Minimum: 4
B
Lower Quartile: 8
C
Maximum: 16
D
Upper Quartile: 16
A box plot is a graphical representation of a data set that shows the minimum, lower quartile, median, upper quartile, and maximum values. The lengths of the boxes represent the interquartile range, which is the range between the lower quartile and upper quartile.
For the given data set, the minimum value is 4, meaning there is at least one data point that is less than or equal to 4. The lower quartile is 8, meaning 25% of the data points are less than or equal to 8. The median is not given, but we know it is between the lower quartile and upper quartile. The upper quartile is 16, meaning 75% of the data points are less than or equal to 16. The maximum value is 16, meaning there is at least one data point that is greater than or equal to 16.
The box plot for this data set would have a vertical line segment at 4 (minimum), a box from 8 to 16 (lower quartile to upper quartile), and another vertical line segment at 16 (maximum).