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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationFri, 18 Dec 2009 06:48:29 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/18/t1261144144x5zemgfveeu4dn1.htm/, Retrieved Sat, 27 Apr 2024 12:12:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69326, Retrieved Sat, 27 Apr 2024 12:12:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
F RMPD  [Univariate Explorative Data Analysis] [Colombia Coffee] [2008-01-07 14:21:11] [74be16979710d4c4e7c6647856088456]
F RMPD    [Univariate Data Series] [] [2009-10-14 08:30:28] [74be16979710d4c4e7c6647856088456]
- RMPD        [Percentiles] [perc paper] [2009-12-18 13:48:29] [f47dffd5f5a8c03c3681db4cc9472742] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
286.445
288.576
293.299
295.881
292.710
271.993
267.430
273.963
273.046
268.347
264.319
255.765
246.263
245.098
246.969
248.333
247.934
226.839
225.554
237.085
237.080
245.039
248.541
247.105
243.422
250.643
254.663
260.993
258.556
235.372
246.057
253.353
255.198
264.176
269.034
265.861
269.826
278.506
292.300
290.726
289.802
271.311
274.352
275.216
276.836
280.408
280.190
282.656
281.477
288.186
292.300
291.186
287.259
264.993
267.140
270.150
275.037
277.103
277.128
277.915
276.687

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69326&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69326&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69326&T=0

As an alternative you can also use a QR Code:  
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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






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)
0.02225.8367225.8624226.839226.839228.5456225.554226.5306225.554
0.04230.59352230.93484235.372235.372236.0552226.839231.27616226.839
0.06236.49928236.60176237.08237.08237.083237.08235.85024237.08
0.08237.0844237.0848237.085237.085242.1546237.085237.0802237.085
0.1243.5837243.7454245.039245.039245.039243.422244.7156243.422
0.12245.05788245.06496245.098245.098245.2898245.039245.07204245.039
0.14245.61586245.75012246.057246.057246.1394246.057245.40488246.057
0.16246.21356246.24652246.263246.263246.6866246.263246.07348246.263
0.18246.95488246.99076246.969246.969247.0778246.969247.08324246.969
0.2247.2708247.4366247.934247.934247.934247.105247.6024247.105
0.22248.10158248.18936248.333248.333248.3746247.934248.07764248.333
0.24248.46612248.51604248.541248.541249.3818248.541248.35796248.541
0.26250.34872250.9682250.643250.643252.269250.643253.0278250.643
0.28253.4578253.8246254.663254.663254.401253.353254.1914253.353
0.3254.8235254.984255.198255.198255.198254.663254.877255.198
0.32255.49284255.67428255.765255.765256.3232255.765255.28872255.765
0.34257.83034258.75096258.556258.556259.5308258.556260.79804258.556
0.36260.89552262.01156260.993260.993262.9028260.993263.15744260.993
0.38264.20174264.25608264.319264.319264.2904264.176264.23892264.319
0.4264.5886264.8582264.993264.993264.993264.319264.4538264.993
0.42265.53116265.91216265.861265.861266.1168265.861267.08884265.861
