martina taught an 8 - week dance class. she kept track of how many students came to each class.\ndance…

Explanation:

Step1: Arrange data in ascending order

$7,8,8,10,10,11,11,12$

Step2: Find the minimum value

The minimum value is $7$.

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

The lower half of the data is $7,8,8,10$. The median of the lower half ($Q_1$) is $\frac{8 + 8}{2}=8$.

Step4: Find the median ($Q_2$)

The median of the whole data set is $\frac{10+10}{2} = 10$.

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

The upper half of the data is $10,11,11,12$. The median of the upper half ($Q_3$) is $\frac{11 + 11}{2}=11$.

Step6: Find the maximum value

The maximum value is $12$.

Step7: Analyze box - plots

The box - plot should have the minimum at $7$, $Q_1$ at $8$, median at $10$, $Q_3$ at $11$ and maximum at $12$. The first box - plot has the correct values for minimum ($7$), $Q_1$ (around $8$), median ($10$), $Q_3$ (around $11$) and maximum ($12$).

Answer:

The first box - plot represents the data.