111.38 & 366492 & 379455.2 & 368166 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151329&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]0.01[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.02[/C][C]0.28[/C][C]0.3[/C][C]1[/C][C]1[/C][C]26.22[/C][C]0[/C][C]0.7[/C][C]0[/C][/ROW]
[ROW][C]0.03[/C][C]90.24[/C][C]93.15[/C][C]98[/C][C]98[/C][C]191.45[/C][C]98[/C][C]5.85[/C][C]98[/C][/ROW]
[ROW][C]0.04[/C][C]344.12[/C][C]354.2[/C][C]455[/C][C]455[/C][C]722.28[/C][C]455[/C][C]303.8[/C][C]455[/C][/ROW]
[ROW][C]0.05[/C][C]2215[/C][C]2526.5[/C][C]7199[/C][C]7199[/C][C]8322.35[/C][C]969[/C][C]5641.5[/C][C]969[/C][/ROW]
[ROW][C]0.06[/C][C]13489.76[/C][C]13939.1[/C][C]14688[/C][C]14688[/C][C]16918.02[/C][C]14688[/C][C]7947.9[/C][C]14688[/C][/ROW]
[ROW][C]0.07[/C][C]19230.36[/C][C]19475.85[/C][C]21054[/C][C]21054[/C][C]21826.44[/C][C]17547[/C][C]19125.15[/C][C]21054[/C][/ROW]
[ROW][C]0.08[/C][C]23088[/C][C]23188[/C][C]24188[/C][C]24188[/C][C]24477.04[/C][C]22938[/C][C]23938[/C][C]22938[/C][/ROW]
[ROW][C]0.09[/C][C]29679.76[/C][C]30330.1[/C][C]31414[/C][C]31414[/C][C]32590.52[/C][C]31414[/C][C]25271.9[/C][C]31414[/C][/ROW]
[ROW][C]0.1[/C][C]35187.6[/C][C]35692[/C][C]38214[/C][C]38214[/C][C]39735.9[/C][C]33170[/C][C]35692[/C][C]35692[/C][/ROW]
[ROW][C]0.11[/C][C]43421.92[/C][C]43792.95[/C][C]46660[/C][C]46660[/C][C]46423.89[/C][C]43287[/C][C]46154.05[/C][C]43287[/C][/ROW]
[ROW][C]0.12[/C][C]50798.48[/C][C]51528.8[/C][C]52746[/C][C]52746[/C][C]57848.16[/C][C]52746[/C][C]47877.2[/C][C]52746[/C][/ROW]
[ROW][C]0.13[/C][C]62872.04[/C][C]63284.4[/C][C]65029[/C][C]65029[/C][C]66651.03[/C][C]61857[/C][C]63601.6[/C][C]61857[/C][/ROW]
[ROW][C]0.14[/C][C]73224.52[/C][C]74089.4[/C][C]73566[/C][C]73566[/C][C]77857.88[/C][C]73566[/C][C]78276.6[/C][C]73566[/C][/ROW]
[ROW][C]0.15[/C][C]80091.8[/C][C]80414.75[/C][C]80953[/C][C]80953[/C][C]82708[/C][C]80953[/C][C]79338.25[/C][C]80953[/C][/ROW]
[ROW][C]0.16[/C][C]84870.28[/C][C]84881.8[/C][C]84925[/C][C]84925[/C][C]84966.12[/C][C]84853[/C][C]84896.2[/C][C]84853[/C][/ROW]
[ROW][C]0.17[/C][C]85377.32[/C][C]85928.4[/C][C]85439[/C][C]85439[/C][C]92388.48[/C][C]85439[/C][C]94737.6[/C][C]85439[/C][/ROW]
[ROW][C]0.18[/C][C]97431.28[/C][C]98194.3[/C][C]99466[/C][C]99466[/C][C]99902.56[/C][C]99466[/C][C]96498.7[/C][C]99466[/C][/ROW]
[ROW][C]0.19[/C][C]100805.52[/C][C]100871.45[/C][C]101097[/C][C]101097[/C][C]101086.59[/C][C]100750[/C][C]100975.55[/C][C]100750[/C][/ROW]
[ROW][C]0.2[/C][C]109961.8[/C][C]112178[/C][C]112178[/C][C]112178[/C][C]112514.6[/C][C]112178[/C][C]112178[/C][C]112178[/C][/ROW]