0.44266.93536267.2212267.14267.14267.256267.14267.3488267.14
0.46267.48502267.90684268.347268.347267.9802267.43267.87016268.347
0.48268.53936268.86912269.034269.034268.8966268.347268.51188269.034
0.5269.43269.826269.826269.826269.826269.826269.826269.826
0.52270.05928270.42864270.15270.15270.3822270.15271.03236270.15
0.54271.24134271.63836271.311271.311271.5838271.311271.66564271.311
0.56272.16148272.75116273.046273.046272.6248271.993272.28784273.046
0.58273.39446273.92632273.963273.963273.7796273.046273.08268273.963
0.6274.1964274.489274.352274.352274.352274.352274.9274.352
0.62274.9137275.11576275.037275.037275.0728275.037275.13724275.037
0.64275.27484276.21628276.687276.687275.8044275.216275.68672276.687
0.66276.72574276.82408276.836276.836276.7764276.687276.69892276.836
0.68276.96416277.107277.103277.103277.0496276.836277.124277.103
0.7277.1205277.4428277.128277.128277.128277.128277.6002277.128
0.72277.85204278.29324277.915277.915278.0332277.915278.12776278.506
0.74278.74176279.98792280.19280.19279.1796278.506278.70808280.19
0.76280.26848280.53628280.408280.408280.3208280.19281.34872280.408
0.78281.02802281.90144281.477281.477281.2632281.477282.23156281.477
0.8282.4202284.9294282.656282.656282.656282.656284.1716286.445
0.82286.46128287.12876287.259287.259286.6078286.445286.57524287.259
0.84287.48148288.2172288.186288.186287.6298287.259288.5448288.186
0.86288.3654288.96832288.576288.576288.42288.186289.40968288.576
0.88289.40968290.31944289.802289.802289.5568289.802290.20856290.726
0.9290.6336291.094290.726290.726290.726290.726290.818291.186
0.92291.31968292.3292.3292.3291.4088291.186292.3292.3
0.94292.3292.4148292.3292.3292.3292.3292.5952292.3
0.96292.5296293.01628292.71292.71292.546292.71292.99272293.299
0.98293.16942295.26132293.299293.299293.1812293.299293.91868295.881

\begin{tabular}{lllllllll}
\hline
Percentiles - Ungrouped Data \tabularnewline
p & Weighted Average at Xnp & Weighted Average at X(n+1)p & Empirical Distribution Function & Empirical Distribution Function - Averaging & Empirical Distribution Function - Interpolation & Closest Observation & True Basic - Statistics Graphics Toolkit & MS Excel (old versions) \tabularnewline
0.02 & 225.8367 & 225.8624 & 226.839 & 226.839 & 228.5456 & 225.554 & 226.5306 & 225.554 \tabularnewline
0.04 & 230.59352 & 230.93484 & 235.372 & 235.372 & 236.0552 & 226.839 & 231.27616 & 226.839 \tabularnewline
0.06 & 236.49928 & 236.60176 & 237.08 & 237.08 & 237.083 & 237.08 & 235.85024 & 237.08 \tabularnewline
0.08 & 237.0844 & 237.0848 & 237.085 & 237.085 & 242.1546 & 237.085 & 237.0802 & 237.085 \tabularnewline
0.1 & 243.5837 & 243.7454 & 245.039 & 245.039 & 245.039 & 243.422 & 244.7156 & 243.422 \tabularnewline
0.12 & 245.05788 & 245.06496 & 245.098 & 245.098 & 245.2898 & 245.039 & 245.07204 & 245.039 \tabularnewline
0.14 & 245.61586 & 245.75012 & 246.057 & 246.057 & 246.1394 & 246.057 & 245.40488 & 246.057 \tabularnewline
0.16 & 246.21356 & 246.24652 & 246.263 & 246.263 & 246.6866 & 246.263 & 246.07348 & 246.263 \tabularnewline
