Illustrative Math - Algebra 1 - Unit 1- Lesson 15

Twenty students participated in a psychology experiment which measured their heart rates in two different situations. What are the appropriate measures of center and variability to use with the data?

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The data set and some summary statistics are listed.11.5, 12.3, 13.5, 15.6, 16.7, 17.2, 18.4, 19, 19.5, 21.5mean: 16.52median: 16.95standard deviation: 3.11IQR: 5.5How does adding 5 to each of the values in the data set impact the shape of the distribution?

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The data set and some summary statistics are listed.11.5, 12.3, 13.5, 15.6, 16.7, 17.2, 18.4, 19, 19.5, 21.5mean: 16.52median: 16.95standard deviation: 3.11IQR: 5.5How does adding 5 to each of the values in the data set impact the measures of center?

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The data set and some summary statistics are listed.11.5, 12.3, 13.5, 15.6, 16.7, 17.2, 18.4, 19, 19.5, 21.5mean: 16.52median: 16.95standard deviation: 3.11IQR: 5.5How does adding 5 to each of the values in the data set impact the measures of variability?

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Here are two box plots: Which box plot has a greater median?

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The dot plots display the height, rounded to the nearest foot, of maple trees from two different tree farms. Compare the mean and standard deviation of the two data sets.

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The dot plots display the height, rounded to the nearest foot, of maple trees from two different tree farms. What does the standard deviation tell you about the trees at these farms?

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What effect does eliminating the lowest value, -6, from the data set have on the mean and median?-6, 3, 3, 3, 3, 5, 6, 6, 8, 10

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