If a variable takes discrete values x+4,x−72,x−52 x−3,x−2,x+12,x−12,x+5,(x>0) then the median is

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