[ROW][C]0.21[/C][C]113589.96[/C][C]113996.1[/C][C]114673[/C][C]114673[/C][C]116008.15[/C][C]112739[/C][C]113415.9[/C][C]114673[/C][/ROW]
[ROW][C]0.22[/C][C]120518.32[/C][C]120629.2[/C][C]120982[/C][C]120982[/C][C]120911.44[/C][C]120478[/C][C]120830.8[/C][C]120478[/C][/ROW]
[ROW][C]0.23[/C][C]122272.24[/C][C]122684.4[/C][C]122774[/C][C]122774[/C][C]123328.19[/C][C]122774[/C][C]121071.6[/C][C]122774[/C][/ROW]
[ROW][C]0.24[/C][C]125577.92[/C][C]126693.2[/C][C]128552[/C][C]128552[/C][C]128558.12[/C][C]123905[/C][C]125763.8[/C][C]128552[/C][/ROW]
[ROW][C]0.25[/C][C]128603[/C][C]128614.5[/C][C]128603[/C][C]128626[/C][C]128637.5[/C][C]128603[/C][C]128637.5[/C][C]128603[/C][/ROW]
[ROW][C]0.26[/C][C]129066.28[/C][C]129235.8[/C][C]129301[/C][C]129301[/C][C]129788.92[/C][C]129301[/C][C]128714.2[/C][C]129301[/C][/ROW]
[ROW][C]0.27[/C][C]130720.52[/C][C]130851.2[/C][C]131069[/C][C]131069[/C][C]131083.18[/C][C]130585[/C][C]130802.8[/C][C]131069[/C][/ROW]
[ROW][C]0.28[/C][C]132373.56[/C][C]132578.2[/C][C]132487[/C][C]132487[/C][C]132778.84[/C][C]132487[/C][C]132851.8[/C][C]132487[/C][/ROW]
[ROW][C]0.29[/C][C]135624.28[/C][C]137012.8[/C][C]137731[/C][C]137731[/C][C]137957.53[/C][C]137731[/C][C]133661.2[/C][C]137731[/C][/ROW]
[ROW][C]0.3[/C][C]138619.2[/C][C]138693[/C][C]138816[/C][C]138816[/C][C]138791.4[/C][C]138570[/C][C]138693[/C][C]138693[/C][/ROW]
[ROW][C]0.31[/C][C]139969.32[/C][C]140648.15[/C][C]140189[/C][C]140189[/C][C]141811.33[/C][C]140189[/C][C]142790.85[/C][C]140189[/C][/ROW]
[ROW][C]0.32[/C][C]144469.2[/C][C]145282[/C][C]145790[/C][C]145790[/C][C]146136.88[/C][C]143250[/C][C]143758[/C][C]145790[/C][/ROW]
[ROW][C]0.33[/C][C]148029.4[/C][C]148225.75[/C][C]148553[/C][C]148553[/C][C]148428.05[/C][C]147958[/C][C]148285.25[/C][C]147958[/C][/ROW]
[ROW][C]0.34[/C][C]148906.4[/C][C]149022.3[/C][C]149018[/C][C]149018[/C][C]149036.06[/C][C]149018[/C][C]149056.7[/C][C]149018[/C][/ROW]
[ROW][C]0.35[/C][C]150161[/C][C]151123.5[/C][C]151811[/C][C]151811[/C][C]151842.95[/C][C]149061[/C][C]149748.5[/C][C]151811[/C][/ROW]
[ROW][C]0.36[/C][C]152450.96[/C][C]152459.6[/C][C]152474[/C][C]152474[/C][C]152466.32[/C][C]152450[/C][C]152464.4[/C][C]152450[/C][/ROW]
[ROW][C]0.37[/C][C]153467.48[/C][C]153956.65[/C][C]153935[/C][C]153935[/C][C]154069.23[/C][C]153935[/C][C]154346.35[/C][C]153935[/C][/ROW]
[ROW][C]0.38[/C][C]154686.4[/C][C]155064.5[/C][C]155363[/C][C]155363[/C][C]155303.3[/C][C]154368[/C][C]154666.5[/C][C]155363[/C][/ROW]
