Scenario: Relay Track Teams
Instructions:
View the video found on page 1 of this journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
Three teams are racing in the district meet. Below are the box plots representing the race times for each team. Analyze the data and decide who you think will win.

The Racers' Conjectures
1. Complete the table below to describe why each team member thinks his team will win the district meet. (1 point)
Team
Reason
Red





Yellow





Blue






2. Looking at the box plots, do you agree or disagree with each team's conjecture? Explain your reasoning. (3 points: 1 point for each row of the chart)
Team
Yes or no
Reason
Red










Yellow










Blue











Analyzing the Data
3. Use the box plots to complete the five-number summary chart. (3 points: 1 point for each row of the chart)


Minimum
Lower quartile
Median
Upper quartile
Maximum
Red










Yellow










Blue











4. Look at the box plots and decide whether each team's distribution is symmetric or skewed. Circle your answers. (1 point)
Red
Negatively skewed
Symmetric
Positively skewed
Yellow
Negatively skewed
Symmetric
Positively skewed
Blue
Negatively skewed
Symmetric
Positively skewed

Below are the actual race times, in seconds, for each team. They are listed in numerical order, not in the chronological order of actual races.


Race 1
Race 2
Race 3
Race 4
Race 5
Race 6
Race 7
Race 8
Race 9
Red
47.5
42
48.5
44.5
47
41
48
43
49
Yellow
47.5
45.5
48.5
46.5
47
45
48
46
49
Blue
48.1
46.8
52
47.9
48
46
50
47
53

5. Use the race times to calculate the mean time for each team. Show your work. (3 points: 1 point for each team)
Red




Yellow




Blue





6. How do the three teams rank based on mean times? List them in order from fastest to slowest, and explain your ranking. (1 point)






7. How do the three teams rank based on median times? Explain your ranking. (1 point)








8. What statistic should you use if you wish to compare the spreads? Explain your reasoning. (1 point)




9. The interquartile range for the red team's race times is 5 seconds. Find the IQR for the yellow and blue teams. (2 point)




10. What do the interquartile ranges (IQRs) tell you about how the teams race? Explain your thinking. (1 points)








Making a Decision
11. Now that you've analyzed the data, it's time to make a decision. Who do you think will win the district meet? Describe how you think each team will do, and explain your reasoning. (3 points)
Red:






Yellow:






Blue: