Question

The size of land holdings of 380 families in a village is given below. Find the median size of land holdings.

Size of Land Holdings (in acres)	Less than 100	100 – 200	200 – 300	300 – 400	400 and above
Number of families	40	89	148	64	39

Answer 1

Size of Land Holdings Class Interval	No. of Families (f)	Cumulative Frequency (CF)
0 – 100	40	40
100 – 200	89	129
200 – 300	148	277
300 – 400	64	341
400 – 500	39	380
Total

So, the Median class = Size of item = 190^th item

190^th item lies in the 129^th cumulative frequency and the corresponding class interval is 200 – 300.

Median size of land holdings = 241.22 acres