Question
Mathematics Question on Binomial theorem
The following table gives the weights of one hundred persons. Copute the coefficient of dispersion by the method of limits.Class-interval40−4545−5050−5555−6060−6565−7070−7575−8080−8585−90No. of persons41381491617982
A
(A) 0.387
B
(B) 0.385
C
(C) 0.384
D
(D) 0.380
Answer
(C) 0.384
Explanation
Solution
Explanation:
Given,Upper limit of the Highest Class Interval (H) = 90Lower limit of the Lowest Class Interval (L) = 40Range = Highest Value − Lowest Valuei.e., R = H − LSubstituting the given values in the formula.R =90−40=50Coefficeint of Range =H−LH+L=90−4090+40=50130=0.384So, range of the above series is 50 kg and coefficient of range is 0.384Hence, the correct option is (C).