23. Given that the median sale of shops is Rs. 2,400 find out the missing frequency:-
Sales (Rs.'00s) 0-10 10-20 20-30 30-40 40-50
No. of Shops 5 25 ? 18
7
(B.Com. Andhra) (Ans:25
Answers
Given : median sale of shops is Rs. 2,400
To Find : Missing Frequency
Solution:
Sales (Rs.'00s) No. of Shops Cumulative
0-10 5 5
10-20 25 30
20-30 X 30 + X
30-40 18 48 + X
40-50 7 55 + X
median sale of shops is Rs. 2,400
Hence lies in 20 - 30
24 = 20 + 10 * ( (55 + X)/2 - 30) / X
=> 4X =5 * ( X - 5)
=> 4X = 5X - 25
=> X = 25
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