1 Ex-1: Frequency Distribution
Steps in construction of frequency distribution:
- Determine the number of classes
- Determine the class width
- Set up the individual class limits
- Tally the items into the classes
- Count the number of items in each class
Table below shows the data related to the grain yield in (g /plot) of a sorghum variety from experimental plots of equal area from a continuous frequency distribution. Prepare a frequency distribution and cumulative frequency distribution
| 194 | 129 | 166 | 164 | 154 | 139 | 128 | 120 | 80 | 168 |
| 150 | 186 | 156 | 179 | 153 | 157 | 155 | 115 | 676 | 171 |
| 118 | 143 | 191 | 148 | 152 | 187 | 129 | 119 | 139 | 177 |
| 191 | 214 | 167 | 165 | 186 | 111 | 155 | 164 | 125 | 99 |
| 86 | 170 | 111 | 169 | 141 | 164 | 89 | 180 | 225 | 139 |
| 127 | 136 | 144 | 165 | 154 | 74 | 156 | 142 | 162 | 160 |
| 171 | 134 | 177 | 178 | 168 | 165 | 188 | 131 | 154 | 107 |
| 189 | 156 | 176 | 150 | 142 | 144 | 153 | 190 | 183 | 180 |
| 161 | 170 | 195 | 136 | 91 | 187 | 152 | 145 | 98 | 166 |
SOLUTION:
Number of Classes, k =1 + 3.322 log10N =
Class width, C = | max - min|/ k =
Lower limit as L = min - \(\frac{c^{'} - k^{'} - (max - min)}{2}\) =