Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationThu, 13 Nov 2008 15:34:42 -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/2008/Nov/13/t1226615775tfcvbosmmuv1gl9.htm/, Retrieved Mon, 20 May 2024 09:45:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24872, Retrieved Mon, 20 May 2024 09:45:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Percentiles] [] [2008-11-13 22:34:42] [0655940460a4fd80d3d4d54548b75d49] [Current]
Feedback Forum
2008-11-19 14:52:53 [Sam De Cuyper] [reply
Foute berekening. De bedoeling was om de Normal Distribution te berekenen.
2008-11-24 19:06:37 [Birgit Van Dyck] [reply
Dit is een foute berekening. De student moest gebruik maken van de ' Maximum-likelihood normal distribution fitting'.
2008-11-24 19:43:01 [Jasmine Hendrikx] [reply
Evaluatie Q5:
Deze vraag is met de verkeerde module opgelost. Je moet gebruik maken van de ‘Maximum-likelihood Normal distribution fitting', zoals in de vraag vermeld werd. Deze methode maakt een schatting van het gemiddelde en de standaardafwijking die het best past bij de verdeling van de gegevens. In de grafiek kun je dan ook de geschatte normaalverdeling zien die het dichtst bij het histogram aanleunt. Het histogram geeft dus de verdeling van de gegevens weer en de lijn stelt de normaalverdeling voor.

Post a new message
Dataseries X:
2,36
1,95
2,16
2,76
2,09
1,49
1,17
1,3
1,26
2,17
2,03
2,18
2,61
2,58
3,86
3,81
2,41
1,47
1,33
1,38
1,57
2,6
2,18
2,36
2,24
2,41
2,51
2,98
1,87
1,9
1,47
1,45
2,71
2,9
2,11
2,18
2,24
2,05
2,42
2,77
1,99
1,47
1,09
0,93
1,32
2,03
2,04
2,78
2,8
3,03
3,11
2,75
2,78
1,76
1,29
1,28
1,43
1,71
1,89
1,84
2,08
2,09
2,36
2,99
2,75
1,58
1,69
1,3
1,97
1,84
1,96
1,86
2,75
2,62
2,41
3,61
2,03
1,45
1,4
1,3
1,58
2,1
2,27
2,54




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24872&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24872&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24872&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001







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)
0.021.03881.0421.091.091.14281.090.9781.09
0.041.20241.2061.261.261.26641.171.2241.17
0.061.28041.2811.291.291.28981.281.2891.28
0.081.29721.2981.31.31.31.31.2921.3
0.11.31.31.31.31.3061.31.31.3
0.121.32081.3221.331.331.32961.321.3281.32
0.141.3681.3751.381.381.39241.381.3351.38
0.161.41321.4181.431.431.43561.41.4121.43
0.181.451.451.451.451.451.451.451.45
0.21.4661.471.471.471.471.471.471.47
0.221.471.471.471.471.47521.471.471.47
0.241.50281.5221.571.571.56361.491.5381.49
0.261.57841.581.581.581.581.581.581.58
0.281.63721.6681.691.691.69481.691.6021.69
0.31.721.7351.761.761.7551.711.7351.735
