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The median of the following data is :

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answer is A.

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Detailed Solution

Given data is,
Question Image

Number of

x

values is

2 + 3 + 2 + 3 + 1 = 11

(odd number).
Since, the total values are odd.
There the median occurs at,

\frac{n + 1}{2} = {(\frac{11 + 1}{2})}^{th}

\Rightarrow \frac{n + 1}{2} = 6^{th}

position.
The position is calculated by adding the frequencies.
Cumulative frequency is as follows,

x	10	20	30	40	50
f	2	3	2	3	1
c.f	2	5	7	10	11

6^{th}

position is after

5^{th}

position and before

7^{th}

.
Therefore the median is

30

.
Hence, the correct option is 1.

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