Compare the modal ages of two groups of students appear
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Compare the modal ages of two groups of students appearing for an entrance test:
Age (in years): 16-18 18-20 20-22 22-24 24-26
Group A: 50 78 46 28 23
Group B: 54 89 40 25 17
Please scroll down to see the correct answer and solution guide.
Right Answer is:
SOLUTION
| Age in years | 16-18 | 18-20 | 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, then the corresponding class 18 – 20 is model class
l = 18, h = 20 – 18 = 2, f = 78, f1 = 50, f2 = 46
For group B
Here the maximum frequency is 89, then the corresponding class 18 – 20 is the modal class
l = 18, h = 20 – 18 = 2, f = 89, f1 = 54, f2 = 40
Hence the modal age for the Group A is higher than that for Group B
