Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationMon, 19 Dec 2011 14:15:41 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/19/t1324322153ygrr57rdsenzxdx.htm/, Retrieved Wed, 15 May 2024 19:03:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=157632, Retrieved Wed, 15 May 2024 19:03:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact115
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [] [2011-12-16 13:25:41] [aefb5c2d4042694c5b6b82f93ac1885a]
-   PD  [Multiple Regression] [] [2011-12-18 18:38:59] [aefb5c2d4042694c5b6b82f93ac1885a]
- RMPD      [Percentiles] [] [2011-12-19 19:15:41] [5f7ae77ad4c15dc18491c39fdf8bddde] [Current]
Feedback Forum

Post a new message
Dataseries X:
116
127
106
133
64
89
122
22
117
82
136
184
106
162
86
199
139
92
85
174
148
144
84
208
144
139
127
136
99
135
165
139
178
137
148
127
141
89
46
143
122
103
108
126
45
122
66
180
165
146
137
7
157
61
41
120
208
127
147
127
161
73
94
142
125
87
128
148
116
89
154
67
171
90
133
137
133
125
134
110
89
138
99
92
27
77
127
137
122
143
85
131
90
135
132
139
127
104
221
106
176
130
59
64
36
88
125
124
83
127
143
115
0
94
30
119
102
0
77
9
137
157
146
84
21
139
168
163
167
145
175
137
100
150
163
137
149
112
135
114
45
120
115
78
136
179
118
147
88
115
13
76
63




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157632&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157632&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157632&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.0100003.64000
0.027.127.16999.1678.847
0.0311.3611.48131317.481310.5213
0.0421.1221.16222222.42121.8421
0.0525.2525.5272728.82723.527
0.0631.0831.44363636.63034.5630
0.0739.5539.9414143.564137.141
0.084545454545.16454545
0.0945.7745.86464654.844645.1446
0.159.659.8616161.45960.259
0.1162.6662.88636363.726361.1263
0.126464646464.48646464
0.1365.7866.02666666.766666.9866
0.1469.5270.36737373.846769.6473
0.1575.8576.1767676.87676.976
0.167777777777.32777777
0.1778.0478.72828281.367881.2878
0.1882.5482.72838383.368382.2883
0.198484848484848484
0.284.684.88585858584.285
0.2185.1385.34868685.928585.6685
0.2286.6686.88878787.448786.1287
0.238888888888888888
0.2488.7288.968989898988.0489
0.258989898989898989
0.268989.04898989.528989.9689
0.279090909090.08909090
0.2891.6892929292929292
0.2992.7493.329494949292.6894
0.39495949497949894
0.319999999999.12999999
0.3299.96100.56100100101.28100101.44100
0.33102.49102.82103103103.16102102.18103
0.34104.04104.72106106105.36104105.28104
0.35106106106106106106106106
0.36106.16106.88108108107.44106107.12106
0.37109.22109.96110110110.48110108.04110
0.38112.28113.04114114113.52112112.96114
0.39114.67115115115115115115115
0.4115115115115115115115115
0.41115.73116116116116116116116
0.42116.26116.68117117116.84116116.32117
0.43117.79118.22118118118.36118118.78118
0.44119.32119.76120120119.88119119.24120
0.45120120.6120120120.8120121.4120
0.46122122122122122122122122
0.47122122122122122122122122
0.48122.88123.84124124123.92122122.16124
0.49124.97125125125125125125125
0.5125125125125125125125125
0.51126.03126.54127127126.52126126.46127
0.52127127127127127127127127
0.53127127127127127127127127
0.54127127127127127127127127
0.55127127127127127127127127
0.56127127.24127127127.12127127.76127
