For the following distribution:

What is the modal class?

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10 - 20

20 - 30

30 - 40

50 - 60

answer is C.

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Detailed Solution

It is given the cumulative frequency table.
Given table,
Question Image

So, we convert it into a frequency distribution table.

Class Interval	$(f_{i})$
0 - 10	3
10 - 20	12-3=9
20 - 30	27-12=15
30 - 40	57-27=30
40 - 50	75-57=18
50 - 60	80-75=5
	$Σ f_{i} = 80$

From the above table, we get that the highest frequency is 30 and the corresponding class is 30-40.
Thus, the modal class for the given distribution is 30-40.
Hence, the correct option is 3.

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