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The size of land holdings of 380 familie...

The size of land holdings of 380 families in a village is given below . Find the median size of land holdings.
`{:("Size of Land Holidings (in acres)","Less than 100",100-200,200-300,300-400,"400 and above" ),("Number of Families"," "40," " 89," "148," "64," "39):}`

Text Solution

Verified by Experts


M= size of `((N)/(2))` th item
=Size of `((380)/(2))` th item = Size of 190 th item
190 th item lies in the 277 th cumulative frequency and the corresponding class interval is 200-300.
`M=l_(1)+(N/(2)-c.f.)/(f)xxi`
`=200+(380/(2)-129)/(148)xx100`
`=200+(190-129)/(148)xx100`
`=200+(61)/(148)xx100`
`=200+41.22=241.22`
Therefore , Median =241 . 220]
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