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Question

Assertion : If the median of the given data 26, 29, 42, 53, x, x + 2, 70, 75, 82, 93, is 65 then the value of x is 64.
Reason : When the number of observations(n) is odd the median is the value of the (n+12)th observation.
Which of the following is correct.

A
If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
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B
If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
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C
If Assertion is correct but Reason is incorrect.
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D
If Assertion is incorrect but Reason is correct.
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Solution

The correct option is B If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
Assertion : Given no. observation is 10 (even)
Median =x+(x+2)2=2x+22=x+1
65=x+1x=64
Reason is also true. But Reason is not correct explanation of Assertion.


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