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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 computationFri, 10 Dec 2010 19:01:09 +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/10/t1292007603g28516ootri1f27.htm/, Retrieved Mon, 29 Apr 2024 16:18:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107894, Retrieved Mon, 29 Apr 2024 16:18:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Percentiles] [Q-Q Plot - Totale...] [2010-12-10 19:01:09] [93ab421e12cd1017d2b38fdbcbdb62e0] [Current]
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Dataseries X:
85
76
78
67
69
67
70
72
70
69
81
87
67
64
68
62
70
56
74
96
85
100
76
81
69
71
75
71
80
67
74
101
89
84
77
92
87
63
102
85
97
79
65
72
74
66
76
94
84
86
74
68
70
42
110
83
78
69
52
64
71
74
76
72
55
85
80
76
57
75
75
65
90
96
81
73
67
78
72
83
85
60
73
79
69
75
73
69
97
65
79
48
58
75
70
106
91
93
65
71
81
59
78
72
78
72
64
75
87
64
54
82
73
96
63
63
75
63
85
56
77
61
86
55
73
77
59
74
72
92
81
61
65
55
67
95
68
73
67
82
85
96
103
69
85
89
91
68
56
74
73
92
106
70
88
64
85
82
99




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107894&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107894&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107894&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24







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)
0.0145.5445.6484850.324844.448
0.0252.3652.4545454.165253.652
0.0354.7754.85555555554.255
0.045555555555.32555555
0.0555.9556565656565656
0.065656565656.48565656
0.0757.1357.2585858.065757.857
0.0858.7258.85959595958.259
0.0959.3159.4606060.225959.659
0.160.961616161616161
0.1161.4961.6626262.386161.462
0.126363636363636363
0.136363636363636363
0.1463.2663.46464646363.663
0.156464646464646464
0.166464646464646464
0.1764.0364.2656564.866464.864
0.186565656565656565
0.196565656565656565
0.26565656565.6656565
0.2166.3966.66767676666.467
0.226767676767676767
0.236767676767676767
0.246767676767676767
0.256767676767.5676767
0.266868686868686868
0.276868686868686868
0.2868.5268.86969696968.269
0.296969696969696969
0.36969696969696969
0.316969696969696969
0.326969.2696969.566969.869
0.337070707070707070
0.347070707070707070
0.357070707070707070
0.3670.2470.6717170.887070.471
0.377171717171717171
0.387171717171.04717171
0.397272727272727272
0.47272727272727272
0.417272727272727272
0.427272727272727272
0.4372.3772.8737372.947272.273
0.447373737373737373
0.457373737373737373
0.467373737373737373
0.477373.2737373.267373.873
0.487474747474747474
0.497474747474747474
0.57474747474747474
0.517474747474747474
0.5274.6875757575757575
0.537575757575757575
0.547575757575757575
0.557575757575757575
0.5675.0475.6767675.487575.476
