Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationTue, 22 Nov 2011 06:09:17 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/22/t13219602218pad3tekp1g5hdx.htm/, Retrieved Sat, 20 Apr 2024 00:49:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=146127, Retrieved Sat, 20 Apr 2024 00:49:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact81
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Percentiles] [Q-Q Plot uitbijters] [2011-11-22 11:09:17] [5959e8d69ed0f77745135d9c4c7e0d16] [Current]
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Dataseries X:
170588
86621
118522
152510
86206
37257
306055
32750
116502
130539
164604
128274
104367
193024
141574
254150
181110
198432
113853
159940
166822
286675
95297
108278
146342
145142
161756
162716
106888
188150
189401
129484
204030
68538
243625
167255
264528
122024
80964
209795
224205
115971
138191
81106
93125
307743
78800
158835
223590
131108
128734
24188
257677
65029
98066
173587
180042
197266
212060
141582
245107
206879
145696
173535
142064
117926
113461
145285
150999
91838
118807
69471
126630
145908
98393
190926
198797
106193
89318
120362
98791
283982
132798
135251
80953
109237
98724
226191
172071
117815
133561
152193
112004
169613
187483
130533
142339
199232
201744
247024
158054
182581
106351
43287
127493
127930
149006
187714
74112
94006
176625
141933
22938
125927
61857
91290
255100
21054
174150
31414
189461
137544
77166
74567
38214
90961
194652
135261
244272
201748
256402
139144
76470
193518
280334
50999
254825
103239
168059
129762
78256
249232
152366
173260
197197
68388
139409
185366
0
14688
98
455
0
0
137885
185288
0
203
7199
46660
17547
73567
969
105477




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=146127&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=146127&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=146127&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.0100000000
0.02000025.48000
0.0390.1693.19898191.45984.998
0.04344.12354.2455455722.28455303.8455
0.0522152526.5719971998322.359695641.5969
0.0613489.7613939.1146881468816918.02146887947.914688
0.0719230.3619475.85210542105421826.441754719125.1521054
0.082308823188241882418824477.04229382393822938
0.0929679.7630330.1314143141432309.123141425271.931414
0.134552.835003.5372573725737544.13275035003.535003.5
0.1138416.9238974.95432874328742931.893821442526.0538214
0.1245580.6445985.4466604666049089.844666043961.646660
0.1354473.5655885.1618576185762459.685099956970.950999
0.1464902.1265364.9650296502967783.386502968052.165029
0.156847868500.5685386853868957.856853868425.568538
0.1670454.0471109.4735677356773610.66947171928.669471
0.1774046.674134.75741127411274435.057411274544.2574112
0.1875556.5675899.1764707647076706.647647075137.976470
0.1977340.477547.5782567825678223.37716677874.577166
0.278691.278800788007880080091.8788007880078800
0.2180957.8480960.15809648096480996.668095380956.8580964
0.228151482636862068620685492811068467681106
0.2386504.886600.25866218662187942.538662186226.7586621
0.2489909.4890303.8909619096191000.488931889975.290961
0.259129091427912909156491701912909170191290
0.2692661.6892996.3931259312593459.789312591966.793125
0.2794367.4894716.05952979529795324.699400694586.9595297
0.2897844.4898131.4980669806698275.289806698327.698066
0.2998578.3698674.35987249872498742.099872498442.6598724
0.399680.6101015103239103239102794.298791101015101015
0.31104186.52104533.5104367104367104955.3104367105310.5104367
0.32105820.68106049.8106193106193106218.28105477105620.2106193
0.33106415.44106592.65106888106888106775.23106351106646.35106351
0.34107944.4108373.9108278108278108680.78108278109141.1108278
0.35110343.8111312.25112004112004112076.85109237109928.75112004
0.36113476.68113617.8113853113853113727.56113461113696.2113461
0.37115293.24115997.55115971115971116135.61115971116475.45115971
0.38116922.16117421.1117815117815117736.22116502116895.9117815
0.39117921.56118134.6117926117926118265.72117926118313.4117926
0.4118693118807118807118807119118118807118807118807
0.41120760.88121442.3122024122024121741.46120362120943.7122024
0.42125458.64126137.9125927125927126250.38125927126419.1125927
0.43127078.76127449.85127493127493127532.33127493126673.15127493
0.44127985.04128136.4128274128274128177.68127930128067.6128274
0.45128642128921.5128734128734128996.5128734129296.5128734
0.46129606.32129734.2129762129762129756.44129484129511.8129762
0.47130533.48130536.3130539130539130536.66130533130535.7130539
