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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationMon, 20 Dec 2010 20:24:56 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/20/t1292876618sfgbxv3m4zfxgj4.htm/, Retrieved Fri, 03 May 2024 17:53:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=113118, Retrieved Fri, 03 May 2024 17:53:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Percentiles] [Intrinsic Motivat...] [2010-10-12 12:10:58] [b98453cac15ba1066b407e146608df68]
-   PD  [Percentiles] [Intrinsic motivat...] [2010-10-17 13:31:08] [1429a1a14191a86916b95357f6de790b]
- R PD    [Percentiles] [Normal QQ-plot - ...] [2010-12-14 13:21:13] [1429a1a14191a86916b95357f6de790b]
-             [Percentiles] [Normal QQ plot - ...] [2010-12-20 20:24:56] [86130087148d9c8eb48f66f03eaf10c2] [Current]
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Dataseries X:
62
54
41
49
49
72
78
58
58
23
39
63
46
58
39
44
49
57
76
63
18
40
59
62
70
65
56
45
57
50
40
58
49
49
27
51
75
65
47
49
65
61
46
69
55
78
58
34
67
45
68
49
19
72
59
46
56
45
53
67
73
46
70
38
54
46
46
45
47
25
63
46
69
43
49
39
65
54
50
42
45
50
55
38
40
51
49
39
57
30
51
48
56
66
72
28
52
53
70
63
46
45
68
54
60
50
66
56
54
72
34
39
66
27
63
65
63
49
42
51
50
64
68
66
59
32
62
52
34
63
48
53
39
51
60
70
40
61
35
39
31
36
51
55
67
40




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113118&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113118&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113118&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 time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







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)
0.0118.4618.47191920.81818.5318
0.0222.6822.76232324.82319.2423
0.0325.7625.822727272526.1825
0.042727272727.8272727
0.0528.628.7303030.252829.328
0.0630.7630.82313131.73130.1831
0.0732.4432.583434343233.4232
0.083434343434343434
0.0934.1434.23353535.053434.7734
0.135.635.73636373635.336
0.113838383838383838
0.1238.5238.643939393938.3639
0.133939393939393939
0.143939393939393939
0.153939393939393939
0.163939393939.2393939
0.1739.8239.994040404039.0140
0.184040404040404040
0.194040404040404040
0.240.240.44141414040.640
0.2141.6641.874242424241.1342
0.2242.1242.34434342.94242.6642
0.2343.5843.81444444.354443.1944
0.244545454545454545
0.254545454545454545
0.264545454545454545
0.274545454545.15454545
0.2845.8846464646464646
0.294646464646464646
0.34646464646464646
0.314646464646464646
0.324646464646464646
0.3346.1846.51474746.854646.4947
0.344747474747.3474747
0.354848484848484848
0.3648.5648.924949494948.0849
0.374949494949494949
0.384949494949494949
0.394949494949494949
0.44949494949494949
0.414949494949494949
0.424949494949494949
0.4349.7850505050505050
0.445050505050505050
0.455050505050505050
