Free Statistics

of Irreproducible Research!

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Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationFri, 23 Dec 2011 11:47:07 -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/Dec/23/t1324658903ffl7hzo48dvpuja.htm/, Retrieved Mon, 29 Apr 2024 19:37:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=160575, Retrieved Mon, 29 Apr 2024 19:37:53 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Percentiles] [paper qq-plot 2] [2011-12-23 16:47:07] [635499bc27d9f41bf7bccae25a54e146] [Current]
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Dataseries X:
197426
187326
184923
183500
176225
169707
169265
167949
165986
165933
165904
160902
160141
156349
154771
154451
151911
151715
150491
150047
149959
149695
147172
146975
146760
144551
144408
144244
143592
140824
140358
140015
139165
136588
135356
134238
134047
131072
128692
127654
126817
126372
125818
125386
125081
124089
123534
120192
119442
118906
117440
116066
114948
114799
114360
113344
112431
112302
112098
110529
110459
109432
108535
108146
105079
104978
104767
104581
104128
103925
103297
103129
103037
102812
102153
102070
101629
101382
101047
100350
100087
100046
96125
95893
95676
93879
93487
93473
92622
92280
92059
89626
89506
89256
88977
86652
84601
83515
83248
83243
82317
81897
81625
81351
79756
79089
79011
76173
72128
71571
71154
70168
69867
69652
69446
68946
68788
67150
66485
66089
65594
64593
64520
59938
59900
57224
56750
56622
55918
52789
48029
45724
43929
43750
38692
37238
37110




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=160575&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=160575&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160575&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)
0.0137157.3637158.64372383723837761.443711037189.3637110
0.0238313.9638343.04386923869242333.763869237586.9638692
0.0343769.6943775.06439294392944072.64375043903.9443750
0.0444790.644862.4457244572446738.24392944790.645724
0.0547683.2547798.54802948029518374802945954.548029
0.0653477.3853665.12559185591856030.645278955041.8852789
0.0756333.3656382.64566225662256688.565662256157.3656622
0.0856744.8856768.96567505675057167.125675057205.0456750
0.0958107.0858347.92599005990059909.125722458776.0857224
0.159926.659930.4599385993862687.25993859907.659938
0.1164525.1164533.14645936459364590.086452064579.8664520
0.1265033.4465153.56655946559465752.46459365033.4465594
0.1365994.9566059.3660896608966358.286608965623.766089
0.1466604.766697.8671506715067215.526648566937.266485
0.1568050.968296.6687886878868851.26878867641.468788
0.1668933.3668986689466894669326689466940668946
0.1769505.7469540.76696526965269677.86944669557.2469446
0.1869793.969832.6698676986770011.486986769686.469867
0.1970197.5870384.92711547115470996.247016870937.0870168
0.271320.871404.2715717157171682.47115471320.871571
0.2171999.8972116.86721287212874393.27212871582.1472128
0.2276570.3277194.68790117901178783.967617377989.3276173
0.2379050.7879068.72790897908979275.767908979031.2879089
0.2479675.9679947.4797567975680776.87975681159.679756
0.2581419.581488816258162581625813518148881488
0.2681793.6481864.36818978189782048.28189781657.6481897
0.2782312.882557.76823178231782983.728231783002.2482317
0.2883244.883246.2832488324883269.368324383244.883248
0.2983442.9183536.72835158351583992.848351584579.2883515
0.384806.185421.4866528665286241.88460185831.684601
0.3187744.7588465.5889778897789021.648665287163.588977
0.3289211.3689296892568925689386892568946689256
0.3389531.289570.8896268962689611.68950689561.289626
0.3491037.1491864.36920599205992112.049205989820.6492059
0.3592268.9592382.6922809228092485.29228092519.492280
0.3692894.3293200.68934739347393438.969262292894.3293473
0.3793482.6693510.52934879348793612.449348793855.4893487
0.3893986.8294669.68956769567695100.969387994885.3293879
0.3995769.3195853.94958939589395902.289567695715.0695893
0.496078.696909.2961259612597693.49612599261.896125
0.41100052.97100069.78100087100087100077.16100046100063.22100087
0.42100229.02100339.48100350100350100433.64100350100097.52100350
0.43100984.27101160.9101047101047101207.8101047101268.1101047
0.44101451.16101559.84101629101629101589.48101382101451.16101629
0.45101915.65102078.3102070102070102086.6102070102144.7102070
0.46102166.18102469.32102812102812102522.04102153102495.68102153
0.47102899.75103005.5103037103037103019102812102843.5103037
0.48103106.92103169.32103129103129103176.04103129103256.68103129
0.49103378.64103686.36103925103925103698.92103297103535.64103925
0.5104026.5104128104128104128104128104128104128104128
0.51104522.11104651.68104581104581104647.96104581104696.32104581
