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


Age (in years):



16-18



1-20



20-22



22-24



24-26



Group A:



50



78



46



28



23



Group B:



54



89



40



25



17


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


Mode = l +


= 18 +


=18+


=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


Mode = l +


= 18 +


=18+ =18 + 0.83 =18.33


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


4