Question:
The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
Solution:
The given data is shown below.
Here, the maximum frequency is 18 so the modal class is 4000-5000.
Therefore,
$l=4000$
$h=1000$
$f=18$
$f_{1}=4$
$f_{2}=9$
$\therefore$ Mode $=l+\frac{f-f_{1}}{2 f-f_{1}-f_{2}} \times h$
$=4000+\frac{18-4}{2 \times 18-4-9} \times 1000$
$=4000+\frac{14}{23} \times 1000$
$=4000+608.7$
$=4608.7$
Thus, the mode of the data (or runs scored) is 4608.7.