Question

The mean of $x_1,x_2$...$x_{50}$ is M, if every $x_i,=1,2$...50 is replaced by $x_i/50$ then the mean is

• A. M
• B. $M+\frac{1}{50}$
• C. $\frac{50}{M}$
• D. $\frac{M}{50}$

Answer 1

The correct option is D $\frac{M}{50}$

Given mean $\frac{x_1+x_2+x_3...........x_{50}}{50}=M$

So mean =$\frac{\frac{x_1}{50}+\frac{x_2}{50}+...........\frac{x_{50}}{50}}{50}$

=$\frac{x_1+x_2+......x_{50}}{50\times 50}=\frac{M}{50}$