Question

The frequency distribution of daily income , (in thousand of 80 shops of an area is as follows. Find the absolute and the relative measure of range of daily income from it.

Daily income (thousand ₹)	5 - 9	10 -14	15 - 19	20 - 24	25 - 29	30 - 34
No. of shops	11	20	17	13	12	7

Answer 1

Here, x_H = Upper limit of the last class 30 – 34 = ₹ 34

x_L = Lower limit of the initial class 5-9 = ₹ 5

Absolute measure of range of age:

R = x_H – x_L

= 34 – 5 = ₹ 29 thousand

Relative measure of range of age:

Coefficient of range = \(\frac{x_H−x_L}{x_H+x_L}=\frac{R}{x_H+x_L}\)

= \(\frac{29}{34+5}\)

= \(\frac{29}{39}\)

= 0.74