to prepare for their science test, ms. browns class played a quiz game on the computer in groups. the…

to prepare for their science test, ms. browns class played a quiz game on the computer in groups. the computer kept track of how many questions each group answered correctly.\ncorrect answers\n18 16 30 23 16 24 21 12 28 20 14\nwhich box plot represents the data?\ncorrect answers\n10 14 18 22 26 30\ncorrect answers\n10 14 18 22 26 30

to prepare for their science test, ms. browns class played a quiz game on the computer in groups. the computer kept track of how many questions each group answered correctly.\ncorrect answers\n18 16 30 23 16 24 21 12 28 20 14\nwhich box plot represents the data?\ncorrect answers\n10 14 18 22 26 30\ncorrect answers\n10 14 18 22 26 30

Answer

Explanation:

Step1: Arrange data in ascending order

12, 14, 16, 16, 18, 20, 21, 23, 24, 28, 30

Step2: Find the minimum value

The minimum value is 12.

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

There are 11 data points. The position of $Q_1$ is $\frac{11 + 1}{4}=3$. So $Q_1 = 16$.

Step4: Find the median ($Q_2$)

The position of the median is $\frac{11+ 1}{2}=6$. So $Q_2=20$.

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

The position of $Q_3$ is $\frac{3(11 + 1)}{4}=9$. So $Q_3=24$.

Step6: Find the maximum value

The maximum value is 30.

The box - plot should have the minimum value at 12, $Q_1$ at 16, median at 20, $Q_3$ at 24 and maximum at 30.

Answer:

The box - plot with the minimum at 12, the left - hand side of the box at 16, the line inside the box at 20, the right - hand side of the box at 24 and the maximum at 30. (Since no specific labels for the two box - plots are given, a description based on the correct quartile and extreme values is provided).