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Question

If a variable takes the discrete values α+4,α72,α52,α3,α2α+12,α12,α+5(α>0),
then the median is

A
α54
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B
α12
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C
α2
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D
α+54
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Solution

The correct option is A α54
Arrange the data in increasing order:
α72, α3, α52, α2, α12, α+12, α+4, α+5
Median =12[value of 4th number+value of 5th number ]
Median =α2+α122 =2α522
Therefore, Median =α54

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