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

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α−54

α−12

α−2

α+54

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detailed solution

Correct option is A

Arrange the data as follows:α−72,α−3,α−52,α−2,α−12,α+12,α+4,α+5 Median =12 [value of 4 th item + value of 5 th item] ∴ Median =α−2+α−122=2α−522=α−54

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

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Ready to Test Your Skills?

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