Question 2 Consider the following frequency distribution of the heights of 60 students of a class The upper limit of the median class in the given data is a) 165 b) 155 c) 160 d) 170
To find median class,
lets calculate cumulative frequency
Height Number of Cumulative frequency
(in cm) students
150 – 155 15 15
155 – 160 13 15 + 13 = 28
160 – 165 10 28 + 10 = 38
165 – 170 8 38 + 8 = 46
170 – 175 9 46 + 9 = 55
175 – 180 5 55 + 5 = 60
Since total frequency is 60
𝑁/2 = 30
And cumulative frequency greater than or equal to 30 lies in class 160-165
So, Median class is 160-165
∴ Upper limit of the median class is 165
So, (a) is the correct answer

CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.