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Question -

An incomplete distribution is given as follows :
 
You are given that the median value is 35 and the sum of all the frequencies is 170. Using the median formula, fill up the missing frequencies.



Answer -

Median = 25 and ∑f= N = 170
Let p1 and p2 be two missing frequencies

∴ 110 + p1 +p2 = 170
⇒ p1+ p2 = 170 – 110 = 60
Here N = 170, N/2 = 170/2 = 85
∴ Median = 35 which lies in the class 30-40
Here l = 30, f= 40, F = 30 + p1 and h = 10
 
20 = 55 – p1
⇒ p1 = 55 – 20 = 35
But p1+ p2 = 60
∴ p2 = 60 -p1 = 60 – 35 = 25
Hence missing frequencies are 35 and 25

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