Final answer:
The box-and-whisker plot represents a data set by dividing it into quartiles and displaying the minimum, maximum, median, and outliers. The given box-and-whisker plot can be matched with the data set: 15.5, 17, 20, 23, 26, 29, 31.
Step-by-step explanation:
The box-and-whisker plot represents the data by dividing it into quartiles and displaying the minimum, maximum, median, and outliers. To determine which data set matches the given box-and-whisker plot, we need to identify the quartiles and values that represent the minimum and maximum. In the given box-and-whisker plot, the minimum is 15.5, the maximum is 31, the median is 23, and the lower quartile is around 17. Based on this information, the data set that matches the box-and-whisker plot is: 15.5, 17, 20, 23, 26, 29, 31.