0.57128.42129.56130130129.28128128.44130
0.58130.74131.32131131131.16131131.68131
0.59132.27132.86133133132.68132132.14133
0.6133133133133133133133133
0.61133.33133.94134134133.72133133.06134
0.62134.86135135135135135135135
0.63135135.02135135135135135.98135
0.64135.92136136136136136136136
0.65136136.1136136136136136.9136
0.66136.98137137137137137137137
0.67137137137137137137137137
0.68137137137137137137137137
0.69137137137137137137137137
0.7137.1137.8138138137.4137137.2138
0.71138.63139139139138.92139139139
0.72139139139139139139139139
0.73139139139139139139139139
0.74139.44140.92141141139.96139139.08141
0.75141.75142.5142142142142142.5142.5
0.76143143143143143143143143
0.77143143.58143143143.04143143.42144
0.78144144.12144144144144144.88144
0.79144.87145.66145145145.08145145.34146
0.8146146.2146146146146146.8146
0.81146.93147147147147147147147
0.82147.46148148148147.64147148148
0.83148148148148148148148148
0.84148.52149.36149149148.68149149.64149
0.85150.2153.6154154150.8150150.4154
0.86155.74157157157156.16157157157
0.87157.44160.92161161157.96157157.08161
0.88161.64162.52162162161.76162162.48163
0.89163163.12163163163163164.88163
0.9164.4165165165164.6165165165
0.91165.46167.14167167165.64165167.86167
0.92167.76170.04168168167.84168168.96171
0.93171.87174.22174174172.08171174.78174
0.94174.82175.76175175174.88175175.24176
0.95176.7178.3178178176.8176178.7178
0.96178.88179.84179179178.92179179.16180
0.97181.64189.7184184181.76180193.3184
0.98198.1207.28199199198.4199199.72208
0.99208213.98208208208208215.02208

\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 & 0 & 0 & 0 & 0 & 3.64 & 0 & 0 & 0 \tabularnewline
0.02 & 7.12 & 7.16 & 9 & 9 & 9.16 & 7 & 8.84 & 7 \tabularnewline
0.03 & 11.36 & 11.48 & 13 & 13 & 17.48 & 13 & 10.52 & 13 \tabularnewline
0.04 & 21.12 & 21.16 & 22 & 22 & 22.4 & 21 & 21.84 & 21 \tabularnewline
0.05 & 25.25 & 25.5 & 27 & 27 & 28.8 & 27 & 23.5 & 27 \tabularnewline
0.06 & 31.08 & 31.44 & 36 & 36 & 36.6 & 30 & 34.56 & 30 \tabularnewline
0.07 & 39.55 & 39.9 & 41 & 41 & 43.56 & 41 & 37.1 & 41 \tabularnewline
0.08 & 45 & 45 & 45 & 45 & 45.16 & 45 & 45 & 45 \tabularnewline
0.09 & 45.77 & 45.86 & 46 & 46 & 54.84 & 46 & 45.14 & 46 \tabularnewline
0.1 & 59.6 & 59.8 & 61 & 61 & 61.4 & 59 & 60.2 & 59 \tabularnewline
0.11 & 62.66 & 62.88 & 63 & 63 & 63.72 & 63 & 61.12 & 63 \tabularnewline
0.12 & 64 & 64 & 64 & 64 & 64.48 & 64 & 64 & 64 \tabularnewline
0.13 & 65.78 & 66.02 & 66 & 66 & 66.76 & 66 & 66.98 & 66 \tabularnewline
0.14 & 69.52 & 70.36 & 73 & 73 & 73.84 & 67 & 69.64 & 73 \tabularnewline
0.15 & 75.85 & 76.1 & 76 & 76 & 76.8 & 76 & 76.9 & 76 \tabularnewline
0.16 & 77 & 77 & 77 & 77 & 77.32 & 77 & 77 & 77 \tabularnewline
0.17 & 78.04 & 78.72 & 82 & 82 & 81.36 & 78 & 81.28 & 78 \tabularnewline
0.18 & 82.54 & 82.72 & 83 & 83 & 83.36 & 83 & 82.28 & 83 \tabularnewline
0.19 & 84 & 84 & 84 & 84 & 84 & 84 & 84 & 84 \tabularnewline
0.2 & 84.6 & 84.8 & 85 & 85 & 85 & 85 & 84.2 & 85 \tabularnewline
0.21 & 85.13 & 85.34 & 86 & 86 & 85.92 & 85 & 85.66 & 85 \tabularnewline
0.22 & 86.66 & 86.88 & 87 & 87 & 87.44 & 87 & 86.12 & 87 \tabularnewline
0.23 & 88 & 88 & 88 & 88 & 88 & 88 & 88 & 88 \tabularnewline
0.24 & 88.72 & 88.96 & 89 & 89 & 89 & 89 & 88.04 & 89 \tabularnewline