[ROW][C]0.39[/C][C]155757.56[/C][C]156142.9[/C][C]155774[/C][C]155774[/C][C]156374.78[/C][C]155774[/C][C]156459.1[/C][C]155774[/C][/ROW]
[ROW][C]0.4[/C][C]157410.6[/C][C]157799[/C][C]157799[/C][C]157799[/C][C]157829[/C][C]157799[/C][C]157799[/C][C]157799[/C][/ROW]
[ROW][C]0.41[/C][C]157964.84[/C][C]157991.9[/C][C]158015[/C][C]158015[/C][C]158003.78[/C][C]157949[/C][C]157972.1[/C][C]158015[/C][/ROW]
[ROW][C]0.42[/C][C]158592.28[/C][C]159899.2[/C][C]158671[/C][C]158671[/C][C]160554.24[/C][C]158671[/C][C]161536.8[/C][C]158671[/C][/ROW]
[ROW][C]0.43[/C][C]164159.12[/C][C]165311.95[/C][C]165446[/C][C]165446[/C][C]165629.78[/C][C]165446[/C][C]162899.05[/C][C]165446[/C][/ROW]
[ROW][C]0.44[/C][C]167497.6[/C][C]167524[/C][C]167548[/C][C]167548[/C][C]167531.2[/C][C]167488[/C][C]167512[/C][C]167548[/C][/ROW]
[ROW][C]0.45[/C][C]168053.6[/C][C]168337.25[/C][C]168180[/C][C]168180[/C][C]168400.15[/C][C]168180[/C][C]168651.75[/C][C]168180[/C][/ROW]
[ROW][C]0.46[/C][C]169712.76[/C][C]170657.6[/C][C]170863[/C][C]170863[/C][C]170821.92[/C][C]168809[/C][C]169014.4[/C][C]170863[/C][/ROW]
[ROW][C]0.47[/C][C]171718.04[/C][C]172147.15[/C][C]172558[/C][C]172558[/C][C]172201.93[/C][C]171645[/C][C]172055.85[/C][C]172558[/C][/ROW]
[ROW][C]0.48[/C][C]173063.44[/C][C]173491[/C][C]173260[/C][C]173260[/C][C]173537.2[/C][C]173260[/C][C]174184[/C][C]173260[/C][/ROW]
[ROW][C]0.49[/C][C]175092.52[/C][C]176014.7[/C][C]176297[/C][C]176297[/C][C]176052.34[/C][C]174415[/C][C]174697.3[/C][C]176297[/C][/ROW]
[ROW][C]0.5[/C][C]176537[/C][C]177711.5[/C][C]176537[/C][C]177711.5[/C][C]177711.5[/C][C]176537[/C][C]177711.5[/C][C]177711.5[/C][/ROW]
[ROW][C]0.51[/C][C]180184.56[/C][C]181106.55[/C][C]180915[/C][C]180915[/C][C]181081.01[/C][C]180915[/C][C]182000.45[/C][C]180915[/C][/ROW]
[ROW][C]0.52[/C][C]182465[/C][C]182972[/C][C]183167[/C][C]183167[/C][C]182933[/C][C]182192[/C][C]182387[/C][C]183167[/C][/ROW]
[ROW][C]0.53[/C][C]184123.8[/C][C]184275.85[/C][C]184207[/C][C]184207[/C][C]184266.67[/C][C]184207[/C][C]184291.15[/C][C]184207[/C][/ROW]
[ROW][C]0.54[/C][C]184454.08[/C][C]184572.1[/C][C]184528[/C][C]184528[/C][C]184536.82[/C][C]184528[/C][C]184924.9[/C][C]184528[/C][/ROW]
[ROW][C]0.55[/C][C]184991.6[/C][C]185053.75[/C][C]185082[/C][C]185082[/C][C]185042.45[/C][C]184969[/C][C]184997.25[/C][C]185082[/C][/ROW]
[ROW][C]0.56[/C][C]185317.2[/C][C]186270[/C][C]185362[/C][C]185362[/C][C]185997.6[/C][C]185362[/C][C]186724[/C][C]185362[/C][/ROW]
[ROW][C]0.57[/C][C]187655.52[/C][C]187758.8[/C][C]187681[/C][C]187681[/C][C]187676.59[/C][C]187632[/C][C]189159.2[/C][C]187681[/C][/ROW]
[ROW][C]0.58[/C][C]189926.04[/C][C]193256.4[/C][C]194979[/C][C]194979[/C][C]192337.68[/C][C]189237[/C][C]190959.6[/C][C]194979[/C][/ROW]
[ROW][C]0.59[/C][C]196175.24[/C][C]197926.05[/C][C]196553[/C][C]196553[/C][C]197219.91[/C][C]196553[/C][C]199102.95[/C][C]196553[/C][/ROW]
[ROW][C]0.6[/C][C]200490[/C][C]200511[/C][C]200511[/C][C]200511[/C][C]200504[/C][C]200476[/C][C]200511[/C][C]200511[/C][/ROW]
[ROW][C]0.61[/C][C]201751.68[/C][C]202326.3[/C][C]202656[/C][C]202656[/C][C]202119.06[/C][C]201714[/C][C]202043.7[/C][C]202656[/C][/ROW]
[ROW][C]0.62[/C][C]207405.8[/C][C]210145.3[/C][C]209641[/C][C]209641[/C][C]209741.86[/C][C]209641[/C][C]210817.7[/C][C]209641[/C][/ROW]
[ROW][C]0.63[/C][C]211466.96[/C][C]211752.35[/C][C]211775[/C][C]211775[/C][C]211634.57[/C][C]211322[/C][C]211344.65[/C][C]211775[/C][/ROW]
[ROW][C]0.64[/C][C]212958.68[/C][C]213609.8[/C][C]213008[/C][C]213008[/C][C]213328.96[/C][C]213008[/C][C]213409.2[/C][C]214011[/C][/ROW]
[ROW][C]0.65[/C][C]214527.6[/C][C]215064.25[/C][C]214872[/C][C]214872[/C][C]214828.95[/C][C]214872[/C][C]215448.75[/C][C]214872[/C][/ROW]
[ROW][C]0.66[/C][C]215970.76[/C][C]216877.6[/C][C]217015[/C][C]217015[/C][C]216437.92[/C][C]215641[/C][C]215778.4[/C][C]217015[/C][/ROW]
[ROW][C]0.67[/C][C]219700.76[/C][C]220137.4[/C][C]220067[/C][C]220067[/C][C]220093.88[/C][C]220067[/C][C]220124.6[/C][C]220195[/C][/ROW]
[ROW][C]0.68[/C][C]220592.28[/C][C]221438.2[/C][C]220959[/C][C]220959[/C][C]220836.76[/C][C]220959[/C][C]222875.8[/C][C]220959[/C][/ROW]
[ROW][C]0.69[/C][C]223399.32[/C][C]223590.45[/C][C]223632[/C][C]223632[/C][C]223485.19[/C][C]223355[/C][C]223396.55[/C][C]223632[/C][/ROW]
[ROW][C]0.7[/C][C]226572.8[/C][C]227957[/C][C]227308[/C][C]227308[/C][C]227437.8[/C][C]227308[/C][C]227957[/C][C]227308[/C][/ROW]
[ROW][C]0.71[/C][C]229559.04[/C][C]230976.9[/C][C]230772[/C][C]230772[/C][C]230187.18[/C][C]228606[/C][C]231933.1[/C][C]230772[/C][/ROW]
[ROW][C]0.72[/C][C]232152.32[/C][C]232281.2[/C][C]232317[/C][C]232317[/C][C]232202.44[/C][C]232138[/C][C]232173.8[/C][C]232317[/C][/ROW]
[ROW][C]0.73[/C][C]233002.44[/C][C]234588.85[/C][C]233269[/C][C]233269[/C][C]233259.48[/C][C]233269[/C][C]234882.15[/C][C]233269[/C][/ROW]
[ROW][C]0.74[/C][C]236870.88[/C][C]238085.5[/C][C]238060[/C][C]238060[/C][C]237353.96[/C][C]236202[/C][C]238289.5[/C][C]238060[/C][/ROW]
[ROW][C]0.75[/C][C]238315[/C][C]241229.5[/C][C]238315[/C][C]240258[/C][C]239286.5[/C][C]238315[/C][C]239286.5[/C][C]242201[/C][/ROW]
[ROW][C]0.76[/C][C]245889.32[/C][C]248008[/C][C]247964[/C][C]247964[/C][C]247272.44[/C][C]247964[/C][C]248030[/C][C]247964[/C][/ROW]
