Question

The given ordered stem-and-leaf plot shows the number of votes received by $12$ students running for the post of student body president.
$\begin{array}{cc}\text{Stem}& \text{Leaf}\\ \begin{array}{c}2\end{array}|& 0,2,2,8\\ \begin{array}{c}3\end{array}|& 2\\ \begin{array}{c}4\end{array}|& 2,3,4,5\\ \begin{array}{c}5\end{array}|& 1,4\\ \begin{array}{c}9\end{array}|& 8\end{array}$
Identify the outlier in the data set.

• A. $22$
• B. $32$
• C. $54$
• D. $98$

Answer 1

The correct option is D $98$

If we look at the last two rows of the stem-and-plot data set, we can observe that the ${11}^{\text{th}}$ student got $54$ votes and the ${12}^{\text{th}}$ student got 98 votes.

$98$ votes is a larger number of votes as compared to $54$ votes and the difference is vast too.
So, $98$ is the outlier.