0.25 & 89 & 89 & 89 & 89 & 89 & 89 & 89 & 89 \tabularnewline
0.26 & 89 & 89.04 & 89 & 89 & 89.52 & 89 & 89.96 & 89 \tabularnewline
0.27 & 90 & 90 & 90 & 90 & 90.08 & 90 & 90 & 90 \tabularnewline
0.28 & 91.68 & 92 & 92 & 92 & 92 & 92 & 92 & 92 \tabularnewline
0.29 & 92.74 & 93.32 & 94 & 94 & 94 & 92 & 92.68 & 94 \tabularnewline
0.3 & 94 & 95 & 94 & 94 & 97 & 94 & 98 & 94 \tabularnewline
0.31 & 99 & 99 & 99 & 99 & 99.12 & 99 & 99 & 99 \tabularnewline
0.32 & 99.96 & 100.56 & 100 & 100 & 101.28 & 100 & 101.44 & 100 \tabularnewline
0.33 & 102.49 & 102.82 & 103 & 103 & 103.16 & 102 & 102.18 & 103 \tabularnewline
0.34 & 104.04 & 104.72 & 106 & 106 & 105.36 & 104 & 105.28 & 104 \tabularnewline
0.35 & 106 & 106 & 106 & 106 & 106 & 106 & 106 & 106 \tabularnewline
0.36 & 106.16 & 106.88 & 108 & 108 & 107.44 & 106 & 107.12 & 106 \tabularnewline
0.37 & 109.22 & 109.96 & 110 & 110 & 110.48 & 110 & 108.04 & 110 \tabularnewline
0.38 & 112.28 & 113.04 & 114 & 114 & 113.52 & 112 & 112.96 & 114 \tabularnewline
0.39 & 114.67 & 115 & 115 & 115 & 115 & 115 & 115 & 115 \tabularnewline
0.4 & 115 & 115 & 115 & 115 & 115 & 115 & 115 & 115 \tabularnewline
0.41 & 115.73 & 116 & 116 & 116 & 116 & 116 & 116 & 116 \tabularnewline
0.42 & 116.26 & 116.68 & 117 & 117 & 116.84 & 116 & 116.32 & 117 \tabularnewline
0.43 & 117.79 & 118.22 & 118 & 118 & 118.36 & 118 & 118.78 & 118 \tabularnewline
0.44 & 119.32 & 119.76 & 120 & 120 & 119.88 & 119 & 119.24 & 120 \tabularnewline
0.45 & 120 & 120.6 & 120 & 120 & 120.8 & 120 & 121.4 & 120 \tabularnewline
0.46 & 122 & 122 & 122 & 122 & 122 & 122 & 122 & 122 \tabularnewline
0.47 & 122 & 122 & 122 & 122 & 122 & 122 & 122 & 122 \tabularnewline
0.48 & 122.88 & 123.84 & 124 & 124 & 123.92 & 122 & 122.16 & 124 \tabularnewline
0.49 & 124.97 & 125 & 125 & 125 & 125 & 125 & 125 & 125 \tabularnewline
0.5 & 125 & 125 & 125 & 125 & 125 & 125 & 125 & 125 \tabularnewline
0.51 & 126.03 & 126.54 & 127 & 127 & 126.52 & 126 & 126.46 & 127 \tabularnewline
0.52 & 127 & 127 & 127 & 127 & 127 & 127 & 127 & 127 \tabularnewline
0.53 & 127 & 127 & 127 & 127 & 127 & 127 & 127 & 127 \tabularnewline
0.54 & 127 & 127 & 127 & 127 & 127 & 127 & 127 & 127 \tabularnewline
0.55 & 127 & 127 & 127 & 127 & 127 & 127 & 127 & 127 \tabularnewline
0.56 & 127 & 127.24 & 127 & 127 & 127.12 & 127 & 127.76 & 127 \tabularnewline
0.57 & 128.42 & 129.56 & 130 & 130 & 129.28 & 128 & 128.44 & 130 \tabularnewline
0.58 & 130.74 & 131.32 & 131 & 131 & 131.16 & 131 & 131.68 & 131 \tabularnewline
0.59 & 132.27 & 132.86 & 133 & 133 & 132.68 & 132 & 132.14 & 133 \tabularnewline
0.6 & 133 & 133 & 133 & 133 & 133 & 133 & 133 & 133 \tabularnewline
0.61 & 133.33 & 133.94 & 134 & 134 & 133.72 & 133 & 133.06 & 134 \tabularnewline
0.62 & 134.86 & 135 & 135 & 135 & 135 & 135 & 135 & 135 \tabularnewline
0.63 & 135 & 135.02 & 135 & 135 & 135 & 135 & 135.98 & 135 \tabularnewline
0.64 & 135.92 & 136 & 136 & 136 & 136 & 136 & 136 & 136 \tabularnewline
0.65 & 136 & 136.1 & 136 & 136 & 136 & 136 & 136.9 & 136 \tabularnewline
0.66 & 136.98 & 137 & 137 & 137 & 137 & 137 & 137 & 137 \tabularnewline
0.67 & 137 & 137 & 137 & 137 & 137 & 137 & 137 & 137 \tabularnewline
0.68 & 137 & 137 & 137 & 137 & 137 & 137 & 137 & 137 \tabularnewline
0.69 & 137 & 137 & 137 & 137 & 137 & 137 & 137 & 137 \tabularnewline
