Before the school track meet, Emek and Luna had to recommend either Team A or Team B for the final relay. A graph showed each team's times from five recent races. Team A recorded 61, 57, 59, 63, and 55 seconds, giving a mean of 59 seconds and a range of 8 seconds. Team B recorded 60, 59, 61, 60, and 60 seconds, giving a mean of 60 seconds and a range of only 2 seconds. Emek noticed that Team A was faster on average, but its times varied much more. Luna pointed out that every Team B result was close to 60 seconds, making its performance easier to predict. Because the final required a dependable time to qualify for the next round, they recommended Team B. Their choice was based not only on typical performance but also on how consistently each team had raced.

Challenges

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Challenge 1 of 5

Challenges

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Challenge 1 of 4
Hint
For race times, a lower mean indicates faster typical performance, while a smaller range indicates greater consistency.
Which statement best compares the relay teams using both their mean times and their ranges?
Team A has a lower mean time and a smaller range, so it is faster and more consistent.Team B has a lower mean time and a larger range, so it is faster but less consistent.Team A has a lower mean time, but Team B has a smaller range, so Team A is faster on average while Team B is more consistent.The teams have the same typical performance because their mean times differ by only 1 second.
Correct. Team A is faster on average, while Team B has less variation in its times.
Not quite. Compare the teams' mean times for typical performance and their ranges for consistency.
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Hint
Find the total time for the first five races, add 59 seconds, and divide by 6.
Team A's five race times were 61, 57, 59, 63, and 55 seconds. If Team A runs a sixth race in 59 seconds, what is the mean time, in seconds, for all six races?
Correct. The mean of the six race times is 59 seconds.
Check the total of all six race times and then divide that total by 6.
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Hint
Check each team's mean and range against both limits. A team must satisfy both requirements.
Suppose the coach says the team chosen for the final should have a mean time no greater than 60 seconds and a range no greater than 4 seconds. Based on the five races in the story, which conclusion is correct?
Only Team A meets both requirements.Only Team B meets both requirements.Both teams meet both requirements.Neither team meets both requirements.
Correct. Team B has a mean of 60 seconds and a range of 2 seconds, so it meets both requirements.
Not quite. Test each team's mean and range separately against the two requirements.
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Bayrak Takımını Seçmek
TR
ARC_G08_DP_02_STORY_01
Bayrak Takımını Seçmek
Choosing the Relay Team
EN
ARC_G08_DP_02_STORY_01
Choosing the Relay Team