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Question

# Marks of students of class VIII-B are distributed in the grouped frequency distribution table given below. Class intervals (Marks) Number of Students 0-30 25 30-40 35 40-60 27 60-100 13 What is the length of the bar in the histogram for the 4th class interval ?

A
13
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B
26
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C
3.25
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D
100
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Solution

## The correct option is C 3.25Class length is varying in given distribution, in such cases, frequency per unit class has to be calculated and histogram has to be constructed with respective heights. For our convenience, the least class length is taken as unit class length. Modified length=Frequency of classLength of that class×Least Class length We are given, Length of 4th Class = 100-60 = 40 Frequency = 13 Least class length = 40-30 = 10 Modified length = 1340×10 = 3.25

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