Assertion: Median of the given data 34, 31, 42, 43, 46, 25, 39, 45, 32 is $39$ .
Reason: When the number of observations $(n)$ is even, the median is the mean of the ${(\frac{n}{2})}^{t h}$ and ${(\frac{n}{2} + 1)}^{t h}$ observations.
Which of the following is correct?

Both Assertion and Reason are correct and Reason is the correct explanation of Assertion

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Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is B Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
There are 9 observations and the ordered data is 25, 31, 32, 34, 39, 42, 43, 45, 46. By applying the formula for median when the number of values is odd, the median is at the 5th position which is 39. The reason is not the correct explanation of Assertion as the number of observations (n) is odd is not discussed.

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Assertion: Median of the given data 34, 31, 42, 43, 46, 25, 39, 45, 32 is 39. Reason: When the number of observations (n) is even, the median is the mean of the (n2)th and (n2+1)th observations. Which of the following is correct?

Assertion: Median of the given data 34, 31, 42, 43, 46, 25, 39, 45, 32 is $39$ .
Reason: When the number of observations $(n)$ is even, the median is the mean of the ${(\frac{n}{2})}^{t h}$ and ${(\frac{n}{2} + 1)}^{t h}$ observations.
Which of the following is correct?