Q. 104.7( 3 Votes )

Answer :

**To find:** The mode of both age groups.

**Formula Used:**

l = lower limit of modal class

f = frequency of the modal class

f_{1} = frequency of class preceding the modal class

f_{2} = 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, f_{1}=50, f_{2} =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, f_{1}=54, f_{2} =40

=18 + 0.83

=18.33

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

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