0.7 & 137.1 & 137.8 & 138 & 138 & 137.4 & 137 & 137.2 & 138 \tabularnewline
0.71 & 138.63 & 139 & 139 & 139 & 138.92 & 139 & 139 & 139 \tabularnewline
0.72 & 139 & 139 & 139 & 139 & 139 & 139 & 139 & 139 \tabularnewline
0.73 & 139 & 139 & 139 & 139 & 139 & 139 & 139 & 139 \tabularnewline
0.74 & 139.44 & 140.92 & 141 & 141 & 139.96 & 139 & 139.08 & 141 \tabularnewline
0.75 & 141.75 & 142.5 & 142 & 142 & 142 & 142 & 142.5 & 142.5 \tabularnewline
0.76 & 143 & 143 & 143 & 143 & 143 & 143 & 143 & 143 \tabularnewline
0.77 & 143 & 143.58 & 143 & 143 & 143.04 & 143 & 143.42 & 144 \tabularnewline
0.78 & 144 & 144.12 & 144 & 144 & 144 & 144 & 144.88 & 144 \tabularnewline
0.79 & 144.87 & 145.66 & 145 & 145 & 145.08 & 145 & 145.34 & 146 \tabularnewline
0.8 & 146 & 146.2 & 146 & 146 & 146 & 146 & 146.8 & 146 \tabularnewline
0.81 & 146.93 & 147 & 147 & 147 & 147 & 147 & 147 & 147 \tabularnewline
0.82 & 147.46 & 148 & 148 & 148 & 147.64 & 147 & 148 & 148 \tabularnewline
0.83 & 148 & 148 & 148 & 148 & 148 & 148 & 148 & 148 \tabularnewline
0.84 & 148.52 & 149.36 & 149 & 149 & 148.68 & 149 & 149.64 & 149 \tabularnewline
0.85 & 150.2 & 153.6 & 154 & 154 & 150.8 & 150 & 150.4 & 154 \tabularnewline
0.86 & 155.74 & 157 & 157 & 157 & 156.16 & 157 & 157 & 157 \tabularnewline
0.87 & 157.44 & 160.92 & 161 & 161 & 157.96 & 157 & 157.08 & 161 \tabularnewline
0.88 & 161.64 & 162.52 & 162 & 162 & 161.76 & 162 & 162.48 & 163 \tabularnewline
0.89 & 163 & 163.12 & 163 & 163 & 163 & 163 & 164.88 & 163 \tabularnewline
0.9 & 164.4 & 165 & 165 & 165 & 164.6 & 165 & 165 & 165 \tabularnewline
0.91 & 165.46 & 167.14 & 167 & 167 & 165.64 & 165 & 167.86 & 167 \tabularnewline
0.92 & 167.76 & 170.04 & 168 & 168 & 167.84 & 168 & 168.96 & 171 \tabularnewline
0.93 & 171.87 & 174.22 & 174 & 174 & 172.08 & 171 & 174.78 & 174 \tabularnewline
0.94 & 174.82 & 175.76 & 175 & 175 & 174.88 & 175 & 175.24 & 176 \tabularnewline
0.95 & 176.7 & 178.3 & 178 & 178 & 176.8 & 176 & 178.7 & 178 \tabularnewline
0.96 & 178.88 & 179.84 & 179 & 179 & 178.92 & 179 & 179.16 & 180 \tabularnewline
0.97 & 181.64 & 189.7 & 184 & 184 & 181.76 & 180 & 193.3 & 184 \tabularnewline
0.98 & 198.1 & 207.28 & 199 & 199 & 198.4 & 199 & 199.72 & 208 \tabularnewline
0.99 & 208 & 213.98 & 208 & 208 & 208 & 208 & 215.02 & 208 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157632&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]0[/C][C]0[/C][C]0[/C][C]0[/C][C]3.64[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]0.02[/C][C]7.12[/C][C]7.16[/C][C]9[/C][C]9[/C][C]9.16[/C][C]7[/C][C]8.84[/C][C]7[/C][/ROW]
[ROW][C]0.03[/C][C]11.36[/C][C]11.48[/C][C]13[/C][C]13[/C][C]17.48[/C][C]13[/C][C]10.52[/C][C]13[/C][/ROW]
[ROW][C]0.04[/C][C]21.12[/C][C]21.16[/C][C]22[/C][C]22[/C][C]22.4[/C][C]21[/C][C]21.84[/C][C]21[/C][/ROW]
[ROW][C]0.05[/C][C]25.25[/C][C]25.5[/C][C]27[/C][C]27[/C][C]28.8[/C][C]27[/C][C]23.5[/C][C]27[/C][/ROW]
[ROW][C]0.06[/C][C]31.08[/C][C]31.44[/C][C]36[/C][C]36[/C][C]36.6[/C][C]30[/C][C]34.56[/C][C]30[/C][/ROW]
[ROW][C]0.07[/C][C]39.55[/C][C]39.9[/C][C]41[/C][C]41[/C][C]43.56[/C][C]41[/C][C]37.1[/C][C]41[/C][/ROW]
[ROW][C]0.08[/C][C]45[/C][C]45[/C][C]45[/C][C]45[/C][C]45.16[/C][C]45[/C][C]45[/C][C]45[/C][/ROW]
