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 - \(\frac{c^{'} - k^{'} - (max - min)}{2}\) =