Question

mrs. clark, a gym teacher, recorded the number of laps each student ran around the gym in ten minutes. 5 9 7 8 7 6 8 8 5 8 5 9 10 9 6 9 which box plot represents the data? laps run 0 2 4 6 8 10 laps run 0 2 4 6 8 10

Explanation:

Step1: Arrange data in ascending order

5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10

Step2: Find the minimum value

The minimum value is 5.

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

There are 16 data points. The position of $Q_1$ is $\frac{16 + 1}{4}=4.25$. So, $Q_1=\frac{6 + 6}{2}=6$.

Step4: Find the median ($Q_2$)

The position of the median is $\frac{16}{2}=8$ and $\frac{16}{2}+1 = 9$. So, $Q_2=\frac{8+8}{2}=8$.

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

The position of $Q_3$ is $3\times\frac{16 + 1}{4}=12.75$. So, $Q_3=\frac{9+9}{2}=9$.

Step6: Find the maximum value

The maximum value is 10.

Answer:

The box - plot should have the minimum value at 5, $Q_1$ at 6, the median at 8, $Q_3$ at 9, and the maximum value at 10. Without seeing all the options, you can check which box - plot has these values for the whiskers and the box boundaries.