[ROW][C]0.09[/C][C]45.77[/C][C]45.86[/C][C]46[/C][C]46[/C][C]54.84[/C][C]46[/C][C]45.14[/C][C]46[/C][/ROW]
[ROW][C]0.1[/C][C]59.6[/C][C]59.8[/C][C]61[/C][C]61[/C][C]61.4[/C][C]59[/C][C]60.2[/C][C]59[/C][/ROW]
[ROW][C]0.11[/C][C]62.66[/C][C]62.88[/C][C]63[/C][C]63[/C][C]63.72[/C][C]63[/C][C]61.12[/C][C]63[/C][/ROW]
[ROW][C]0.12[/C][C]64[/C][C]64[/C][C]64[/C][C]64[/C][C]64.48[/C][C]64[/C][C]64[/C][C]64[/C][/ROW]
[ROW][C]0.13[/C][C]65.78[/C][C]66.02[/C][C]66[/C][C]66[/C][C]66.76[/C][C]66[/C][C]66.98[/C][C]66[/C][/ROW]
[ROW][C]0.14[/C][C]69.52[/C][C]70.36[/C][C]73[/C][C]73[/C][C]73.84[/C][C]67[/C][C]69.64[/C][C]73[/C][/ROW]
[ROW][C]0.15[/C][C]75.85[/C][C]76.1[/C][C]76[/C][C]76[/C][C]76.8[/C][C]76[/C][C]76.9[/C][C]76[/C][/ROW]
[ROW][C]0.16[/C][C]77[/C][C]77[/C][C]77[/C][C]77[/C][C]77.32[/C][C]77[/C][C]77[/C][C]77[/C][/ROW]
[ROW][C]0.17[/C][C]78.04[/C][C]78.72[/C][C]82[/C][C]82[/C][C]81.36[/C][C]78[/C][C]81.28[/C][C]78[/C][/ROW]
[ROW][C]0.18[/C][C]82.54[/C][C]82.72[/C][C]83[/C][C]83[/C][C]83.36[/C][C]83[/C][C]82.28[/C][C]83[/C][/ROW]
[ROW][C]0.19[/C][C]84[/C][C]84[/C][C]84[/C][C]84[/C][C]84[/C][C]84[/C][C]84[/C][C]84[/C][/ROW]
[ROW][C]0.2[/C][C]84.6[/C][C]84.8[/C][C]85[/C][C]85[/C][C]85[/C][C]85[/C][C]84.2[/C][C]85[/C][/ROW]
[ROW][C]0.21[/C][C]85.13[/C][C]85.34[/C][C]86[/C][C]86[/C][C]85.92[/C][C]85[/C][C]85.66[/C][C]85[/C][/ROW]
[ROW][C]0.22[/C][C]86.66[/C][C]86.88[/C][C]87[/C][C]87[/C][C]87.44[/C][C]87[/C][C]86.12[/C][C]87[/C][/ROW]
[ROW][C]0.23[/C][C]88[/C][C]88[/C][C]88[/C][C]88[/C][C]88[/C][C]88[/C][C]88[/C][C]88[/C][/ROW]
[ROW][C]0.24[/C][C]88.72[/C][C]88.96[/C][C]89[/C][C]89[/C][C]89[/C][C]89[/C][C]88.04[/C][C]89[/C][/ROW]
[ROW][C]0.25[/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]0.26[/C][C]89[/C][C]89.04[/C][C]89[/C][C]89[/C][C]89.52[/C][C]89[/C][C]89.96[/C][C]89[/C][/ROW]
[ROW][C]0.27[/C][C]90[/C][C]90[/C][C]90[/C][C]90[/C][C]90.08[/C][C]90[/C][C]90[/C][C]90[/C][/ROW]
[ROW][C]0.28[/C][C]91.68[/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]0.29[/C][C]92.74[/C][C]93.32[/C][C]94[/C][C]94[/C][C]94[/C][C]92[/C][C]92.68[/C][C]94[/C][/ROW]
[ROW][C]0.3[/C][C]94[/C][C]95[/C][C]94[/C][C]94[/C][C]97[/C][C]94[/C][C]98[/C][C]94[/C][/ROW]
[ROW][C]0.31[/C][C]99[/C][C]99[/C][C]99[/C][C]99[/C][C]99.12[/C][C]99[/C][C]99[/C][C]99[/C][/ROW]
[ROW][C]0.32[/C][C]99.96[/C][C]100.56[/C][C]100[/C][C]100[/C][C]101.28[/C][C]100[/C][C]101.44[/C][C]100[/C][/ROW]
[ROW][C]0.33[/C][C]102.49[/C][C]102.82[/C][C]103[/C][C]103[/C][C]103.16[/C][C]102[/C][C]102.18[/C][C]103[/C][/ROW]
[ROW][C]0.34[/C][C]104.04[/C][C]104.72[/C][C]106[/C][C]106[/C][C]105.36[/C][C]104[/C][C]105.28[/C][C]104[/C][/ROW]
[ROW][C]0.35[/C][C]106[/C][C]106[/C][C]106[/C][C]106[/C][C]106[/C][C]106[/C][C]106[/C][C]106[/C][/ROW]
[ROW][C]0.36[/C][C]106.16[/C][C]106.88[/C][C]108[/C][C]108[/C][C]107.44[/C][C]106[/C][C]107.12[/C][C]106[/C][/ROW]
[ROW][C]0.37[/C][C]109.22[/C][C]109.96[/C][C]110[/C][C]110[/C][C]110.48[/C][C]110[/C][C]108.04[/C][C]110[/C][/ROW]
[ROW][C]0.38[/C][C]112.28[/C][C]113.04[/C][C]114[/C][C]114[/C][C]113.52[/C][C]112[/C][C]112.96[/C][C]114[/C][/ROW]
[ROW][C]0.39[/C][C]114.67[/C][C]115[/C][C]115[/C][C]115[/C][C]115[/C][C]115[/C][C]115[/C][C]115[/C][/ROW]
[ROW][C]0.4[/C][C]115[/C][C]115[/C][C]115[/C][C]115[/C][C]115[/C][C]115[/C][C]115[/C][C]115[/C][/ROW]