0.577676767676767676
0.587676767676767676
0.597676.4767676.227676.676
0.67777777777777777
0.617777.6777777.387777.478
0.627878787878787878
0.637878787878787878
0.647878.4787878.127878.678
0.657979797979797979
0.667979.6797979.287979.480
0.678080.28080808080.880
0.688181818181818181
0.698181818181818181
0.78181818181818181
0.7181.8982828282828282
0.728282.28282828282.882
0.738383838383838383
0.7483.6684848483.92848484
0.7584.2585858584.5848585
0.768585858585858585
0.778585858585858585
0.788585858585858585
0.798585858585858585
0.88585858585858585
0.8185.7986868685.98868686
0.8286.3887878786.56868787
0.838787878787878787
0.8487.5688.4888887.728888.688
0.858989898989898989
0.8689.7490.6909089.889090.491
0.879191.29191919191.891
0.8891.9292929292929292
0.899292.49292929292.692
0.993.194949493.2939494
0.9194.6995.6959594.789595.496
0.929696969696969696
0.939696969696969696
0.9496.4697979796.52969797
0.9597.199999997.2979999
0.9699.64100.610010099.68100100.4101
0.97101.23102.2102102101.26101102.8102
0.98102.82105.4103103102.84103103.6106
0.99106107.6106106106106108.4106

\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 & 45.54 & 45.6 & 48 & 48 & 50.32 & 48 & 44.4 & 48 \tabularnewline
0.02 & 52.36 & 52.4 & 54 & 54 & 54.16 & 52 & 53.6 & 52 \tabularnewline
0.03 & 54.77 & 54.8 & 55 & 55 & 55 & 55 & 54.2 & 55 \tabularnewline
0.04 & 55 & 55 & 55 & 55 & 55.32 & 55 & 55 & 55 \tabularnewline
0.05 & 55.95 & 56 & 56 & 56 & 56 & 56 & 56 & 56 \tabularnewline
0.06 & 56 & 56 & 56 & 56 & 56.48 & 56 & 56 & 56 \tabularnewline
0.07 & 57.13 & 57.2 & 58 & 58 & 58.06 & 57 & 57.8 & 57 \tabularnewline
0.08 & 58.72 & 58.8 & 59 & 59 & 59 & 59 & 58.2 & 59 \tabularnewline
0.09 & 59.31 & 59.4 & 60 & 60 & 60.22 & 59 & 59.6 & 59 \tabularnewline
0.1 & 60.9 & 61 & 61 & 61 & 61 & 61 & 61 & 61 \tabularnewline
0.11 & 61.49 & 61.6 & 62 & 62 & 62.38 & 61 & 61.4 & 62 \tabularnewline
0.12 & 63 & 63 & 63 & 63 & 63 & 63 & 63 & 63 \tabularnewline
0.13 & 63 & 63 & 63 & 63 & 63 & 63 & 63 & 63 \tabularnewline
0.14 & 63.26 & 63.4 & 64 & 64 & 64 & 63 & 63.6 & 63 \tabularnewline
0.15 & 64 & 64 & 64 & 64 & 64 & 64 & 64 & 64 \tabularnewline
0.16 & 64 & 64 & 64 & 64 & 64 & 64 & 64 & 64 \tabularnewline
0.17 & 64.03 & 64.2 & 65 & 65 & 64.86 & 64 & 64.8 & 64 \tabularnewline
0.18 & 65 & 65 & 65 & 65 & 65 & 65 & 65 & 65 \tabularnewline
0.19 & 65 & 65 & 65 & 65 & 65 & 65 & 65 & 65 \tabularnewline
0.2 & 65 & 65 & 65 & 65 & 65.6 & 65 & 65 & 65 \tabularnewline
0.21 & 66.39 & 66.6 & 67 & 67 & 67 & 66 & 66.4 & 67 \tabularnewline
0.22 & 67 & 67 & 67 & 67 & 67 & 67 & 67 & 67 \tabularnewline
0.23 & 67 & 67 & 67 & 67 & 67 & 67 & 67 & 67 \tabularnewline
0.24 & 67 & 67 & 67 & 67 & 67 & 67 & 67 & 67 \tabularnewline
