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Given the following distribution table:

What is the sum of lower limits of the median class and the modal class?

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15

25

30

35

answer is C.

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Detailed Solution

It is given the frequency distribution table.
Question Image

We create a cumulative frequency table for the given data.

Class Interval	Frequency(f)	Cumulative frequency
0 - 5	10	10
5 - 10	15	25
15 - 20	12	37
15 - 20	20	57
20 - 25	9	66

From the table, we get

\Rightarrow \frac{N}{2} = \frac{66}{2}

\Rightarrow \frac{N}{2} = 33

Thus

37

is just greater than

33

,
So, the median class is

15 - 20 .

The lower limit of the median class is 15.
We know that,
Modal class = class with maximum frequency.
From the data, we get
Modal class is

15 - 20 .

The lower limit of the modal class is

15

.
The sum of lower limits of median class and modal class =

15 + 15 = 30

Hence, the correct option is 3.

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