Find the median weight of the students.

NCERT Class 10 Mathematics Chapter 14 Statistics

Page No. 289

Exercise 14.3

Question No. 7

Share

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

The cumulative frequency with their respective class intervals are as follows.

Cumulative frequency just greater than n/2 (i.e. 30/2 = 15) is 19, belonging to class interval 55 – 60.

Median class = 55 – 60

Lower limit (l) of median class = 55

Frequency (f) of median class = 6

Cumulative frequency (cf) of median class = 13

Class size (h) = 5

Median = l + ((n/2 – cf)/f) × h = 55 + ((15 – 13)/6) × 5 = 55 + 10/6 = 55 + 1.67 = 56.67.

Therefore, median weight is 56.67 kg.