0.52104817.64104927.36104978104978104918.92104767104817.64104978
0.53105039.61105508.38105079105079105324.36105079107716.62105079
0.54108084.66108348.28108146108146108317.16108146108332.72108535
0.55108848.95109342.3109432109432109252.6108535108624.7109432
0.56110171.44110478.6110459110459110470.2110459110509.4110459
0.57110670.21111564.54112098112098111344.88110529111062.46112098
0.58112191.84112307.16112302112302112277.52112098112425.84112302
0.59112409.07112814.46112431112431112650.12112431112960.54112431
0.6113547.2114156.8114360114360113953.6113344113547.2114360
0.61114610.23114825.82114799114799114781.44114799114921.18114799
0.62114939.06115574.08114948114948115305.76114948115439.92116066
0.63116491.94117357.56117440117440117000.32116066116148.44117440
0.64118436.88119077.52118906118906118927.44118906119270.48118906
0.65119479.5119967120192120192119742119442119667120192
0.66121595.64123578.4123534123534122731.92120192124044.6123534
0.67123972.45124545.32124089124089124208.04124089124624.68124089
0.68125129.8125337.2125386125386125227.4125081125129.8125386
0.69125614.96125939.88125818125818125748.88125818126250.12125818
0.7126316.6126639126372126372126461126372126550126817
0.71127042.99127637.26127654127654127285.72126817126833.74127654
0.72128318.32129548.8128692128692128608.96128692130215.2128692
0.73131101.75133273.5134047134047131905131072131845.5134047
0.74134119.58134372.16134238134238134169.24134047135221.84134238
0.75135076.5135972135356135356135356135356135972135972
0.76136897.24138855.76139165139165137515.72136588136897.24139165
0.77139581.5140104.18140015140015139777139165140268.82140015
0.78140309.98140656.24140358140358140395.28140358140525.76140824
0.79141460.64143605.04143592143592142041.92140824144230.96143592
0.8143983.2144309.6144244144244144113.6144244144342.4144244
0.81144403.08144519.54144408144408144430.88144408144439.46144551
0.82145302.06146794.4146760146760145699.68144551146940.6146760
0.83146912.65147081.38146975146975146949.2146975147065.62147172
0.84147373.84149493.16149695149695147777.52147172147373.84149695
0.85149813.8149985.4149959149959149853.4149695150020.6149959
0.86150031.16150348.92150047150047150043.48150047150189.08150491
0.87150723.56151726.76151715151715150882.68150491151899.24151715
0.88151824.76153028.6151911151911151848.28151911153333.4151911
0.89154273.2154713.4154451154451154463.8154451154508.6154771
0.9155244.4157107.4156349156349155402.2154771159382.6156349
0.91158889.64160582.38160141160141159230.92160141160460.62160902
0.92161102.08165703.92165904165904161502.24160902161102.08165904
0.93165915.89165951.02165933165933165917.92165904165967.98165933
0.94165974.34167399.36165986165986165977.52165986166535.64167949
0.95168146.4169309.2169265169265168212.2167949169662.8169265
0.96169494.84172835.64169707169707169512.52169707173096.36169707
0.97175508.02182481.5176225176225175703.56176225177243.5183500
0.98183869.98185499.72184923184923183898.44183500186749.28184923
0.99186436.89193588187326187326186460.92187326191164197426

\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 & 37157.36 & 37158.64 & 37238 & 37238 & 37761.44 & 37110 & 37189.36 & 37110 \tabularnewline
0.02 & 38313.96 & 38343.04 & 38692 & 38692 & 42333.76 & 38692 & 37586.96 & 38692 \tabularnewline
0.03 & 43769.69 & 43775.06 & 43929 & 43929 & 44072.6 & 43750 & 43903.94 & 43750 \tabularnewline
0.04 & 44790.6 & 44862.4 & 45724 & 45724 & 46738.2 & 43929 & 44790.6 & 45724 \tabularnewline
0.05 & 47683.25 & 47798.5 & 48029 & 48029 & 51837 & 48029 & 45954.5 & 48029 \tabularnewline
0.06 & 53477.38 & 53665.12 & 55918 & 55918 & 56030.64 & 52789 & 55041.88 & 52789 \tabularnewline
0.07 & 56333.36 & 56382.64 & 56622 & 56622 & 56688.56 & 56622 & 56157.36 & 56622 \tabularnewline
0.08 & 56744.88 & 56768.96 & 56750 & 56750 & 57167.12 & 56750 & 57205.04 & 56750 \tabularnewline
0.09 & 58107.08 & 58347.92 & 59900 & 59900 & 59909.12 & 57224 & 58776.08 & 57224 \tabularnewline
0.1 & 59926.6 & 59930.4 & 59938 & 59938 & 62687.2 & 59938 & 59907.6 & 59938 \tabularnewline
0.11 & 64525.11 & 64533.14 & 64593 & 64593 & 64590.08 & 64520 & 64579.86 & 64520 \tabularnewline
0.12 & 65033.44 & 65153.56 & 65594 & 65594 & 65752.4 & 64593 & 65033.44 & 65594 \tabularnewline
0.13 & 65994.95 & 66059.3 & 66089 & 66089 & 66358.28 & 66089 & 65623.7 & 66089 \tabularnewline
0.14 & 66604.7 & 66697.8 & 67150 & 67150 & 67215.52 & 66485 & 66937.2 & 66485 \tabularnewline
0.15 & 68050.9 & 68296.6 & 68788 & 68788 & 68851.2 & 68788 & 67641.4 & 68788 \tabularnewline
0.16 & 68933.36 & 68986 & 68946 & 68946 & 69326 & 68946 & 69406 & 68946 \tabularnewline
