Question

Samuel recorded the marks he scorded in $12$ quizzes. The scores obtained are as follows:


What will be his median score?

• A. $72$
• B. $73.08$
• C. $75$
• D. $73.5$

Answer 1

The correct option is D $73.5$

If the set consists of an even number of terms, then the median is obtained by following two steps as:

Step I: Arrange the given set in ascending order.

Step II: Find the average of the middle two terms.

Samuel recorded his scores in $12$ quizzes.

Step I: The ascending order of the given scores is


Step II: The middle two terms are $72$ and $75$ and their average is obtained by dividing their sum by $2$, i.e.,

$\begin{array}{cc}\text{Average}& =\frac{72+75}{2}\\ & =\frac{147}{2}\\ & =73.5\end{array}$

Thus, the median score obtained by Samuel is $73.5$.