Question

Individual members of three teams raced through a maze. Their times are show

Maze Completion Times (In Seconds)
Blue Team
Red Team
Green Team
Suppose that the team whose times have the least variability wins.
Part A
The race organizers make a box plot of times for each team. Use the box plots to compare the variability and spread of the times.
Blue Team H
75 80 65 95 82 77 80 75 82
80 86
83 83 84 78 87 88 87
68 85 90 94 68 75 75 90 75
B
Green Team H +
+
65 70 75 80
90
Maze Completion Times (seconds)
U
X
60
I
Red Team H
100

Answer 1

Part A:

From the box plots, we can see that the Red Team has the least variability and spread of times, followed by the Blue Team and then the Green Team. The Red Team's box is the smallest, indicating that their times are more tightly clustered together.

Part B:

Blue Team:

Q1: 75

Q2: 82

Q3: 87

IQR: 12

Upper fence: Q3 + 1.5IQR = 87 + 1.512 = 105

There are no outliers

Green Team:

Q1: 70

Q2: 75

Q3: 80

IQR: 10

Upper fence: Q3 + 1.5IQR = 80 + 1.510 = 95

There is one outlier at 90

Red Team:

Q1: 80

Q2: 83

Q3: 87

IQR: 7

Upper fence: Q3 + 1.5IQR = 87 + 1.57 = 98.5

There are no outliers

Explanation:

N/A