Question

The median of $\frac{x}{5},x,\frac{x}{4},\frac{x}{2},\frac{x}{3}$ is $8$ then the value of $x$ is

• A. 24
• B. 18
• C. 27
• D. 51

Answer 1

The correct option is A 24

Number of terms, n=5.

Given median = 8

$\Rightarrow (\frac{n+1}{2}{)}^{x}term=8$

$\Rightarrow (\frac{5+1}{2}{)}^{x}term=8$

$\Rightarrow 3^x$ term =8

$\Rightarrow \frac{x}{4}=8$

$\Rightarrow x=32$