0.4650.1650.62515150.75050.3851
0.475151515151515151
0.485151515151515151
0.495151515151515151
0.55151.55151.551.55151.551.5
0.515252525252525252
0.5252.9253535353535353
0.535353535353535353
0.5453.8454545454545454
0.555454545454545454
0.565454545454545454
0.5754.2254.79555554.655454.2155
0.585555555555555555
0.5955.1455.73565655.555555.2756
0.65656565656565656
0.615656565656565656
0.6256.5257575756.9575757
0.635757575757575757
0.6457.4458585857.8575858
0.655858585858585858
0.665858585858585858
0.675858.49585858.155858.5158
0.685959595959595959
0.695959.43595959.055959.5759
0.76060606060606060
0.7160.6661616160.95616161
0.7261.1261.84626261.46161.1662
0.736262626262626262
0.7462.0462.78636362.36262.2263
0.756363636363636363
0.766363636363636363
0.776363636363636363
0.786363636363636363
0.7963.3464.13646463.556364.8764
0.864.865656565656565
0.816565656565656565
0.826565656565656565
0.8365.1866666665.35656666
0.846666666666666666
0.856666666666666666
0.8666.5667676766.7676767
0.876767676767676767
0.8867.4868686867.6676868
0.896868686868686868
0.968.469696968.5686969
0.916969.776969696969.2370
0.927070707070707070
0.937070707070707070
0.9470.4872727270.6707272
0.957272727272727272
0.967272.127272727272.8872
0.9772.6274.18737372.657373.8275
0.9875.0876.12767675.17577.8876
0.9977.0878787877.1787878

\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 & 18.46 & 18.47 & 19 & 19 & 20.8 & 18 & 18.53 & 18 \tabularnewline
0.02 & 22.68 & 22.76 & 23 & 23 & 24.8 & 23 & 19.24 & 23 \tabularnewline
0.03 & 25.76 & 25.82 & 27 & 27 & 27 & 25 & 26.18 & 25 \tabularnewline
0.04 & 27 & 27 & 27 & 27 & 27.8 & 27 & 27 & 27 \tabularnewline
0.05 & 28.6 & 28.7 & 30 & 30 & 30.25 & 28 & 29.3 & 28 \tabularnewline
0.06 & 30.76 & 30.82 & 31 & 31 & 31.7 & 31 & 30.18 & 31 \tabularnewline
0.07 & 32.44 & 32.58 & 34 & 34 & 34 & 32 & 33.42 & 32 \tabularnewline
0.08 & 34 & 34 & 34 & 34 & 34 & 34 & 34 & 34 \tabularnewline
0.09 & 34.14 & 34.23 & 35 & 35 & 35.05 & 34 & 34.77 & 34 \tabularnewline
0.1 & 35.6 & 35.7 & 36 & 36 & 37 & 36 & 35.3 & 36 \tabularnewline
0.11 & 38 & 38 & 38 & 38 & 38 & 38 & 38 & 38 \tabularnewline
0.12 & 38.52 & 38.64 & 39 & 39 & 39 & 39 & 38.36 & 39 \tabularnewline
0.13 & 39 & 39 & 39 & 39 & 39 & 39 & 39 & 39 \tabularnewline
0.14 & 39 & 39 & 39 & 39 & 39 & 39 & 39 & 39 \tabularnewline
0.15 & 39 & 39 & 39 & 39 & 39 & 39 & 39 & 39 \tabularnewline
0.16 & 39 & 39 & 39 & 39 & 39.2 & 39 & 39 & 39 \tabularnewline
0.17 & 39.82 & 39.99 & 40 & 40 & 40 & 40 & 39.01 & 40 \tabularnewline
0.18 & 40 & 40 & 40 & 40 & 40 & 40 & 40 & 40 \tabularnewline
0.19 & 40 & 40 & 40 & 40 & 40 & 40 & 40 & 40 \tabularnewline
0.2 & 40.2 & 40.4 & 41 & 41 & 41 & 40 & 40.6 & 40 \tabularnewline
0.21 & 41.66 & 41.87 & 42 & 42 & 42 & 42 & 41.13 & 42 \tabularnewline
0.22 & 42.12 & 42.34 & 43 & 43 & 42.9 & 42 & 42.66 & 42 \tabularnewline
0.23 & 43.58 & 43.81 & 44 & 44 & 44.35 & 44 & 43.19 & 44 \tabularnewline
0.24 & 45 & 45 & 45 & 45 & 45 & 45 & 45 & 45 \tabularnewline
0.25 & 45 & 45 & 45 & 45 & 45 & 45 & 45 & 45 \tabularnewline
0.26 & 45 & 45 & 45 & 45 & 45 & 45 & 45 & 45 \tabularnewline
0.27 & 45 & 45 & 45 & 45 & 45.15 & 45 & 45 & 45 \tabularnewline
0.28 & 45.88 & 46 & 46 & 46 & 46 & 46 & 46 & 46 \tabularnewline
0.29 & 46 & 46 & 46 & 46 & 46 & 46 & 46 & 46 \tabularnewline
0.3 & 46 & 46 & 46 & 46 & 46 & 46 & 46 & 46 \tabularnewline
0.31 & 46 & 46 & 46 & 46 & 46 & 46 & 46 & 46 \tabularnewline
0.32 & 46 & 46 & 46 & 46 & 46 & 46 & 46 & 46 \tabularnewline
0.33 & 46.18 & 46.51 & 47 & 47 & 46.85 & 46 & 46.49 & 47 \tabularnewline
0.34 & 47 & 47 & 47 & 47 & 47.3 & 47 & 47 & 47 \tabularnewline
0.35 & 48 & 48 & 48 & 48 & 48 & 48 & 48 & 48 \tabularnewline
0.36 & 48.56 & 48.92 & 49 & 49 & 49 & 49 & 48.08 & 49 \tabularnewline
0.37 & 49 & 49 & 49 & 49 & 49 & 49 & 49 & 49 \tabularnewline
0.38 & 49 & 49 & 49 & 49 & 49 & 49 & 49 & 49 \tabularnewline
0.39 & 49 & 49 & 49 & 49 & 49 & 49 & 49 & 49 \tabularnewline
0.4 & 49 & 49 & 49 & 49 & 49 & 49 & 49 & 49 \tabularnewline
0.41 & 49 & 49 & 49 & 49 & 49 & 49 & 49 & 49 \tabularnewline
0.42 & 49 & 49 & 49 & 49 & 49 & 49 & 49 & 49 \tabularnewline
0.43 & 49.78 & 50 & 50 & 50 & 50 & 50 & 50 & 50 \tabularnewline
0.44 & 50 & 50 & 50 & 50 & 50 & 50 & 50 & 50 \tabularnewline
0.45 & 50 & 50 & 50 & 50 & 50 & 50 & 50 & 50 \tabularnewline
0.46 & 50.16 & 50.62 & 51 & 51 & 50.7 & 50 & 50.38 & 51 \tabularnewline
0.47 & 51 & 51 & 51 & 51 & 51 & 51 & 51 & 51 \tabularnewline
0.48 & 51 & 51 & 51 & 51 & 51 & 51 & 51 & 51 \tabularnewline
0.49 & 51 & 51 & 51 & 51 & 51 & 51 & 51 & 51 \tabularnewline
0.5 & 51 & 51.5 & 51 & 51.5 & 51.5 & 51 & 51.5 & 51.5 \tabularnewline
0.51 & 52 & 52 & 52 & 52 & 52 & 52 & 52 & 52 \tabularnewline
0.52 & 52.92 & 53 & 53 & 53 & 53 & 53 & 53 & 53 \tabularnewline
0.53 & 53 & 53 & 53 & 53 & 53 & 53 & 53 & 53 \tabularnewline
0.54 & 53.84 & 54 & 54 & 54 & 54 & 54 & 54 & 54 \tabularnewline
0.55 & 54 & 54 & 54 & 54 & 54 & 54 & 54 & 54 \tabularnewline
0.56 & 54 & 54 & 54 & 54 & 54 & 54 & 54 & 54 \tabularnewline
0.57 & 54.22 & 54.79 & 55 & 55 & 54.65 & 54 & 54.21 & 55 \tabularnewline
0.58 & 55 & 55 & 55 & 55 & 55 & 55 & 55 & 55 \tabularnewline
0.59 & 55.14 & 55.73 & 56 & 56 & 55.55 & 55 & 55.27 & 56 \tabularnewline
0.6 & 56 & 56 & 56 & 56 & 56 & 56 & 56 & 56 \tabularnewline
0.61 & 56 & 56 & 56 & 56 & 56 & 56 & 56 & 56 \tabularnewline
0.62 & 56.52 & 57 & 57 & 57 & 56.9 & 57 & 57 & 57 \tabularnewline
0.63 & 57 & 57 & 57 & 57 & 57 & 57 & 57 & 57 \tabularnewline
0.64 & 57.44 & 58 & 58 & 58 & 57.8 & 57 & 58 & 58 \tabularnewline
0.65 & 58 & 58 & 58 & 58 & 58 & 58 & 58 & 58 \tabularnewline
0.66 & 58 & 58 & 58 & 58 & 58 & 58 & 58 & 58 \tabularnewline
