Question

If the range of n observations $x_1,x_n$ is zero , then the mean of these observations is

• A. 0
• B. 1
• C. 2
• D. $x_1$

Answer 1

The correct option is D

$x_1$

Since range is zero, we have all the observations as equal.$\therefore x_1=x_2=......=x_n$ (n is number of observations)

Mean = $\frac{x_1+x_2+...,+x_n}{n}=\frac{n{x}_i}{m}=x_i(i=1,2,3,....n)$

$\therefore$ $x_1$ is the correct answer.