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 $4$ $13$ $8$ $14$ $9$ $16$ $17$ $9$ $8$ $2$

Updated On: Mar 28, 2026

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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

=

-

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).

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