Question

Find the upper limit of the outlier of the following box and whisker plot.

Answer 1

Consider that the given box and whisker plot lies in the interval,

$20\leq x\leq75$

These end points are referred as the Outliers of the plot.

The interquartile range (IQR) of the given plot is,

$\text{IQR}=65-38=27$

The upper limit of the outlier is given by,

$=Q_3+1.5(IQR)$

Substitute the values and simplify,

$\begin{gathered} \text{ Upper Limit of Outlier}=Q_3+1.5(IQR)\text{ } \\ \text{ Upper Limit of Outlier}=65+1.5(27) \\ \text{ Upper Limit of Outlier}=65+40.5 \\ \text{ Upper Limit of Outlier}=105.5 \end{gathered}$

Therefore, the correct option should be the 2nd option, as it is closest to the answer.