0.67 & 58 & 58.49 & 58 & 58 & 58.15 & 58 & 58.51 & 58 \tabularnewline
0.68 & 59 & 59 & 59 & 59 & 59 & 59 & 59 & 59 \tabularnewline
0.69 & 59 & 59.43 & 59 & 59 & 59.05 & 59 & 59.57 & 59 \tabularnewline
0.7 & 60 & 60 & 60 & 60 & 60 & 60 & 60 & 60 \tabularnewline
0.71 & 60.66 & 61 & 61 & 61 & 60.95 & 61 & 61 & 61 \tabularnewline
0.72 & 61.12 & 61.84 & 62 & 62 & 61.4 & 61 & 61.16 & 62 \tabularnewline
0.73 & 62 & 62 & 62 & 62 & 62 & 62 & 62 & 62 \tabularnewline
0.74 & 62.04 & 62.78 & 63 & 63 & 62.3 & 62 & 62.22 & 63 \tabularnewline
0.75 & 63 & 63 & 63 & 63 & 63 & 63 & 63 & 63 \tabularnewline
0.76 & 63 & 63 & 63 & 63 & 63 & 63 & 63 & 63 \tabularnewline
0.77 & 63 & 63 & 63 & 63 & 63 & 63 & 63 & 63 \tabularnewline
0.78 & 63 & 63 & 63 & 63 & 63 & 63 & 63 & 63 \tabularnewline
0.79 & 63.34 & 64.13 & 64 & 64 & 63.55 & 63 & 64.87 & 64 \tabularnewline
0.8 & 64.8 & 65 & 65 & 65 & 65 & 65 & 65 & 65 \tabularnewline
0.81 & 65 & 65 & 65 & 65 & 65 & 65 & 65 & 65 \tabularnewline
0.82 & 65 & 65 & 65 & 65 & 65 & 65 & 65 & 65 \tabularnewline
0.83 & 65.18 & 66 & 66 & 66 & 65.35 & 65 & 66 & 66 \tabularnewline
0.84 & 66 & 66 & 66 & 66 & 66 & 66 & 66 & 66 \tabularnewline
0.85 & 66 & 66 & 66 & 66 & 66 & 66 & 66 & 66 \tabularnewline
0.86 & 66.56 & 67 & 67 & 67 & 66.7 & 67 & 67 & 67 \tabularnewline
0.87 & 67 & 67 & 67 & 67 & 67 & 67 & 67 & 67 \tabularnewline
0.88 & 67.48 & 68 & 68 & 68 & 67.6 & 67 & 68 & 68 \tabularnewline
0.89 & 68 & 68 & 68 & 68 & 68 & 68 & 68 & 68 \tabularnewline
0.9 & 68.4 & 69 & 69 & 69 & 68.5 & 68 & 69 & 69 \tabularnewline
0.91 & 69 & 69.77 & 69 & 69 & 69 & 69 & 69.23 & 70 \tabularnewline
0.92 & 70 & 70 & 70 & 70 & 70 & 70 & 70 & 70 \tabularnewline
0.93 & 70 & 70 & 70 & 70 & 70 & 70 & 70 & 70 \tabularnewline
0.94 & 70.48 & 72 & 72 & 72 & 70.6 & 70 & 72 & 72 \tabularnewline
0.95 & 72 & 72 & 72 & 72 & 72 & 72 & 72 & 72 \tabularnewline
0.96 & 72 & 72.12 & 72 & 72 & 72 & 72 & 72.88 & 72 \tabularnewline
0.97 & 72.62 & 74.18 & 73 & 73 & 72.65 & 73 & 73.82 & 75 \tabularnewline
0.98 & 75.08 & 76.12 & 76 & 76 & 75.1 & 75 & 77.88 & 76 \tabularnewline
0.99 & 77.08 & 78 & 78 & 78 & 77.1 & 78 & 78 & 78 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113118&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]18.46[/C][C]18.47[/C][C]19[/C][C]19[/C][C]20.8[/C][C]18[/C][C]18.53[/C][C]18[/C][/ROW]
[ROW][C]0.02[/C][C]22.68[/C][C]22.76[/C][C]23[/C][C]23[/C][C]24.8[/C][C]23[/C][C]19.24[/C][C]23[/C][/ROW]
[ROW][C]0.03[/C][C]25.76[/C][C]25.82[/C][C]27[/C][C]27[/C][C]27[/C][C]25[/C][C]26.18[/C][C]25[/C][/ROW]
[ROW][C]0.04[/C][C]27[/C][C]27[/C][C]27[/C][C]27[/C][C]27.8[/C][C]27[/C][C]27[/C][C]27[/C][/ROW]
[ROW][C]0.05[/C][C]28.6[/C][C]28.7[/C][C]30[/C][C]30[/C][C]30.25[/C][C]28[/C][C]29.3[/C][C]28[/C][/ROW]
[ROW][C]0.06[/C][C]30.76[/C][C]30.82[/C][C]31[/C][C]31[/C][C]31.7[/C][C]31[/C][C]30.18[/C][C]31[/C][/ROW]
