martina taught an 8 - week dance class. she kept track of how many students came to each class. dance…

martina taught an 8 - week dance class. she kept track of how many students came to each class. dance students 7 12 11 8 10 11 10 8 which box plot represents the data? dance students dance students

martina taught an 8 - week dance class. she kept track of how many students came to each class. dance students 7 12 11 8 10 11 10 8 which box plot represents the data? dance students dance students

Answer

Explanation:

Step1: Arrange data in ascending order

7, 8, 8, 10, 10, 11, 11, 12

Step2: Find the minimum value

The minimum value is 7.

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

The lower half of the data is 7, 8, 8, 10. The median of the lower half ($Q_1$) is $\frac{8 + 8}{2}=8$.

Step4: Find the median ($Q_2$)

The median of 7, 8, 8, 10, 10, 11, 11, 12 is $\frac{10+10}{2} = 10$.

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

The upper half of the data is 10, 11, 11, 12. The median of the upper half ($Q_3$) is $\frac{11 + 11}{2}=11$.

Step6: Find the maximum value

The maximum value is 12.

The box - plot should have the minimum at 7, $Q_1$ at 8, median at 10, $Q_3$ at 11 and maximum at 12.

Answer:

The box - plot with the minimum value at 7, the left - hand side of the box at 8, the line inside the box at 10, the right - hand side of the box at 11 and the maximum value at 12. (Since no specific labels for the two box - plots are given, a description based on the calculated values is provided).