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

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 ($Q_1$)

Since $n = 10$, the position of $Q_1$ is $\frac{n + 1}{4}=2.75$. So $Q_1=8$.

Step4: Find the median ($Q_2$)

The position of the median is $\frac{n+1}{2}=5.5$. So $Q_2=\frac{11 + 13}{2}=12$.

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

The position of $Q_3$ is $\frac{3(n + 1)}{4}=8.25$. So $Q_3 = 15$.

Step6: Find the maximum value

The maximum value is $28$.

Answer:

The box - plot with minimum value $4$, $Q_1 = 8$, median $12$, $Q_3=15$ and maximum value $28$ (the first box - plot in the top - left corner).