Question

The weight(in kg) of $13$ students in a class are $42.5,47.5,48.6,50.5,49,46.2,49.8,45.8,43.2,48,44.7,46.9,42.4$. Find the range and coefficient of range.

Answer 1

Let us arrange the given data in the ascending order.
$42.4,42.5,43.2,44.7,45.8,46.2,46.9,47.5,48,48.6,49,49.8,50.5$
From the given data, the largest value $L=50.5$ and the smallest value $S=42.4$
Range$=L-S$
$=50.5-42.4=8.1$
The coefficient of range$=\frac{L-S}{L+S}=\frac{50.5-42.4}{50.5+42.4}=\frac{8.1}{92.9}$
$=0.087$