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Question

The following is the distribution of the size of certain farms from a taluka (tehasil). Find median size of farms.
Size of Farms(in acres)
Number of Farms
515
7
1525
12
2535
17
3545
25
4555
31
5565
5
6575
3

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Solution

Size of Farms(in acres)
Number of Farms
Cumulative Frequency
515
7
7
1525
12
19
2535
17
36
3545
25
61
4555
31
92
5565
5
97
6575
3
100

n=f=100
n2=1002=50
Therefore, median class =3545, h=10
Frequency preceding to the median class cf=36
Frequency of the median class f=25

Median =L+hf(n2cf)

=35+1025(5036)

=35+5.6

=40.6

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