0.17 & 69505.74 & 69540.76 & 69652 & 69652 & 69677.8 & 69446 & 69557.24 & 69446 \tabularnewline
0.18 & 69793.9 & 69832.6 & 69867 & 69867 & 70011.48 & 69867 & 69686.4 & 69867 \tabularnewline
0.19 & 70197.58 & 70384.92 & 71154 & 71154 & 70996.24 & 70168 & 70937.08 & 70168 \tabularnewline
0.2 & 71320.8 & 71404.2 & 71571 & 71571 & 71682.4 & 71154 & 71320.8 & 71571 \tabularnewline
0.21 & 71999.89 & 72116.86 & 72128 & 72128 & 74393.2 & 72128 & 71582.14 & 72128 \tabularnewline
0.22 & 76570.32 & 77194.68 & 79011 & 79011 & 78783.96 & 76173 & 77989.32 & 76173 \tabularnewline
0.23 & 79050.78 & 79068.72 & 79089 & 79089 & 79275.76 & 79089 & 79031.28 & 79089 \tabularnewline
0.24 & 79675.96 & 79947.4 & 79756 & 79756 & 80776.8 & 79756 & 81159.6 & 79756 \tabularnewline
0.25 & 81419.5 & 81488 & 81625 & 81625 & 81625 & 81351 & 81488 & 81488 \tabularnewline
0.26 & 81793.64 & 81864.36 & 81897 & 81897 & 82048.2 & 81897 & 81657.64 & 81897 \tabularnewline
0.27 & 82312.8 & 82557.76 & 82317 & 82317 & 82983.72 & 82317 & 83002.24 & 82317 \tabularnewline
0.28 & 83244.8 & 83246.2 & 83248 & 83248 & 83269.36 & 83243 & 83244.8 & 83248 \tabularnewline
0.29 & 83442.91 & 83536.72 & 83515 & 83515 & 83992.84 & 83515 & 84579.28 & 83515 \tabularnewline
0.3 & 84806.1 & 85421.4 & 86652 & 86652 & 86241.8 & 84601 & 85831.6 & 84601 \tabularnewline
0.31 & 87744.75 & 88465.5 & 88977 & 88977 & 89021.64 & 86652 & 87163.5 & 88977 \tabularnewline
0.32 & 89211.36 & 89296 & 89256 & 89256 & 89386 & 89256 & 89466 & 89256 \tabularnewline
0.33 & 89531.2 & 89570.8 & 89626 & 89626 & 89611.6 & 89506 & 89561.2 & 89626 \tabularnewline
0.34 & 91037.14 & 91864.36 & 92059 & 92059 & 92112.04 & 92059 & 89820.64 & 92059 \tabularnewline
0.35 & 92268.95 & 92382.6 & 92280 & 92280 & 92485.2 & 92280 & 92519.4 & 92280 \tabularnewline
0.36 & 92894.32 & 93200.68 & 93473 & 93473 & 93438.96 & 92622 & 92894.32 & 93473 \tabularnewline
0.37 & 93482.66 & 93510.52 & 93487 & 93487 & 93612.44 & 93487 & 93855.48 & 93487 \tabularnewline
0.38 & 93986.82 & 94669.68 & 95676 & 95676 & 95100.96 & 93879 & 94885.32 & 93879 \tabularnewline
0.39 & 95769.31 & 95853.94 & 95893 & 95893 & 95902.28 & 95676 & 95715.06 & 95893 \tabularnewline
0.4 & 96078.6 & 96909.2 & 96125 & 96125 & 97693.4 & 96125 & 99261.8 & 96125 \tabularnewline
0.41 & 100052.97 & 100069.78 & 100087 & 100087 & 100077.16 & 100046 & 100063.22 & 100087 \tabularnewline
0.42 & 100229.02 & 100339.48 & 100350 & 100350 & 100433.64 & 100350 & 100097.52 & 100350 \tabularnewline
0.43 & 100984.27 & 101160.9 & 101047 & 101047 & 101207.8 & 101047 & 101268.1 & 101047 \tabularnewline
0.44 & 101451.16 & 101559.84 & 101629 & 101629 & 101589.48 & 101382 & 101451.16 & 101629 \tabularnewline
0.45 & 101915.65 & 102078.3 & 102070 & 102070 & 102086.6 & 102070 & 102144.7 & 102070 \tabularnewline
0.46 & 102166.18 & 102469.32 & 102812 & 102812 & 102522.04 & 102153 & 102495.68 & 102153 \tabularnewline
0.47 & 102899.75 & 103005.5 & 103037 & 103037 & 103019 & 102812 & 102843.5 & 103037 \tabularnewline
0.48 & 103106.92 & 103169.32 & 103129 & 103129 & 103176.04 & 103129 & 103256.68 & 103129 \tabularnewline
0.49 & 103378.64 & 103686.36 & 103925 & 103925 & 103698.92 & 103297 & 103535.64 & 103925 \tabularnewline
0.5 & 104026.5 & 104128 & 104128 & 104128 & 104128 & 104128 & 104128 & 104128 \tabularnewline
0.51 & 104522.11 & 104651.68 & 104581 & 104581 & 104647.96 & 104581 & 104696.32 & 104581 \tabularnewline
0.52 & 104817.64 & 104927.36 & 104978 & 104978 & 104918.92 & 104767 & 104817.64 & 104978 \tabularnewline
0.53 & 105039.61 & 105508.38 & 105079 & 105079 & 105324.36 & 105079 & 107716.62 & 105079 \tabularnewline
0.54 & 108084.66 & 108348.28 & 108146 & 108146 & 108317.16 & 108146 & 108332.72 & 108535 \tabularnewline
0.55 & 108848.95 & 109342.3 & 109432 & 109432 & 109252.6 & 108535 & 108624.7 & 109432 \tabularnewline
0.56 & 110171.44 & 110478.6 & 110459 & 110459 & 110470.2 & 110459 & 110509.4 & 110459 \tabularnewline
0.57 & 110670.21 & 111564.54 & 112098 & 112098 & 111344.88 & 110529 & 111062.46 & 112098 \tabularnewline
0.58 & 112191.84 & 112307.16 & 112302 & 112302 & 112277.52 & 112098 & 112425.84 & 112302 \tabularnewline
0.59 & 112409.07 & 112814.46 & 112431 & 112431 & 112650.12 & 112431 & 112960.54 & 112431 \tabularnewline
0.6 & 113547.2 & 114156.8 & 114360 & 114360 & 113953.6 & 113344 & 113547.2 & 114360 \tabularnewline
0.61 & 114610.23 & 114825.82 & 114799 & 114799 & 114781.44 & 114799 & 114921.18 & 114799 \tabularnewline
0.62 & 114939.06 & 115574.08 & 114948 & 114948 & 115305.76 & 114948 & 115439.92 & 116066 \tabularnewline
0.63 & 116491.94 & 117357.56 & 117440 & 117440 & 117000.32 & 116066 & 116148.44 & 117440 \tabularnewline
