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Questions  

If a variable takes discrete values x+4,x72,x52 x3,x2,x+12,x12,x+5,(x>0) then the median is

a
x−54
b
x−12
c
x−2
d
x+54

detailed solution

Correct option is A

Arranging the given values in ascending order of magnitude, we getx−72,x−3,x−52,x−2,x−12,x+12,x+4,x+5There are 8 observations in this series∴ Median= AM of 4th and 5th observation⇒ Median = AM of (x - 2) and (x -1/2)⇒  Median =x−2+x−122=x−54

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The median of the distribution is


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