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
Answers
18.93 is Modal of Group A & 18.83 is Modal of Group B
Step-by-step explanation:
GROUP A GROUP B
Class f f
16 - 18 50 54
18 - 20 78 89
20 - 22 46 40
22 - 24 28 25
24 - 26 23 17
Modal of group A = 18 + 2 * ( 78 - 50) /(78 - 50 + 78 - 46)
= 18 + 2 * 28/(60)
= 18 + 0.93
= 18.93
Modal of group B = 18 + 2 * ( 89 - 54) /(89 - 54 + 89 - 40)
= 18 + 2 * 35/(84)
= 18 + 0.83
= 18.83
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