0.321.83041.841.841.841.841.841.841.84
0.341.85121.8581.861.861.86221.861.8421.86
0.361.87481.8821.891.891.88761.871.8781.89
0.381.89921.9151.91.91.9271.91.9351.9
0.41.9561.961.961.961.9621.961.961.96
0.421.97561.9841.991.991.98721.971.9761.99
0.442.02842.032.032.032.032.032.032.03
0.462.032.0312.032.032.03182.032.0392.03
0.482.04322.0482.052.052.04842.042.0422.05
0.52.082.0852.082.0852.0852.082.0852.085
0.522.092.0922.092.092.09162.092.0982.09
0.542.10362.1092.112.112.10822.12.1012.11
0.562.16042.1662.172.172.16482.162.1642.17
0.582.17722.182.182.182.182.182.182.18
0.62.182.182.182.182.182.182.182.18
0.622.242.242.242.242.242.242.242.24
0.642.26282.3062.272.272.28082.272.3242.27
0.662.362.362.362.362.362.362.362.36
0.682.3662.42.412.412.3822.362.372.41
0.72.412.412.412.412.412.412.412.41
0.722.41482.4382.422.422.41762.412.4922.42
0.742.51482.5372.542.542.52262.512.5132.54
0.762.57362.5922.582.582.58162.582.5882.6
0.782.60522.6132.612.612.60742.612.6172.61
0.82.6382.712.712.712.6562.622.712.71
0.822.74522.752.752.752.752.752.752.75
0.842.752.7542.752.752.752.752.7562.75
0.862.76242.7712.772.772.76382.762.7792.77
0.882.77922.782.782.782.782.782.782.78
0.92.7922.852.82.82.7942.82.852.85
0.922.92242.9822.982.982.92882.92.9882.98
0.942.98963.0262.992.992.99082.992.9943.03
0.963.08123.413.113.113.08443.113.313.61
0.983.6743.8253.813.813.6783.613.8453.81

\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 & 1.0388 & 1.042 & 1.09 & 1.09 & 1.1428 & 1.09 & 0.978 & 1.09 \tabularnewline
0.04 & 1.2024 & 1.206 & 1.26 & 1.26 & 1.2664 & 1.17 & 1.224 & 1.17 \tabularnewline
0.06 & 1.2804 & 1.281 & 1.29 & 1.29 & 1.2898 & 1.28 & 1.289 & 1.28 \tabularnewline
0.08 & 1.2972 & 1.298 & 1.3 & 1.3 & 1.3 & 1.3 & 1.292 & 1.3 \tabularnewline
0.1 & 1.3 & 1.3 & 1.3 & 1.3 & 1.306 & 1.3 & 1.3 & 1.3 \tabularnewline
0.12 & 1.3208 & 1.322 & 1.33 & 1.33 & 1.3296 & 1.32 & 1.328 & 1.32 \tabularnewline
0.14 & 1.368 & 1.375 & 1.38 & 1.38 & 1.3924 & 1.38 & 1.335 & 1.38 \tabularnewline
0.16 & 1.4132 & 1.418 & 1.43 & 1.43 & 1.4356 & 1.4 & 1.412 & 1.43 \tabularnewline
0.18 & 1.45 & 1.45 & 1.45 & 1.45 & 1.45 & 1.45 & 1.45 & 1.45 \tabularnewline
0.2 & 1.466 & 1.47 & 1.47 & 1.47 & 1.47 & 1.47 & 1.47 & 1.47 \tabularnewline
0.22 & 1.47 & 1.47 & 1.47 & 1.47 & 1.4752 & 1.47 & 1.47 & 1.47 \tabularnewline
0.24 & 1.5028 & 1.522 & 1.57 & 1.57 & 1.5636 & 1.49 & 1.538 & 1.49 \tabularnewline
0.26 & 1.5784 & 1.58 & 1.58 & 1.58 & 1.58 & 1.58 & 1.58 & 1.58 \tabularnewline
0.28 & 1.6372 & 1.668 & 1.69 & 1.69 & 1.6948 & 1.69 & 1.602 & 1.69 \tabularnewline
0.3 & 1.72 & 1.735 & 1.76 & 1.76 & 1.755 & 1.71 & 1.735 & 1.735 \tabularnewline
