3. create a box and whisker plot using the following data. use the horizontal line as your number line.\n|…

Explanation:

Step1: Organize data

First, list the average - hours - of - sleep data: 8, 7, 9, 9, 6, 10.

Step2: Sort data

Sort the data in ascending order: 6, 7, 8, 9, 9, 10.

Step3: Find median

Since there are 6 data points, the median is the average of the 3rd and 4th values. Median $=\frac{8 + 9}{2}=8.5$.

Step4: Find lower quartile (Q1)

The lower half of the data is 6, 7, 8. The median of this lower half (Q1) is 7.

Step5: Find upper quartile (Q3)

The upper half of the data is 9, 9, 10. The median of this upper half (Q3) is 9.

Step6: Identify minimum and maximum

The minimum value is 6 and the maximum value is 10.

Step7: Draw box - and - whisker plot

On the number line, mark the minimum (6), Q1 (7), median (8.5), Q3 (9), and maximum (10). Draw a box from Q1 to Q3, a vertical line at the median inside the box, and whiskers from the box to the minimum and maximum values.

Answer:

A box - and - whisker plot is drawn with minimum = 6, Q1 = 7, median = 8.5, Q3 = 9, maximum = 10.