5.3.4Journal:Describing DistributionsJournal
Algebra I Sem 2
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Points Possible:20
Name:Ashley Garcia
Date:8/10/2019
Scenario: Relay Track Teams
Instructions:
● View the video found on page 1 of this journal activity.
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● Using the information provided in the video, answer the questions below.
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● 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.
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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
Red
Reason
They have the lowest minimum time.
Blue
They have the most consistent times.
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Yellow
They’re distribution has the highest median time.
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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
Red
No
Because they had one of the longest
amount of times for one of their team
members. One of their team members took
4 seconds to get to the other player which
is more than the other teams
Yes
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Yellow
Reason
Because it only took one second for each
team player to get to the other as well as
they had the least amount of time.
Blue
Yes
They did have the highest median time
because they took the longest.
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Analyzing the Data
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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
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Maximum
Red
41
43
47
48
49
Yellow
45
46
47
48
49
Blue
46
47
48
50
53
4. Look at the box plots and decide whether each team's distribution is symmetric or skewed.
Circle your answers. (1 point)
Negatively skewed
Symmetric
Positively skewed
Yellow
Negatively skewed
Symmetric
Positively skewed
Blue
Negatively skewed
Symmetric
Positively skewed
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Red
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.
Red
Yellow
Blue
Race
1
Race
2
Race
3
Race
4
Race
5
Race
6
Race
7
Race
8
Race
9
47.5
42
48.5
44.5
47
41
48
43
49
47.5
45.5
48.5
46.5
47
45
48
46
49
48.1
46.8
52
47.9
48
46
50
47
53
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5. Use the race times to calculate the mean time for each team. Show your work. (3 points: 1
point for each team)
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Red
47.5+42+48.5+44.5+47+41+48+43+49=45.61
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Yellow
47.5+45.5+48.5+46.5+47+45+48+46+49=47
Blue
48.1+46.8+52+47.9+48+46+50+47+53=48.76
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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)
Red,Yellow,Blue
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7. How do the three teams rank based on median times? Explain your ranking. (1 point)
Because with the median we knew what time was the fastest and what time was the slowest.
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8. What statistic should you use if you wish to compare the spreads? Explain your reasoning. (1
point)
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Using the median because it made rethink who I thought was the fastest.
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)
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Yellow: 2seconds
Blue: 3 seconds
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10. What do the interquartile ranges (IQRs) tell you about how the teams race? Explain your
thinking. (1 points)
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How long it took to get the stick to the other players.
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: I think the red team will win because they have the lowest median and it took the lowest
time to get the stick to the other players.
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Yellow: At first I thought the yellow team would win because it only took them 1 second to get
the stick to each player but they still had a higher median then the red team.
Blue: The blue team is not going to win because it took them the longest to get the stick to the
other players as well as they had the highest median.
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