0.25 & 67 & 67 & 67 & 67 & 67.5 & 67 & 67 & 67 \tabularnewline
0.26 & 68 & 68 & 68 & 68 & 68 & 68 & 68 & 68 \tabularnewline
0.27 & 68 & 68 & 68 & 68 & 68 & 68 & 68 & 68 \tabularnewline
0.28 & 68.52 & 68.8 & 69 & 69 & 69 & 69 & 68.2 & 69 \tabularnewline
0.29 & 69 & 69 & 69 & 69 & 69 & 69 & 69 & 69 \tabularnewline
0.3 & 69 & 69 & 69 & 69 & 69 & 69 & 69 & 69 \tabularnewline
0.31 & 69 & 69 & 69 & 69 & 69 & 69 & 69 & 69 \tabularnewline
0.32 & 69 & 69.2 & 69 & 69 & 69.56 & 69 & 69.8 & 69 \tabularnewline
0.33 & 70 & 70 & 70 & 70 & 70 & 70 & 70 & 70 \tabularnewline
0.34 & 70 & 70 & 70 & 70 & 70 & 70 & 70 & 70 \tabularnewline
0.35 & 70 & 70 & 70 & 70 & 70 & 70 & 70 & 70 \tabularnewline
0.36 & 70.24 & 70.6 & 71 & 71 & 70.88 & 70 & 70.4 & 71 \tabularnewline
0.37 & 71 & 71 & 71 & 71 & 71 & 71 & 71 & 71 \tabularnewline
0.38 & 71 & 71 & 71 & 71 & 71.04 & 71 & 71 & 71 \tabularnewline
0.39 & 72 & 72 & 72 & 72 & 72 & 72 & 72 & 72 \tabularnewline
0.4 & 72 & 72 & 72 & 72 & 72 & 72 & 72 & 72 \tabularnewline
0.41 & 72 & 72 & 72 & 72 & 72 & 72 & 72 & 72 \tabularnewline
0.42 & 72 & 72 & 72 & 72 & 72 & 72 & 72 & 72 \tabularnewline
0.43 & 72.37 & 72.8 & 73 & 73 & 72.94 & 72 & 72.2 & 73 \tabularnewline
0.44 & 73 & 73 & 73 & 73 & 73 & 73 & 73 & 73 \tabularnewline
0.45 & 73 & 73 & 73 & 73 & 73 & 73 & 73 & 73 \tabularnewline
0.46 & 73 & 73 & 73 & 73 & 73 & 73 & 73 & 73 \tabularnewline
0.47 & 73 & 73.2 & 73 & 73 & 73.26 & 73 & 73.8 & 73 \tabularnewline
0.48 & 74 & 74 & 74 & 74 & 74 & 74 & 74 & 74 \tabularnewline
0.49 & 74 & 74 & 74 & 74 & 74 & 74 & 74 & 74 \tabularnewline
0.5 & 74 & 74 & 74 & 74 & 74 & 74 & 74 & 74 \tabularnewline
0.51 & 74 & 74 & 74 & 74 & 74 & 74 & 74 & 74 \tabularnewline
0.52 & 74.68 & 75 & 75 & 75 & 75 & 75 & 75 & 75 \tabularnewline
0.53 & 75 & 75 & 75 & 75 & 75 & 75 & 75 & 75 \tabularnewline
0.54 & 75 & 75 & 75 & 75 & 75 & 75 & 75 & 75 \tabularnewline
0.55 & 75 & 75 & 75 & 75 & 75 & 75 & 75 & 75 \tabularnewline
0.56 & 75.04 & 75.6 & 76 & 76 & 75.48 & 75 & 75.4 & 76 \tabularnewline
0.57 & 76 & 76 & 76 & 76 & 76 & 76 & 76 & 76 \tabularnewline
0.58 & 76 & 76 & 76 & 76 & 76 & 76 & 76 & 76 \tabularnewline
0.59 & 76 & 76.4 & 76 & 76 & 76.22 & 76 & 76.6 & 76 \tabularnewline
0.6 & 77 & 77 & 77 & 77 & 77 & 77 & 77 & 77 \tabularnewline
0.61 & 77 & 77.6 & 77 & 77 & 77.38 & 77 & 77.4 & 78 \tabularnewline
0.62 & 78 & 78 & 78 & 78 & 78 & 78 & 78 & 78 \tabularnewline
0.63 & 78 & 78 & 78 & 78 & 78 & 78 & 78 & 78 \tabularnewline
0.64 & 78 & 78.4 & 78 & 78 & 78.12 & 78 & 78.6 & 78 \tabularnewline
0.65 & 79 & 79 & 79 & 79 & 79 & 79 & 79 & 79 \tabularnewline
0.66 & 79 & 79.6 & 79 & 79 & 79.28 & 79 & 79.4 & 80 \tabularnewline
0.67 & 80 & 80.2 & 80 & 80 & 80 & 80 & 80.8 & 80 \tabularnewline
0.68 & 81 & 81 & 81 & 81 & 81 & 81 & 81 & 81 \tabularnewline
0.69 & 81 & 81 & 81 & 81 & 81 & 81 & 81 & 81 \tabularnewline
0.7 & 81 & 81 & 81 & 81 & 81 & 81 & 81 & 81 \tabularnewline
0.71 & 81.89 & 82 & 82 & 82 & 82 & 82 & 82 & 82 \tabularnewline
0.72 & 82 & 82.2 & 82 & 82 & 82 & 82 & 82.8 & 82 \tabularnewline
0.73 & 83 & 83 & 83 & 83 & 83 & 83 & 83 & 83 \tabularnewline
0.74 & 83.66 & 84 & 84 & 84 & 83.92 & 84 & 84 & 84 \tabularnewline
0.75 & 84.25 & 85 & 85 & 85 & 84.5 & 84 & 85 & 85 \tabularnewline
0.76 & 85 & 85 & 85 & 85 & 85 & 85 & 85 & 85 \tabularnewline
0.77 & 85 & 85 & 85 & 85 & 85 & 85 & 85 & 85 \tabularnewline
0.78 & 85 & 85 & 85 & 85 & 85 & 85 & 85 & 85 \tabularnewline
0.79 & 85 & 85 & 85 & 85 & 85 & 85 & 85 & 85 \tabularnewline
0.8 & 85 & 85 & 85 & 85 & 85 & 85 & 85 & 85 \tabularnewline
0.81 & 85.79 & 86 & 86 & 86 & 85.98 & 86 & 86 & 86 \tabularnewline
0.82 & 86.38 & 87 & 87 & 87 & 86.56 & 86 & 87 & 87 \tabularnewline
0.83 & 87 & 87 & 87 & 87 & 87 & 87 & 87 & 87 \tabularnewline
0.84 & 87.56 & 88.4 & 88 & 88 & 87.72 & 88 & 88.6 & 88 \tabularnewline
0.85 & 89 & 89 & 89 & 89 & 89 & 89 & 89 & 89 \tabularnewline
0.86 & 89.74 & 90.6 & 90 & 90 & 89.88 & 90 & 90.4 & 91 \tabularnewline
0.87 & 91 & 91.2 & 91 & 91 & 91 & 91 & 91.8 & 91 \tabularnewline
0.88 & 91.92 & 92 & 92 & 92 & 92 & 92 & 92 & 92 \tabularnewline
0.89 & 92 & 92.4 & 92 & 92 & 92 & 92 & 92.6 & 92 \tabularnewline
0.9 & 93.1 & 94 & 94 & 94 & 93.2 & 93 & 94 & 94 \tabularnewline
0.91 & 94.69 & 95.6 & 95 & 95 & 94.78 & 95 & 95.4 & 96 \tabularnewline
0.92 & 96 & 96 & 96 & 96 & 96 & 96 & 96 & 96 \tabularnewline
0.93 & 96 & 96 & 96 & 96 & 96 & 96 & 96 & 96 \tabularnewline
0.94 & 96.46 & 97 & 97 & 97 & 96.52 & 96 & 97 & 97 \tabularnewline
0.95 & 97.1 & 99 & 99 & 99 & 97.2 & 97 & 99 & 99 \tabularnewline
0.96 & 99.64 & 100.6 & 100 & 100 & 99.68 & 100 & 100.4 & 101 \tabularnewline
0.97 & 101.23 & 102.2 & 102 & 102 & 101.26 & 101 & 102.8 & 102 \tabularnewline
0.98 & 102.82 & 105.4 & 103 & 103 & 102.84 & 103 & 103.6 & 106 \tabularnewline
0.99 & 106 & 107.6 & 106 & 106 & 106 & 106 & 108.4 & 106 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107894&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]45.54[/C][C]45.6[/C][C]48[/C][C]48[/C][C]50.32[/C][C]48[/C][C]44.4[/C][C]48[/C][/ROW]
[ROW][C]0.02[/C][C]52.36[/C][C]52.4[/C][C]54[/C][C]54[/C][C]54.16[/C][C]52[/C][C]53.6[/C][C]52[/C][/ROW]
[ROW][C]0.03[/C][C]54.77[/C][C]54.8[/C][C]55[/C][C]55[/C][C]55[/C][C]55[/C][C]54.2[/C][C]55[/C][/ROW]
[ROW][C]0.04[/C][C]55[/C][C]55[/C][C]55[/C][C]55[/C][C]55.32[/C][C]55[/C][C]55[/C][C]55[/C][/ROW]
[ROW][C]0.05[/C][C]55.95[/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]0.06[/C][C]56[/C][C]56[/C][C]56[/C][C]56[/C][C]56.48[/C][C]56[/C][C]56[/C][C]56[/C][/ROW]
