In the following data, the median class and modal class are:

Class Interval
Frequency
100-200
11
200-300
12
300-400
10
400-500
13
500-600
20
600-700
14

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Median class=500-600, Modal class=500-600

Median class=400-500, Modal class=400-500

Median class=400-500, Modal class=500-600

Median class=500-600, Modal class=400-500

answer is A.

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Detailed Solution

Given: The frequency distribution table:

Class Interval	Frequency
100-200	11
200-300	12
300-400	10
400-500	13
500-600	20
600-700	14

We will first form the frequency distribution table with cumulative frequency.

Class Interval	Frequency	Cumulative frequency
100-200	11	11
200-300	12	11+12=23
300-400	10	23+10=33
400-500	13	33+13=46
500-600	20	46+20=66
600-700	14	66+14=80=N

We know that modal class is one that has the highest frequency in a given data set.
The modal class: The maximum class frequency is 20 and the corresponding class is 500-600, which is the modal class.
The median class:

N = 802 = 40

We can see that 46 is the cumulative frequency which is just above 40 and this corresponds to the class 400-500, which is the median class.
Thus, the modal is 500-600 and the median class is 400-500.
So, the correct answer is option 3.

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