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Lesson Plan 5: Central Tendency and Box-and-whiskers Review

Central Tendency and Box-and-whiskers Review
In order to better compare sets of data, it is often necessary to analyze the data using a variety of statistical tools.

In this activity your students will construct a box-and-whiskers graph with several sets (boxes) displayed, and they will also use values of central tendency to allow a more complete analysis of the data.

Standards
Grades 6-8, Data Analysis and Probability

Select and use appropriate statistical methods to analyze data:

  • Find, use, and interpret measures of center and spread, including mean and interquartile range.

  • Discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatterplots.

Data
The following data are basketball scores for three players in the last 10 home games.
Dave Adam Laura
22 15 19
19 18 20
15 15 7
18 12 16
9 11 12
5 13 20
10 12 17
8 11 14
14 14 11
20 13 9

Procedure:

  1. Construct a box-and-whiskers plot for each player and his or her scores.

  2. Identify the mean, median, and mode for each of the four sets of data.

  3. Answer the analysis questions that follow.

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