0.18 & 246.95488 & 246.99076 & 246.969 & 246.969 & 247.0778 & 246.969 & 247.08324 & 246.969 \tabularnewline
0.2 & 247.2708 & 247.4366 & 247.934 & 247.934 & 247.934 & 247.105 & 247.6024 & 247.105 \tabularnewline
0.22 & 248.10158 & 248.18936 & 248.333 & 248.333 & 248.3746 & 247.934 & 248.07764 & 248.333 \tabularnewline
0.24 & 248.46612 & 248.51604 & 248.541 & 248.541 & 249.3818 & 248.541 & 248.35796 & 248.541 \tabularnewline
0.26 & 250.34872 & 250.9682 & 250.643 & 250.643 & 252.269 & 250.643 & 253.0278 & 250.643 \tabularnewline
0.28 & 253.4578 & 253.8246 & 254.663 & 254.663 & 254.401 & 253.353 & 254.1914 & 253.353 \tabularnewline
0.3 & 254.8235 & 254.984 & 255.198 & 255.198 & 255.198 & 254.663 & 254.877 & 255.198 \tabularnewline
0.32 & 255.49284 & 255.67428 & 255.765 & 255.765 & 256.3232 & 255.765 & 255.28872 & 255.765 \tabularnewline
0.34 & 257.83034 & 258.75096 & 258.556 & 258.556 & 259.5308 & 258.556 & 260.79804 & 258.556 \tabularnewline
0.36 & 260.89552 & 262.01156 & 260.993 & 260.993 & 262.9028 & 260.993 & 263.15744 & 260.993 \tabularnewline
0.38 & 264.20174 & 264.25608 & 264.319 & 264.319 & 264.2904 & 264.176 & 264.23892 & 264.319 \tabularnewline
0.4 & 264.5886 & 264.8582 & 264.993 & 264.993 & 264.993 & 264.319 & 264.4538 & 264.993 \tabularnewline
0.42 & 265.53116 & 265.91216 & 265.861 & 265.861 & 266.1168 & 265.861 & 267.08884 & 265.861 \tabularnewline
0.44 & 266.93536 & 267.2212 & 267.14 & 267.14 & 267.256 & 267.14 & 267.3488 & 267.14 \tabularnewline
0.46 & 267.48502 & 267.90684 & 268.347 & 268.347 & 267.9802 & 267.43 & 267.87016 & 268.347 \tabularnewline
0.48 & 268.53936 & 268.86912 & 269.034 & 269.034 & 268.8966 & 268.347 & 268.51188 & 269.034 \tabularnewline
0.5 & 269.43 & 269.826 & 269.826 & 269.826 & 269.826 & 269.826 & 269.826 & 269.826 \tabularnewline
0.52 & 270.05928 & 270.42864 & 270.15 & 270.15 & 270.3822 & 270.15 & 271.03236 & 270.15 \tabularnewline
0.54 & 271.24134 & 271.63836 & 271.311 & 271.311 & 271.5838 & 271.311 & 271.66564 & 271.311 \tabularnewline
0.56 & 272.16148 & 272.75116 & 273.046 & 273.046 & 272.6248 & 271.993 & 272.28784 & 273.046 \tabularnewline
0.58 & 273.39446 & 273.92632 & 273.963 & 273.963 & 273.7796 & 273.046 & 273.08268 & 273.963 \tabularnewline
0.6 & 274.1964 & 274.489 & 274.352 & 274.352 & 274.352 & 274.352 & 274.9 & 274.352 \tabularnewline
0.62 & 274.9137 & 275.11576 & 275.037 & 275.037 & 275.0728 & 275.037 & 275.13724 & 275.037 \tabularnewline
0.64 & 275.27484 & 276.21628 & 276.687 & 276.687 & 275.8044 & 275.216 & 275.68672 & 276.687 \tabularnewline
0.66 & 276.72574 & 276.82408 & 276.836 & 276.836 & 276.7764 & 276.687 & 276.69892 & 276.836 \tabularnewline
0.68 & 276.96416 & 277.107 & 277.103 & 277.103 & 277.0496 & 276.836 & 277.124 & 277.103 \tabularnewline
0.7 & 277.1205 & 277.4428 & 277.128 & 277.128 & 277.128 & 277.128 & 277.6002 & 277.128 \tabularnewline
0.72 & 277.85204 & 278.29324 & 277.915 & 277.915 & 278.0332 & 277.915 & 278.12776 & 278.506 \tabularnewline
