Question

The mean of $200$ numbers is $12$. If each number is multiplied by $5$, what will be the new mean?

• A. 36
• B. 48
• C. 52
• D. 64

Answer 1

Answer: (B)

48

Mean property: The mean of n observations $x_1,x_2,...,x_n$ is x. If each observation is multiplied by a non-zero number $p$, the mean of the new observations is $P\overline{X}$.
Here $p=4$, $\overline{X}=12$
So, New mean $=4\times 12=48$