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.