0.64 & 118436.88 & 119077.52 & 118906 & 118906 & 118927.44 & 118906 & 119270.48 & 118906 \tabularnewline
0.65 & 119479.5 & 119967 & 120192 & 120192 & 119742 & 119442 & 119667 & 120192 \tabularnewline
0.66 & 121595.64 & 123578.4 & 123534 & 123534 & 122731.92 & 120192 & 124044.6 & 123534 \tabularnewline
0.67 & 123972.45 & 124545.32 & 124089 & 124089 & 124208.04 & 124089 & 124624.68 & 124089 \tabularnewline
0.68 & 125129.8 & 125337.2 & 125386 & 125386 & 125227.4 & 125081 & 125129.8 & 125386 \tabularnewline
0.69 & 125614.96 & 125939.88 & 125818 & 125818 & 125748.88 & 125818 & 126250.12 & 125818 \tabularnewline
0.7 & 126316.6 & 126639 & 126372 & 126372 & 126461 & 126372 & 126550 & 126817 \tabularnewline
0.71 & 127042.99 & 127637.26 & 127654 & 127654 & 127285.72 & 126817 & 126833.74 & 127654 \tabularnewline
0.72 & 128318.32 & 129548.8 & 128692 & 128692 & 128608.96 & 128692 & 130215.2 & 128692 \tabularnewline
0.73 & 131101.75 & 133273.5 & 134047 & 134047 & 131905 & 131072 & 131845.5 & 134047 \tabularnewline
0.74 & 134119.58 & 134372.16 & 134238 & 134238 & 134169.24 & 134047 & 135221.84 & 134238 \tabularnewline
0.75 & 135076.5 & 135972 & 135356 & 135356 & 135356 & 135356 & 135972 & 135972 \tabularnewline
0.76 & 136897.24 & 138855.76 & 139165 & 139165 & 137515.72 & 136588 & 136897.24 & 139165 \tabularnewline
0.77 & 139581.5 & 140104.18 & 140015 & 140015 & 139777 & 139165 & 140268.82 & 140015 \tabularnewline
0.78 & 140309.98 & 140656.24 & 140358 & 140358 & 140395.28 & 140358 & 140525.76 & 140824 \tabularnewline
0.79 & 141460.64 & 143605.04 & 143592 & 143592 & 142041.92 & 140824 & 144230.96 & 143592 \tabularnewline
0.8 & 143983.2 & 144309.6 & 144244 & 144244 & 144113.6 & 144244 & 144342.4 & 144244 \tabularnewline
0.81 & 144403.08 & 144519.54 & 144408 & 144408 & 144430.88 & 144408 & 144439.46 & 144551 \tabularnewline
0.82 & 145302.06 & 146794.4 & 146760 & 146760 & 145699.68 & 144551 & 146940.6 & 146760 \tabularnewline
0.83 & 146912.65 & 147081.38 & 146975 & 146975 & 146949.2 & 146975 & 147065.62 & 147172 \tabularnewline
0.84 & 147373.84 & 149493.16 & 149695 & 149695 & 147777.52 & 147172 & 147373.84 & 149695 \tabularnewline
0.85 & 149813.8 & 149985.4 & 149959 & 149959 & 149853.4 & 149695 & 150020.6 & 149959 \tabularnewline
0.86 & 150031.16 & 150348.92 & 150047 & 150047 & 150043.48 & 150047 & 150189.08 & 150491 \tabularnewline
0.87 & 150723.56 & 151726.76 & 151715 & 151715 & 150882.68 & 150491 & 151899.24 & 151715 \tabularnewline
0.88 & 151824.76 & 153028.6 & 151911 & 151911 & 151848.28 & 151911 & 153333.4 & 151911 \tabularnewline
0.89 & 154273.2 & 154713.4 & 154451 & 154451 & 154463.8 & 154451 & 154508.6 & 154771 \tabularnewline
0.9 & 155244.4 & 157107.4 & 156349 & 156349 & 155402.2 & 154771 & 159382.6 & 156349 \tabularnewline
0.91 & 158889.64 & 160582.38 & 160141 & 160141 & 159230.92 & 160141 & 160460.62 & 160902 \tabularnewline
0.92 & 161102.08 & 165703.92 & 165904 & 165904 & 161502.24 & 160902 & 161102.08 & 165904 \tabularnewline
0.93 & 165915.89 & 165951.02 & 165933 & 165933 & 165917.92 & 165904 & 165967.98 & 165933 \tabularnewline
0.94 & 165974.34 & 167399.36 & 165986 & 165986 & 165977.52 & 165986 & 166535.64 & 167949 \tabularnewline
0.95 & 168146.4 & 169309.2 & 169265 & 169265 & 168212.2 & 167949 & 169662.8 & 169265 \tabularnewline
0.96 & 169494.84 & 172835.64 & 169707 & 169707 & 169512.52 & 169707 & 173096.36 & 169707 \tabularnewline
0.97 & 175508.02 & 182481.5 & 176225 & 176225 & 175703.56 & 176225 & 177243.5 & 183500 \tabularnewline
0.98 & 183869.98 & 185499.72 & 184923 & 184923 & 183898.44 & 183500 & 186749.28 & 184923 \tabularnewline
0.99 & 186436.89 & 193588 & 187326 & 187326 & 186460.92 & 187326 & 191164 & 197426 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160575&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]37157.36[/C][C]37158.64[/C][C]37238[/C][C]37238[/C][C]37761.44[/C][C]37110[/C][C]37189.36[/C][C]37110[/C][/ROW]
[ROW][C]0.02[/C][C]38313.96[/C][C]38343.04[/C][C]38692[/C][C]38692[/C][C]42333.76[/C][C]38692[/C][C]37586.96[/C][C]38692[/C][/ROW]
[ROW][C]0.03[/C][C]43769.69[/C][C]43775.06[/C][C]43929[/C][C]43929[/C][C]44072.6[/C][C]43750[/C][C]43903.94[/C][C]43750[/C][/ROW]
[ROW][C]0.04[/C][C]44790.6[/C][C]44862.4[/C][C]45724[/C][C]45724[/C][C]46738.2[/C][C]43929[/C][C]44790.6[/C][C]45724[/C][/ROW]
[ROW][C]0.05[/C][C]47683.25[/C][C]47798.5[/C][C]48029[/C][C]48029[/C][C]51837[/C][C]48029[/C][C]45954.5[/C][C]48029[/C][/ROW]
[ROW][C]0.06[/C][C]53477.38[/C][C]53665.12[/C][C]55918[/C][C]55918[/C][C]56030.64[/C][C]52789[/C][C]55041.88[/C][C]52789[/C][/ROW]
[ROW][C]0.07[/C][C]56333.36[/C][C]56382.64[/C][C]56622[/C][C]56622[/C][C]56688.56[/C][C]56622[/C][C]56157.36[/C][C]56622[/C][/ROW]
