Question

What will be the value of mean and standard deviation if each value is increased by $5$?

Answer 1

$\frac{\sum x_1}{x}=70$

$\Rightarrow \sum x_1=70\times 50=3500$

New, $\sum x_1=3500+50\times 5$

$\therefore$ New mean $=\frac{3750}{50}=75$

Variance does not change on adding a constant.

$\therefore$ New standard deviation $=8$

Hence, the answer is $75,8.$