Question:
Find the value of p for the following distribution whose mean is 16.6.
Solution:
It is given that,
Mean = 16.6
$\Rightarrow \frac{\sum \mathrm{fx}}{\mathrm{N}}=16.6$
$\Rightarrow \frac{24 \mathrm{p}+1228}{100}=16.6$
⇒ 24p + 1228 = 1660
⇒ 24p = 1660 − 1228
⇒ 24p = 432
⇒ p = 432/24 = 18
⇒ p = 18
∴ p = 18.