Answer :

Given that, mean = 24

We need to find the value of p.


To find p, we need to calculate mean by direct method.


Let us make a table showing frequencies, midpoints and fixi.



We have


∑fixi = 1700 + 35p


∑fi = 80 + p


By direct method, we have the formula of arithmetic mean:




24 × (80 + p) = 1700 + 35p


1920 + 24p = 1700 + 35p


35p – 24p = 1920 – 1700


11p = 220



p = 20


Thus, p = 20.


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