Question

The maximum bowling speed $\left(km/hr\right)$ of $33$ players at a cricket coaching centre is given below:

Bowling Speed $\left(km/hr\right)$	$85-100$	$100-115$	$115-130$	$130-145$
Number of players	$9$	$11$	$8$	$5$

Find the modal bowling speed (in $km/hr$) of players.

Answer 1

Here, maximum frequency is $11$
The corresponding class namely $100-115$ is modal class.
We know that
Mode $=L+\left[\frac{f_m-f_1}{2f_m-f_1{-f}_2}\right]h$
Here $L=100,f_m=11,f_1=9,f_2=8,h=15$
Mode $=100+\left[\frac{11-9}{2\times 11-9-8}\right]\times 15$
$=100+\left[\frac{2}{22-17}\right]\times 15$
$=100+\frac{2}{5}\times 15$
$=100+6=106$
$\therefore$ The modal bowling speed of player is $106km/hr$.