0.48130948.68131446131108131108131513.6131108132460131108
0.49133072.68133446.55133561133561133461.81132798132912.45133561
0.5135251135256135251135256135256135251135256135256
0.51136722.12137595.15137544137544137588.33137544137833.85137544
0.52137970.68138129.8138191138191138117.56137885137946.2138191
0.53139067.76139263.25139144139144139247.35139144139289.75139144
0.54140621.4141574.8141574141574141574.16141574141581.2141574
0.55141652.2141845.25141933141933141810.15141582141669.75141933
0.56142043.04142174142064142064142141142064142229142064
0.57143684.44145149.15145142145142144889.73142339145277.85145142
0.58145334.32145572.7145696145696145506.94145285145408.3145696
0.59145857.12146059.9145908145908145981.78145908146190.1145908
0.6147407.6149006149006149006148473.2146342149006149006
0.61151046.76151775.1152193152193151512.42150999151416.9152193
0.62152310.64152409.2152366152366152374.64152366152466.8152366
0.63154284.08157776.8158054158054156335.36152510152787.2158054
0.64158803.76159498158835158835159188.6158835159277159940
0.65161029.6161996161756161756161665.2161756162476161756
0.66163169.12164415.2164604164604163811.04162716162904.8164604
0.67166555.84167060.15166822166822166912.93166822167016.85167255
0.68167673.08168369.8168059168059167930.36168059169302.2168059
0.69169769170441.75170588170588170071.25169613169759.25170588
0.7171774.4172665.5172071172071172189.9172071172665.5172071
0.71173381173542.8173535173535173460.75173260173579.2173535
0.72173632.04174037.4174150174150173789.68173587173699.6174150
0.73175932178162.65176625176625176600.25176625178504.35176625
0.74180426.48181257.1181110181110180704.16180042182433.9181110
0.75182581184611.25182581183934.5183257.75182581183257.75185288
0.76185337.92186212.8185366185366185356.64185366186636.2185366
0.77187547.68187735.8187714187714187600.81187483188128.2187714
0.78188115.12189025.7188150188150188325.14188150188525.3189401
0.79189434.6189973.75189461189461189447.2189461190413.25189461
0.8191345.6193024193024193024191765.2190926193024193024
0.81193438.96194255.1193518193518193552.02193518193914.9194652
0.82195873.6197217.7197197197197196331.7194652197245.3197197
0.83197405.92198373.7198432198432197604.14197266197324.3198432
0.84198709.4199058198797198797198767.8198797198971199232
0.85200236.8201745201744201744200613.6199232201747201744
0.86201839.28203801.8204030204030202158.76201748201976.2204030
0.87205967.32208482.8206879206879206337.69206879208191.2209795
0.88210519.8214366212060212060210791.6209795221284212060
0.89223128.8224112.75223590223590223633.05223590223682.25224205
0.9225396.6234908226191226191225595.2226191234908234908
0.91243780.28244397.25244272244272243838.51243625244981.75244272
0.92245006.8246640.6245107245107245073.6245107245490.4247024
0.93248172.16251445.1249232249232248326.72249232251936.9249232
0.94254258254852.5254825254825254298.5254150255072.5254825
0.95255045256076.5255100255100255058.75255100255425.5256402
0.96256963260417.4257677257677257014256402261787.6257677
0.97265792.48280516.4280334280334266266.66264528283799.6280334
0.98282960.56285867.1283982283982283033.52283982284789.9286675
0.99293651.8306645.8306055306055293845.6286675307152.2306055

\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 & 0 & 0 & 0 & 25.48 & 0 & 0 & 0 \tabularnewline
0.03 & 90.16 & 93.1 & 98 & 98 & 191.45 & 98 & 4.9 & 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 & 32309.12 & 31414 & 25271.9 & 31414 \tabularnewline
0.1 & 34552.8 & 35003.5 & 37257 & 37257 & 37544.1 & 32750 & 35003.5 & 35003.5 \tabularnewline
0.11 & 38416.92 & 38974.95 & 43287 & 43287 & 42931.89 & 38214 & 42526.05 & 38214 \tabularnewline
0.12 & 45580.64 & 45985.4 & 46660 & 46660 & 49089.84 & 46660 & 43961.6 & 46660 \tabularnewline
0.13 & 54473.56 & 55885.1 & 61857 & 61857 & 62459.68 & 50999 & 56970.9 & 50999 \tabularnewline
0.14 & 64902.12 & 65364.9 & 65029 & 65029 & 67783.38 & 65029 & 68052.1 & 65029 \tabularnewline
0.15 & 68478 & 68500.5 & 68538 & 68538 & 68957.85 & 68538 & 68425.5 & 68538 \tabularnewline
0.16 & 70454.04 & 71109.4 & 73567 & 73567 & 73610.6 & 69471 & 71928.6 & 69471 \tabularnewline
0.17 & 74046.6 & 74134.75 & 74112 & 74112 & 74435.05 & 74112 & 74544.25 & 74112 \tabularnewline
0.18 & 75556.56 & 75899.1 & 76470 & 76470 & 76706.64 & 76470 & 75137.9 & 76470 \tabularnewline
0.19 & 77340.4 & 77547.5 & 78256 & 78256 & 78223.3 & 77166 & 77874.5 & 77166 \tabularnewline
