Algebra 1 | Unit 1 | Lesson 13: More Standard Deviation | Practice Problems

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?

• Driver A

• Driver B

• Driver C

Which driver’s race times were the most variable?

• Driver A

• Driver B

• Driver C

Which driver do you predict will win the next drag race? Support your prediction using the mean and standard deviation.

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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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Select all the statements that are true about standard deviation.

• It is a measure of center.

• It is a measure of variability.

• It is the same as the MAD.

• It is calculated using the mean.

• It is calculated using the median.

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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What is the standard deviation?

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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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Which box plot has the largest interquartile range?

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What is the five-number summary for 1, 3, 3, 3, 4, 8, 9, 10, 10, 17?

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