Question

Find the mode of

Class	$0-5$	$5-10$	$10-15$	$15-20$	$20-25$
Frequency	$2$	$3$	$10$	$1$	$4$

Answer 1

Here, we can see class $10-15$ has maximum number of frequency.

$\therefore$ Modal class $=10-15$

Then we have,

$l=10,f_0=3,f_1=10,f_2=1$ and $h=5$

Since,

$Mode=l+\frac{f_1-f_0}{2f_1-f_0-f_2}\times h$

$=10+\frac{10-3}{2\times 10-3-1}\times 5$

$=10+2.18$

$=12.18$

$\therefore$ $Mode=12.18$

Hence, this is the answer.