Question

The formula for the coefficient of range is $\frac{\text{Range}}{a+b}$. Here, $a$ and $b$ denote:

• A. the mean and median of the data set
• B. the maximum and the minimum value of the data set
• C. the mean and mode value of the data set
• D. the minimum and mean value of the data set

Answer 1

Answer: (B)

the maximum and the minimum value of the data set

Range is the difference between the maximum value and the minimum value of the data set.

Let $a$ be the maximum value of the data set and

$b$ be the minimum value of the data set

Therefore, $range=a-b$

Coefficient of range is the relative measure of the dispersion.

It is given by $\text{coefficient of range}=\frac{a-b}{a+b}=\frac{range}{a+b}$