Scenario: Relay Track Teams
Instructions:
View the video found on page 1 of this journal acti...
Mathematics, 08.04.2021 08:10 khalilh1206
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:
Answers: 3
Mathematics, 21.06.2019 16:20
Aclass consists of 55% boys and 45% girls. it is observed that 25% of the class are boys and scored an a on the test, and 35% of the class are girls and scored an a on the test. if a student is chosen at random and is found to be a girl, the probability that the student scored an ais
Answers: 2
Mathematics, 21.06.2019 21:00
What is the unit rate of, 75% high fiber chimp food to 25% high protein chimp food.
Answers: 1
Mathematics, 21.06.2019 21:30
Ihave a triangle with a 60 degree angle. lets use d for that angle. what are the values of e and f if d is 60 degrees? and what do you notice about the values of e and f?
Answers: 2
Mathematics, 18.09.2020 04:01
Mathematics, 18.09.2020 05:01
History, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Health, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
English, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01
Mathematics, 18.09.2020 05:01