[ROW][C]0.77[/C][C]248149.04[/C][C]248386.75[/C][C]248342[/C][C]248342[/C][C]248210.68[/C][C]248074[/C][C]249192.25[/C][C]248342[/C][/ROW]
[ROW][C]0.78[/C][C]249165.4[/C][C]250716.8[/C][C]249237[/C][C]249237[/C][C]249532.96[/C][C]249237[/C][C]249871.2[/C][C]251351[/C][/ROW]
[ROW][C]0.79[/C][C]251840.44[/C][C]252569.75[/C][C]252225[/C][C]252225[/C][C]252023.98[/C][C]252225[/C][C]252865.25[/C][C]252225[/C][/ROW]
[ROW][C]0.8[/C][C]253450.2[/C][C]254411[/C][C]254411[/C][C]254411[/C][C]253690.4[/C][C]253210[/C][C]254411[/C][C]254411[/C][/ROW]
[ROW][C]0.81[/C][C]255374.48[/C][C]255779.65[/C][C]255558[/C][C]255558[/C][C]255568.23[/C][C]255558[/C][C]255677.35[/C][C]255899[/C][/ROW]
[ROW][C]0.82[/C][C]255989.24[/C][C]257881.9[/C][C]256087[/C][C]256087[/C][C]256023.08[/C][C]255899[/C][C]260275.1[/C][C]256087[/C][/ROW]
[ROW][C]0.83[/C][C]262862.72[/C][C]268345.7[/C][C]268676[/C][C]268676[/C][C]263985.74[/C][C]262070[/C][C]262400.3[/C][C]268676[/C][/ROW]
[ROW][C]0.84[/C][C]269329.6[/C][C]269607.4[/C][C]269536[/C][C]269536[/C][C]269467.2[/C][C]269536[/C][C]269583.6[/C][C]269655[/C][/ROW]
[ROW][C]0.85[/C][C]272053[/C][C]275702.75[/C][C]275650[/C][C]275650[/C][C]272952.25[/C][C]269655[/C][C]275808.25[/C][C]275650[/C][/ROW]
[ROW][C]0.86[/C][C]275999.12[/C][C]278968.7[/C][C]279314[/C][C]279314[/C][C]276482.54[/C][C]275861[/C][C]276206.3[/C][C]279314[/C][/ROW]
[ROW][C]0.87[/C][C]285018.52[/C][C]288732.6[/C][C]287703[/C][C]287703[/C][C]286109.09[/C][C]287703[/C][C]288545.4[/C][C]289575[/C][/ROW]
[ROW][C]0.88[/C][C]289686.68[/C][C]290106.8[/C][C]289924[/C][C]289924[/C][C]289728.56[/C][C]289575[/C][C]290655.2[/C][C]289924[/C][/ROW]
[ROW][C]0.89[/C][C]290801.44[/C][C]293025.9[/C][C]290838[/C][C]290838[/C][C]291018.18[/C][C]290838[/C][C]291224.1[/C][C]293412[/C][/ROW]
[ROW][C]0.9[/C][C]296675.4[/C][C]306591.5[/C][C]298851[/C][C]298851[/C][C]297219.3[/C][C]298851[/C][C]306591.5[/C][C]306591.5[/C][/ROW]
[ROW][C]0.91[/C][C]314585.68[/C][C]315689.75[/C][C]315389[/C][C]315389[/C][C]314680.81[/C][C]314332[/C][C]317093.25[/C][C]315389[/C][/ROW]
[ROW][C]0.92[/C][C]317153.4[/C][C]319150[/C][C]317394[/C][C]317394[/C][C]317313.8[/C][C]317394[/C][C]317833[/C][C]319589[/C][/ROW]
[ROW][C]0.93[/C][C]322104.76[/C][C]326605[/C][C]324427[/C][C]324427[/C][C]322443.42[/C][C]324427[/C][C]327089[/C][C]324427[/C][/ROW]
[ROW][C]0.94[/C][C]329504.92[/C][C]330843.6[/C][C]330754[/C][C]330754[/C][C]329594.14[/C][C]329267[/C][C]331560.4[/C][C]330754[/C][/ROW]