0.2 & 78691.2 & 78800 & 78800 & 78800 & 80091.8 & 78800 & 78800 & 78800 \tabularnewline
0.21 & 80957.84 & 80960.15 & 80964 & 80964 & 80996.66 & 80953 & 80956.85 & 80964 \tabularnewline
0.22 & 81514 & 82636 & 86206 & 86206 & 85492 & 81106 & 84676 & 81106 \tabularnewline
0.23 & 86504.8 & 86600.25 & 86621 & 86621 & 87942.53 & 86621 & 86226.75 & 86621 \tabularnewline
0.24 & 89909.48 & 90303.8 & 90961 & 90961 & 91000.48 & 89318 & 89975.2 & 90961 \tabularnewline
0.25 & 91290 & 91427 & 91290 & 91564 & 91701 & 91290 & 91701 & 91290 \tabularnewline
0.26 & 92661.68 & 92996.3 & 93125 & 93125 & 93459.78 & 93125 & 91966.7 & 93125 \tabularnewline
0.27 & 94367.48 & 94716.05 & 95297 & 95297 & 95324.69 & 94006 & 94586.95 & 95297 \tabularnewline
0.28 & 97844.48 & 98131.4 & 98066 & 98066 & 98275.28 & 98066 & 98327.6 & 98066 \tabularnewline
0.29 & 98578.36 & 98674.35 & 98724 & 98724 & 98742.09 & 98724 & 98442.65 & 98724 \tabularnewline
0.3 & 99680.6 & 101015 & 103239 & 103239 & 102794.2 & 98791 & 101015 & 101015 \tabularnewline
0.31 & 104186.52 & 104533.5 & 104367 & 104367 & 104955.3 & 104367 & 105310.5 & 104367 \tabularnewline
0.32 & 105820.68 & 106049.8 & 106193 & 106193 & 106218.28 & 105477 & 105620.2 & 106193 \tabularnewline
0.33 & 106415.44 & 106592.65 & 106888 & 106888 & 106775.23 & 106351 & 106646.35 & 106351 \tabularnewline
0.34 & 107944.4 & 108373.9 & 108278 & 108278 & 108680.78 & 108278 & 109141.1 & 108278 \tabularnewline
0.35 & 110343.8 & 111312.25 & 112004 & 112004 & 112076.85 & 109237 & 109928.75 & 112004 \tabularnewline
0.36 & 113476.68 & 113617.8 & 113853 & 113853 & 113727.56 & 113461 & 113696.2 & 113461 \tabularnewline
0.37 & 115293.24 & 115997.55 & 115971 & 115971 & 116135.61 & 115971 & 116475.45 & 115971 \tabularnewline
0.38 & 116922.16 & 117421.1 & 117815 & 117815 & 117736.22 & 116502 & 116895.9 & 117815 \tabularnewline
0.39 & 117921.56 & 118134.6 & 117926 & 117926 & 118265.72 & 117926 & 118313.4 & 117926 \tabularnewline
0.4 & 118693 & 118807 & 118807 & 118807 & 119118 & 118807 & 118807 & 118807 \tabularnewline
0.41 & 120760.88 & 121442.3 & 122024 & 122024 & 121741.46 & 120362 & 120943.7 & 122024 \tabularnewline
0.42 & 125458.64 & 126137.9 & 125927 & 125927 & 126250.38 & 125927 & 126419.1 & 125927 \tabularnewline
0.43 & 127078.76 & 127449.85 & 127493 & 127493 & 127532.33 & 127493 & 126673.15 & 127493 \tabularnewline
0.44 & 127985.04 & 128136.4 & 128274 & 128274 & 128177.68 & 127930 & 128067.6 & 128274 \tabularnewline
0.45 & 128642 & 128921.5 & 128734 & 128734 & 128996.5 & 128734 & 129296.5 & 128734 \tabularnewline
0.46 & 129606.32 & 129734.2 & 129762 & 129762 & 129756.44 & 129484 & 129511.8 & 129762 \tabularnewline
0.47 & 130533.48 & 130536.3 & 130539 & 130539 & 130536.66 & 130533 & 130535.7 & 130539 \tabularnewline
0.48 & 130948.68 & 131446 & 131108 & 131108 & 131513.6 & 131108 & 132460 & 131108 \tabularnewline
0.49 & 133072.68 & 133446.55 & 133561 & 133561 & 133461.81 & 132798 & 132912.45 & 133561 \tabularnewline
0.5 & 135251 & 135256 & 135251 & 135256 & 135256 & 135251 & 135256 & 135256 \tabularnewline
0.51 & 136722.12 & 137595.15 & 137544 & 137544 & 137588.33 & 137544 & 137833.85 & 137544 \tabularnewline
0.52 & 137970.68 & 138129.8 & 138191 & 138191 & 138117.56 & 137885 & 137946.2 & 138191 \tabularnewline
0.53 & 139067.76 & 139263.25 & 139144 & 139144 & 139247.35 & 139144 & 139289.75 & 139144 \tabularnewline
0.54 & 140621.4 & 141574.8 & 141574 & 141574 & 141574.16 & 141574 & 141581.2 & 141574 \tabularnewline
0.55 & 141652.2 & 141845.25 & 141933 & 141933 & 141810.15 & 141582 & 141669.75 & 141933 \tabularnewline
0.56 & 142043.04 & 142174 & 142064 & 142064 & 142141 & 142064 & 142229 & 142064 \tabularnewline
0.57 & 143684.44 & 145149.15 & 145142 & 145142 & 144889.73 & 142339 & 145277.85 & 145142 \tabularnewline
0.58 & 145334.32 & 145572.7 & 145696 & 145696 & 145506.94 & 145285 & 145408.3 & 145696 \tabularnewline
0.59 & 145857.12 & 146059.9 & 145908 & 145908 & 145981.78 & 145908 & 146190.1 & 145908 \tabularnewline
0.6 & 147407.6 & 149006 & 149006 & 149006 & 148473.2 & 146342 & 149006 & 149006 \tabularnewline
0.61 & 151046.76 & 151775.1 & 152193 & 152193 & 151512.42 & 150999 & 151416.9 & 152193 \tabularnewline
0.62 & 152310.64 & 152409.2 & 152366 & 152366 & 152374.64 & 152366 & 152466.8 & 152366 \tabularnewline
0.63 & 154284.08 & 157776.8 & 158054 & 158054 & 156335.36 & 152510 & 152787.2 & 158054 \tabularnewline
0.64 & 158803.76 & 159498 & 158835 & 158835 & 159188.6 & 158835 & 159277 & 159940 \tabularnewline
0.65 & 161029.6 & 161996 & 161756 & 161756 & 161665.2 & 161756 & 162476 & 161756 \tabularnewline
0.66 & 163169.12 & 164415.2 & 164604 & 164604 & 163811.04 & 162716 & 162904.8 & 164604 \tabularnewline
0.67 & 166555.84 & 167060.15 & 166822 & 166822 & 166912.93 & 166822 & 167016.85 & 167255 \tabularnewline
0.68 & 167673.08 & 168369.8 & 168059 & 168059 & 167930.36 & 168059 & 169302.2 & 168059 \tabularnewline
0.69 & 169769 & 170441.75 & 170588 & 170588 & 170071.25 & 169613 & 169759.25 & 170588 \tabularnewline
0.7 & 171774.4 & 172665.5 & 172071 & 172071 & 172189.9 & 172071 & 172665.5 & 172071 \tabularnewline
0.71 & 173381 & 173542.8 & 173535 & 173535 & 173460.75 & 173260 & 173579.2 & 173535 \tabularnewline
0.72 & 173632.04 & 174037.4 & 174150 & 174150 & 173789.68 & 173587 & 173699.6 & 174150 \tabularnewline
0.73 & 175932 & 178162.65 & 176625 & 176625 & 176600.25 & 176625 & 178504.35 & 176625 \tabularnewline
0.74 & 180426.48 & 181257.1 & 181110 & 181110 & 180704.16 & 180042 & 182433.9 & 181110 \tabularnewline
0.75 & 182581 & 184611.25 & 182581 & 183934.5 & 183257.75 & 182581 & 183257.75 & 185288 \tabularnewline
0.76 & 185337.92 & 186212.8 & 185366 & 185366 & 185356.64 & 185366 & 186636.2 & 185366 \tabularnewline
0.77 & 187547.68 & 187735.8 & 187714 & 187714 & 187600.81 & 187483 & 188128.2 & 187714 \tabularnewline
0.78 & 188115.12 & 189025.7 & 188150 & 188150 & 188325.14 & 188150 & 188525.3 & 189401 \tabularnewline
0.79 & 189434.6 & 189973.75 & 189461 & 189461 & 189447.2 & 189461 & 190413.25 & 189461 \tabularnewline
0.8 & 191345.6 & 193024 & 193024 & 193024 & 191765.2 & 190926 & 193024 & 193024 \tabularnewline
0.81 & 193438.96 & 194255.1 & 193518 & 193518 & 193552.02 & 193518 & 193914.9 & 194652 \tabularnewline
0.82 & 195873.6 & 197217.7 & 197197 & 197197 & 196331.7 & 194652 & 197245.3 & 197197 \tabularnewline
0.83 & 197405.92 & 198373.7 & 198432 & 198432 & 197604.14 & 197266 & 197324.3 & 198432 \tabularnewline
0.84 & 198709.4 & 199058 & 198797 & 198797 & 198767.8 & 198797 & 198971 & 199232 \tabularnewline
0.85 & 200236.8 & 201745 & 201744 & 201744 & 200613.6 & 199232 & 201747 & 201744 \tabularnewline
0.86 & 201839.28 & 203801.8 & 204030 & 204030 & 202158.76 & 201748 & 201976.2 & 204030 \tabularnewline
0.87 & 205967.32 & 208482.8 & 206879 & 206879 & 206337.69 & 206879 & 208191.2 & 209795 \tabularnewline
0.88 & 210519.8 & 214366 & 212060 & 212060 & 210791.6 & 209795 & 221284 & 212060 \tabularnewline
0.89 & 223128.8 & 224112.75 & 223590 & 223590 & 223633.05 & 223590 & 223682.25 & 224205 \tabularnewline
0.9 & 225396.6 & 234908 & 226191 & 226191 & 225595.2 & 226191 & 234908 & 234908 \tabularnewline
0.91 & 243780.28 & 244397.25 & 244272 & 244272 & 243838.51 & 243625 & 244981.75 & 244272 \tabularnewline
0.92 & 245006.8 & 246640.6 & 245107 & 245107 & 245073.6 & 245107 & 245490.4 & 247024 \tabularnewline
0.93 & 248172.16 & 251445.1 & 249232 & 249232 & 248326.72 & 249232 & 251936.9 & 249232 \tabularnewline
0.94 & 254258 & 254852.5 & 254825 & 254825 & 254298.5 & 254150 & 255072.5 & 254825 \tabularnewline
0.95 & 255045 & 256076.5 & 255100 & 255100 & 255058.75 & 255100 & 255425.5 & 256402 \tabularnewline
0.96 & 256963 & 260417.4 & 257677 & 257677 & 257014 & 256402 & 261787.6 & 257677 \tabularnewline
0.97 & 265792.48 & 280516.4 & 280334 & 280334 & 266266.66 & 264528 & 283799.6 & 280334 \tabularnewline
0.98 & 282960.56 & 285867.1 & 283982 & 283982 & 283033.52 & 283982 & 284789.9 & 286675 \tabularnewline
0.99 & 293651.8 & 306645.8 & 306055 & 306055 & 293845.6 & 286675 & 307152.2 & 306055 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=146127&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[/C][C]0[/C][C]0[/C][C]0[/C][C]25.48[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.03[/C][C]90.16[/C][C]93.1[/C][C]98[/C][C]98[/C][C]191.45[/C][C]98[/C][C]4.9[/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]32309.12[/C][C]31414[/C][C]25271.9[/C][C]31414[/C][/ROW]
[ROW][C]0.1[/C][C]34552.8[/C][C]35003.5[/C][C]37257[/C][C]37257[/C][C]37544.1[/C][C]32750[/C][C]35003.5[/C][C]35003.5[/C][/ROW]
[ROW][C]0.11[/C][C]38416.92[/C][C]38974.95[/C][C]43287[/C][C]43287[/C][C]42931.89[/C][C]38214[/C][C]42526.05[/C][C]38214[/C][/ROW]
[ROW][C]0.12[/C][C]45580.64[/C][C]45985.4[/C][C]46660[/C][C]46660[/C][C]49089.84[/C][C]46660[/C][C]43961.6[/C][C]46660[/C][/ROW]
