Find the value of p, if the mean of the following distribution is 7.5. x: 3 5 7 9 11 13 f: 6 8 15 p 8 4

Explanation

We know,
Mean of a frequency
Distribution is calculated by:
x`=sum(f_ix_i)/(sum(f_i))`
Given mean `x =7.5`.
=>`7.5=(303+9p)/(41+p)`
=>`7.5(41+p)=303+9p`
=>`307.5−303=9p−7.5p`
=>`4.5=1.5p`
=>`p=3`
Hence, the answer is `3`