0.32 & 1.8304 & 1.84 & 1.84 & 1.84 & 1.84 & 1.84 & 1.84 & 1.84 \tabularnewline
0.34 & 1.8512 & 1.858 & 1.86 & 1.86 & 1.8622 & 1.86 & 1.842 & 1.86 \tabularnewline
0.36 & 1.8748 & 1.882 & 1.89 & 1.89 & 1.8876 & 1.87 & 1.878 & 1.89 \tabularnewline
0.38 & 1.8992 & 1.915 & 1.9 & 1.9 & 1.927 & 1.9 & 1.935 & 1.9 \tabularnewline
0.4 & 1.956 & 1.96 & 1.96 & 1.96 & 1.962 & 1.96 & 1.96 & 1.96 \tabularnewline
0.42 & 1.9756 & 1.984 & 1.99 & 1.99 & 1.9872 & 1.97 & 1.976 & 1.99 \tabularnewline
0.44 & 2.0284 & 2.03 & 2.03 & 2.03 & 2.03 & 2.03 & 2.03 & 2.03 \tabularnewline
0.46 & 2.03 & 2.031 & 2.03 & 2.03 & 2.0318 & 2.03 & 2.039 & 2.03 \tabularnewline
0.48 & 2.0432 & 2.048 & 2.05 & 2.05 & 2.0484 & 2.04 & 2.042 & 2.05 \tabularnewline
0.5 & 2.08 & 2.085 & 2.08 & 2.085 & 2.085 & 2.08 & 2.085 & 2.085 \tabularnewline
0.52 & 2.09 & 2.092 & 2.09 & 2.09 & 2.0916 & 2.09 & 2.098 & 2.09 \tabularnewline
0.54 & 2.1036 & 2.109 & 2.11 & 2.11 & 2.1082 & 2.1 & 2.101 & 2.11 \tabularnewline
0.56 & 2.1604 & 2.166 & 2.17 & 2.17 & 2.1648 & 2.16 & 2.164 & 2.17 \tabularnewline
0.58 & 2.1772 & 2.18 & 2.18 & 2.18 & 2.18 & 2.18 & 2.18 & 2.18 \tabularnewline
0.6 & 2.18 & 2.18 & 2.18 & 2.18 & 2.18 & 2.18 & 2.18 & 2.18 \tabularnewline
0.62 & 2.24 & 2.24 & 2.24 & 2.24 & 2.24 & 2.24 & 2.24 & 2.24 \tabularnewline
0.64 & 2.2628 & 2.306 & 2.27 & 2.27 & 2.2808 & 2.27 & 2.324 & 2.27 \tabularnewline
0.66 & 2.36 & 2.36 & 2.36 & 2.36 & 2.36 & 2.36 & 2.36 & 2.36 \tabularnewline
0.68 & 2.366 & 2.4 & 2.41 & 2.41 & 2.382 & 2.36 & 2.37 & 2.41 \tabularnewline
0.7 & 2.41 & 2.41 & 2.41 & 2.41 & 2.41 & 2.41 & 2.41 & 2.41 \tabularnewline
0.72 & 2.4148 & 2.438 & 2.42 & 2.42 & 2.4176 & 2.41 & 2.492 & 2.42 \tabularnewline
0.74 & 2.5148 & 2.537 & 2.54 & 2.54 & 2.5226 & 2.51 & 2.513 & 2.54 \tabularnewline
0.76 & 2.5736 & 2.592 & 2.58 & 2.58 & 2.5816 & 2.58 & 2.588 & 2.6 \tabularnewline
0.78 & 2.6052 & 2.613 & 2.61 & 2.61 & 2.6074 & 2.61 & 2.617 & 2.61 \tabularnewline
0.8 & 2.638 & 2.71 & 2.71 & 2.71 & 2.656 & 2.62 & 2.71 & 2.71 \tabularnewline
0.82 & 2.7452 & 2.75 & 2.75 & 2.75 & 2.75 & 2.75 & 2.75 & 2.75 \tabularnewline
0.84 & 2.75 & 2.754 & 2.75 & 2.75 & 2.75 & 2.75 & 2.756 & 2.75 \tabularnewline
0.86 & 2.7624 & 2.771 & 2.77 & 2.77 & 2.7638 & 2.76 & 2.779 & 2.77 \tabularnewline
0.88 & 2.7792 & 2.78 & 2.78 & 2.78 & 2.78 & 2.78 & 2.78 & 2.78 \tabularnewline
0.9 & 2.792 & 2.85 & 2.8 & 2.8 & 2.794 & 2.8 & 2.85 & 2.85 \tabularnewline
0.92 & 2.9224 & 2.982 & 2.98 & 2.98 & 2.9288 & 2.9 & 2.988 & 2.98 \tabularnewline
0.94 & 2.9896 & 3.026 & 2.99 & 2.99 & 2.9908 & 2.99 & 2.994 & 3.03 \tabularnewline
0.96 & 3.0812 & 3.41 & 3.11 & 3.11 & 3.0844 & 3.11 & 3.31 & 3.61 \tabularnewline