[ROW][C]0.13[/C][C]54473.56[/C][C]55885.1[/C][C]61857[/C][C]61857[/C][C]62459.68[/C][C]50999[/C][C]56970.9[/C][C]50999[/C][/ROW]
[ROW][C]0.14[/C][C]64902.12[/C][C]65364.9[/C][C]65029[/C][C]65029[/C][C]67783.38[/C][C]65029[/C][C]68052.1[/C][C]65029[/C][/ROW]
[ROW][C]0.15[/C][C]68478[/C][C]68500.5[/C][C]68538[/C][C]68538[/C][C]68957.85[/C][C]68538[/C][C]68425.5[/C][C]68538[/C][/ROW]
[ROW][C]0.16[/C][C]70454.04[/C][C]71109.4[/C][C]73567[/C][C]73567[/C][C]73610.6[/C][C]69471[/C][C]71928.6[/C][C]69471[/C][/ROW]
[ROW][C]0.17[/C][C]74046.6[/C][C]74134.75[/C][C]74112[/C][C]74112[/C][C]74435.05[/C][C]74112[/C][C]74544.25[/C][C]74112[/C][/ROW]
[ROW][C]0.18[/C][C]75556.56[/C][C]75899.1[/C][C]76470[/C][C]76470[/C][C]76706.64[/C][C]76470[/C][C]75137.9[/C][C]76470[/C][/ROW]
[ROW][C]0.19[/C][C]77340.4[/C][C]77547.5[/C][C]78256[/C][C]78256[/C][C]78223.3[/C][C]77166[/C][C]77874.5[/C][C]77166[/C][/ROW]
[ROW][C]0.2[/C][C]78691.2[/C][C]78800[/C][C]78800[/C][C]78800[/C][C]80091.8[/C][C]78800[/C][C]78800[/C][C]78800[/C][/ROW]
[ROW][C]0.21[/C][C]80957.84[/C][C]80960.15[/C][C]80964[/C][C]80964[/C][C]80996.66[/C][C]80953[/C][C]80956.85[/C][C]80964[/C][/ROW]
[ROW][C]0.22[/C][C]81514[/C][C]82636[/C][C]86206[/C][C]86206[/C][C]85492[/C][C]81106[/C][C]84676[/C][C]81106[/C][/ROW]
[ROW][C]0.23[/C][C]86504.8[/C][C]86600.25[/C][C]86621[/C][C]86621[/C][C]87942.53[/C][C]86621[/C][C]86226.75[/C][C]86621[/C][/ROW]
[ROW][C]0.24[/C][C]89909.48[/C][C]90303.8[/C][C]90961[/C][C]90961[/C][C]91000.48[/C][C]89318[/C][C]89975.2[/C][C]90961[/C][/ROW]
[ROW][C]0.25[/C][C]91290[/C][C]91427[/C][C]91290[/C][C]91564[/C][C]91701[/C][C]91290[/C][C]91701[/C][C]91290[/C][/ROW]
[ROW][C]0.26[/C][C]92661.68[/C][C]92996.3[/C][C]93125[/C][C]93125[/C][C]93459.78[/C][C]93125[/C][C]91966.7[/C][C]93125[/C][/ROW]
[ROW][C]0.27[/C][C]94367.48[/C][C]94716.05[/C][C]95297[/C][C]95297[/C][C]95324.69[/C][C]94006[/C][C]94586.95[/C][C]95297[/C][/ROW]
[ROW][C]0.28[/C][C]97844.48[/C][C]98131.4[/C][C]98066[/C][C]98066[/C][C]98275.28[/C][C]98066[/C][C]98327.6[/C][C]98066[/C][/ROW]
[ROW][C]0.29[/C][C]98578.36[/C][C]98674.35[/C][C]98724[/C][C]98724[/C][C]98742.09[/C][C]98724[/C][C]98442.65[/C][C]98724[/C][/ROW]
[ROW][C]0.3[/C][C]99680.6[/C][C]101015[/C][C]103239[/C][C]103239[/C][C]102794.2[/C][C]98791[/C][C]101015[/C][C]101015[/C][/ROW]
[ROW][C]0.31[/C][C]104186.52[/C][C]104533.5[/C][C]104367[/C][C]104367[/C][C]104955.3[/C][C]104367[/C][C]105310.5[/C][C]104367[/C][/ROW]
[ROW][C]0.32[/C][C]105820.68[/C][C]106049.8[/C][C]106193[/C][C]106193[/C][C]106218.28[/C][C]105477[/C][C]105620.2[/C][C]106193[/C][/ROW]
[ROW][C]0.33[/C][C]106415.44[/C][C]106592.65[/C][C]106888[/C][C]106888[/C][C]106775.23[/C][C]106351[/C][C]106646.35[/C][C]106351[/C][/ROW]
[ROW][C]0.34[/C][C]107944.4[/C][C]108373.9[/C][C]108278[/C][C]108278[/C][C]108680.78[/C][C]108278[/C][C]109141.1[/C][C]108278[/C][/ROW]
[ROW][C]0.35[/C][C]110343.8[/C][C]111312.25[/C][C]112004[/C][C]112004[/C][C]112076.85[/C][C]109237[/C][C]109928.75[/C][C]112004[/C][/ROW]
[ROW][C]0.36[/C][C]113476.68[/C][C]113617.8[/C][C]113853[/C][C]113853[/C][C]113727.56[/C][C]113461[/C][C]113696.2[/C][C]113461[/C][/ROW]
[ROW][C]0.37[/C][C]115293.24[/C][C]115997.55[/C][C]115971[/C][C]115971[/C][C]116135.61[/C][C]115971[/C][C]116475.45[/C][C]115971[/C][/ROW]
[ROW][C]0.38[/C][C]116922.16[/C][C]117421.1[/C][C]117815[/C][C]117815[/C][C]117736.22[/C][C]116502[/C][C]116895.9[/C][C]117815[/C][/ROW]
[ROW][C]0.39[/C][C]117921.56[/C][C]118134.6[/C][C]117926[/C][C]117926[/C][C]118265.72[/C][C]117926[/C][C]118313.4[/C][C]117926[/C][/ROW]
[ROW][C]0.4[/C][C]118693[/C][C]118807[/C][C]118807[/C][C]118807[/C][C]119118[/C][C]118807[/C][C]118807[/C][C]118807[/C][/ROW]
[ROW][C]0.41[/C][C]120760.88[/C][C]121442.3[/C][C]122024[/C][C]122024[/C][C]121741.46[/C][C]120362[/C][C]120943.7[/C][C]122024[/C][/ROW]
[ROW][C]0.42[/C][C]125458.64[/C][C]126137.9[/C][C]125927[/C][C]125927[/C][C]126250.38[/C][C]125927[/C][C]126419.1[/C][C]125927[/C][/ROW]
[ROW][C]0.43[/C][C]127078.76[/C][C]127449.85[/C][C]127493[/C][C]127493[/C][C]127532.33[/C][C]127493[/C][C]126673.15[/C][C]127493[/C][/ROW]
[ROW][C]0.44[/C][C]127985.04[/C][C]128136.4[/C][C]128274[/C][C]128274[/C][C]128177.68[/C][C]127930[/C][C]128067.6[/C][C]128274[/C][/ROW]
[ROW][C]0.45[/C][C]128642[/C][C]128921.5[/C][C]128734[/C][C]128734[/C][C]128996.5[/C][C]128734[/C][C]129296.5[/C][C]128734[/C][/ROW]
[ROW][C]0.46[/C][C]129606.32[/C][C]129734.2[/C][C]129762[/C][C]129762[/C][C]129756.44[/C][C]129484[/C][C]129511.8[/C][C]129762[/C][/ROW]
