to prepare for their science test, ms. browns class played a quiz game on the computer in groups. the…

Explanation:

Step1: Arrange data in ascending order

$12, 14, 16, 16, 18, 20, 21, 23, 24, 28, 30$

Step2: Find the minimum value

The minimum value is $12$.

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

There are $n = 11$ data points. The position of $Q_1$ is $\frac{n + 1}{4}=\frac{11+ 1}{4}=3$. So $Q_1 = 16$.

Step4: Find the median ($Q_2$)

The position of the median is $\frac{n + 1}{2}=\frac{11+1}{2}=6$. So $Q_2=20$.

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

The position of $Q_3$ is $\frac{3(n + 1)}{4}=\frac{3\times(11 + 1)}{4}=9$. So $Q_3=24$.

Step6: Find the maximum value

The maximum value is $30$.

The box - plot should have the left - most whisker at $12$, the left side of the box at $16$, the line inside the box at $20$, the right side of the box at $24$, and the right - most whisker at $30$.

Answer:

The box - plot that has the left - most whisker at $12$, the left side of the box at $16$, the line inside the box at $20$, the right side of the box at $24$, and the right - most whisker at $30$ (without seeing the full options, based on the calculated values this is the correct one). If you provide the full options with clear visual differences, a more definite answer can be given.