alicia records the total number of points scored in two games by 10 players on her basketball team. 28, 13…

Answer:

The first box - plot (with values 4, 7, 11, 15, 28 on the box - plot)

Explanation:

Step1: Arrange data in ascending order

4, 7, 8, 10, 11, 13, 15, 15, 22, 28

Step2: Find the minimum value

The minimum value is 4.

Step3: Find the first quartile ($Q_1$)

The first quartile is the median of the lower half. Lower half: 4, 7, 8, 10, 11. Median of lower half ($Q_1$) = 8.

Step4: Find the median ($Q_2$)

The median of all data: Since there are 10 data points, the median is the average of the 5th and 6th values. $\frac{11 + 13}{2}=12$.

Step5: Find the third quartile ($Q_3$)

The third quartile is the median of the upper half. Upper half: 13, 15, 15, 22, 28. Median of upper half ($Q_3$) = 15.

Step6: Find the maximum value

The maximum value is 28. The box - plot should have the minimum at 4, $Q_1$ at 8, median at 12, $Q_3$ at 15 and maximum at 28. The first box - plot matches these values.