Question

emma is on the school golf team. her scores from 15 practice rounds are shown: 93, 95, 102, 107, 107, 108, 111, 113, 114, 114, 115, 118, 120, 120, 125. based on the data set, complete the boxplot for emmas golf scores.

Explanation:

Step1: Arrange data in ascending order

93, 95, 102, 107, 107, 108, 111, 113, 114, 114, 115, 118, 120, 120, 125

Step2: Find the minimum value

The minimum value is 93.

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

There are $n = 15$ data points. The position of $Q_1$ is $\frac{n + 1}{4}=\frac{15+ 1}{4}=4$. So $Q_1=107$.

Step4: Find the median ($Q_2$)

The position of the median is $\frac{n + 1}{2}=\frac{15 + 1}{2}=8$. So the median $Q_2 = 113$.

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

The position of $Q_3$ is $\frac{3(n + 1)}{4}=\frac{3\times(15 + 1)}{4}=12$. So $Q_3=118$.

Step6: Find the maximum value

The maximum value is 125.

Answer:

The box - plot has a minimum value of 93, $Q_1 = 107$, median ($Q_2$) = 113, $Q_3=118$, and maximum value of 125.