0.98 & 3.674 & 3.825 & 3.81 & 3.81 & 3.678 & 3.61 & 3.845 & 3.81 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24872&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]1.0388[/C][C]1.042[/C][C]1.09[/C][C]1.09[/C][C]1.1428[/C][C]1.09[/C][C]0.978[/C][C]1.09[/C][/ROW]
[ROW][C]0.04[/C][C]1.2024[/C][C]1.206[/C][C]1.26[/C][C]1.26[/C][C]1.2664[/C][C]1.17[/C][C]1.224[/C][C]1.17[/C][/ROW]
[ROW][C]0.06[/C][C]1.2804[/C][C]1.281[/C][C]1.29[/C][C]1.29[/C][C]1.2898[/C][C]1.28[/C][C]1.289[/C][C]1.28[/C][/ROW]
[ROW][C]0.08[/C][C]1.2972[/C][C]1.298[/C][C]1.3[/C][C]1.3[/C][C]1.3[/C][C]1.3[/C][C]1.292[/C][C]1.3[/C][/ROW]
[ROW][C]0.1[/C][C]1.3[/C][C]1.3[/C][C]1.3[/C][C]1.3[/C][C]1.306[/C][C]1.3[/C][C]1.3[/C][C]1.3[/C][/ROW]
[ROW][C]0.12[/C][C]1.3208[/C][C]1.322[/C][C]1.33[/C][C]1.33[/C][C]1.3296[/C][C]1.32[/C][C]1.328[/C][C]1.32[/C][/ROW]
[ROW][C]0.14[/C][C]1.368[/C][C]1.375[/C][C]1.38[/C][C]1.38[/C][C]1.3924[/C][C]1.38[/C][C]1.335[/C][C]1.38[/C][/ROW]
[ROW][C]0.16[/C][C]1.4132[/C][C]1.418[/C][C]1.43[/C][C]1.43[/C][C]1.4356[/C][C]1.4[/C][C]1.412[/C][C]1.43[/C][/ROW]
[ROW][C]0.18[/C][C]1.45[/C][C]1.45[/C][C]1.45[/C][C]1.45[/C][C]1.45[/C][C]1.45[/C][C]1.45[/C][C]1.45[/C][/ROW]
[ROW][C]0.2[/C][C]1.466[/C][C]1.47[/C][C]1.47[/C][C]1.47[/C][C]1.47[/C][C]1.47[/C][C]1.47[/C][C]1.47[/C][/ROW]
[ROW][C]0.22[/C][C]1.47[/C][C]1.47[/C][C]1.47[/C][C]1.47[/C][C]1.4752[/C][C]1.47[/C][C]1.47[/C][C]1.47[/C][/ROW]
[ROW][C]0.24[/C][C]1.5028[/C][C]1.522[/C][C]1.57[/C][C]1.57[/C][C]1.5636[/C][C]1.49[/C][C]1.538[/C][C]1.49[/C][/ROW]
[ROW][C]0.26[/C][C]1.5784[/C][C]1.58[/C][C]1.58[/C][C]1.58[/C][C]1.58[/C][C]1.58[/C][C]1.58[/C][C]1.58[/C][/ROW]
[ROW][C]0.28[/C][C]1.6372[/C][C]1.668[/C][C]1.69[/C][C]1.69[/C][C]1.6948[/C][C]1.69[/C][C]1.602[/C][C]1.69[/C][/ROW]
[ROW][C]0.3[/C][C]1.72[/C][C]1.735[/C][C]1.76[/C][C]1.76[/C][C]1.755[/C][C]1.71[/C][C]1.735[/C][C]1.735[/C][/ROW]
[ROW][C]0.32[/C][C]1.8304[/C][C]1.84[/C][C]1.84[/C][C]1.84[/C][C]1.84[/C][C]1.84[/C][C]1.84[/C][C]1.84[/C][/ROW]
[ROW][C]0.34[/C][C]1.8512[/C][C]1.858[/C][C]1.86[/C][C]1.86[/C][C]1.8622[/C][C]1.86[/C][C]1.842[/C][C]1.86[/C][/ROW]
[ROW][C]0.36[/C][C]1.8748[/C][C]1.882[/C][C]1.89[/C][C]1.89[/C][C]1.8876[/C][C]1.87[/C][C]1.878[/C][C]1.89[/C][/ROW]
[ROW][C]0.38[/C][C]1.8992[/C][C]1.915[/C][C]1.9[/C][C]1.9[/C][C]1.927[/C][C]1.9[/C][C]1.935[/C][C]1.9[/C][/ROW]
[ROW][C]0.4[/C][C]1.956[/C][C]1.96[/C][C]1.96[/C][C]1.96[/C][C]1.962[/C][C]1.96[/C][C]1.96[/C][C]1.96[/C][/ROW]
[ROW][C]0.42[/C][C]1.9756[/C][C]1.984[/C][C]1.99[/C][C]1.99[/C][C]1.9872[/C][C]1.97[/C][C]1.976[/C][C]1.99[/C][/ROW]
[ROW][C]0.44[/C][C]2.0284[/C][C]2.03[/C][C]2.03[/C][C]2.03[/C][C]2.03[/C][C]2.03[/C][C]2.03[/C][C]2.03[/C][/ROW]
