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Illustrative Math - Algebra 1 - Unit 1- Lesson 12

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Last updated 2 months ago
12 Questions
1.

The shoe size for all the pairs of shoes in a person's closet are recorded.

7, 7, 7, 7, 7, 7, 7, 7, 7, 7

What is the mean?

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S.ID.2
2.

The shoe size for all the pairs of shoes in a person's closet are recorded.

7, 7, 7, 7, 7, 7, 7, 7, 7, 7

What is the standard deviation?

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S.ID.3
S.ID.2
3.

Here is a data set:

1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7

What happens to the mean and standard deviation of the data set when the 7 is changed to a 70?

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S.ID.3
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4.

Here is a data set:

1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 70

1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 70

For the data set with the value of 70, why would the median be a better choice for the measure of center than the mean?

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S.ID.3
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5.

Which of these best estimates the standard deviation of points in a card game?

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S.ID.3
S.ID.2
6.

The mean of data set A is 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1.

Which data set shows greater variability?

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S.ID.3
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7.

The mean of data set A is 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1.

What differences would you expect to see when comparing the dot plots of the two data sets?

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8.

Select all the distribution shapes for which the mean and median must be about the same.

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9.

What is the IQR?

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10.

The data represent the number of cans collected by different classes for a service project.

12, 14, 22, 14, 18, 23, 42, 13, 9, 19, 22, 14

Find the mean.

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S.ID.3
S.ID.2
11.

The data represent the number of cans collected by different classes for a service project.

12, 14, 22, 14, 18, 23, 42, 13, 9, 19, 22, 14

Find the median.

S.ID.1
S.ID.3
S.ID.2
12.

The data represent the number of cans collected by different classes for a service project.

12, 14, 22, 14, 18, 23, 42, 13, 9, 19, 22, 14

Eliminate the greatest value, 42, from the data set. Explain how the measures of center change.

S.ID.1
S.ID.3
S.ID.2
This lesson is from Illustrative Mathematics. Algebra 1, Unit 1, Lesson 12. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/1/12/index.html ; accessed 26/July/2021.

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