Question

The mean of a set of numbers is $\overline{x}$ If each number is multiplied by $\lambda$ , then the mean of new set is

• A. $\overline{x}$
• B. $\lambda +\overline{x}$
• C. $\lambda \overline{x}$
• D. None of these

Answer 1

The correct option is C $\lambda \overline{x}$

$\overline{x}=\frac{\sum x_i}{n},\sum x_i=n\overline{x}$
$Nowmean=\frac{\sum x_i}{n}=\lambda \frac{\sum x_i}{n}=\lambda \overline{x}$