[ROW][C]0.46[/C][C]2.03[/C][C]2.031[/C][C]2.03[/C][C]2.03[/C][C]2.0318[/C][C]2.03[/C][C]2.039[/C][C]2.03[/C][/ROW]
[ROW][C]0.48[/C][C]2.0432[/C][C]2.048[/C][C]2.05[/C][C]2.05[/C][C]2.0484[/C][C]2.04[/C][C]2.042[/C][C]2.05[/C][/ROW]
[ROW][C]0.5[/C][C]2.08[/C][C]2.085[/C][C]2.08[/C][C]2.085[/C][C]2.085[/C][C]2.08[/C][C]2.085[/C][C]2.085[/C][/ROW]
[ROW][C]0.52[/C][C]2.09[/C][C]2.092[/C][C]2.09[/C][C]2.09[/C][C]2.0916[/C][C]2.09[/C][C]2.098[/C][C]2.09[/C][/ROW]
[ROW][C]0.54[/C][C]2.1036[/C][C]2.109[/C][C]2.11[/C][C]2.11[/C][C]2.1082[/C][C]2.1[/C][C]2.101[/C][C]2.11[/C][/ROW]
[ROW][C]0.56[/C][C]2.1604[/C][C]2.166[/C][C]2.17[/C][C]2.17[/C][C]2.1648[/C][C]2.16[/C][C]2.164[/C][C]2.17[/C][/ROW]
[ROW][C]0.58[/C][C]2.1772[/C][C]2.18[/C][C]2.18[/C][C]2.18[/C][C]2.18[/C][C]2.18[/C][C]2.18[/C][C]2.18[/C][/ROW]
[ROW][C]0.6[/C][C]2.18[/C][C]2.18[/C][C]2.18[/C][C]2.18[/C][C]2.18[/C][C]2.18[/C][C]2.18[/C][C]2.18[/C][/ROW]
[ROW][C]0.62[/C][C]2.24[/C][C]2.24[/C][C]2.24[/C][C]2.24[/C][C]2.24[/C][C]2.24[/C][C]2.24[/C][C]2.24[/C][/ROW]
[ROW][C]0.64[/C][C]2.2628[/C][C]2.306[/C][C]2.27[/C][C]2.27[/C][C]2.2808[/C][C]2.27[/C][C]2.324[/C][C]2.27[/C][/ROW]
[ROW][C]0.66[/C][C]2.36[/C][C]2.36[/C][C]2.36[/C][C]2.36[/C][C]2.36[/C][C]2.36[/C][C]2.36[/C][C]2.36[/C][/ROW]
[ROW][C]0.68[/C][C]2.366[/C][C]2.4[/C][C]2.41[/C][C]2.41[/C][C]2.382[/C][C]2.36[/C][C]2.37[/C][C]2.41[/C][/ROW]
[ROW][C]0.7[/C][C]2.41[/C][C]2.41[/C][C]2.41[/C][C]2.41[/C][C]2.41[/C][C]2.41[/C][C]2.41[/C][C]2.41[/C][/ROW]
[ROW][C]0.72[/C][C]2.4148[/C][C]2.438[/C][C]2.42[/C][C]2.42[/C][C]2.4176[/C][C]2.41[/C][C]2.492[/C][C]2.42[/C][/ROW]
[ROW][C]0.74[/C][C]2.5148[/C][C]2.537[/C][C]2.54[/C][C]2.54[/C][C]2.5226[/C][C]2.51[/C][C]2.513[/C][C]2.54[/C][/ROW]
[ROW][C]0.76[/C][C]2.5736[/C][C]2.592[/C][C]2.58[/C][C]2.58[/C][C]2.5816[/C][C]2.58[/C][C]2.588[/C][C]2.6[/C][/ROW]
[ROW][C]0.78[/C][C]2.6052[/C][C]2.613[/C][C]2.61[/C][C]2.61[/C][C]2.6074[/C][C]2.61[/C][C]2.617[/C][C]2.61[/C][/ROW]
[ROW][C]0.8[/C][C]2.638[/C][C]2.71[/C][C]2.71[/C][C]2.71[/C][C]2.656[/C][C]2.62[/C][C]2.71[/C][C]2.71[/C][/ROW]
[ROW][C]0.82[/C][C]2.7452[/C][C]2.75[/C][C]2.75[/C][C]2.75[/C][C]2.75[/C][C]2.75[/C][C]2.75[/C][C]2.75[/C][/ROW]
[ROW][C]0.84[/C][C]2.75[/C][C]2.754[/C][C]2.75[/C][C]2.75[/C][C]2.75[/C][C]2.75[/C][C]2.756[/C][C]2.75[/C][/ROW]
[ROW][C]0.86[/C][C]2.7624[/C][C]2.771[/C][C]2.77[/C][C]2.77[/C][C]2.7638[/C][C]2.76[/C][C]2.779[/C][C]2.77[/C][/ROW]
[ROW][C]0.88[/C][C]2.7792[/C][C]2.78[/C][C]2.78[/C][C]2.78[/C][C]2.78[/C][C]2.78[/C][C]2.78[/C][C]2.78[/C][/ROW]
[ROW][C]0.9[/C][C]2.792[/C][C]2.85[/C][C]2.8[/C][C]2.8[/C][C]2.794[/C][C]2.8[/C][C]2.85[/C][C]2.85[/C][/ROW]
