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$

• (A) $0.387$
• (B) $0.385$
• (C) $0.384$
• (D) $0.380$

Answer 1

The Correct Option is C

Explanation:
Given,Upper limit of the Highest Class Interval (H) = $90$Lower limit of the Lowest Class Interval (L) = $40$Range $=$ Highest Value $-$ Lowest Valuei.e., R $=$ H $-$ LSubstituting the given values in the formula.R $=90-40=50$Coefficeint of Range $=\frac{H-L}{H+L}$$=\frac{90-40}{90+40}$$=\frac{50}{130}$$=0.384$So, range of the above series is $50$ kg and coefficient of range is $0.384$Hence, the correct option is (C).