[ROW][C]0.41[/C][C]115.73[/C][C]116[/C][C]116[/C][C]116[/C][C]116[/C][C]116[/C][C]116[/C][C]116[/C][/ROW]
[ROW][C]0.42[/C][C]116.26[/C][C]116.68[/C][C]117[/C][C]117[/C][C]116.84[/C][C]116[/C][C]116.32[/C][C]117[/C][/ROW]
[ROW][C]0.43[/C][C]117.79[/C][C]118.22[/C][C]118[/C][C]118[/C][C]118.36[/C][C]118[/C][C]118.78[/C][C]118[/C][/ROW]
[ROW][C]0.44[/C][C]119.32[/C][C]119.76[/C][C]120[/C][C]120[/C][C]119.88[/C][C]119[/C][C]119.24[/C][C]120[/C][/ROW]
[ROW][C]0.45[/C][C]120[/C][C]120.6[/C][C]120[/C][C]120[/C][C]120.8[/C][C]120[/C][C]121.4[/C][C]120[/C][/ROW]
[ROW][C]0.46[/C][C]122[/C][C]122[/C][C]122[/C][C]122[/C][C]122[/C][C]122[/C][C]122[/C][C]122[/C][/ROW]
[ROW][C]0.47[/C][C]122[/C][C]122[/C][C]122[/C][C]122[/C][C]122[/C][C]122[/C][C]122[/C][C]122[/C][/ROW]
[ROW][C]0.48[/C][C]122.88[/C][C]123.84[/C][C]124[/C][C]124[/C][C]123.92[/C][C]122[/C][C]122.16[/C][C]124[/C][/ROW]
[ROW][C]0.49[/C][C]124.97[/C][C]125[/C][C]125[/C][C]125[/C][C]125[/C][C]125[/C][C]125[/C][C]125[/C][/ROW]
[ROW][C]0.5[/C][C]125[/C][C]125[/C][C]125[/C][C]125[/C][C]125[/C][C]125[/C][C]125[/C][C]125[/C][/ROW]
[ROW][C]0.51[/C][C]126.03[/C][C]126.54[/C][C]127[/C][C]127[/C][C]126.52[/C][C]126[/C][C]126.46[/C][C]127[/C][/ROW]
[ROW][C]0.52[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][/ROW]
[ROW][C]0.53[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][/ROW]
[ROW][C]0.54[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][/ROW]
[ROW][C]0.55[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][C]127[/C][/ROW]
[ROW][C]0.56[/C][C]127[/C][C]127.24[/C][C]127[/C][C]127[/C][C]127.12[/C][C]127[/C][C]127.76[/C][C]127[/C][/ROW]
[ROW][C]0.57[/C][C]128.42[/C][C]129.56[/C][C]130[/C][C]130[/C][C]129.28[/C][C]128[/C][C]128.44[/C][C]130[/C][/ROW]
[ROW][C]0.58[/C][C]130.74[/C][C]131.32[/C][C]131[/C][C]131[/C][C]131.16[/C][C]131[/C][C]131.68[/C][C]131[/C][/ROW]
[ROW][C]0.59[/C][C]132.27[/C][C]132.86[/C][C]133[/C][C]133[/C][C]132.68[/C][C]132[/C][C]132.14[/C][C]133[/C][/ROW]
[ROW][C]0.6[/C][C]133[/C][C]133[/C][C]133[/C][C]133[/C][C]133[/C][C]133[/C][C]133[/C][C]133[/C][/ROW]
[ROW][C]0.61[/C][C]133.33[/C][C]133.94[/C][C]134[/C][C]134[/C][C]133.72[/C][C]133[/C][C]133.06[/C][C]134[/C][/ROW]
[ROW][C]0.62[/C][C]134.86[/C][C]135[/C][C]135[/C][C]135[/C][C]135[/C][C]135[/C][C]135[/C][C]135[/C][/ROW]
[ROW][C]0.63[/C][C]135[/C][C]135.02[/C][C]135[/C][C]135[/C][C]135[/C][C]135[/C][C]135.98[/C][C]135[/C][/ROW]
[ROW][C]0.64[/C][C]135.92[/C][C]136[/C][C]136[/C][C]136[/C][C]136[/C][C]136[/C][C]136[/C][C]136[/C][/ROW]
[ROW][C]0.65[/C][C]136[/C][C]136.1[/C][C]136[/C][C]136[/C][C]136[/C][C]136[/C][C]136.9[/C][C]136[/C][/ROW]
[ROW][C]0.66[/C][C]136.98[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][/ROW]
[ROW][C]0.67[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][/ROW]
[ROW][C]0.68[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][/ROW]
[ROW][C]0.69[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][C]137[/C][/ROW]
[ROW][C]0.7[/C][C]137.1[/C][C]137.8[/C][C]138[/C][C]138[/C][C]137.4[/C][C]137[/C][C]137.2[/C][C]138[/C][/ROW]
[ROW][C]0.71[/C][C]138.63[/C][C]139[/C][C]139[/C][C]139[/C][C]138.92[/C][C]139[/C][C]139[/C][C]139[/C][/ROW]
[ROW][C]0.72[/C][C]139[/C][C]139[/C][C]139[/C][C]139[/C][C]139[/C][C]139[/C][C]139[/C][C]139[/C][/ROW]