[ROW][C]0.08[/C][C]56744.88[/C][C]56768.96[/C][C]56750[/C][C]56750[/C][C]57167.12[/C][C]56750[/C][C]57205.04[/C][C]56750[/C][/ROW]
[ROW][C]0.09[/C][C]58107.08[/C][C]58347.92[/C][C]59900[/C][C]59900[/C][C]59909.12[/C][C]57224[/C][C]58776.08[/C][C]57224[/C][/ROW]
[ROW][C]0.1[/C][C]59926.6[/C][C]59930.4[/C][C]59938[/C][C]59938[/C][C]62687.2[/C][C]59938[/C][C]59907.6[/C][C]59938[/C][/ROW]
[ROW][C]0.11[/C][C]64525.11[/C][C]64533.14[/C][C]64593[/C][C]64593[/C][C]64590.08[/C][C]64520[/C][C]64579.86[/C][C]64520[/C][/ROW]
[ROW][C]0.12[/C][C]65033.44[/C][C]65153.56[/C][C]65594[/C][C]65594[/C][C]65752.4[/C][C]64593[/C][C]65033.44[/C][C]65594[/C][/ROW]
[ROW][C]0.13[/C][C]65994.95[/C][C]66059.3[/C][C]66089[/C][C]66089[/C][C]66358.28[/C][C]66089[/C][C]65623.7[/C][C]66089[/C][/ROW]
[ROW][C]0.14[/C][C]66604.7[/C][C]66697.8[/C][C]67150[/C][C]67150[/C][C]67215.52[/C][C]66485[/C][C]66937.2[/C][C]66485[/C][/ROW]
[ROW][C]0.15[/C][C]68050.9[/C][C]68296.6[/C][C]68788[/C][C]68788[/C][C]68851.2[/C][C]68788[/C][C]67641.4[/C][C]68788[/C][/ROW]
[ROW][C]0.16[/C][C]68933.36[/C][C]68986[/C][C]68946[/C][C]68946[/C][C]69326[/C][C]68946[/C][C]69406[/C][C]68946[/C][/ROW]
[ROW][C]0.17[/C][C]69505.74[/C][C]69540.76[/C][C]69652[/C][C]69652[/C][C]69677.8[/C][C]69446[/C][C]69557.24[/C][C]69446[/C][/ROW]
[ROW][C]0.18[/C][C]69793.9[/C][C]69832.6[/C][C]69867[/C][C]69867[/C][C]70011.48[/C][C]69867[/C][C]69686.4[/C][C]69867[/C][/ROW]
[ROW][C]0.19[/C][C]70197.58[/C][C]70384.92[/C][C]71154[/C][C]71154[/C][C]70996.24[/C][C]70168[/C][C]70937.08[/C][C]70168[/C][/ROW]
[ROW][C]0.2[/C][C]71320.8[/C][C]71404.2[/C][C]71571[/C][C]71571[/C][C]71682.4[/C][C]71154[/C][C]71320.8[/C][C]71571[/C][/ROW]
[ROW][C]0.21[/C][C]71999.89[/C][C]72116.86[/C][C]72128[/C][C]72128[/C][C]74393.2[/C][C]72128[/C][C]71582.14[/C][C]72128[/C][/ROW]
[ROW][C]0.22[/C][C]76570.32[/C][C]77194.68[/C][C]79011[/C][C]79011[/C][C]78783.96[/C][C]76173[/C][C]77989.32[/C][C]76173[/C][/ROW]
[ROW][C]0.23[/C][C]79050.78[/C][C]79068.72[/C][C]79089[/C][C]79089[/C][C]79275.76[/C][C]79089[/C][C]79031.28[/C][C]79089[/C][/ROW]
[ROW][C]0.24[/C][C]79675.96[/C][C]79947.4[/C][C]79756[/C][C]79756[/C][C]80776.8[/C][C]79756[/C][C]81159.6[/C][C]79756[/C][/ROW]
[ROW][C]0.25[/C][C]81419.5[/C][C]81488[/C][C]81625[/C][C]81625[/C][C]81625[/C][C]81351[/C][C]81488[/C][C]81488[/C][/ROW]
[ROW][C]0.26[/C][C]81793.64[/C][C]81864.36[/C][C]81897[/C][C]81897[/C][C]82048.2[/C][C]81897[/C][C]81657.64[/C][C]81897[/C][/ROW]
[ROW][C]0.27[/C][C]82312.8[/C][C]82557.76[/C][C]82317[/C][C]82317[/C][C]82983.72[/C][C]82317[/C][C]83002.24[/C][C]82317[/C][/ROW]
[ROW][C]0.28[/C][C]83244.8[/C][C]83246.2[/C][C]83248[/C][C]83248[/C][C]83269.36[/C][C]83243[/C][C]83244.8[/C][C]83248[/C][/ROW]
[ROW][C]0.29[/C][C]83442.91[/C][C]83536.72[/C][C]83515[/C][C]83515[/C][C]83992.84[/C][C]83515[/C][C]84579.28[/C][C]83515[/C][/ROW]
[ROW][C]0.3[/C][C]84806.1[/C][C]85421.4[/C][C]86652[/C][C]86652[/C][C]86241.8[/C][C]84601[/C][C]85831.6[/C][C]84601[/C][/ROW]
[ROW][C]0.31[/C][C]87744.75[/C][C]88465.5[/C][C]88977[/C][C]88977[/C][C]89021.64[/C][C]86652[/C][C]87163.5[/C][C]88977[/C][/ROW]
[ROW][C]0.32[/C][C]89211.36[/C][C]89296[/C][C]89256[/C][C]89256[/C][C]89386[/C][C]89256[/C][C]89466[/C][C]89256[/C][/ROW]
[ROW][C]0.33[/C][C]89531.2[/C][C]89570.8[/C][C]89626[/C][C]89626[/C][C]89611.6[/C][C]89506[/C][C]89561.2[/C][C]89626[/C][/ROW]
[ROW][C]0.34[/C][C]91037.14[/C][C]91864.36[/C][C]92059[/C][C]92059[/C][C]92112.04[/C][C]92059[/C][C]89820.64[/C][C]92059[/C][/ROW]
[ROW][C]0.35[/C][C]92268.95[/C][C]92382.6[/C][C]92280[/C][C]92280[/C][C]92485.2[/C][C]92280[/C][C]92519.4[/C][C]92280[/C][/ROW]
[ROW][C]0.36[/C][C]92894.32[/C][C]93200.68[/C][C]93473[/C][C]93473[/C][C]93438.96[/C][C]92622[/C][C]92894.32[/C][C]93473[/C][/ROW]
[ROW][C]0.37[/C][C]93482.66[/C][C]93510.52[/C][C]93487[/C][C]93487[/C][C]93612.44[/C][C]93487[/C][C]93855.48[/C][C]93487[/C][/ROW]
[ROW][C]0.38[/C][C]93986.82[/C][C]94669.68[/C][C]95676[/C][C]95676[/C][C]95100.96[/C][C]93879[/C][C]94885.32[/C][C]93879[/C][/ROW]
[ROW][C]0.39[/C][C]95769.31[/C][C]95853.94[/C][C]95893[/C][C]95893[/C][C]95902.28[/C][C]95676[/C][C]95715.06[/C][C]95893[/C][/ROW]
[ROW][C]0.4[/C][C]96078.6[/C][C]96909.2[/C][C]96125[/C][C]96125[/C][C]97693.4[/C][C]96125[/C][C]99261.8[/C][C]96125[/C][/ROW]
[ROW][C]0.41[/C][C]100052.97[/C][C]100069.78[/C][C]100087[/C][C]100087[/C][C]100077.16[/C][C]100046[/C][C]100063.22[/C][C]100087[/C][/ROW]
[ROW][C]0.42[/C][C]100229.02[/C][C]100339.48[/C][C]100350[/C][C]100350[/C][C]100433.64[/C][C]100350[/C][C]100097.52[/C][C]100350[/C][/ROW]
