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.
• B.
• C.
• D. None of these

Answer 1

The correct option is C

$\because$$\overline{x}=\frac{\sum x_i}{n}$.....(i)

Now, if each number is multiplied by $\lambda$-
$mean=\frac{\sum x_i}{n}=\lambda \frac{\sum x_i}{n}=\lambda \overline{x}$ [From (1)]

Hence, option (D) is correct.