0.74 & 278.74176 & 279.98792 & 280.19 & 280.19 & 279.1796 & 278.506 & 278.70808 & 280.19 \tabularnewline
0.76 & 280.26848 & 280.53628 & 280.408 & 280.408 & 280.3208 & 280.19 & 281.34872 & 280.408 \tabularnewline
0.78 & 281.02802 & 281.90144 & 281.477 & 281.477 & 281.2632 & 281.477 & 282.23156 & 281.477 \tabularnewline
0.8 & 282.4202 & 284.9294 & 282.656 & 282.656 & 282.656 & 282.656 & 284.1716 & 286.445 \tabularnewline
0.82 & 286.46128 & 287.12876 & 287.259 & 287.259 & 286.6078 & 286.445 & 286.57524 & 287.259 \tabularnewline
0.84 & 287.48148 & 288.2172 & 288.186 & 288.186 & 287.6298 & 287.259 & 288.5448 & 288.186 \tabularnewline
0.86 & 288.3654 & 288.96832 & 288.576 & 288.576 & 288.42 & 288.186 & 289.40968 & 288.576 \tabularnewline
0.88 & 289.40968 & 290.31944 & 289.802 & 289.802 & 289.5568 & 289.802 & 290.20856 & 290.726 \tabularnewline
0.9 & 290.6336 & 291.094 & 290.726 & 290.726 & 290.726 & 290.726 & 290.818 & 291.186 \tabularnewline
0.92 & 291.31968 & 292.3 & 292.3 & 292.3 & 291.4088 & 291.186 & 292.3 & 292.3 \tabularnewline
0.94 & 292.3 & 292.4148 & 292.3 & 292.3 & 292.3 & 292.3 & 292.5952 & 292.3 \tabularnewline
0.96 & 292.5296 & 293.01628 & 292.71 & 292.71 & 292.546 & 292.71 & 292.99272 & 293.299 \tabularnewline
0.98 & 293.16942 & 295.26132 & 293.299 & 293.299 & 293.1812 & 293.299 & 293.91868 & 295.881 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69326&T=1

[TABLE]
[ROW][C]Percentiles - Ungrouped Data[/C][/ROW]
[ROW][C]p[/C][C]Weighted Average at Xnp[/C][C]Weighted Average at X(n+1)p[/C][C]Empirical Distribution Function[/C][C]Empirical Distribution Function - Averaging[/C][C]Empirical Distribution Function - Interpolation[/C][C]Closest Observation[/C][C]True Basic - Statistics Graphics Toolkit[/C][C]MS Excel (old versions)[/C][/ROW]
[ROW][C]0.02[/C][C]225.8367[/C][C]225.8624[/C][C]226.839[/C][C]226.839[/C][C]228.5456[/C][C]225.554[/C][C]226.5306[/C][C]225.554[/C][/ROW]
[ROW][C]0.04[/C][C]230.59352[/C][C]230.93484[/C][C]235.372[/C][C]235.372[/C][C]236.0552[/C][C]226.839[/C][C]231.27616[/C][C]226.839[/C][/ROW]
[ROW][C]0.06[/C][C]236.49928[/C][C]236.60176[/C][C]237.08[/C][C]237.08[/C][C]237.083[/C][C]237.08[/C][C]235.85024[/C][C]237.08[/C][/ROW]
[ROW][C]0.08[/C][C]237.0844[/C][C]237.0848[/C][C]237.085[/C][C]237.085[/C][C]242.1546[/C][C]237.085[/C][C]237.0802[/C][C]237.085[/C][/ROW]
[ROW][C]0.1[/C][C]243.5837[/C][C]243.7454[/C][C]245.039[/C][C]245.039[/C][C]245.039[/C][C]243.422[/C][C]244.7156[/C][C]243.422[/C][/ROW]
[ROW][C]0.12[/C][C]245.05788[/C][C]245.06496[/C][C]245.098[/C][C]245.098[/C][C]245.2898[/C][C]245.039[/C][C]245.07204[/C][C]245.039[/C][/ROW]
[ROW][C]0.14[/C][C]245.61586[/C][C]245.75012[/C][C]246.057[/C][C]246.057[/C][C]246.1394[/C][C]246.057[/C][C]245.40488[/C][C]246.057[/C][/ROW]
[ROW][C]0.16[/C][C]246.21356[/C][C]246.24652[/C][C]246.263[/C][C]246.263[/C][C]246.6866[/C][C]246.263[/C][C]246.07348[/C][C]246.263[/C][/ROW]
[ROW][C]0.18[/C][C]246.95488[/C][C]246.99076[/C][C]246.969[/C][C]246.969[/C][C]247.0778[/C][C]246.969[/C][C]247.08324[/C][C]246.969[/C][/ROW]
