If a variable takes the discrete values α+4,α−72,α−52,α−3,α−2α+12,α−12,α+5(α>0), then the median is
A
α−54
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B
α−12
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C
α−2
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D
α+54
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Solution
The correct option is Aα−54 Arrange the data in increasing order: α−72,α−3,α−52,α−2,α−12,α+12,α+4,α+5 Median =12[value of 4thnumber+value of 5thnumber ] Median =α−2+α−122=2α−522 Therefore, Median =α−54