Question

The mean of $x_1,x_2,...x_{50}$ is M. If every $x_i$, i = 1, 2 ... 50 is replaced by $\frac{x_i}{50}$ then the mean is

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

Answer 1

Answer: (D)

$\frac{M}{50}$

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

$\frac{\sum \frac{x_i}{50}}{50}=\frac{M}{50}$