over the summer, aiden had a part - time job at the library. he recorded how many hours he worked each week…

Explanation:

Step1: Arrange data in ascending order

4, 4, 6, 6, 9, 11, 13, 14, 14, 14, 18, 20

Step2: Find the minimum value

The minimum value is 4.

Step3: Find the first - quartile ($Q_1$)

There are 12 data points. The position of $Q_1$ is $\frac{12 + 1}{4}=3.25$. So, $Q_1=\frac{6 + 6}{2}=6$.

Step4: Find the median ($Q_2$)

The position of the median is $\frac{12}{2}=6$ and $\frac{12}{2}+1 = 7$. So, $Q_2=\frac{11+13}{2}=12$.

Step5: Find the third - quartile ($Q_3$)

The position of $Q_3$ is $3\times\frac{12 + 1}{4}=9.75$. So, $Q_3=\frac{14+14}{2}=14$.

Step6: Find the maximum value

The maximum value is 20.

The box - plot should have a minimum value of 4, $Q_1 = 6$, median = 12, $Q_3=14$ and maximum value of 20. By comparing with the given box - plots, we can determine the correct one.

Answer:

(You need to compare the calculated values of minimum, $Q_1$, median, $Q_3$ and maximum with the box - plots in the image to select the correct box - plot. Since the box - plots are not labeled with identifiers here, I can't directly give the specific box - plot as the answer. But the correct box - plot will have a left - most whisker at 4, the left side of the box at 6, the line inside the box at 12, the right side of the box at 14 and the right - most whisker at 20.)