[ROW][C]0.07[/C][C]57.13[/C][C]57.2[/C][C]58[/C][C]58[/C][C]58.06[/C][C]57[/C][C]57.8[/C][C]57[/C][/ROW]
[ROW][C]0.08[/C][C]58.72[/C][C]58.8[/C][C]59[/C][C]59[/C][C]59[/C][C]59[/C][C]58.2[/C][C]59[/C][/ROW]
[ROW][C]0.09[/C][C]59.31[/C][C]59.4[/C][C]60[/C][C]60[/C][C]60.22[/C][C]59[/C][C]59.6[/C][C]59[/C][/ROW]
[ROW][C]0.1[/C][C]60.9[/C][C]61[/C][C]61[/C][C]61[/C][C]61[/C][C]61[/C][C]61[/C][C]61[/C][/ROW]
[ROW][C]0.11[/C][C]61.49[/C][C]61.6[/C][C]62[/C][C]62[/C][C]62.38[/C][C]61[/C][C]61.4[/C][C]62[/C][/ROW]
[ROW][C]0.12[/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]0.13[/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]0.14[/C][C]63.26[/C][C]63.4[/C][C]64[/C][C]64[/C][C]64[/C][C]63[/C][C]63.6[/C][C]63[/C][/ROW]
[ROW][C]0.15[/C][C]64[/C][C]64[/C][C]64[/C][C]64[/C][C]64[/C][C]64[/C][C]64[/C][C]64[/C][/ROW]
[ROW][C]0.16[/C][C]64[/C][C]64[/C][C]64[/C][C]64[/C][C]64[/C][C]64[/C][C]64[/C][C]64[/C][/ROW]
[ROW][C]0.17[/C][C]64.03[/C][C]64.2[/C][C]65[/C][C]65[/C][C]64.86[/C][C]64[/C][C]64.8[/C][C]64[/C][/ROW]
[ROW][C]0.18[/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]0.19[/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]0.2[/C][C]65[/C][C]65[/C][C]65[/C][C]65[/C][C]65.6[/C][C]65[/C][C]65[/C][C]65[/C][/ROW]
[ROW][C]0.21[/C][C]66.39[/C][C]66.6[/C][C]67[/C][C]67[/C][C]67[/C][C]66[/C][C]66.4[/C][C]67[/C][/ROW]
[ROW][C]0.22[/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]0.23[/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]0.24[/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]0.25[/C][C]67[/C][C]67[/C][C]67[/C][C]67[/C][C]67.5[/C][C]67[/C][C]67[/C][C]67[/C][/ROW]
[ROW][C]0.26[/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]0.27[/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]0.28[/C][C]68.52[/C][C]68.8[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]68.2[/C][C]69[/C][/ROW]
[ROW][C]0.29[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][/ROW]
[ROW][C]0.3[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][/ROW]
[ROW][C]0.31[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][C]69[/C][/ROW]
[ROW][C]0.32[/C][C]69[/C][C]69.2[/C][C]69[/C][C]69[/C][C]69.56[/C][C]69[/C][C]69.8[/C][C]69[/C][/ROW]
[ROW][C]0.33[/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]0.34[/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]0.35[/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]0.36[/C][C]70.24[/C][C]70.6[/C][C]71[/C][C]71[/C][C]70.88[/C][C]70[/C][C]70.4[/C][C]71[/C][/ROW]
[ROW][C]0.37[/C][C]71[/C][C]71[/C][C]71[/C][C]71[/C][C]71[/C][C]71[/C][C]71[/C][C]71[/C][/ROW]
[ROW][C]0.38[/C][C]71[/C][C]71[/C][C]71[/C][C]71[/C][C]71.04[/C][C]71[/C][C]71[/C][C]71[/C][/ROW]
