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 get

$x - \frac{7}{2}, x - 3, x - \frac{5}{2}, x - 2, x - \frac{1}{2}, x + \frac{1}{2}, x + 4, x + 5$

There are 8 observations in this series

$∴$ Median= AM of 4th and 5th observation

$\Rightarrow$ Median = AM of (x - 2) and (x -1/2)

$\Rightarrow Median = \frac{x - 2 + x - \frac{1}{2}}{2} = x - \frac{5}{4}$

If a variable takes discrete values $x + 4, x - \frac{7}{2}, x - \frac{5}{2}$ $x - 3, x - 2, x + \frac{1}{2}, x - \frac{1}{2}, x + 5, (x > 0)$ then the median is