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Answer :

We have been given the arithmetic mean of the data, that is, 15.

⇒ Mean = 15


To find the value of p, we need to simply find mean using direct method.


So, let’s make a table showing frequencies and fixi.



So, we get


∑fixi = 445 + 10p


∑fi = 27 + p


Using direct method, we have the formula of arithmetic mean as follows:



[ Mean = 15, ∑fixi = 445 + 10p & ∑fi = 27 + p]


15 (27 + p) = 445 + 10p


405 + 15p = 445 + 10p


15p – 10p = 445 – 405


5p = 40



p = 8


Thus, p = 8.

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