[ROW][C]0.73[/C][C]139[/C][C]139[/C][C]139[/C][C]139[/C][C]139[/C][C]139[/C][C]139[/C][C]139[/C][/ROW]
[ROW][C]0.74[/C][C]139.44[/C][C]140.92[/C][C]141[/C][C]141[/C][C]139.96[/C][C]139[/C][C]139.08[/C][C]141[/C][/ROW]
[ROW][C]0.75[/C][C]141.75[/C][C]142.5[/C][C]142[/C][C]142[/C][C]142[/C][C]142[/C][C]142.5[/C][C]142.5[/C][/ROW]
[ROW][C]0.76[/C][C]143[/C][C]143[/C][C]143[/C][C]143[/C][C]143[/C][C]143[/C][C]143[/C][C]143[/C][/ROW]
[ROW][C]0.77[/C][C]143[/C][C]143.58[/C][C]143[/C][C]143[/C][C]143.04[/C][C]143[/C][C]143.42[/C][C]144[/C][/ROW]
[ROW][C]0.78[/C][C]144[/C][C]144.12[/C][C]144[/C][C]144[/C][C]144[/C][C]144[/C][C]144.88[/C][C]144[/C][/ROW]
[ROW][C]0.79[/C][C]144.87[/C][C]145.66[/C][C]145[/C][C]145[/C][C]145.08[/C][C]145[/C][C]145.34[/C][C]146[/C][/ROW]
[ROW][C]0.8[/C][C]146[/C][C]146.2[/C][C]146[/C][C]146[/C][C]146[/C][C]146[/C][C]146.8[/C][C]146[/C][/ROW]
[ROW][C]0.81[/C][C]146.93[/C][C]147[/C][C]147[/C][C]147[/C][C]147[/C][C]147[/C][C]147[/C][C]147[/C][/ROW]
[ROW][C]0.82[/C][C]147.46[/C][C]148[/C][C]148[/C][C]148[/C][C]147.64[/C][C]147[/C][C]148[/C][C]148[/C][/ROW]
[ROW][C]0.83[/C][C]148[/C][C]148[/C][C]148[/C][C]148[/C][C]148[/C][C]148[/C][C]148[/C][C]148[/C][/ROW]
[ROW][C]0.84[/C][C]148.52[/C][C]149.36[/C][C]149[/C][C]149[/C][C]148.68[/C][C]149[/C][C]149.64[/C][C]149[/C][/ROW]
[ROW][C]0.85[/C][C]150.2[/C][C]153.6[/C][C]154[/C][C]154[/C][C]150.8[/C][C]150[/C][C]150.4[/C][C]154[/C][/ROW]
[ROW][C]0.86[/C][C]155.74[/C][C]157[/C][C]157[/C][C]157[/C][C]156.16[/C][C]157[/C][C]157[/C][C]157[/C][/ROW]
[ROW][C]0.87[/C][C]157.44[/C][C]160.92[/C][C]161[/C][C]161[/C][C]157.96[/C][C]157[/C][C]157.08[/C][C]161[/C][/ROW]
[ROW][C]0.88[/C][C]161.64[/C][C]162.52[/C][C]162[/C][C]162[/C][C]161.76[/C][C]162[/C][C]162.48[/C][C]163[/C][/ROW]
[ROW][C]0.89[/C][C]163[/C][C]163.12[/C][C]163[/C][C]163[/C][C]163[/C][C]163[/C][C]164.88[/C][C]163[/C][/ROW]
[ROW][C]0.9[/C][C]164.4[/C][C]165[/C][C]165[/C][C]165[/C][C]164.6[/C][C]165[/C][C]165[/C][C]165[/C][/ROW]
[ROW][C]0.91[/C][C]165.46[/C][C]167.14[/C][C]167[/C][C]167[/C][C]165.64[/C][C]165[/C][C]167.86[/C][C]167[/C][/ROW]
[ROW][C]0.92[/C][C]167.76[/C][C]170.04[/C][C]168[/C][C]168[/C][C]167.84[/C][C]168[/C][C]168.96[/C][C]171[/C][/ROW]
[ROW][C]0.93[/C][C]171.87[/C][C]174.22[/C][C]174[/C][C]174[/C][C]172.08[/C][C]171[/C][C]174.78[/C][C]174[/C][/ROW]
[ROW][C]0.94[/C][C]174.82[/C][C]175.76[/C][C]175[/C][C]175[/C][C]174.88[/C][C]175[/C][C]175.24[/C][C]176[/C][/ROW]
[ROW][C]0.95[/C][C]176.7[/C][C]178.3[/C][C]178[/C][C]178[/C][C]176.8[/C][C]176[/C][C]178.7[/C][C]178[/C][/ROW]
[ROW][C]0.96[/C][C]178.88[/C][C]179.84[/C][C]179[/C][C]179[/C][C]178.92[/C][C]179[/C][C]179.16[/C][C]180[/C][/ROW]
[ROW][C]0.97[/C][C]181.64[/C][C]189.7[/C][C]184[/C][C]184[/C][C]181.76[/C][C]180[/C][C]193.3[/C][C]184[/C][/ROW]
[ROW][C]0.98[/C][C]198.1[/C][C]207.28[/C][C]199[/C][C]199[/C][C]198.4[/C][C]199[/C][C]199.72[/C][C]208[/C][/ROW]
[ROW][C]0.99[/C][C]208[/C][C]213.98[/C][C]208[/C][C]208[/C][C]208[/C][C]208[/C][C]215.02[/C][C]208[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157632&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157632&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)
0.0100003.64000
0.027.127.16999.1678.847
0.0311.3611.48131317.481310.5213