[ROW][C]0.92[/C][C]2.9224[/C][C]2.982[/C][C]2.98[/C][C]2.98[/C][C]2.9288[/C][C]2.9[/C][C]2.988[/C][C]2.98[/C][/ROW]
[ROW][C]0.94[/C][C]2.9896[/C][C]3.026[/C][C]2.99[/C][C]2.99[/C][C]2.9908[/C][C]2.99[/C][C]2.994[/C][C]3.03[/C][/ROW]
[ROW][C]0.96[/C][C]3.0812[/C][C]3.41[/C][C]3.11[/C][C]3.11[/C][C]3.0844[/C][C]3.11[/C][C]3.31[/C][C]3.61[/C][/ROW]
[ROW][C]0.98[/C][C]3.674[/C][C]3.825[/C][C]3.81[/C][C]3.81[/C][C]3.678[/C][C]3.61[/C][C]3.845[/C][C]3.81[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24872&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24872&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)
0.021.03881.0421.091.091.14281.090.9781.09
0.041.20241.2061.261.261.26641.171.2241.17
0.061.28041.2811.291.291.28981.281.2891.28
0.081.29721.2981.31.31.31.31.2921.3
0.11.31.31.31.31.3061.31.31.3
0.121.32081.3221.331.331.32961.321.3281.32
0.141.3681.3751.381.381.39241.381.3351.38
0.161.41321.4181.431.431.43561.41.4121.43
0.181.451.451.451.451.451.451.451.45
0.21.4661.471.471.471.471.471.471.47
0.221.471.471.471.471.47521.471.471.47
0.241.50281.5221.571.571.56361.491.5381.49
0.261.57841.581.581.581.581.581.581.58
0.281.63721.6681.691.691.69481.691.6021.69
0.31.721.7351.761.761.7551.711.7351.735
0.321.83041.841.841.841.841.841.841.84
0.341.85121.8581.861.861.86221.861.8421.86
0.361.87481.8821.891.891.88761.871.8781.89
0.381.89921.9151.91.91.9271.91.9351.9
0.41.9561.961.961.961.9621.961.961.96
0.421.97561.9841.991.991.98721.971.9761.99
0.442.02842.032.032.032.032.032.032.03
0.462.032.0312.032.032.03182.032.0392.03
0.482.04322.0482.052.052.04842.042.0422.05
0.52.082.0852.082.0852.0852.082.0852.085
0.522.092.0922.092.092.09162.092.0982.09
0.542.10362.1092.112.112.10822.12.1012.11
0.562.16042.1662.172.172.16482.162.1642.17
0.582.17722.182.182.182.182.182.182.18
0.62.182.182.182.182.182.182.182.18
0.622.242.242.242.242.242.242.242.24
0.642.26282.3062.272.272.28082.272.3242.27
0.662.362.362.362.362.362.362.362.36
0.682.3662.42.412.412.3822.362.372.41
0.72.412.412.412.412.412.412.412.41
0.722.41482.4382.422.422.41762.412.4922.42
0.742.51482.5372.542.542.52262.512.5132.54
0.762.57362.5922.582.582.58162.582.5882.6
0.782.60522.6132.612.612.60742.612.6172.61
0.82.6382.712.712.712.6562.622.712.71
0.822.74522.752.752.752.752.752.752.75
0.842.752.7542.752.752.752.752.7562.75
0.862.76242.7712.772.772.76382.762.7792.77
0.882.77922.782.782.782.782.782.782.78
0.92.7922.852.82.82.7942.82.852.85
0.922.92242.9822.982.982.92882.92.9882.98
0.942.98963.0262.992.992.99082.992.9943.03
0.963.08123.413.113.113.08443.113.313.61
0.983.6743.8253.813.813.6783.613.8453.81



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')