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Question
The following frequency distribution table shows the number of mango trees in a grove and their yield of mangoes, and also the cumulative frequencies. Find the median of the data.
| Class (No. of mangoes) |
Frequency (No. of trees) |
Cumulative frequency (less than) |
| 50-100 | 33 | 33 |
| 100-150 | 30 | 63 |
| 150-200 | 90 | 153 |
| 200-250 | 80 | 233 |
| 250-300 | 17 | 250 |
Solution
Σfi = N = 250 ∴ `N/2` = 125 ∴ f = 90
Also, c. f. = 63 and h = 50 and L = 150
Median `= L +[( N/2-C.F.)/f]` × h
`= 150 + [(125-63)/90]` × 50
= 150 + 34.4 = 184.4
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