[ROW][C]0.47[/C][C]130533.48[/C][C]130536.3[/C][C]130539[/C][C]130539[/C][C]130536.66[/C][C]130533[/C][C]130535.7[/C][C]130539[/C][/ROW]
[ROW][C]0.48[/C][C]130948.68[/C][C]131446[/C][C]131108[/C][C]131108[/C][C]131513.6[/C][C]131108[/C][C]132460[/C][C]131108[/C][/ROW]
[ROW][C]0.49[/C][C]133072.68[/C][C]133446.55[/C][C]133561[/C][C]133561[/C][C]133461.81[/C][C]132798[/C][C]132912.45[/C][C]133561[/C][/ROW]
[ROW][C]0.5[/C][C]135251[/C][C]135256[/C][C]135251[/C][C]135256[/C][C]135256[/C][C]135251[/C][C]135256[/C][C]135256[/C][/ROW]
[ROW][C]0.51[/C][C]136722.12[/C][C]137595.15[/C][C]137544[/C][C]137544[/C][C]137588.33[/C][C]137544[/C][C]137833.85[/C][C]137544[/C][/ROW]
[ROW][C]0.52[/C][C]137970.68[/C][C]138129.8[/C][C]138191[/C][C]138191[/C][C]138117.56[/C][C]137885[/C][C]137946.2[/C][C]138191[/C][/ROW]
[ROW][C]0.53[/C][C]139067.76[/C][C]139263.25[/C][C]139144[/C][C]139144[/C][C]139247.35[/C][C]139144[/C][C]139289.75[/C][C]139144[/C][/ROW]
[ROW][C]0.54[/C][C]140621.4[/C][C]141574.8[/C][C]141574[/C][C]141574[/C][C]141574.16[/C][C]141574[/C][C]141581.2[/C][C]141574[/C][/ROW]
[ROW][C]0.55[/C][C]141652.2[/C][C]141845.25[/C][C]141933[/C][C]141933[/C][C]141810.15[/C][C]141582[/C][C]141669.75[/C][C]141933[/C][/ROW]
[ROW][C]0.56[/C][C]142043.04[/C][C]142174[/C][C]142064[/C][C]142064[/C][C]142141[/C][C]142064[/C][C]142229[/C][C]142064[/C][/ROW]
[ROW][C]0.57[/C][C]143684.44[/C][C]145149.15[/C][C]145142[/C][C]145142[/C][C]144889.73[/C][C]142339[/C][C]145277.85[/C][C]145142[/C][/ROW]
[ROW][C]0.58[/C][C]145334.32[/C][C]145572.7[/C][C]145696[/C][C]145696[/C][C]145506.94[/C][C]145285[/C][C]145408.3[/C][C]145696[/C][/ROW]
[ROW][C]0.59[/C][C]145857.12[/C][C]146059.9[/C][C]145908[/C][C]145908[/C][C]145981.78[/C][C]145908[/C][C]146190.1[/C][C]145908[/C][/ROW]
[ROW][C]0.6[/C][C]147407.6[/C][C]149006[/C][C]149006[/C][C]149006[/C][C]148473.2[/C][C]146342[/C][C]149006[/C][C]149006[/C][/ROW]
[ROW][C]0.61[/C][C]151046.76[/C][C]151775.1[/C][C]152193[/C][C]152193[/C][C]151512.42[/C][C]150999[/C][C]151416.9[/C][C]152193[/C][/ROW]
[ROW][C]0.62[/C][C]152310.64[/C][C]152409.2[/C][C]152366[/C][C]152366[/C][C]152374.64[/C][C]152366[/C][C]152466.8[/C][C]152366[/C][/ROW]
[ROW][C]0.63[/C][C]154284.08[/C][C]157776.8[/C][C]158054[/C][C]158054[/C][C]156335.36[/C][C]152510[/C][C]152787.2[/C][C]158054[/C][/ROW]
[ROW][C]0.64[/C][C]158803.76[/C][C]159498[/C][C]158835[/C][C]158835[/C][C]159188.6[/C][C]158835[/C][C]159277[/C][C]159940[/C][/ROW]
[ROW][C]0.65[/C][C]161029.6[/C][C]161996[/C][C]161756[/C][C]161756[/C][C]161665.2[/C][C]161756[/C][C]162476[/C][C]161756[/C][/ROW]
[ROW][C]0.66[/C][C]163169.12[/C][C]164415.2[/C][C]164604[/C][C]164604[/C][C]163811.04[/C][C]162716[/C][C]162904.8[/C][C]164604[/C][/ROW]
[ROW][C]0.67[/C][C]166555.84[/C][C]167060.15[/C][C]166822[/C][C]166822[/C][C]166912.93[/C][C]166822[/C][C]167016.85[/C][C]167255[/C][/ROW]
[ROW][C]0.68[/C][C]167673.08[/C][C]168369.8[/C][C]168059[/C][C]168059[/C][C]167930.36[/C][C]168059[/C][C]169302.2[/C][C]168059[/C][/ROW]
[ROW][C]0.69[/C][C]169769[/C][C]170441.75[/C][C]170588[/C][C]170588[/C][C]170071.25[/C][C]169613[/C][C]169759.25[/C][C]170588[/C][/ROW]
[ROW][C]0.7[/C][C]171774.4[/C][C]172665.5[/C][C]172071[/C][C]172071[/C][C]172189.9[/C][C]172071[/C][C]172665.5[/C][C]172071[/C][/ROW]
[ROW][C]0.71[/C][C]173381[/C][C]173542.8[/C][C]173535[/C][C]173535[/C][C]173460.75[/C][C]173260[/C][C]173579.2[/C][C]173535[/C][/ROW]
[ROW][C]0.72[/C][C]173632.04[/C][C]174037.4[/C][C]174150[/C][C]174150[/C][C]173789.68[/C][C]173587[/C][C]173699.6[/C][C]174150[/C][/ROW]
[ROW][C]0.73[/C][C]175932[/C][C]178162.65[/C][C]176625[/C][C]176625[/C][C]176600.25[/C][C]176625[/C][C]178504.35[/C][C]176625[/C][/ROW]
[ROW][C]0.74[/C][C]180426.48[/C][C]181257.1[/C][C]181110[/C][C]181110[/C][C]180704.16[/C][C]180042[/C][C]182433.9[/C][C]181110[/C][/ROW]
[ROW][C]0.75[/C][C]182581[/C][C]184611.25[/C][C]182581[/C][C]183934.5[/C][C]183257.75[/C][C]182581[/C][C]183257.75[/C][C]185288[/C][/ROW]
[ROW][C]0.76[/C][C]185337.92[/C][C]186212.8[/C][C]185366[/C][C]185366[/C][C]185356.64[/C][C]185366[/C][C]186636.2[/C][C]185366[/C][/ROW]
[ROW][C]0.77[/C][C]187547.68[/C][C]187735.8[/C][C]187714[/C][C]187714[/C][C]187600.81[/C][C]187483[/C][C]188128.2[/C][C]187714[/C][/ROW]
[ROW][C]0.78[/C][C]188115.12[/C][C]189025.7[/C][C]188150[/C][C]188150[/C][C]188325.14[/C][C]188150[/C][C]188525.3[/C][C]189401[/C][/ROW]
