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Question

The median of the variables x+4,x72,x52,x3,x2,x+12x12,x+5(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
x+4,x72,x52,x3,x2,x+12x12,x+5 (x>0)
This can be written as
x+4,x3.5,x2.5,x3,x2,x+0.5x0.5,x+5 (x>0)
we can arrange it in ascending order as
x3.5,x3,x2.5,x2,x0.5,x+0.5,x+4,x+5
As there are 8 observation
so, Median= (82)th+(82+1)th2=x2+x122=x54

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