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# Commuting to Work: Box Plots, Central Tendency, Outliers

### Activity Description

Students will calculate various measures of central tendency using data on the number of people who bike to work in select states. Students will then create a box plot to represent the data set and answer conceptual questions about the impact of the data set’s outlier.

9-12

45 Minutes

### Learning Objectives

• Students will be able to analyze and draw conclusions about the effect of an outlier on the mean, median, and shape of a data distribution.
• Students will be able to assess the accuracy of measures of central tendency and variability in the presence of outliers.
• Students will be able to assess the utility of outliers, specifically that they may illuminate influential factors relevant to the data set that may otherwise not have been evident.
• Students will be able to make precise claims about the data set and nature of outliers.

### Materials Required

• The student version of this activity, 9 pages
• Calculators

### Activity Items

The following item is part of this activity.

• Number of People Who Bike to Work in Select States

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## Teacher Notes

#### Blooms Taxonomy

Analyzing

Students will analyze data by making calculations and comparisons, as well as by distinguishing between facts and inferences.

High School Math

#### Topics

• Box plots
• Central tendency
• 5-number summary
• Outliers

#### Skills Taught

• Analyzing the impact of an outlier on the mean and median
• Calculating a 5-number summary
• Calculating measures of central tendency and variability
• Creating a box plot
Page Last Revised - October 8, 2021