[ROW][C]0.95[/C][C]331470.8[/C][C]331812[/C][C]331650[/C][C]331650[/C][C]331515.6[/C][C]331650[/C][C]331704[/C][C]331866[/C][/ROW]
[ROW][C]0.96[/C][C]335798.28[/C][C]345384.6[/C][C]340803[/C][C]340803[/C][C]336155.76[/C][C]331866[/C][C]347675.4[/C][C]340803[/C][/ROW]
[ROW][C]0.97[/C][C]352301.96[/C][C]353406.3[/C][C]352819[/C][C]352819[/C][C]352318.82[/C][C]352257[/C][C]363977.7[/C][C]352819[/C][/ROW]
[ROW][C]0.98[/C][C]361276.12[/C][C]365913.9[/C][C]364565[/C][C]364565[/C][C]361511.04[/C][C]364565[/C][C]365143.1[/C][C]366492[/C][/ROW]
[ROW][C]0.99[/C][C]367094.64[/C][C]374244.8[/C][C]368166[/C][C]368166[/C][C]367111.38[/C][C]366492[/C][C]379455.2[/C][C]368166[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151329&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151329&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)
0.01	0	0	0	0	0	0	0	0
0.02	0.28	0.3	1	1	26.22	0	0.7	0
0.03	90.24	93.15	98	98	191.45	98	5.85	98
0.04	344.12	354.2	455	455	722.28	455	303.8	455
0.05	2215	2526.5	7199	7199	8322.35	969	5641.5	969
0.06	13489.76	13939.1	14688	14688	16918.02	14688	7947.9	14688
0.07	19230.36	19475.85	21054	21054	21826.44	17547	19125.15	21054
0.08	23088	23188	24188	24188	24477.04	22938	23938	22938
0.09	29679.76	30330.1	31414	31414	32590.52	31414	25271.9	31414
0.1	35187.6	35692	38214	38214	39735.9	33170	35692	35692
0.11	43421.92	43792.95	46660	46660	46423.89	43287	46154.05	43287
0.12	50798.48	51528.8	52746	52746	57848.16	52746	47877.2	52746
0.13	62872.04	63284.4	65029	65029	66651.03	61857	63601.6	61857
0.14	73224.52	74089.4	73566	73566	77857.88	73566	78276.6	73566
0.15	80091.8	80414.75	80953	80953	82708	80953	79338.25	80953
0.16	84870.28	84881.8	84925	84925	84966.12	84853	84896.2	84853
0.17	85377.32	85928.4	85439	85439	92388.48	85439	94737.6	85439
0.18	97431.28	98194.3	99466	99466	99902.56	99466	96498.7	99466
0.19	100805.52	100871.45	101097	101097	101086.59	100750	100975.55	100750
0.2	109961.8	112178	112178	112178	112514.6	112178	112178	112178
0.21	113589.96	113996.1	114673	114673	116008.15	112739	113415.9	114673
0.22	120518.32	120629.2	120982	120982	120911.44	120478	120830.8	120478
0.23	122272.24	122684.4	122774	122774	123328.19	122774	121071.6	122774
0.24	125577.92	126693.2	128552	128552	128558.12	123905	125763.8	128552
0.25	128603	128614.5	128603	128626	128637.5	128603	128637.5	128603
0.26	129066.28	129235.8	129301	129301	129788.92	129301	128714.2	129301
0.27	130720.52	130851.2	131069	131069	131083.18	130585	130802.8	131069
0.28	132373.56	132578.2	132487	132487	132778.84	132487	132851.8	132487
