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Question

Consider the frequency distribution of the heights of 60 students of a class
Height (in cm) No. of Students Cumulative Frequency
150-155 16 16
155-160 12 28
160-165 9 37
165-170 7 44
170-175 10 54
175-180 6 60

The sum of the lower limit of the modal class and the upper limit of the median class is
(a) 310
(b) 315
(c) 320
(d) 330

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Solution

(b) 315
The class having the maximum frequency is the modal class.

So, the modal class is 150-155 and its lower limit is 150.Also, N=60N2=30 The cumulative freequency just more than 30 is 37 and its class is 160-165, whose upper limit is 165.Required sum=150+165=315

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