Question

PLEASE HELP ME WITH I AM GIVING 40 POINTS:

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

Town A 16 25 42 38 17 32 42 10 17
Town B 8 0 0 17 30 8 21 9 19

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. (4 points)

(10 points)

Answer 1

Explanation:

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

The box plot for two towns is shown in the diagram below.

Town A box plot is not symmetrical, it's tailing on the left

Town B box plot is not symmetrical, it's tailing on the right