Question

mean of n observation is x , find the mean if each observation is multiplied by k

Answer 1

Answer:

kx

Given that

$x = \frac{x_1 + x_2 + x_3........ + x_n}{n} \\ \\ when \: each \: observation \: multiplied \: by \: k \\ new \: \: mean \\ \\ x '= \frac{kx_1 + kx_2 + .....kx_n}{n} \\ \\ = k( \frac{x_1 + x_2 + x_3........ + x_n}{n} ) \\ \\ = kx$