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If alpha variable takes the discrete val...

If `alpha` variable takes the discrete values `alpha + 4, alpha - 7/2, alpha - 5/2 , alpha - 3, alpha - 2, alpha + 1/2 , alpha - 1/2, alpha + 5, (alpha > 0)` then the median is

A

`alpha - 5/4`

B

`alpha - 1/2`

C

`alpha - 2`

D

`alpha + 5/4`

Text Solution

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The correct Answer is:
A
`alpha - 7/2, alpha - 3, alpha - 5/2 , alpha - 2, alpha - 1/2 , alpha + 1/2, alpha + 4, alpha + 5`
Median = `(alpha - 2 + alpha - 1/2)/2 = alpha - 5/4`.
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