Question

The following table gives the weights of one hundred persons. Copute the coefficient of dispersion by the method of limits.

Class-interval	40−45	45−50	50−55	55−60	60−65	65−70	70−75	75−80	80−85	85−90
No. of persons	4	13	8	14	9	16	17	9	8	2

Answer 1

Given:

Upper limit of the Highest Class Interval (H) = 90
Lower limit of the Lowest Class Interval (L) = 40

Range = Highest Value − Lowest Value

i.e R= H− L

Substituting the given values in the formula.

R= 90 − 40= 50

$\mathrm{Coefficeint}\mathrm{of}\mathrm{Range}=\frac{H-L}{H+L}=\frac{90-40}{90+40}=\frac{50}{130}=0.384$

Hence, range of the above series is 50 kg and coefficient of range is 0.384