Question

The following table shows the number of hours some high school students in two states spend surfing the Internet each week:

State A
35
36
35
34
35
38
36
36
38

State B
24
22
20
50
25
24
65
25
26


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)

Answer 1

1st data set:

Minimum: 34
1st quartile: 35
Median: 36
3rd quartile: 37
Maximum: 38

Second data set:
Minimum: 20
1st quartile: 23
Median: 25
3rd quartile: 38
Maximum: 65

Graph it based on the values of the 1st and 3rd quartile. If they are both the same number away from the mean then they are symmetrical. Otherwise they are not. In this case, the first one is similar and the second one is not.

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