For the following distribution: Marks Number of students Below 10 3 Below 20 12 Below 30 27 Belo w 40 57 Below 50 75 Below 60 80 The modal class is (A)10-20 (B) 20-30 (C) 30-40 (D) 50-60
For the following distribution: Marks Number of students Below 10 3 Below 20 12 Below 30 27 Belo w 40 57 Below 50 75 Below 60 80 The modal class is (A)10-20 (B) 20-30 (C) 30-40 (D) 50-60

(C) 30-40

Clarification:

Marks    Number of students        Cumulative Frequency

 

Underneath 10  3=3        3

 

10-20     (12 – 3) = 9         12

 

20-30     (27 – 12) = 15     27

 

30-40     (57 – 27) = 30     57

 

40-50     (75 – 57) = 18     75

 

50-60     (80 – 75) = 5       80

Here, we see that the most elevated recurrence is 30, which lies in the span 30 – 40.

Henceforth, choice (C) is right