[ROW][C]0.43[/C][C]100984.27[/C][C]101160.9[/C][C]101047[/C][C]101047[/C][C]101207.8[/C][C]101047[/C][C]101268.1[/C][C]101047[/C][/ROW]
[ROW][C]0.44[/C][C]101451.16[/C][C]101559.84[/C][C]101629[/C][C]101629[/C][C]101589.48[/C][C]101382[/C][C]101451.16[/C][C]101629[/C][/ROW]
[ROW][C]0.45[/C][C]101915.65[/C][C]102078.3[/C][C]102070[/C][C]102070[/C][C]102086.6[/C][C]102070[/C][C]102144.7[/C][C]102070[/C][/ROW]
[ROW][C]0.46[/C][C]102166.18[/C][C]102469.32[/C][C]102812[/C][C]102812[/C][C]102522.04[/C][C]102153[/C][C]102495.68[/C][C]102153[/C][/ROW]
[ROW][C]0.47[/C][C]102899.75[/C][C]103005.5[/C][C]103037[/C][C]103037[/C][C]103019[/C][C]102812[/C][C]102843.5[/C][C]103037[/C][/ROW]
[ROW][C]0.48[/C][C]103106.92[/C][C]103169.32[/C][C]103129[/C][C]103129[/C][C]103176.04[/C][C]103129[/C][C]103256.68[/C][C]103129[/C][/ROW]
[ROW][C]0.49[/C][C]103378.64[/C][C]103686.36[/C][C]103925[/C][C]103925[/C][C]103698.92[/C][C]103297[/C][C]103535.64[/C][C]103925[/C][/ROW]
[ROW][C]0.5[/C][C]104026.5[/C][C]104128[/C][C]104128[/C][C]104128[/C][C]104128[/C][C]104128[/C][C]104128[/C][C]104128[/C][/ROW]
[ROW][C]0.51[/C][C]104522.11[/C][C]104651.68[/C][C]104581[/C][C]104581[/C][C]104647.96[/C][C]104581[/C][C]104696.32[/C][C]104581[/C][/ROW]
[ROW][C]0.52[/C][C]104817.64[/C][C]104927.36[/C][C]104978[/C][C]104978[/C][C]104918.92[/C][C]104767[/C][C]104817.64[/C][C]104978[/C][/ROW]
[ROW][C]0.53[/C][C]105039.61[/C][C]105508.38[/C][C]105079[/C][C]105079[/C][C]105324.36[/C][C]105079[/C][C]107716.62[/C][C]105079[/C][/ROW]
[ROW][C]0.54[/C][C]108084.66[/C][C]108348.28[/C][C]108146[/C][C]108146[/C][C]108317.16[/C][C]108146[/C][C]108332.72[/C][C]108535[/C][/ROW]
[ROW][C]0.55[/C][C]108848.95[/C][C]109342.3[/C][C]109432[/C][C]109432[/C][C]109252.6[/C][C]108535[/C][C]108624.7[/C][C]109432[/C][/ROW]
[ROW][C]0.56[/C][C]110171.44[/C][C]110478.6[/C][C]110459[/C][C]110459[/C][C]110470.2[/C][C]110459[/C][C]110509.4[/C][C]110459[/C][/ROW]
[ROW][C]0.57[/C][C]110670.21[/C][C]111564.54[/C][C]112098[/C][C]112098[/C][C]111344.88[/C][C]110529[/C][C]111062.46[/C][C]112098[/C][/ROW]
[ROW][C]0.58[/C][C]112191.84[/C][C]112307.16[/C][C]112302[/C][C]112302[/C][C]112277.52[/C][C]112098[/C][C]112425.84[/C][C]112302[/C][/ROW]
[ROW][C]0.59[/C][C]112409.07[/C][C]112814.46[/C][C]112431[/C][C]112431[/C][C]112650.12[/C][C]112431[/C][C]112960.54[/C][C]112431[/C][/ROW]
[ROW][C]0.6[/C][C]113547.2[/C][C]114156.8[/C][C]114360[/C][C]114360[/C][C]113953.6[/C][C]113344[/C][C]113547.2[/C][C]114360[/C][/ROW]
[ROW][C]0.61[/C][C]114610.23[/C][C]114825.82[/C][C]114799[/C][C]114799[/C][C]114781.44[/C][C]114799[/C][C]114921.18[/C][C]114799[/C][/ROW]
[ROW][C]0.62[/C][C]114939.06[/C][C]115574.08[/C][C]114948[/C][C]114948[/C][C]115305.76[/C][C]114948[/C][C]115439.92[/C][C]116066[/C][/ROW]
[ROW][C]0.63[/C][C]116491.94[/C][C]117357.56[/C][C]117440[/C][C]117440[/C][C]117000.32[/C][C]116066[/C][C]116148.44[/C][C]117440[/C][/ROW]
[ROW][C]0.64[/C][C]118436.88[/C][C]119077.52[/C][C]118906[/C][C]118906[/C][C]118927.44[/C][C]118906[/C][C]119270.48[/C][C]118906[/C][/ROW]
[ROW][C]0.65[/C][C]119479.5[/C][C]119967[/C][C]120192[/C][C]120192[/C][C]119742[/C][C]119442[/C][C]119667[/C][C]120192[/C][/ROW]
[ROW][C]0.66[/C][C]121595.64[/C][C]123578.4[/C][C]123534[/C][C]123534[/C][C]122731.92[/C][C]120192[/C][C]124044.6[/C][C]123534[/C][/ROW]
[ROW][C]0.67[/C][C]123972.45[/C][C]124545.32[/C][C]124089[/C][C]124089[/C][C]124208.04[/C][C]124089[/C][C]124624.68[/C][C]124089[/C][/ROW]
[ROW][C]0.68[/C][C]125129.8[/C][C]125337.2[/C][C]125386[/C][C]125386[/C][C]125227.4[/C][C]125081[/C][C]125129.8[/C][C]125386[/C][/ROW]
[ROW][C]0.69[/C][C]125614.96[/C][C]125939.88[/C][C]125818[/C][C]125818[/C][C]125748.88[/C][C]125818[/C][C]126250.12[/C][C]125818[/C][/ROW]
[ROW][C]0.7[/C][C]126316.6[/C][C]126639[/C][C]126372[/C][C]126372[/C][C]126461[/C][C]126372[/C][C]126550[/C][C]126817[/C][/ROW]
[ROW][C]0.71[/C][C]127042.99[/C][C]127637.26[/C][C]127654[/C][C]127654[/C][C]127285.72[/C][C]126817[/C][C]126833.74[/C][C]127654[/C][/ROW]
[ROW][C]0.72[/C][C]128318.32[/C][C]129548.8[/C][C]128692[/C][C]128692[/C][C]128608.96[/C][C]128692[/C][C]130215.2[/C][C]128692[/C][/ROW]
[ROW][C]0.73[/C][C]131101.75[/C][C]133273.5[/C][C]134047[/C][C]134047[/C][C]131905[/C][C]131072[/C][C]131845.5[/C][C]134047[/C][/ROW]
[ROW][C]0.74[/C][C]134119.58[/C][C]134372.16[/C][C]134238[/C][C]134238[/C][C]134169.24[/C][C]134047[/C][C]135221.84[/C][C]134238[/C][/ROW]
[ROW][C]0.75[/C][C]135076.5[/C][C]135972[/C][C]135356[/C][C]135356[/C][C]135356[/C][C]135356[/C][C]135972[/C][C]135972[/C][/ROW]
[ROW][C]0.76[/C][C]136897.24[/C][C]138855.76[/C][C]139165[/C][C]139165[/C][C]137515.72[/C][C]136588[/C][C]136897.24[/C][C]139165[/C][/ROW]
