the data set represents the total number of people who bought bananas each hour at a grocery store…

Explanation:

Step1: Arrange data in order

The data set is already in ascending - order: 1, 1, 5, 5, 7, 8, 8, 10, 12.

Step2: Find the minimum and maximum

The minimum value is 1 and the maximum value is 12.

Step3: Calculate the median (Q2)

There are n = 9 data points. The median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{9+1}{2}=5$ - th value. So, Q2 = 7.

Step4: Calculate the lower - quartile (Q1)

The lower half of the data is 1, 1, 5, 5. There are n = 4 data points. The median of the lower half is $\frac{1 + 5}{2}=3$. So, Q1 = 3.

Step5: Calculate the upper - quartile (Q3)

The upper half of the data is 8, 8, 10, 12. There are n = 4 data points. The median of the upper half is $\frac{8 + 10}{2}=9$. So, Q3 = 9.

In a box - plot, the left - end of the whisker is the minimum (1), the right - end of the whisker is the maximum (12), the left - end of the box is Q1 (3), the line inside the box is Q2 (7), and the right - end of the box is Q3 (9).

Answer:

The box - plot with the left - end of the whisker at 1, the left - end of the box at 3, the line inside the box at 7, the right - end of the box at 9, and the right - end of the whisker at 12. (Since no specific option identifiers are given, a description of the correct box - plot is provided).