The mean of the following frequency

Given that the mean value of the following distribution is 50.

We have to find the value of p.

To find the value of p, we have following procedure

Thus, we have

$\sum f_{i}=96+p$

$\sum f_{i} x_{i}=4320+70 p$

We know that the formula of mean is given by

mean $=\frac{\sum f_{i} x_{i}}{\sum f_{i}}$

$\Rightarrow \quad 50=\frac{4320+70 p}{96+p}$

$\Rightarrow 4800+50 p=4320+70 p$

$\Rightarrow \quad 20 p=480$

$\Rightarrow \quad p=24$

Hence $p=24$