[ROW][C]0.77[/C][C]139581.5[/C][C]140104.18[/C][C]140015[/C][C]140015[/C][C]139777[/C][C]139165[/C][C]140268.82[/C][C]140015[/C][/ROW]
[ROW][C]0.78[/C][C]140309.98[/C][C]140656.24[/C][C]140358[/C][C]140358[/C][C]140395.28[/C][C]140358[/C][C]140525.76[/C][C]140824[/C][/ROW]
[ROW][C]0.79[/C][C]141460.64[/C][C]143605.04[/C][C]143592[/C][C]143592[/C][C]142041.92[/C][C]140824[/C][C]144230.96[/C][C]143592[/C][/ROW]
[ROW][C]0.8[/C][C]143983.2[/C][C]144309.6[/C][C]144244[/C][C]144244[/C][C]144113.6[/C][C]144244[/C][C]144342.4[/C][C]144244[/C][/ROW]
[ROW][C]0.81[/C][C]144403.08[/C][C]144519.54[/C][C]144408[/C][C]144408[/C][C]144430.88[/C][C]144408[/C][C]144439.46[/C][C]144551[/C][/ROW]
[ROW][C]0.82[/C][C]145302.06[/C][C]146794.4[/C][C]146760[/C][C]146760[/C][C]145699.68[/C][C]144551[/C][C]146940.6[/C][C]146760[/C][/ROW]
[ROW][C]0.83[/C][C]146912.65[/C][C]147081.38[/C][C]146975[/C][C]146975[/C][C]146949.2[/C][C]146975[/C][C]147065.62[/C][C]147172[/C][/ROW]
[ROW][C]0.84[/C][C]147373.84[/C][C]149493.16[/C][C]149695[/C][C]149695[/C][C]147777.52[/C][C]147172[/C][C]147373.84[/C][C]149695[/C][/ROW]
[ROW][C]0.85[/C][C]149813.8[/C][C]149985.4[/C][C]149959[/C][C]149959[/C][C]149853.4[/C][C]149695[/C][C]150020.6[/C][C]149959[/C][/ROW]
[ROW][C]0.86[/C][C]150031.16[/C][C]150348.92[/C][C]150047[/C][C]150047[/C][C]150043.48[/C][C]150047[/C][C]150189.08[/C][C]150491[/C][/ROW]
[ROW][C]0.87[/C][C]150723.56[/C][C]151726.76[/C][C]151715[/C][C]151715[/C][C]150882.68[/C][C]150491[/C][C]151899.24[/C][C]151715[/C][/ROW]
[ROW][C]0.88[/C][C]151824.76[/C][C]153028.6[/C][C]151911[/C][C]151911[/C][C]151848.28[/C][C]151911[/C][C]153333.4[/C][C]151911[/C][/ROW]
[ROW][C]0.89[/C][C]154273.2[/C][C]154713.4[/C][C]154451[/C][C]154451[/C][C]154463.8[/C][C]154451[/C][C]154508.6[/C][C]154771[/C][/ROW]
[ROW][C]0.9[/C][C]155244.4[/C][C]157107.4[/C][C]156349[/C][C]156349[/C][C]155402.2[/C][C]154771[/C][C]159382.6[/C][C]156349[/C][/ROW]
[ROW][C]0.91[/C][C]158889.64[/C][C]160582.38[/C][C]160141[/C][C]160141[/C][C]159230.92[/C][C]160141[/C][C]160460.62[/C][C]160902[/C][/ROW]
[ROW][C]0.92[/C][C]161102.08[/C][C]165703.92[/C][C]165904[/C][C]165904[/C][C]161502.24[/C][C]160902[/C][C]161102.08[/C][C]165904[/C][/ROW]
[ROW][C]0.93[/C][C]165915.89[/C][C]165951.02[/C][C]165933[/C][C]165933[/C][C]165917.92[/C][C]165904[/C][C]165967.98[/C][C]165933[/C][/ROW]
[ROW][C]0.94[/C][C]165974.34[/C][C]167399.36[/C][C]165986[/C][C]165986[/C][C]165977.52[/C][C]165986[/C][C]166535.64[/C][C]167949[/C][/ROW]
[ROW][C]0.95[/C][C]168146.4[/C][C]169309.2[/C][C]169265[/C][C]169265[/C][C]168212.2[/C][C]167949[/C][C]169662.8[/C][C]169265[/C][/ROW]
[ROW][C]0.96[/C][C]169494.84[/C][C]172835.64[/C][C]169707[/C][C]169707[/C][C]169512.52[/C][C]169707[/C][C]173096.36[/C][C]169707[/C][/ROW]
[ROW][C]0.97[/C][C]175508.02[/C][C]182481.5[/C][C]176225[/C][C]176225[/C][C]175703.56[/C][C]176225[/C][C]177243.5[/C][C]183500[/C][/ROW]
[ROW][C]0.98[/C][C]183869.98[/C][C]185499.72[/C][C]184923[/C][C]184923[/C][C]183898.44[/C][C]183500[/C][C]186749.28[/C][C]184923[/C][/ROW]
[ROW][C]0.99[/C][C]186436.89[/C][C]193588[/C][C]187326[/C][C]187326[/C][C]186460.92[/C][C]187326[/C][C]191164[/C][C]197426[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160575&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160575&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)
0.0137157.3637158.64372383723837761.443711037189.3637110
0.0238313.9638343.04386923869242333.763869237586.9638692
0.0343769.6943775.06439294392944072.64375043903.9443750
0.0444790.644862.4457244572446738.24392944790.645724
0.0547683.2547798.54802948029518374802945954.548029
0.0653477.3853665.12559185591856030.645278955041.8852789
0.0756333.3656382.64566225662256688.565662256157.3656622
0.0856744.8856768.96567505675057167.125675057205.0456750
0.0958107.0858347.92599005990059909.125722458776.0857224
0.159926.659930.4599385993862687.25993859907.659938
0.1164525.1164533.14645936459364590.086452064579.8664520
0.1265033.4465153.56655946559465752.46459365033.4465594
0.1365994.9566059.3660896608966358.286608965623.766089
0.1466604.766697.8671506715067215.526648566937.266485
0.1568050.968296.6687886878868851.26878867641.468788
0.1668933.3668986689466894669326689466940668946
0.1769505.7469540.76696526965269677.86944669557.2469446
0.1869793.969832.6698676986770011.486986769686.469867
0.1970197.5870384.92711547115470996.247016870937.0870168
0.271320.871404.2715717157171682.47115471320.871571
0.2171999.8972116.86721287212874393.27212871582.1472128
0.2276570.3277194.68790117901178783.967617377989.3276173
0.2379050.7879068.72790897908979275.767908979031.2879089
0.2479675.9679947.4797567975680776.87975681159.679756