[ROW][C]0.07[/C][C]32.44[/C][C]32.58[/C][C]34[/C][C]34[/C][C]34[/C][C]32[/C][C]33.42[/C][C]32[/C][/ROW]
[ROW][C]0.08[/C][C]34[/C][C]34[/C][C]34[/C][C]34[/C][C]34[/C][C]34[/C][C]34[/C][C]34[/C][/ROW]
[ROW][C]0.09[/C][C]34.14[/C][C]34.23[/C][C]35[/C][C]35[/C][C]35.05[/C][C]34[/C][C]34.77[/C][C]34[/C][/ROW]
[ROW][C]0.1[/C][C]35.6[/C][C]35.7[/C][C]36[/C][C]36[/C][C]37[/C][C]36[/C][C]35.3[/C][C]36[/C][/ROW]
[ROW][C]0.11[/C][C]38[/C][C]38[/C][C]38[/C][C]38[/C][C]38[/C][C]38[/C][C]38[/C][C]38[/C][/ROW]
[ROW][C]0.12[/C][C]38.52[/C][C]38.64[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]38.36[/C][C]39[/C][/ROW]
[ROW][C]0.13[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][/ROW]
[ROW][C]0.14[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][/ROW]
[ROW][C]0.15[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][/ROW]
[ROW][C]0.16[/C][C]39[/C][C]39[/C][C]39[/C][C]39[/C][C]39.2[/C][C]39[/C][C]39[/C][C]39[/C][/ROW]
[ROW][C]0.17[/C][C]39.82[/C][C]39.99[/C][C]40[/C][C]40[/C][C]40[/C][C]40[/C][C]39.01[/C][C]40[/C][/ROW]
[ROW][C]0.18[/C][C]40[/C][C]40[/C][C]40[/C][C]40[/C][C]40[/C][C]40[/C][C]40[/C][C]40[/C][/ROW]
[ROW][C]0.19[/C][C]40[/C][C]40[/C][C]40[/C][C]40[/C][C]40[/C][C]40[/C][C]40[/C][C]40[/C][/ROW]
[ROW][C]0.2[/C][C]40.2[/C][C]40.4[/C][C]41[/C][C]41[/C][C]41[/C][C]40[/C][C]40.6[/C][C]40[/C][/ROW]
[ROW][C]0.21[/C][C]41.66[/C][C]41.87[/C][C]42[/C][C]42[/C][C]42[/C][C]42[/C][C]41.13[/C][C]42[/C][/ROW]
[ROW][C]0.22[/C][C]42.12[/C][C]42.34[/C][C]43[/C][C]43[/C][C]42.9[/C][C]42[/C][C]42.66[/C][C]42[/C][/ROW]
[ROW][C]0.23[/C][C]43.58[/C][C]43.81[/C][C]44[/C][C]44[/C][C]44.35[/C][C]44[/C][C]43.19[/C][C]44[/C][/ROW]
[ROW][C]0.24[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][/ROW]
[ROW][C]0.25[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][/ROW]
[ROW][C]0.26[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][/ROW]
[ROW][C]0.27[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45.15[/C][C]45[/C][C]45[/C][C]45[/C][/ROW]
[ROW][C]0.28[/C][C]45.88[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][/ROW]
[ROW][C]0.29[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][/ROW]
[ROW][C]0.3[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][/ROW]
[ROW][C]0.31[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][/ROW]
[ROW][C]0.32[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][C]46[/C][/ROW]
[ROW][C]0.33[/C][C]46.18[/C][C]46.51[/C][C]47[/C][C]47[/C][C]46.85[/C][C]46[/C][C]46.49[/C][C]47[/C][/ROW]
[ROW][C]0.34[/C][C]47[/C][C]47[/C][C]47[/C][C]47[/C][C]47.3[/C][C]47[/C][C]47[/C][C]47[/C][/ROW]
[ROW][C]0.35[/C][C]48[/C][C]48[/C][C]48[/C][C]48[/C][C]48[/C][C]48[/C][C]48[/C][C]48[/C][/ROW]
[ROW][C]0.36[/C][C]48.56[/C][C]48.92[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]48.08[/C][C]49[/C][/ROW]
[ROW][C]0.37[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][/ROW]
[ROW][C]0.38[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][/ROW]
[ROW][C]0.39[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][/ROW]
[ROW][C]0.4[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][/ROW]
[ROW][C]0.41[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][/ROW]
[ROW][C]0.42[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][/ROW]
[ROW][C]0.43[/C][C]49.78[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][/ROW]
[ROW][C]0.44[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][/ROW]
[ROW][C]0.45[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][C]50[/C][/ROW]
[ROW][C]0.46[/C][C]50.16[/C][C]50.62[/C][C]51[/C][C]51[/C][C]50.7[/C][C]50[/C][C]50.38[/C][C]51[/C][/ROW]
[ROW][C]0.47[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][/ROW]
[ROW][C]0.48[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][/ROW]
[ROW][C]0.49[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][/ROW]
[ROW][C]0.5[/C][C]51[/C][C]51.5[/C][C]51[/C][C]51.5[/C][C]51.5[/C][C]51[/C][C]51.5[/C][C]51.5[/C][/ROW]
[ROW][C]0.51[/C][C]52[/C][C]52[/C][C]52[/C][C]52[/C][C]52[/C][C]52[/C][C]52[/C][C]52[/C][/ROW]
[ROW][C]0.52[/C][C]52.92[/C][C]53[/C][C]53[/C][C]53[/C][C]53[/C][C]53[/C][C]53[/C][C]53[/C][/ROW]
[ROW][C]0.53[/C][C]53[/C][C]53[/C][C]53[/C][C]53[/C][C]53[/C][C]53[/C][C]53[/C][C]53[/C][/ROW]
[ROW][C]0.54[/C][C]53.84[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][/ROW]
[ROW][C]0.55[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][/ROW]
[ROW][C]0.56[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][C]54[/C][/ROW]
[ROW][C]0.57[/C][C]54.22[/C][C]54.79[/C][C]55[/C][C]55[/C][C]54.65[/C][C]54[/C][C]54.21[/C][C]55[/C][/ROW]
[ROW][C]0.58[/C][C]55[/C][C]55[/C][C]55[/C][C]55[/C][C]55[/C][C]55[/C][C]55[/C][C]55[/C][/ROW]
[ROW][C]0.59[/C][C]55.14[/C][C]55.73[/C][C]56[/C][C]56[/C][C]55.55[/C][C]55[/C][C]55.27[/C][C]56[/C][/ROW]
[ROW][C]0.6[/C][C]56[/C][C]56[/C][C]56[/C][C]56[/C][C]56[/C][C]56[/C][C]56[/C][C]56[/C][/ROW]
[ROW][C]0.61[/C][C]56[/C][C]56[/C][C]56[/C][C]56[/C][C]56[/C][C]56[/C][C]56[/C][C]56[/C][/ROW]
[ROW][C]0.62[/C][C]56.52[/C][C]57[/C][C]57[/C][C]57[/C][C]56.9[/C][C]57[/C][C]57[/C][C]57[/C][/ROW]
[ROW][C]0.63[/C][C]57[/C][C]57[/C][C]57[/C][C]57[/C][C]57[/C][C]57[/C][C]57[/C][C]57[/C][/ROW]
[ROW][C]0.64[/C][C]57.44[/C][C]58[/C][C]58[/C][C]58[/C][C]57.8[/C][C]57[/C][C]58[/C][C]58[/C][/ROW]
[ROW][C]0.65[/C][C]58[/C][C]58[/C][C]58[/C][C]58[/C][C]58[/C][C]58[/C][C]58[/C][C]58[/C][/ROW]
[ROW][C]0.66[/C][C]58[/C][C]58[/C][C]58[/C][C]58[/C][C]58[/C][C]58[/C][C]58[/C][C]58[/C][/ROW]
[ROW][C]0.67[/C][C]58[/C][C]58.49[/C][C]58[/C][C]58[/C][C]58.15[/C][C]58[/C][C]58.51[/C][C]58[/C][/ROW]
[ROW][C]0.68[/C][C]59[/C][C]59[/C][C]59[/C][C]59[/C][C]59[/C][C]59[/C][C]59[/C][C]59[/C][/ROW]