0.0421.1221.16222222.42121.8421
0.0525.2525.5272728.82723.527
0.0631.0831.44363636.63034.5630
0.0739.5539.9414143.564137.141
0.084545454545.16454545
0.0945.7745.86464654.844645.1446
0.159.659.8616161.45960.259
0.1162.6662.88636363.726361.1263
0.126464646464.48646464
0.1365.7866.02666666.766666.9866
0.1469.5270.36737373.846769.6473
0.1575.8576.1767676.87676.976
0.167777777777.32777777
0.1778.0478.72828281.367881.2878
0.1882.5482.72838383.368382.2883
0.198484848484848484
0.284.684.88585858584.285
0.2185.1385.34868685.928585.6685
0.2286.6686.88878787.448786.1287
0.238888888888888888
0.2488.7288.968989898988.0489
0.258989898989898989
0.268989.04898989.528989.9689
0.279090909090.08909090
0.2891.6892929292929292
0.2992.7493.329494949292.6894
0.39495949497949894
0.319999999999.12999999
0.3299.96100.56100100101.28100101.44100
0.33102.49102.82103103103.16102102.18103
0.34104.04104.72106106105.36104105.28104
0.35106106106106106106106106
0.36106.16106.88108108107.44106107.12106
0.37109.22109.96110110110.48110108.04110
0.38112.28113.04114114113.52112112.96114
0.39114.67115115115115115115115
0.4115115115115115115115115
0.41115.73116116116116116116116
0.42116.26116.68117117116.84116116.32117
0.43117.79118.22118118118.36118118.78118
0.44119.32119.76120120119.88119119.24120
0.45120120.6120120120.8120121.4120
0.46122122122122122122122122
0.47122122122122122122122122
0.48122.88123.84124124123.92122122.16124
0.49124.97125125125125125125125
0.5125125125125125125125125
0.51126.03126.54127127126.52126126.46127
0.52127127127127127127127127
0.53127127127127127127127127
0.54127127127127127127127127
0.55127127127127127127127127
0.56127127.24127127127.12127127.76127
0.57128.42129.56130130129.28128128.44130
0.58130.74131.32131131131.16131131.68131
0.59132.27132.86133133132.68132132.14133
0.6133133133133133133133133
0.61133.33133.94134134133.72133133.06134
0.62134.86135135135135135135135
0.63135135.02135135135135135.98135
0.64135.92136136136136136136136
0.65136136.1136136136136136.9136
0.66136.98137137137137137137137
0.67137137137137137137137137
0.68137137137137137137137137
0.69137137137137137137137137
0.7137.1137.8138138137.4137137.2138
0.71138.63139139139138.92139139139
0.72139139139139139139139139
0.73139139139139139139139139
0.74139.44140.92141141139.96139139.08141
0.75141.75142.5142142142142142.5142.5
0.76143143143143143143143143
0.77143143.58143143143.04143143.42144
0.78144144.12144144144144144.88144
0.79144.87145.66145145145.08145145.34146
0.8146146.2146146146146146.8146
0.81146.93147147147147147147147
0.82147.46148148148147.64147148148
0.83148148148148148148148148
0.84148.52149.36149149148.68149149.64149
0.85150.2153.6154154150.8150150.4154
0.86155.74157157157156.16157157157
0.87157.44160.92161161157.96157157.08161
0.88161.64162.52162162161.76162162.48163
0.89163163.12163163163163164.88163
0.9164.4165165165164.6165165165
0.91165.46167.14167167165.64165167.86167
0.92167.76170.04168168167.84168168.96171
0.93171.87174.22174174172.08171174.78174
0.94174.82175.76175175174.88175175.24176
0.95176.7178.3178178176.8176178.7178
0.96178.88179.84179179178.92179179.16180
0.97181.64189.7184184181.76180193.3184
0.98198.1207.28199199198.4199199.72208
0.99208213.98208208208208215.02208



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')