[ROW][C]0.79[/C][C]189434.6[/C][C]189973.75[/C][C]189461[/C][C]189461[/C][C]189447.2[/C][C]189461[/C][C]190413.25[/C][C]189461[/C][/ROW]
[ROW][C]0.8[/C][C]191345.6[/C][C]193024[/C][C]193024[/C][C]193024[/C][C]191765.2[/C][C]190926[/C][C]193024[/C][C]193024[/C][/ROW]
[ROW][C]0.81[/C][C]193438.96[/C][C]194255.1[/C][C]193518[/C][C]193518[/C][C]193552.02[/C][C]193518[/C][C]193914.9[/C][C]194652[/C][/ROW]
[ROW][C]0.82[/C][C]195873.6[/C][C]197217.7[/C][C]197197[/C][C]197197[/C][C]196331.7[/C][C]194652[/C][C]197245.3[/C][C]197197[/C][/ROW]
[ROW][C]0.83[/C][C]197405.92[/C][C]198373.7[/C][C]198432[/C][C]198432[/C][C]197604.14[/C][C]197266[/C][C]197324.3[/C][C]198432[/C][/ROW]
[ROW][C]0.84[/C][C]198709.4[/C][C]199058[/C][C]198797[/C][C]198797[/C][C]198767.8[/C][C]198797[/C][C]198971[/C][C]199232[/C][/ROW]
[ROW][C]0.85[/C][C]200236.8[/C][C]201745[/C][C]201744[/C][C]201744[/C][C]200613.6[/C][C]199232[/C][C]201747[/C][C]201744[/C][/ROW]
[ROW][C]0.86[/C][C]201839.28[/C][C]203801.8[/C][C]204030[/C][C]204030[/C][C]202158.76[/C][C]201748[/C][C]201976.2[/C][C]204030[/C][/ROW]
[ROW][C]0.87[/C][C]205967.32[/C][C]208482.8[/C][C]206879[/C][C]206879[/C][C]206337.69[/C][C]206879[/C][C]208191.2[/C][C]209795[/C][/ROW]
[ROW][C]0.88[/C][C]210519.8[/C][C]214366[/C][C]212060[/C][C]212060[/C][C]210791.6[/C][C]209795[/C][C]221284[/C][C]212060[/C][/ROW]
[ROW][C]0.89[/C][C]223128.8[/C][C]224112.75[/C][C]223590[/C][C]223590[/C][C]223633.05[/C][C]223590[/C][C]223682.25[/C][C]224205[/C][/ROW]
[ROW][C]0.9[/C][C]225396.6[/C][C]234908[/C][C]226191[/C][C]226191[/C][C]225595.2[/C][C]226191[/C][C]234908[/C][C]234908[/C][/ROW]
[ROW][C]0.91[/C][C]243780.28[/C][C]244397.25[/C][C]244272[/C][C]244272[/C][C]243838.51[/C][C]243625[/C][C]244981.75[/C][C]244272[/C][/ROW]
[ROW][C]0.92[/C][C]245006.8[/C][C]246640.6[/C][C]245107[/C][C]245107[/C][C]245073.6[/C][C]245107[/C][C]245490.4[/C][C]247024[/C][/ROW]
[ROW][C]0.93[/C][C]248172.16[/C][C]251445.1[/C][C]249232[/C][C]249232[/C][C]248326.72[/C][C]249232[/C][C]251936.9[/C][C]249232[/C][/ROW]
[ROW][C]0.94[/C][C]254258[/C][C]254852.5[/C][C]254825[/C][C]254825[/C][C]254298.5[/C][C]254150[/C][C]255072.5[/C][C]254825[/C][/ROW]
[ROW][C]0.95[/C][C]255045[/C][C]256076.5[/C][C]255100[/C][C]255100[/C][C]255058.75[/C][C]255100[/C][C]255425.5[/C][C]256402[/C][/ROW]
[ROW][C]0.96[/C][C]256963[/C][C]260417.4[/C][C]257677[/C][C]257677[/C][C]257014[/C][C]256402[/C][C]261787.6[/C][C]257677[/C][/ROW]
[ROW][C]0.97[/C][C]265792.48[/C][C]280516.4[/C][C]280334[/C][C]280334[/C][C]266266.66[/C][C]264528[/C][C]283799.6[/C][C]280334[/C][/ROW]
[ROW][C]0.98[/C][C]282960.56[/C][C]285867.1[/C][C]283982[/C][C]283982[/C][C]283033.52[/C][C]283982[/C][C]284789.9[/C][C]286675[/C][/ROW]
[ROW][C]0.99[/C][C]293651.8[/C][C]306645.8[/C][C]306055[/C][C]306055[/C][C]293845.6[/C][C]286675[/C][C]307152.2[/C][C]306055[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=146127&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=146127&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
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.0100000000
0.02000025.48000
0.0390.1693.19898191.45984.998
0.04344.12354.2455455722.28455303.8455
0.0522152526.5719971998322.359695641.5969
0.0613489.7613939.1146881468816918.02146887947.914688
0.0719230.3619475.85210542105421826.441754719125.1521054
0.082308823188241882418824477.04229382393822938
0.0929679.7630330.1314143141432309.123141425271.931414
0.134552.835003.5372573725737544.13275035003.535003.5
0.1138416.9238974.95432874328742931.893821442526.0538214
0.1245580.6445985.4466604666049089.844666043961.646660
0.1354473.5655885.1618576185762459.685099956970.950999
0.1464902.1265364.9650296502967783.386502968052.165029
0.156847868500.5685386853868957.856853868425.568538
0.1670454.0471109.4735677356773610.66947171928.669471
0.1774046.674134.75741127411274435.057411274544.2574112
0.1875556.5675899.1764707647076706.647647075137.976470
0.1977340.477547.5782567825678223.37716677874.577166
0.278691.278800788007880080091.8788007880078800
0.2180957.8480960.15809648096480996.668095380956.8580964
0.228151482636862068620685492811068467681106
0.2386504.886600.25866218662187942.538662186226.7586621
0.2489909.4890303.8909619096191000.488931889975.290961
0.259129091427912909156491701912909170191290
0.2692661.6892996.3931259312593459.789312591966.793125
0.2794367.4894716.05952979529795324.699400694586.9595297
0.2897844.4898131.4980669806698275.289806698327.698066
