Three drivers competed in the same fifteen drag races. The mean and standard deviation for the race times of each of the drivers are given.
Driver A had a mean race time of 4.01 seconds and a standard deviation of 0.05 seconds.
Driver B had a mean race time of 3.96 seconds and a standard deviation of 0.12 seconds.
Driver C had a mean race time of 3.99 seconds and a standard deviation of 0.19 seconds.
Which driver had the fastest typical race time?
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S.ID.3
S.ID.2
1
2.
Three drivers competed in the same fifteen drag races. The mean and standard deviation for the race times of each of the drivers are given.
Driver A had a mean race time of 4.01 seconds and a standard deviation of 0.05 seconds.
Driver B had a mean race time of 3.96 seconds and a standard deviation of 0.12 seconds.
Driver C had a mean race time of 3.99 seconds and a standard deviation of 0.19 seconds.
Which driver’s race times were the most variable?
S.ID.1
S.ID.3
S.ID.2
1
3.
Three drivers competed in the same fifteen drag races. The mean and standard deviation for the race times of each of the drivers are given.
Driver A had a mean race time of 4.01 seconds and a standard deviation of 0.05 seconds.
Driver B had a mean race time of 3.96 seconds and a standard deviation of 0.12 seconds.
Driver C had a mean race time of 3.99 seconds and a standard deviation of 0.19 seconds.
Which driver do you predict will win the next drag race? Support your prediction using the mean and standard deviation.
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S.ID.3
S.ID.2
1
4.
The widths, in millimeters, of fabric produced at a ribbon factory are collected. The mean is approximately 23 millimeters and the standard deviation is approximately 0.06 millimeters.
Interpret the mean and standard deviation in the context of the problem.
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S.ID.3
S.ID.2
1
5.
Select all the statements that are true about standard deviation.
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S.ID.3
S.ID.2
1
6.
The number of different species of plants in some gardens is recorded.
1, 2, 3, 4, 4, 5, 5, 6, 7, 8
What is the mean?
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S.ID.3
S.ID.2
1
7.
The number of different species of plants in some gardens is recorded.
1, 2, 3, 4, 4, 5, 5, 6, 7, 8
What is the standard deviation?
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S.ID.3
S.ID.2
1
8.
A set of data has ten numbers. The mean of the data is 12 and the standard deviation is 0.
What values could make up a data set with these statistics?
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S.ID.3
S.ID.2
1
9.
Which box plot has the largest interquartile range?
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S.ID.3
S.ID.2
1
10.
What is the five-number summary for 1, 3, 3, 3, 4, 8, 9, 10, 10, 17?
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S.ID.3
S.ID.2
1
11.
For 1, 3, 3, 3, 4, 8, 9, 10, 10, 17.
When the maximum, 17, is removed from the data set, what is the five-number summary?
S.ID.1
S.ID.3
S.ID.2
This lesson is from Illustrative Mathematics. Algebra 1, Unit 1, Lesson 13. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/1/13/index.html ; accessed 26/July/2021.
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