Question

The mean of n observation $x_1,x_2,\cdots x_{n}is\overline{x}$. If each observation is divided by P, then the new mean would be

• A. $\overline{x}-nP$
• B. $\overline{x}+nP$
• C. $\overline{x}+\frac{n}{P}$
• D. $\frac{\overline{x}}{P}$

Answer 1

The correct option is D $\frac{\overline{x}}{P}$

Given $\frac{x_1+x_2+x_3+...........+x_n}{n}=\overline{x}$

$\therefore \frac{\frac{x_1}{P}+\frac{x_2}{P}+\frac{x_3}{P}+..........+\frac{x_n}{P}}{n}=\frac{1}{P}\frac{x_1+x_2+x_3+...........+x_n}{n}=\frac{\overline{x}}{P}$