CBSE 2024 · Region 5 · Set 1 · Q38

Activities like running or cycling reduce stress and the risk of mental disorders like depression. Running helps build endurance. Children develop stronger bones and muscles and are less prone to gain weight. The physical education teacher of a school has decided to conduct an inter school running tournament in his school premises. The time taken by a group of students to run $\displaystyle 100$ m , was noted as follows :

Time (in seconds)	$\displaystyle 0$-$\displaystyle 20$	$\displaystyle 20$-$\displaystyle 40$	$\displaystyle 40$-$\displaystyle 60$	$\displaystyle 60$-$\displaystyle 80$	$\displaystyle 80$-$\displaystyle 100$
Number of students	$\displaystyle 8$	$\displaystyle 10$	$\displaystyle 13$	$\displaystyle 6$	$\displaystyle 3$

Based on the above, answer the following questions :

(i)

What is the median class of the above given data ?

(ii)

(a)OR(b)

Find the mean time taken by the students to finish the race.

(iii)

How many students took time less than $\displaystyle 60$ seconds?