Comparing and Contrasting Data Distributions

ID: tidud-joduf
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Created by Illustrative MathematicsIllustrative Mathematics, CC BY 4.0
Subject: Algebra, Algebra 2
Grade: 8-9
Standards: HSS-ID.A.2HSS-ID.A.1
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8 questions

Comparing and Contrasting Data Distributions

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Math Talk: Mean

Evaluate the mean of each data set mentally.

1) 27, 30, 33

2) 61, 71, 81, 91, 101

3) 0, 100, 100, 100, 100

4) 0, 5, 6, 7, 12

Visual Variability and Statistics

Each box plot summarizes the number of miles driven each day for 30 days in each month. The box plots represent, in order, the months of August, September, October, November, and December.

A template for answering this question. Ask your instructor for an alternative.

5) The five box plots have the same median. Explain why the median is more appropriate for describing the center of the data set than the mean for these distributions.

6) List the box plots in order of least variability to greatest variability.

The five dot plots have the same mean.

A template for answering this question. Ask your instructor for an alternative.

7) Explain why the mean is more appropriate for describing the center of the data set than the median.

8) List the dot plots in order of least variability to greatest variability.