Question

The table below shows the number of hours some college athletes in two states spend on indoor sports each week:

State A 7 9 5 4 25 21 6 6 8
State B 14 12 10 13 15 14 11 15 16


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

Arrange the data set in ascending order:
State A: 4, 5, 6, 6, 7, 8, 9, 21, 25
State B: 10, 11, 12, 13, 14, 14, 15, 15, 16

5 number summary:
State A State B
minimum 4 10
Q1 5.5 11.5
median 7 14
Q3 15 15
maximum 25 16
IQR 9.5 3.5

The box plot are not symmetric. The distance of the median from each Q1 and Q3 should be equal for the box plot to be symmetric.