Illustrative Math - Algebra 1 - Unit 1- Lesson 12

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, 7What is the mean?

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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, 7What is the standard deviation?

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Here is a data set:1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7What happens to the mean and standard deviation of the data set when the 7 is changed to a 70?

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Here is a data set:1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 701, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 70For 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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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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Select all the distribution shapes for which the mean and median must be about the same.

• bell-shaped
• bimodal
• skewed
• symmetric
• uniform

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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, 14Find the mean.

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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, 14Find the median.

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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, 14Eliminate the greatest value, 42, from the data set. Explain how the measures of center change.

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