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

Answer 1

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