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Question

The median of the variables x+4,x72,x52,
x3,x2,x+12,x12 and x+5, where x>0, is:


A

x3

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B

x2

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C

x+54

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D

x54

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Solution

The correct option is D

x54


Arrange the given variables in ascending order :
(x72),(x3),(x52),(x2),(x12),(x+12),(x+4),(x+5)
Here, number of observations = 8 [even]
Median=(n2)th observation + (n2+1)th observation2=82th observation + (82+1)th observation2=4th observation + 5th observation2=x2+x122=2x522=x54


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