If a variable taken discrete values α+4,α−72,α−52, α−3,α−2, α+12, α−12, α+5 where (α>0) then the median is

Increasing order α−72,α−3,α−52,α−2,α−12,α+12,α+4,α+5Median = α−2+α−122=α−54

If a variable taken discrete values α+4,α−72,α−52, α−3,α−2, α+12, α−12, α+5 where (α>0) then the median is

Increasing order α−72,α−3,α−52,α−2,α−12,α+12,α+4,α+5Median = α−2+α−122=α−54

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If a variable taken discrete values
$α + 4, α - \frac{7}{2}, α - \frac{5}{2}, α - 3, α - 2, α + \frac{1}{2}, α - \frac{1}{2}, α + 5$
where $(α > 0)$ then the median is

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$α - \frac{5}{4}$

$α - 2$

$α - \frac{1}{2}$

$α + \frac{1}{2}$

answer is A.

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Detailed Solution

Increasing order $α - \frac{7}{2}, α - 3, α - \frac{5}{2}, α - 2, α - \frac{1}{2}, α + \frac{1}{2}, α + 4, α + 5$

Median = $\frac{α - 2 + α - \frac{1}{2}}{2} = α - \frac{5}{4}$

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If a variable taken discrete values α+4,α−72,α−52, α−3,α−2, α+12, α−12, α+5 where (α>0) then the median is

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If a variable taken discrete values
$α + 4, α - \frac{7}{2}, α - \frac{5}{2}, α - 3, α - 2, α + \frac{1}{2}, α - \frac{1}{2}, α + 5$
where $(α > 0)$ then the median is