Question

Jessica enrolled in a course that promised to increase her reading speed. To help judge the effectiveness of the course, Jessica measured the number of words per minute she could read prior to enrolling in the course. She obtained the following five-number summary: 110, 140, 157, 173, 205. Use the information to draw a box plot of the reading speed. (Please do not erase upper and lower fences)

Answer 1

To draw a box plot of Jessica's reading speed, use the five-number summary and plot the quartiles, fences, whiskers, and outliers.

Step-by-step explanation:

To draw a box plot of Jessica's reading speed, we will use the five-number summary: 110, 140, 157, 173, 205.

Step 1: Draw a number line and label it with the minimum value (110) and the maximum value (205).

Step 2: Plot a vertical line through the number line at the first quartile (Q1 = 140), the median (Q2 = 157), and the third quartile (Q3 = 173).

Step 3: From Q1 to the minimum value (110), draw a horizontal line to represent the lower fence, and from Q3 to the maximum value (205), draw a horizontal line to represent the upper fence.

Step 4: Connect the lower fence with Q1 and the upper fence with Q3 using vertical lines called whiskers.

Step 5: Finally, plot any outliers beyond the fences as individual points or asterisks.

Answer 2

In a box plot, the ends of the box are upper and lower quartiles, so the box spans the interquartile range. The median is marked by a vertical line inside the box. In this case, this would be the box plot for the information given: