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Which of them is the median class?

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20 - 50

50 - 80

80 - 110

110 - 140

answer is D.

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Detailed Solution

It is given the frequency distribution table.
Question Image

We form a cumulative frequency of the given data:

Class Interval	Frequency(f)	Cumulative frequency
20 - 50	4	4
50 - 80	8	12
80 - 110	12	24
110 - 140	16	40
140 - 170	20	60
	N = 60

From the data, we get that the sum of the frequencies of the observation is 60.
The middle observation will be:
n

= \frac{(Total number of frequency)}{2}

\Rightarrow

= (60) / 2

\Rightarrow

= 30

Therefore, the value 30 lies in the class interval 110-140 from the cumulative frequency table.
Thus, the median class is 110-140.
Hence, the correct option is 4.

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