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Illustrative Math - Algebra 1 - Unit 1- Lesson 13

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Select all the statements that are true about standard deviation.

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Which box plot has the largest interquartile range?

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

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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