identifying a data set with an outlier\nwhich box plot represents data that contains an outlier?

Explanation:

Step1: Recall outlier rule in box - plot

In a box - plot, an outlier is a data point that is more than 1.5 times the inter - quartile range (IQR) away from either the first quartile ($Q_1$) or the third quartile ($Q_3$). Visually, outliers are represented as individual points outside the whiskers of the box - plot.

Step2: Examine each box - plot

For the first box - plot, all points are within the whiskers. For the second box - plot, all points are within the whiskers. For the third box - plot, there is a point to the left of the left - hand whisker, which indicates an outlier. For the fourth box - plot, all points are within the whiskers.

Answer:

The third box - plot.