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)

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