[ROW][C]0.39[/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]0.4[/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]0.41[/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]0.42[/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]0.43[/C][C]72.37[/C][C]72.8[/C][C]73[/C][C]73[/C][C]72.94[/C][C]72[/C][C]72.2[/C][C]73[/C][/ROW]
[ROW][C]0.44[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][/ROW]
[ROW][C]0.45[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][/ROW]
[ROW][C]0.46[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][C]73[/C][/ROW]
[ROW][C]0.47[/C][C]73[/C][C]73.2[/C][C]73[/C][C]73[/C][C]73.26[/C][C]73[/C][C]73.8[/C][C]73[/C][/ROW]
[ROW][C]0.48[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][/ROW]
[ROW][C]0.49[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][/ROW]
[ROW][C]0.5[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][/ROW]
[ROW][C]0.51[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][C]74[/C][/ROW]
[ROW][C]0.52[/C][C]74.68[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][/ROW]
[ROW][C]0.53[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][/ROW]
[ROW][C]0.54[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][/ROW]
[ROW][C]0.55[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][C]75[/C][/ROW]
[ROW][C]0.56[/C][C]75.04[/C][C]75.6[/C][C]76[/C][C]76[/C][C]75.48[/C][C]75[/C][C]75.4[/C][C]76[/C][/ROW]
[ROW][C]0.57[/C][C]76[/C][C]76[/C][C]76[/C][C]76[/C][C]76[/C][C]76[/C][C]76[/C][C]76[/C][/ROW]
[ROW][C]0.58[/C][C]76[/C][C]76[/C][C]76[/C][C]76[/C][C]76[/C][C]76[/C][C]76[/C][C]76[/C][/ROW]
[ROW][C]0.59[/C][C]76[/C][C]76.4[/C][C]76[/C][C]76[/C][C]76.22[/C][C]76[/C][C]76.6[/C][C]76[/C][/ROW]
[ROW][C]0.6[/C][C]77[/C][C]77[/C][C]77[/C][C]77[/C][C]77[/C][C]77[/C][C]77[/C][C]77[/C][/ROW]
[ROW][C]0.61[/C][C]77[/C][C]77.6[/C][C]77[/C][C]77[/C][C]77.38[/C][C]77[/C][C]77.4[/C][C]78[/C][/ROW]
[ROW][C]0.62[/C][C]78[/C][C]78[/C][C]78[/C][C]78[/C][C]78[/C][C]78[/C][C]78[/C][C]78[/C][/ROW]
[ROW][C]0.63[/C][C]78[/C][C]78[/C][C]78[/C][C]78[/C][C]78[/C][C]78[/C][C]78[/C][C]78[/C][/ROW]
[ROW][C]0.64[/C][C]78[/C][C]78.4[/C][C]78[/C][C]78[/C][C]78.12[/C][C]78[/C][C]78.6[/C][C]78[/C][/ROW]
[ROW][C]0.65[/C][C]79[/C][C]79[/C][C]79[/C][C]79[/C][C]79[/C][C]79[/C][C]79[/C][C]79[/C][/ROW]
[ROW][C]0.66[/C][C]79[/C][C]79.6[/C][C]79[/C][C]79[/C][C]79.28[/C][C]79[/C][C]79.4[/C][C]80[/C][/ROW]
[ROW][C]0.67[/C][C]80[/C][C]80.2[/C][C]80[/C][C]80[/C][C]80[/C][C]80[/C][C]80.8[/C][C]80[/C][/ROW]
[ROW][C]0.68[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][/ROW]
[ROW][C]0.69[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][/ROW]
[ROW][C]0.7[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][C]81[/C][/ROW]
