Question

The median of $1,2,3,3,x,5,5,7,7,9$ is 4.5. Find the value of x.

• A. 3
• B. 4
• C. 7
• D. 5

Answer 1

The correct option is B 4

The number of terms in the given series is 10, which is even.
Therefore, the median will be the average of the $5^{th}$ and $6^{th}$ terms, which are $x$ and 5, respectively.
$\Rightarrow \frac{x+5}{2}=4.5$
$\Rightarrow x+5=9$
$\Rightarrow x=9-5$
$\Rightarrow x=4$