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100 surnames were randomly picked up fro...

100 surnames were randomly picked up from a local telephone directory and frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

(i) Draw a histogram to depict the given information.
(ii) Write the class interval in which the maximum number of surnames lie.

Text Solution

Verified by Experts

The class sizes fo the given frequency distribution are `(4-1)=3,(6-4)=2(8-6)=2,(12-8)=4 and (20-12)=8`
Minimum class size=2
Adjusted frequencies of the given class intervals are
`((2)/(3)xx6)=4,((2)/(2)xx30)=30((2)/(2)xx44)=44,((2)/(4)xx16)=8,((2)/(8)xx4)=1`
(ii)Maximum surnames lie in the intervals 6-8.
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