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 โ 200 |
200 โ 300 |
300 โ 400 |
400 and above |
Number of families |
40 |
89 |
148 |
64 |
39 |
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 = 190th item
190th item lies in the 129th cumulative frequency and the corresponding class interval is 200 – 300.
Median size of land holdings = 241.22 acres