Question

Find the range and coefficient of range of the following data. $59,46,30,23,27,40,52,35,29$

• A. $36,0.44$
• B. $32,0.44$
• C. $36,0.84$
• D. None of these

Answer 1

The correct option is A $36,0.44$

$\Rightarrow$ The given numbers are $59,46,30,23,27,40,52,35,29$.

$\Rightarrow$ Here, the largest value $=x_m=59$ and the smallest value $=x_0=23$.

$\Rightarrow$ $Range=x_m-x_0$

$=59-23$

$=36$

$\Rightarrow$ $Coefficientofrange=\frac{x_m-x_0}{x_m+x_0}$

$=\frac{59-23}{59+23}$

$=\frac{36}{82}$

$=0.44$