Q. 103.8( 4 Votes )

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


Answer :

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.


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