Question

The median of the variables $x-\frac{7}{2},x-3,x-\frac{5}{2},x-2,-\frac{1}{2}x+\frac{1}{2},x+4,x+5$ is

• A. $x-3$
• B. $x-2$
• C. $x+\frac{5}{4}$
• D. $x-\frac{5}{4}$

Answer 1

Answer: (D)

$x-\frac{5}{4}$

Arrange values in ascending order of magnitude.

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

$\therefore$ Median $=\frac{1}{2}\{(x-2)+(x-\frac{1}{2})\}=x-\frac{5}{4}$