Question

If $\sum f_i=11,\sum f_i{x}_i=2p+52$ and the mean is 6, find the value of p.

Answer 1

As we know that mean of the data is given as-

$\overline{x}=\frac{\sum f_i{x}_i}{\sum f_i}$

Given that:-

$\overline{x}=6$

$\sum f_i{x}_i=2p+52$

$\sum f_i=11$

Therefore,

$\frac{2p+52}{11}=6$

$\Rightarrow 2p+52=66$

$\Rightarrow 2p=66-52$

$\Rightarrow p=\frac{14}{2}=7$

Hence the value of $p$ is $7$.

Hence the correct answer is $7$.