Question

The following table shows the number of hours some high school students in two towns spend riding the bus each week:

Town A 5 3 9 4 20 9 5 7 6
Town B 8 8 3 5 5 6 3 9 9


Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points)

Part B: Are the box plots symmetric? Justify your answer.

Answer 1

Hey there again,

The first step is to put the data in order, as shown in the diagram below

Five summaries of Town A

Lowest Value = 10

Lower Quartile, = 16.5 (The value falls between 16 and 17)

Median, = 25

Upper Quartile, = 40 (The middle value between 38 and 42)

Highest value = 42

Five summaries of Town B

Lowest value = 0

Lower Quartile, = 4 (The middle value between 0 and 8)

Median, = 9

Upper Quartile, = 20 (The middle value between 19 and 21)

Highest Value = 30

Hoped I Helped