0.29	135624.28	137012.8	137731	137731	137957.53	137731	133661.2	137731
0.3	138619.2	138693	138816	138816	138791.4	138570	138693	138693
0.31	139969.32	140648.15	140189	140189	141811.33	140189	142790.85	140189
0.32	144469.2	145282	145790	145790	146136.88	143250	143758	145790
0.33	148029.4	148225.75	148553	148553	148428.05	147958	148285.25	147958
0.34	148906.4	149022.3	149018	149018	149036.06	149018	149056.7	149018
0.35	150161	151123.5	151811	151811	151842.95	149061	149748.5	151811
0.36	152450.96	152459.6	152474	152474	152466.32	152450	152464.4	152450
0.37	153467.48	153956.65	153935	153935	154069.23	153935	154346.35	153935
0.38	154686.4	155064.5	155363	155363	155303.3	154368	154666.5	155363
0.39	155757.56	156142.9	155774	155774	156374.78	155774	156459.1	155774
0.4	157410.6	157799	157799	157799	157829	157799	157799	157799
0.41	157964.84	157991.9	158015	158015	158003.78	157949	157972.1	158015
0.42	158592.28	159899.2	158671	158671	160554.24	158671	161536.8	158671
0.43	164159.12	165311.95	165446	165446	165629.78	165446	162899.05	165446
0.44	167497.6	167524	167548	167548	167531.2	167488	167512	167548
0.45	168053.6	168337.25	168180	168180	168400.15	168180	168651.75	168180
0.46	169712.76	170657.6	170863	170863	170821.92	168809	169014.4	170863
0.47	171718.04	172147.15	172558	172558	172201.93	171645	172055.85	172558
0.48	173063.44	173491	173260	173260	173537.2	173260	174184	173260
0.49	175092.52	176014.7	176297	176297	176052.34	174415	174697.3	176297
0.5	176537	177711.5	176537	177711.5	177711.5	176537	177711.5	177711.5
0.51	180184.56	181106.55	180915	180915	181081.01	180915	182000.45	180915
0.52	182465	182972	183167	183167	182933	182192	182387	183167
0.53	184123.8	184275.85	184207	184207	184266.67	184207	184291.15	184207
0.54	184454.08	184572.1	184528	184528	184536.82	184528	184924.9	184528
0.55	184991.6	185053.75	185082	185082	185042.45	184969	184997.25	185082
0.56	185317.2	186270	185362	185362	185997.6	185362	186724	185362
0.57	187655.52	187758.8	187681	187681	187676.59	187632	189159.2	187681
0.58	189926.04	193256.4	194979	194979	192337.68	189237	190959.6	194979
0.59	196175.24	197926.05	196553	196553	197219.91	196553	199102.95	196553
0.6	200490	200511	200511	200511	200504	200476	200511	200511
0.61	201751.68	202326.3	202656	202656	202119.06	201714	202043.7	202656
0.62	207405.8	210145.3	209641	209641	209741.86	209641	210817.7	209641
0.63	211466.96	211752.35	211775	211775	211634.57	211322	211344.65	211775
0.64	212958.68	213609.8	213008	213008	213328.96	213008	213409.2	214011
0.65	214527.6	215064.25	214872	214872	214828.95	214872	215448.75	214872
