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

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