Question

Calculate range and coefficient of range from the following data:
4, 7, 8, 46, 53, 77, 8, 1, 5, 13

Answer 1

Given:
Highest value (H) = 77
Lowest value (L) = 1
Range = Highest value − Lowest value
i.e. R = H − L
Substituting the given values in the formula.
R = 77 − 1 = 76
$\mathrm{Coefficient}\mathrm{of}\mathrm{Range}=\frac{H-L}{H+L}=\frac{77-1}{77+1}=\frac{76}{78}=0.97$
Thus, range is 76 and coefficient of range is 0.97