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 ______.

Options

• 310

• 315

• 320

• 330

Answer 1

The sum of the lower limit of the modal class and the upper limit of the median class is 315.

Explanation:

The class having maximum frequency is the modal class.

So, the modal class is 150 – 155. Its lower limit is 150.

Also, N = 60 ⇒ `N/2 = 30` and the cumulative frequency just more than 30 is 37. Its class is 160 – 165, whose upper limit is 165.

Required sum = (150 + 165) = 315.