[ROW][C]0.2[/C][C]247.2708[/C][C]247.4366[/C][C]247.934[/C][C]247.934[/C][C]247.934[/C][C]247.105[/C][C]247.6024[/C][C]247.105[/C][/ROW]
[ROW][C]0.22[/C][C]248.10158[/C][C]248.18936[/C][C]248.333[/C][C]248.333[/C][C]248.3746[/C][C]247.934[/C][C]248.07764[/C][C]248.333[/C][/ROW]
[ROW][C]0.24[/C][C]248.46612[/C][C]248.51604[/C][C]248.541[/C][C]248.541[/C][C]249.3818[/C][C]248.541[/C][C]248.35796[/C][C]248.541[/C][/ROW]
[ROW][C]0.26[/C][C]250.34872[/C][C]250.9682[/C][C]250.643[/C][C]250.643[/C][C]252.269[/C][C]250.643[/C][C]253.0278[/C][C]250.643[/C][/ROW]
[ROW][C]0.28[/C][C]253.4578[/C][C]253.8246[/C][C]254.663[/C][C]254.663[/C][C]254.401[/C][C]253.353[/C][C]254.1914[/C][C]253.353[/C][/ROW]
[ROW][C]0.3[/C][C]254.8235[/C][C]254.984[/C][C]255.198[/C][C]255.198[/C][C]255.198[/C][C]254.663[/C][C]254.877[/C][C]255.198[/C][/ROW]
[ROW][C]0.32[/C][C]255.49284[/C][C]255.67428[/C][C]255.765[/C][C]255.765[/C][C]256.3232[/C][C]255.765[/C][C]255.28872[/C][C]255.765[/C][/ROW]
[ROW][C]0.34[/C][C]257.83034[/C][C]258.75096[/C][C]258.556[/C][C]258.556[/C][C]259.5308[/C][C]258.556[/C][C]260.79804[/C][C]258.556[/C][/ROW]
[ROW][C]0.36[/C][C]260.89552[/C][C]262.01156[/C][C]260.993[/C][C]260.993[/C][C]262.9028[/C][C]260.993[/C][C]263.15744[/C][C]260.993[/C][/ROW]
[ROW][C]0.38[/C][C]264.20174[/C][C]264.25608[/C][C]264.319[/C][C]264.319[/C][C]264.2904[/C][C]264.176[/C][C]264.23892[/C][C]264.319[/C][/ROW]
[ROW][C]0.4[/C][C]264.5886[/C][C]264.8582[/C][C]264.993[/C][C]264.993[/C][C]264.993[/C][C]264.319[/C][C]264.4538[/C][C]264.993[/C][/ROW]
[ROW][C]0.42[/C][C]265.53116[/C][C]265.91216[/C][C]265.861[/C][C]265.861[/C][C]266.1168[/C][C]265.861[/C][C]267.08884[/C][C]265.861[/C][/ROW]
[ROW][C]0.44[/C][C]266.93536[/C][C]267.2212[/C][C]267.14[/C][C]267.14[/C][C]267.256[/C][C]267.14[/C][C]267.3488[/C][C]267.14[/C][/ROW]
[ROW][C]0.46[/C][C]267.48502[/C][C]267.90684[/C][C]268.347[/C][C]268.347[/C][C]267.9802[/C][C]267.43[/C][C]267.87016[/C][C]268.347[/C][/ROW]
[ROW][C]0.48[/C][C]268.53936[/C][C]268.86912[/C][C]269.034[/C][C]269.034[/C][C]268.8966[/C][C]268.347[/C][C]268.51188[/C][C]269.034[/C][/ROW]
[ROW][C]0.5[/C][C]269.43[/C][C]269.826[/C][C]269.826[/C][C]269.826[/C][C]269.826[/C][C]269.826[/C][C]269.826[/C][C]269.826[/C][/ROW]
[ROW][C]0.52[/C][C]270.05928[/C][C]270.42864[/C][C]270.15[/C][C]270.15[/C][C]270.3822[/C][C]270.15[/C][C]271.03236[/C][C]270.15[/C][/ROW]
[ROW][C]0.54[/C][C]271.24134[/C][C]271.63836[/C][C]271.311[/C][C]271.311[/C][C]271.5838[/C][C]271.311[/C][C]271.66564[/C][C]271.311[/C][/ROW]
[ROW][C]0.56[/C][C]272.16148[/C][C]272.75116[/C][C]273.046[/C][C]273.046[/C][C]272.6248[/C][C]271.993[/C][C]272.28784[/C][C]273.046[/C][/ROW]
[ROW][C]0.58[/C][C]273.39446[/C][C]273.92632[/C][C]273.963[/C][C]273.963[/C][C]273.7796[/C][C]273.046[/C][C]273.08268[/C][C]273.963[/C][/ROW]
[ROW][C]0.6[/C][C]274.1964[/C][C]274.489[/C][C]274.352[/C][C]274.352[/C][C]274.352[/C][C]274.352[/C][C]274.9[/C][C]274.352[/C][/ROW]
[ROW][C]0.62[/C][C]274.9137[/C][C]275.11576[/C][C]275.037[/C][C]275.037[/C][C]275.0728[/C][C]275.037[/C][C]275.13724[/C][C]275.037[/C][/ROW]
