Question

The following data shows the runs scored by different batsmen. Find the modal number of runs scored by the batsmen.
Runs ScoredNumber of batsmen3000−400044000−5000185000−600096000−700077000−800068000−900039000−10000110000−110001

• A. 4300
• B. 4000
• C. 4608.69
• D. 5000

Answer 1

The correct option is C 4608.69
Modal calss is the class with the highest frequency. So, the modal class for the given data is 4000-5000.
∵Mode =l+(f1−f02f1−f0−f2)×h
where f1 represents the frequency of the modal class.
Also,
l=lower boundary of the modal class
h= size of the modal class interval
f0= frequency of the class preceding the modal class
f2= frequency of the class succeeding the modal class
∴Mode =4000+[(18−42(18)−4−9)]×1000
=4000+[(18−436−4−9)]×1000=4000+[(1423)]×1000=4608.69