[ROW][C]0.69[/C][C]59[/C][C]59.43[/C][C]59[/C][C]59[/C][C]59.05[/C][C]59[/C][C]59.57[/C][C]59[/C][/ROW]
[ROW][C]0.7[/C][C]60[/C][C]60[/C][C]60[/C][C]60[/C][C]60[/C][C]60[/C][C]60[/C][C]60[/C][/ROW]
[ROW][C]0.71[/C][C]60.66[/C][C]61[/C][C]61[/C][C]61[/C][C]60.95[/C][C]61[/C][C]61[/C][C]61[/C][/ROW]
[ROW][C]0.72[/C][C]61.12[/C][C]61.84[/C][C]62[/C][C]62[/C][C]61.4[/C][C]61[/C][C]61.16[/C][C]62[/C][/ROW]
[ROW][C]0.73[/C][C]62[/C][C]62[/C][C]62[/C][C]62[/C][C]62[/C][C]62[/C][C]62[/C][C]62[/C][/ROW]
[ROW][C]0.74[/C][C]62.04[/C][C]62.78[/C][C]63[/C][C]63[/C][C]62.3[/C][C]62[/C][C]62.22[/C][C]63[/C][/ROW]
[ROW][C]0.75[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][/ROW]
[ROW][C]0.76[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][/ROW]
[ROW][C]0.77[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][/ROW]
[ROW][C]0.78[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][C]63[/C][/ROW]
[ROW][C]0.79[/C][C]63.34[/C][C]64.13[/C][C]64[/C][C]64[/C][C]63.55[/C][C]63[/C][C]64.87[/C][C]64[/C][/ROW]
[ROW][C]0.8[/C][C]64.8[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][/ROW]
[ROW][C]0.81[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][/ROW]
[ROW][C]0.82[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][/ROW]
[ROW][C]0.83[/C][C]65.18[/C][C]66[/C][C]66[/C][C]66[/C][C]65.35[/C][C]65[/C][C]66[/C][C]66[/C][/ROW]
[ROW][C]0.84[/C][C]66[/C][C]66[/C][C]66[/C][C]66[/C][C]66[/C][C]66[/C][C]66[/C][C]66[/C][/ROW]
[ROW][C]0.85[/C][C]66[/C][C]66[/C][C]66[/C][C]66[/C][C]66[/C][C]66[/C][C]66[/C][C]66[/C][/ROW]
[ROW][C]0.86[/C][C]66.56[/C][C]67[/C][C]67[/C][C]67[/C][C]66.7[/C][C]67[/C][C]67[/C][C]67[/C][/ROW]
[ROW][C]0.87[/C][C]67[/C][C]67[/C][C]67[/C][C]67[/C][C]67[/C][C]67[/C][C]67[/C][C]67[/C][/ROW]
[ROW][C]0.88[/C][C]67.48[/C][C]68[/C][C]68[/C][C]68[/C][C]67.6[/C][C]67[/C][C]68[/C][C]68[/C][/ROW]
[ROW][C]0.89[/C][C]68[/C][C]68[/C][C]68[/C][C]68[/C][C]68[/C][C]68[/C][C]68[/C][C]68[/C][/ROW]
[ROW][C]0.9[/C][C]68.4[/C][C]69[/C][C]69[/C][C]69[/C][C]68.5[/C][C]68[/C][C]69[/C][C]69[/C][/ROW]
[ROW][C]0.91[/C][C]69[/C][C]69.77[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69.23[/C][C]70[/C][/ROW]
[ROW][C]0.92[/C][C]70[/C][C]70[/C][C]70[/C][C]70[/C][C]70[/C][C]70[/C][C]70[/C][C]70[/C][/ROW]
[ROW][C]0.93[/C][C]70[/C][C]70[/C][C]70[/C][C]70[/C][C]70[/C][C]70[/C][C]70[/C][C]70[/C][/ROW]
[ROW][C]0.94[/C][C]70.48[/C][C]72[/C][C]72[/C][C]72[/C][C]70.6[/C][C]70[/C][C]72[/C][C]72[/C][/ROW]
[ROW][C]0.95[/C][C]72[/C][C]72[/C][C]72[/C][C]72[/C][C]72[/C][C]72[/C][C]72[/C][C]72[/C][/ROW]
[ROW][C]0.96[/C][C]72[/C][C]72.12[/C][C]72[/C][C]72[/C][C]72[/C][C]72[/C][C]72.88[/C][C]72[/C][/ROW]
[ROW][C]0.97[/C][C]72.62[/C][C]74.18[/C][C]73[/C][C]73[/C][C]72.65[/C][C]73[/C][C]73.82[/C][C]75[/C][/ROW]