[ROW][C]0.71[/C][C]81.89[/C][C]82[/C][C]82[/C][C]82[/C][C]82[/C][C]82[/C][C]82[/C][C]82[/C][/ROW]
[ROW][C]0.72[/C][C]82[/C][C]82.2[/C][C]82[/C][C]82[/C][C]82[/C][C]82[/C][C]82.8[/C][C]82[/C][/ROW]
[ROW][C]0.73[/C][C]83[/C][C]83[/C][C]83[/C][C]83[/C][C]83[/C][C]83[/C][C]83[/C][C]83[/C][/ROW]
[ROW][C]0.74[/C][C]83.66[/C][C]84[/C][C]84[/C][C]84[/C][C]83.92[/C][C]84[/C][C]84[/C][C]84[/C][/ROW]
[ROW][C]0.75[/C][C]84.25[/C][C]85[/C][C]85[/C][C]85[/C][C]84.5[/C][C]84[/C][C]85[/C][C]85[/C][/ROW]
[ROW][C]0.76[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][/ROW]
[ROW][C]0.77[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][/ROW]
[ROW][C]0.78[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][/ROW]
[ROW][C]0.79[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][/ROW]
[ROW][C]0.8[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][/ROW]
[ROW][C]0.81[/C][C]85.79[/C][C]86[/C][C]86[/C][C]86[/C][C]85.98[/C][C]86[/C][C]86[/C][C]86[/C][/ROW]
[ROW][C]0.82[/C][C]86.38[/C][C]87[/C][C]87[/C][C]87[/C][C]86.56[/C][C]86[/C][C]87[/C][C]87[/C][/ROW]
[ROW][C]0.83[/C][C]87[/C][C]87[/C][C]87[/C][C]87[/C][C]87[/C][C]87[/C][C]87[/C][C]87[/C][/ROW]
[ROW][C]0.84[/C][C]87.56[/C][C]88.4[/C][C]88[/C][C]88[/C][C]87.72[/C][C]88[/C][C]88.6[/C][C]88[/C][/ROW]
[ROW][C]0.85[/C][C]89[/C][C]89[/C][C]89[/C][C]89[/C][C]89[/C][C]89[/C][C]89[/C][C]89[/C][/ROW]
[ROW][C]0.86[/C][C]89.74[/C][C]90.6[/C][C]90[/C][C]90[/C][C]89.88[/C][C]90[/C][C]90.4[/C][C]91[/C][/ROW]
[ROW][C]0.87[/C][C]91[/C][C]91.2[/C][C]91[/C][C]91[/C][C]91[/C][C]91[/C][C]91.8[/C][C]91[/C][/ROW]
[ROW][C]0.88[/C][C]91.92[/C][C]92[/C][C]92[/C][C]92[/C][C]92[/C][C]92[/C][C]92[/C][C]92[/C][/ROW]
[ROW][C]0.89[/C][C]92[/C][C]92.4[/C][C]92[/C][C]92[/C][C]92[/C][C]92[/C][C]92.6[/C][C]92[/C][/ROW]
[ROW][C]0.9[/C][C]93.1[/C][C]94[/C][C]94[/C][C]94[/C][C]93.2[/C][C]93[/C][C]94[/C][C]94[/C][/ROW]
[ROW][C]0.91[/C][C]94.69[/C][C]95.6[/C][C]95[/C][C]95[/C][C]94.78[/C][C]95[/C][C]95.4[/C][C]96[/C][/ROW]
[ROW][C]0.92[/C][C]96[/C][C]96[/C][C]96[/C][C]96[/C][C]96[/C][C]96[/C][C]96[/C][C]96[/C][/ROW]
[ROW][C]0.93[/C][C]96[/C][C]96[/C][C]96[/C][C]96[/C][C]96[/C][C]96[/C][C]96[/C][C]96[/C][/ROW]
[ROW][C]0.94[/C][C]96.46[/C][C]97[/C][C]97[/C][C]97[/C][C]96.52[/C][C]96[/C][C]97[/C][C]97[/C][/ROW]
[ROW][C]0.95[/C][C]97.1[/C][C]99[/C][C]99[/C][C]99[/C][C]97.2[/C][C]97[/C][C]99[/C][C]99[/C][/ROW]
[ROW][C]0.96[/C][C]99.64[/C][C]100.6[/C][C]100[/C][C]100[/C][C]99.68[/C][C]100[/C][C]100.4[/C][C]101[/C][/ROW]
[ROW][C]0.97[/C][C]101.23[/C][C]102.2[/C][C]102[/C][C]102[/C][C]101.26[/C][C]101[/C][C]102.8[/C][C]102[/C][/ROW]
[ROW][C]0.98[/C][C]102.82[/C][C]105.4[/C][C]103[/C][C]103[/C][C]102.84[/C][C]103[/C][C]103.6[/C][C]106[/C][/ROW]
[ROW][C]0.99[/C][C]106[/C][C]107.6[/C][C]106[/C][C]106[/C][C]106[/C][C]106[/C][C]108.4[/C][C]106[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107894&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107894&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)
0.0145.5445.6484850.324844.448
0.0252.3652.4545454.165253.652
0.0354.7754.85555555554.255
0.045555555555.32555555
0.0555.9556565656565656
0.065656565656.48565656
0.0757.1357.2585858.065757.857
0.0858.7258.85959595958.259
0.0959.3159.4606060.225959.659
0.160.961616161616161
0.1161.4961.6626262.386161.462
0.126363636363636363
0.136363636363636363
0.1463.2663.46464646363.663
0.156464646464646464
0.166464646464646464
0.1764.0364.2656564.866464.864
0.186565656565656565
0.196565656565656565
0.26565656565.6656565
0.2166.3966.66767676666.467
0.226767676767676767
0.236767676767676767
0.246767676767676767
0.256767676767.5676767
0.266868686868686868
0.276868686868686868
0.2868.5268.86969696968.269
0.296969696969696969
0.36969696969696969
0.316969696969696969
0.326969.2696969.566969.869
0.337070707070707070
0.347070707070707070
0.357070707070707070
0.3670.2470.6717170.887070.471
0.377171717171717171
0.387171717171.04717171
0.397272727272727272
0.47272727272727272
0.417272727272727272
0.427272727272727272
0.4372.3772.8737372.947272.273
0.447373737373737373
0.457373737373737373
0.467373737373737373
0.477373.2737373.267373.873
0.487474747474747474
0.497474747474747474
0.57474747474747474
0.517474747474747474
0.5274.6875757575757575
0.537575757575757575
0.547575757575757575
0.557575757575757575
0.5675.0475.6767675.487575.476
0.577676767676767676
0.587676767676767676
0.597676.4767676.227676.676
0.67777777777777777
0.617777.6777777.387777.478
0.627878787878787878
0.637878787878787878
0.647878.4787878.127878.678
0.657979797979797979
0.667979.6797979.287979.480
0.678080.28080808080.880
0.688181818181818181
0.698181818181818181
0.78181818181818181
0.7181.8982828282828282
0.728282.28282828282.882
0.738383838383838383
0.7483.6684848483.92848484
0.7584.2585858584.5848585
0.768585858585858585
0.778585858585858585
0.788585858585858585
0.798585858585858585
0.88585858585858585
0.8185.7986868685.98868686
0.8286.3887878786.56868787
0.838787878787878787
0.8487.5688.4888887.728888.688
0.858989898989898989
0.8689.7490.6909089.889090.491
0.879191.29191919191.891
0.8891.9292929292929292
0.899292.49292929292.692
0.993.194949493.2939494
0.9194.6995.6959594.789595.496
0.929696969696969696
0.939696969696969696
0.9496.4697979796.52969797
0.9597.199999997.2979999
0.9699.64100.610010099.68100100.4101
0.97101.23102.2102102101.26101102.8102
0.98102.82105.4103103102.84103103.6106
0.99106107.6106106106106108.4106



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')