0.2998578.3698674.35987249872498742.099872498442.6598724
0.399680.6101015103239103239102794.298791101015101015
0.31104186.52104533.5104367104367104955.3104367105310.5104367
0.32105820.68106049.8106193106193106218.28105477105620.2106193
0.33106415.44106592.65106888106888106775.23106351106646.35106351
0.34107944.4108373.9108278108278108680.78108278109141.1108278
0.35110343.8111312.25112004112004112076.85109237109928.75112004
0.36113476.68113617.8113853113853113727.56113461113696.2113461
0.37115293.24115997.55115971115971116135.61115971116475.45115971
0.38116922.16117421.1117815117815117736.22116502116895.9117815
0.39117921.56118134.6117926117926118265.72117926118313.4117926
0.4118693118807118807118807119118118807118807118807
0.41120760.88121442.3122024122024121741.46120362120943.7122024
0.42125458.64126137.9125927125927126250.38125927126419.1125927
0.43127078.76127449.85127493127493127532.33127493126673.15127493
0.44127985.04128136.4128274128274128177.68127930128067.6128274
0.45128642128921.5128734128734128996.5128734129296.5128734
0.46129606.32129734.2129762129762129756.44129484129511.8129762
0.47130533.48130536.3130539130539130536.66130533130535.7130539
0.48130948.68131446131108131108131513.6131108132460131108
0.49133072.68133446.55133561133561133461.81132798132912.45133561
0.5135251135256135251135256135256135251135256135256
0.51136722.12137595.15137544137544137588.33137544137833.85137544
0.52137970.68138129.8138191138191138117.56137885137946.2138191
0.53139067.76139263.25139144139144139247.35139144139289.75139144
0.54140621.4141574.8141574141574141574.16141574141581.2141574
0.55141652.2141845.25141933141933141810.15141582141669.75141933
0.56142043.04142174142064142064142141142064142229142064
0.57143684.44145149.15145142145142144889.73142339145277.85145142
0.58145334.32145572.7145696145696145506.94145285145408.3145696
0.59145857.12146059.9145908145908145981.78145908146190.1145908
0.6147407.6149006149006149006148473.2146342149006149006
0.61151046.76151775.1152193152193151512.42150999151416.9152193
0.62152310.64152409.2152366152366152374.64152366152466.8152366
0.63154284.08157776.8158054158054156335.36152510152787.2158054
0.64158803.76159498158835158835159188.6158835159277159940
0.65161029.6161996161756161756161665.2161756162476161756
0.66163169.12164415.2164604164604163811.04162716162904.8164604
0.67166555.84167060.15166822166822166912.93166822167016.85167255
0.68167673.08168369.8168059168059167930.36168059169302.2168059
0.69169769170441.75170588170588170071.25169613169759.25170588
0.7171774.4172665.5172071172071172189.9172071172665.5172071
0.71173381173542.8173535173535173460.75173260173579.2173535
0.72173632.04174037.4174150174150173789.68173587173699.6174150
0.73175932178162.65176625176625176600.25176625178504.35176625
0.74180426.48181257.1181110181110180704.16180042182433.9181110
0.75182581184611.25182581183934.5183257.75182581183257.75185288
0.76185337.92186212.8185366185366185356.64185366186636.2185366
0.77187547.68187735.8187714187714187600.81187483188128.2187714
0.78188115.12189025.7188150188150188325.14188150188525.3189401
0.79189434.6189973.75189461189461189447.2189461190413.25189461
0.8191345.6193024193024193024191765.2190926193024193024
0.81193438.96194255.1193518193518193552.02193518193914.9194652
0.82195873.6197217.7197197197197196331.7194652197245.3197197
0.83197405.92198373.7198432198432197604.14197266197324.3198432
0.84198709.4199058198797198797198767.8198797198971199232
0.85200236.8201745201744201744200613.6199232201747201744
0.86201839.28203801.8204030204030202158.76201748201976.2204030
0.87205967.32208482.8206879206879206337.69206879208191.2209795
0.88210519.8214366212060212060210791.6209795221284212060
0.89223128.8224112.75223590223590223633.05223590223682.25224205
0.9225396.6234908226191226191225595.2226191234908234908
0.91243780.28244397.25244272244272243838.51243625244981.75244272
0.92245006.8246640.6245107245107245073.6245107245490.4247024
0.93248172.16251445.1249232249232248326.72249232251936.9249232
0.94254258254852.5254825254825254298.5254150255072.5254825
0.95255045256076.5255100255100255058.75255100255425.5256402
0.96256963260417.4257677257677257014256402261787.6257677
0.97265792.48280516.4280334280334266266.66264528283799.6280334
0.98282960.56285867.1283982283982283033.52283982284789.9286675
0.99293651.8306645.8306055306055293845.6286675307152.2306055



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')