[ROW][C]0.98[/C][C]75.08[/C][C]76.12[/C][C]76[/C][C]76[/C][C]75.1[/C][C]75[/C][C]77.88[/C][C]76[/C][/ROW]
[ROW][C]0.99[/C][C]77.08[/C][C]78[/C][C]78[/C][C]78[/C][C]77.1[/C][C]78[/C][C]78[/C][C]78[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113118&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113118&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)
0.0118.4618.47191920.81818.5318
0.0222.6822.76232324.82319.2423
0.0325.7625.822727272526.1825
0.042727272727.8272727
0.0528.628.7303030.252829.328
0.0630.7630.82313131.73130.1831
0.0732.4432.583434343233.4232
0.083434343434343434
0.0934.1434.23353535.053434.7734
0.135.635.73636373635.336
0.113838383838383838
0.1238.5238.643939393938.3639
0.133939393939393939
0.143939393939393939
0.153939393939393939
0.163939393939.2393939
0.1739.8239.994040404039.0140
0.184040404040404040
0.194040404040404040
0.240.240.44141414040.640
0.2141.6641.874242424241.1342
0.2242.1242.34434342.94242.6642
0.2343.5843.81444444.354443.1944
0.244545454545454545
0.254545454545454545
0.264545454545454545
0.274545454545.15454545
0.2845.8846464646464646
0.294646464646464646
0.34646464646464646
0.314646464646464646
0.324646464646464646
0.3346.1846.51474746.854646.4947
0.344747474747.3474747
0.354848484848484848
0.3648.5648.924949494948.0849
0.374949494949494949
0.384949494949494949
0.394949494949494949
0.44949494949494949
0.414949494949494949
0.424949494949494949
0.4349.7850505050505050
0.445050505050505050
0.455050505050505050
0.4650.1650.62515150.75050.3851
0.475151515151515151
0.485151515151515151
0.495151515151515151
0.55151.55151.551.55151.551.5
0.515252525252525252
0.5252.9253535353535353
0.535353535353535353
0.5453.8454545454545454
0.555454545454545454
0.565454545454545454
0.5754.2254.79555554.655454.2155
0.585555555555555555
0.5955.1455.73565655.555555.2756
0.65656565656565656
0.615656565656565656
0.6256.5257575756.9575757
0.635757575757575757
0.6457.4458585857.8575858
0.655858585858585858
0.665858585858585858
0.675858.49585858.155858.5158
0.685959595959595959
0.695959.43595959.055959.5759
0.76060606060606060
0.7160.6661616160.95616161
0.7261.1261.84626261.46161.1662
0.736262626262626262
0.7462.0462.78636362.36262.2263
0.756363636363636363
0.766363636363636363
0.776363636363636363
0.786363636363636363
0.7963.3464.13646463.556364.8764
0.864.865656565656565
0.816565656565656565
0.826565656565656565
0.8365.1866666665.35656666
0.846666666666666666
0.856666666666666666
0.8666.5667676766.7676767
0.876767676767676767
0.8867.4868686867.6676868
0.896868686868686868
0.968.469696968.5686969
0.916969.776969696969.2370
0.927070707070707070
0.937070707070707070
0.9470.4872727270.6707272
0.957272727272727272
0.967272.127272727272.8872
0.9772.6274.18737372.657373.8275
0.9875.0876.12767675.17577.8876
0.9977.0878787877.1787878



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')