[ROW][C]0.64[/C][C]275.27484[/C][C]276.21628[/C][C]276.687[/C][C]276.687[/C][C]275.8044[/C][C]275.216[/C][C]275.68672[/C][C]276.687[/C][/ROW]
[ROW][C]0.66[/C][C]276.72574[/C][C]276.82408[/C][C]276.836[/C][C]276.836[/C][C]276.7764[/C][C]276.687[/C][C]276.69892[/C][C]276.836[/C][/ROW]
[ROW][C]0.68[/C][C]276.96416[/C][C]277.107[/C][C]277.103[/C][C]277.103[/C][C]277.0496[/C][C]276.836[/C][C]277.124[/C][C]277.103[/C][/ROW]
[ROW][C]0.7[/C][C]277.1205[/C][C]277.4428[/C][C]277.128[/C][C]277.128[/C][C]277.128[/C][C]277.128[/C][C]277.6002[/C][C]277.128[/C][/ROW]
[ROW][C]0.72[/C][C]277.85204[/C][C]278.29324[/C][C]277.915[/C][C]277.915[/C][C]278.0332[/C][C]277.915[/C][C]278.12776[/C][C]278.506[/C][/ROW]
[ROW][C]0.74[/C][C]278.74176[/C][C]279.98792[/C][C]280.19[/C][C]280.19[/C][C]279.1796[/C][C]278.506[/C][C]278.70808[/C][C]280.19[/C][/ROW]
[ROW][C]0.76[/C][C]280.26848[/C][C]280.53628[/C][C]280.408[/C][C]280.408[/C][C]280.3208[/C][C]280.19[/C][C]281.34872[/C][C]280.408[/C][/ROW]
[ROW][C]0.78[/C][C]281.02802[/C][C]281.90144[/C][C]281.477[/C][C]281.477[/C][C]281.2632[/C][C]281.477[/C][C]282.23156[/C][C]281.477[/C][/ROW]
[ROW][C]0.8[/C][C]282.4202[/C][C]284.9294[/C][C]282.656[/C][C]282.656[/C][C]282.656[/C][C]282.656[/C][C]284.1716[/C][C]286.445[/C][/ROW]
[ROW][C]0.82[/C][C]286.46128[/C][C]287.12876[/C][C]287.259[/C][C]287.259[/C][C]286.6078[/C][C]286.445[/C][C]286.57524[/C][C]287.259[/C][/ROW]
[ROW][C]0.84[/C][C]287.48148[/C][C]288.2172[/C][C]288.186[/C][C]288.186[/C][C]287.6298[/C][C]287.259[/C][C]288.5448[/C][C]288.186[/C][/ROW]
[ROW][C]0.86[/C][C]288.3654[/C][C]288.96832[/C][C]288.576[/C][C]288.576[/C][C]288.42[/C][C]288.186[/C][C]289.40968[/C][C]288.576[/C][/ROW]
[ROW][C]0.88[/C][C]289.40968[/C][C]290.31944[/C][C]289.802[/C][C]289.802[/C][C]289.5568[/C][C]289.802[/C][C]290.20856[/C][C]290.726[/C][/ROW]
[ROW][C]0.9[/C][C]290.6336[/C][C]291.094[/C][C]290.726[/C][C]290.726[/C][C]290.726[/C][C]290.726[/C][C]290.818[/C][C]291.186[/C][/ROW]
[ROW][C]0.92[/C][C]291.31968[/C][C]292.3[/C][C]292.3[/C][C]292.3[/C][C]291.4088[/C][C]291.186[/C][C]292.3[/C][C]292.3[/C][/ROW]
[ROW][C]0.94[/C][C]292.3[/C][C]292.4148[/C][C]292.3[/C][C]292.3[/C][C]292.3[/C][C]292.3[/C][C]292.5952[/C][C]292.3[/C][/ROW]
[ROW][C]0.96[/C][C]292.5296[/C][C]293.01628[/C][C]292.71[/C][C]292.71[/C][C]292.546[/C][C]292.71[/C][C]292.99272[/C][C]293.299[/C][/ROW]
[ROW][C]0.98[/C][C]293.16942[/C][C]295.26132[/C][C]293.299[/C][C]293.299[/C][C]293.1812[/C][C]293.299[/C][C]293.91868[/C][C]295.881[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69326&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69326&T=1

As an alternative you can also use a QR Code:  
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)
0.02225.8367225.8624226.839226.839228.5456225.554226.5306225.554
0.04230.59352230.93484235.372235.372236.0552226.839231.27616226.839
0.06236.49928236.60176237.08237.08237.083237.08235.85024237.08
0.08237.0844237.0848237.085237.085242.1546237.085237.0802237.085
