Lesson plan

Compare distributions by using data sets and summary statistics

teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
teaches Common Core State Standards CCSS.Math.Content.HSS-ID.A.2 http://corestandards.org/Math/Content/HSS/ID/A/2

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Big Ideas: When comparing distributions, one must compare their shapes, centers, and spreads, and unusual features. When comparing aspects of distributions, one should use comparative language such as “larger, smaller, more than, less than”. This lesson builds on students’ previous work in early high school statistics with analysis of distributions based on shape, center, and spread. The task will ask students to find summary statistics for two data sets and sketch a rough plot. Then, using their sketches and summary statistics, write a paragraph comparing the characteristics of the two distributions. Vocabulary: Univariate Quantitative Mean Median Interquartile Range Standard Deviation Approximately Symmetric Skewed Uniform Modality Special Materials: 1 page of butcher paper on which to write comparative words/phrases (optional)