Question

In a class test, 50 students obtained marks as follows-

Marks obtained	0-20	20-40	40-60	60-80	80-100
No. of students	4	6	25	10	5

Find the modal class and the median class.

Answer 1

$Marksobtained$	$No.ofstudents$ $\left(f\right)$	$Cumulativefrequency$
$0-20$	$4$	$4$
$20-40$	$6$	$10$
$40-60$	$25$	$35$
$60-80$	$10$	$45$
$80-100$	$5$	$50$

$\Rightarrow$ Here, $N=50$, then $\frac{N}{2}=\frac{50}{2}=25$

We can see, $25$ is nearest to cumulative frequency $35$ which has class interval $40-60$

$\therefore$ Median class $=40-60$.

$\Rightarrow$ In frequency table we can see class $40-60$ has highest frequency $25$.

$\therefore$ Modal class $=40-60$