0.1243.5837243.7454245.039245.039245.039243.422244.7156243.422
0.12245.05788245.06496245.098245.098245.2898245.039245.07204245.039
0.14245.61586245.75012246.057246.057246.1394246.057245.40488246.057
0.16246.21356246.24652246.263246.263246.6866246.263246.07348246.263
0.18246.95488246.99076246.969246.969247.0778246.969247.08324246.969
0.2247.2708247.4366247.934247.934247.934247.105247.6024247.105
0.22248.10158248.18936248.333248.333248.3746247.934248.07764248.333
0.24248.46612248.51604248.541248.541249.3818248.541248.35796248.541
0.26250.34872250.9682250.643250.643252.269250.643253.0278250.643
0.28253.4578253.8246254.663254.663254.401253.353254.1914253.353
0.3254.8235254.984255.198255.198255.198254.663254.877255.198
0.32255.49284255.67428255.765255.765256.3232255.765255.28872255.765
0.34257.83034258.75096258.556258.556259.5308258.556260.79804258.556
0.36260.89552262.01156260.993260.993262.9028260.993263.15744260.993
0.38264.20174264.25608264.319264.319264.2904264.176264.23892264.319
0.4264.5886264.8582264.993264.993264.993264.319264.4538264.993
0.42265.53116265.91216265.861265.861266.1168265.861267.08884265.861
0.44266.93536267.2212267.14267.14267.256267.14267.3488267.14
0.46267.48502267.90684268.347268.347267.9802267.43267.87016268.347
0.48268.53936268.86912269.034269.034268.8966268.347268.51188269.034
0.5269.43269.826269.826269.826269.826269.826269.826269.826
0.52270.05928270.42864270.15270.15270.3822270.15271.03236270.15
0.54271.24134271.63836271.311271.311271.5838271.311271.66564271.311
0.56272.16148272.75116273.046273.046272.6248271.993272.28784273.046
0.58273.39446273.92632273.963273.963273.7796273.046273.08268273.963
0.6274.1964274.489274.352274.352274.352274.352274.9274.352
0.62274.9137275.11576275.037275.037275.0728275.037275.13724275.037
0.64275.27484276.21628276.687276.687275.8044275.216275.68672276.687
0.66276.72574276.82408276.836276.836276.7764276.687276.69892276.836
0.68276.96416277.107277.103277.103277.0496276.836277.124277.103
0.7277.1205277.4428277.128277.128277.128277.128277.6002277.128
0.72277.85204278.29324277.915277.915278.0332277.915278.12776278.506
0.74278.74176279.98792280.19280.19279.1796278.506278.70808280.19
0.76280.26848280.53628280.408280.408280.3208280.19281.34872280.408
0.78281.02802281.90144281.477281.477281.2632281.477282.23156281.477
0.8282.4202284.9294282.656282.656282.656282.656284.1716286.445
0.82286.46128287.12876287.259287.259286.6078286.445286.57524287.259
0.84287.48148288.2172288.186288.186287.6298287.259288.5448288.186
0.86288.3654288.96832288.576288.576288.42288.186289.40968288.576
0.88289.40968290.31944289.802289.802289.5568289.802290.20856290.726
0.9290.6336291.094290.726290.726290.726290.726290.818291.186
0.92291.31968292.3292.3292.3291.4088291.186292.3292.3
0.94292.3292.4148292.3292.3292.3292.3292.5952292.3
0.96292.5296293.01628292.71292.71292.546292.71292.99272293.299
0.98293.16942295.26132293.299293.299293.1812293.299293.91868295.881


Figures (Output of Computation)

Input Parameters & R Code

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')