0.2581419.581488816258162581625813518148881488
0.2681793.6481864.36818978189782048.28189781657.6481897
0.2782312.882557.76823178231782983.728231783002.2482317
0.2883244.883246.2832488324883269.368324383244.883248
0.2983442.9183536.72835158351583992.848351584579.2883515
0.384806.185421.4866528665286241.88460185831.684601
0.3187744.7588465.5889778897789021.648665287163.588977
0.3289211.3689296892568925689386892568946689256
0.3389531.289570.8896268962689611.68950689561.289626
0.3491037.1491864.36920599205992112.049205989820.6492059
0.3592268.9592382.6922809228092485.29228092519.492280
0.3692894.3293200.68934739347393438.969262292894.3293473
0.3793482.6693510.52934879348793612.449348793855.4893487
0.3893986.8294669.68956769567695100.969387994885.3293879
0.3995769.3195853.94958939589395902.289567695715.0695893
0.496078.696909.2961259612597693.49612599261.896125
0.41100052.97100069.78100087100087100077.16100046100063.22100087
0.42100229.02100339.48100350100350100433.64100350100097.52100350
0.43100984.27101160.9101047101047101207.8101047101268.1101047
0.44101451.16101559.84101629101629101589.48101382101451.16101629
0.45101915.65102078.3102070102070102086.6102070102144.7102070
0.46102166.18102469.32102812102812102522.04102153102495.68102153
0.47102899.75103005.5103037103037103019102812102843.5103037
0.48103106.92103169.32103129103129103176.04103129103256.68103129
0.49103378.64103686.36103925103925103698.92103297103535.64103925
0.5104026.5104128104128104128104128104128104128104128
0.51104522.11104651.68104581104581104647.96104581104696.32104581
0.52104817.64104927.36104978104978104918.92104767104817.64104978
0.53105039.61105508.38105079105079105324.36105079107716.62105079
0.54108084.66108348.28108146108146108317.16108146108332.72108535
0.55108848.95109342.3109432109432109252.6108535108624.7109432
0.56110171.44110478.6110459110459110470.2110459110509.4110459
0.57110670.21111564.54112098112098111344.88110529111062.46112098
0.58112191.84112307.16112302112302112277.52112098112425.84112302
0.59112409.07112814.46112431112431112650.12112431112960.54112431
0.6113547.2114156.8114360114360113953.6113344113547.2114360
0.61114610.23114825.82114799114799114781.44114799114921.18114799
0.62114939.06115574.08114948114948115305.76114948115439.92116066
0.63116491.94117357.56117440117440117000.32116066116148.44117440
0.64118436.88119077.52118906118906118927.44118906119270.48118906
0.65119479.5119967120192120192119742119442119667120192
0.66121595.64123578.4123534123534122731.92120192124044.6123534
0.67123972.45124545.32124089124089124208.04124089124624.68124089
0.68125129.8125337.2125386125386125227.4125081125129.8125386
0.69125614.96125939.88125818125818125748.88125818126250.12125818
0.7126316.6126639126372126372126461126372126550126817
0.71127042.99127637.26127654127654127285.72126817126833.74127654
0.72128318.32129548.8128692128692128608.96128692130215.2128692
0.73131101.75133273.5134047134047131905131072131845.5134047
0.74134119.58134372.16134238134238134169.24134047135221.84134238
0.75135076.5135972135356135356135356135356135972135972
0.76136897.24138855.76139165139165137515.72136588136897.24139165
0.77139581.5140104.18140015140015139777139165140268.82140015
0.78140309.98140656.24140358140358140395.28140358140525.76140824
0.79141460.64143605.04143592143592142041.92140824144230.96143592
0.8143983.2144309.6144244144244144113.6144244144342.4144244
0.81144403.08144519.54144408144408144430.88144408144439.46144551
0.82145302.06146794.4146760146760145699.68144551146940.6146760
0.83146912.65147081.38146975146975146949.2146975147065.62147172
0.84147373.84149493.16149695149695147777.52147172147373.84149695
0.85149813.8149985.4149959149959149853.4149695150020.6149959
0.86150031.16150348.92150047150047150043.48150047150189.08150491
0.87150723.56151726.76151715151715150882.68150491151899.24151715
0.88151824.76153028.6151911151911151848.28151911153333.4151911
0.89154273.2154713.4154451154451154463.8154451154508.6154771
0.9155244.4157107.4156349156349155402.2154771159382.6156349
0.91158889.64160582.38160141160141159230.92160141160460.62160902
0.92161102.08165703.92165904165904161502.24160902161102.08165904
0.93165915.89165951.02165933165933165917.92165904165967.98165933
0.94165974.34167399.36165986165986165977.52165986166535.64167949
0.95168146.4169309.2169265169265168212.2167949169662.8169265
0.96169494.84172835.64169707169707169512.52169707173096.36169707
0.97175508.02182481.5176225176225175703.56176225177243.5183500
0.98183869.98185499.72184923184923183898.44183500186749.28184923
0.99186436.89193588187326187326186460.92187326191164197426



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')