Compare the modal ages of two groups of students appearing for an entrance test:

To find: The mode of both age groups.

Formula Used:

l = lower limit of modal class

f = frequency of the modal class

f₁ = frequency of class preceding the modal class

f₂ = frequency of class following the modal class

Explanation:

For Group A:

Here, the maximum frequency is 78, the corresponding class interval 18 -20 is modal class

l=18, h=2, f=78, f₁=50, f₂ =46

=18 + 0.93

=18.93 years

For Group B:

Here, the maximum frequency is 89, the corresponding class interval 18 -20 is modal class

l=18, h=2, f=89, f₁=54, f₂ =40

=18 + 0.83

=18.33

Hence, the modal age of group A is higher than that of group B.