0.66	215970.76	216877.6	217015	217015	216437.92	215641	215778.4	217015
0.67	219700.76	220137.4	220067	220067	220093.88	220067	220124.6	220195
0.68	220592.28	221438.2	220959	220959	220836.76	220959	222875.8	220959
0.69	223399.32	223590.45	223632	223632	223485.19	223355	223396.55	223632
0.7	226572.8	227957	227308	227308	227437.8	227308	227957	227308
0.71	229559.04	230976.9	230772	230772	230187.18	228606	231933.1	230772
0.72	232152.32	232281.2	232317	232317	232202.44	232138	232173.8	232317
0.73	233002.44	234588.85	233269	233269	233259.48	233269	234882.15	233269
0.74	236870.88	238085.5	238060	238060	237353.96	236202	238289.5	238060
0.75	238315	241229.5	238315	240258	239286.5	238315	239286.5	242201
0.76	245889.32	248008	247964	247964	247272.44	247964	248030	247964
0.77	248149.04	248386.75	248342	248342	248210.68	248074	249192.25	248342
0.78	249165.4	250716.8	249237	249237	249532.96	249237	249871.2	251351
0.79	251840.44	252569.75	252225	252225	252023.98	252225	252865.25	252225
0.8	253450.2	254411	254411	254411	253690.4	253210	254411	254411
0.81	255374.48	255779.65	255558	255558	255568.23	255558	255677.35	255899
0.82	255989.24	257881.9	256087	256087	256023.08	255899	260275.1	256087
0.83	262862.72	268345.7	268676	268676	263985.74	262070	262400.3	268676
0.84	269329.6	269607.4	269536	269536	269467.2	269536	269583.6	269655
0.85	272053	275702.75	275650	275650	272952.25	269655	275808.25	275650
0.86	275999.12	278968.7	279314	279314	276482.54	275861	276206.3	279314
0.87	285018.52	288732.6	287703	287703	286109.09	287703	288545.4	289575
0.88	289686.68	290106.8	289924	289924	289728.56	289575	290655.2	289924
0.89	290801.44	293025.9	290838	290838	291018.18	290838	291224.1	293412
0.9	296675.4	306591.5	298851	298851	297219.3	298851	306591.5	306591.5
0.91	314585.68	315689.75	315389	315389	314680.81	314332	317093.25	315389
0.92	317153.4	319150	317394	317394	317313.8	317394	317833	319589
0.93	322104.76	326605	324427	324427	322443.42	324427	327089	324427
0.94	329504.92	330843.6	330754	330754	329594.14	329267	331560.4	330754
0.95	331470.8	331812	331650	331650	331515.6	331650	331704	331866
0.96	335798.28	345384.6	340803	340803	336155.76	331866	347675.4	340803
0.97	352301.96	353406.3	352819	352819	352318.82	352257	363977.7	352819
0.98	361276.12	365913.9	364565	364565	361511.04	364565	365143.1	366492
0.99	367094.64	374244.8	368166	368166	367111.38	366492	379455.2	368166

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 1 ; par3 = 2 ; par4 = 1 ;

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