Numbers 5, 15, 20, x, 28, 30, 35 are in ascending order and have median = 23; then the value of x is :

1. 24

2. 29

3. 17.5

4. 23

Given, numbers :

5, 15, 20, x, 28, 30, 35

The number of terms (n) are 7, which is odd.

∴ Median = $\dfrac{n + 1}{2}$ th term

Substituting value we get :

$\Rightarrow 23 = \dfrac{7 + 1}{2} \text{ th term} \\[1em] \Rightarrow 23 = \dfrac{8}{2} \text{ th term} \\[1em] \Rightarrow \text{4 th term} = 23 \\[1em] \Rightarrow x = 23.$

Hence, Option 4 is the correct option.