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Statistics: Plots, Shapes of Distributions, Choosing Mean or Median

Common Core Standards
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Statistics Integrated Review: Plots, Shapes of Distributions, and Statistics for Center and Spread

Use common data plots to determine shape of the data distribution, and choose appropriate statistics for center and spread. This product includes a one-page integrated review with a worksheet and answer key aligned with the common core. Students practice identifying the shape of a data distribution using common data plots (dot plot, histogram, and boxplot). Students also review how to choose appropriate statistics for center and spread based on the shape of the distribution and the presence of outliers. The worksheet can be used as an in-class handout or as homework. What makes it an "integrated" review? It integrates multiple statistics concepts at once!

This product includes:

1) Integrated review sheet in PDF
2) Worksheet in PDF

Objectives:

1) Review how to identify the shape of a distribution of a count or measurement variable using common data plots (dot plot, histogram, boxplot).
2) Review how to choose the appropriate statistics for center and spread based on the shape of the distribution and presence of outliers.

Common Core Standards:

HSS.ID.A.1: Represent data with plots on the real number line (dot plots, histograms, box plots).
HSS.ID.A.2: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different datasets.
HSS.ID.A.3: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

The materials in this product have been compressed into a *.zip file. Software to unzip the file is necessary to use these materials. The materials are unzipped into three separate files. Software for reading PDF(*.pdf) is needed to use the files.

The data and plots were simulated and created, respectively, using R Statistical Software, a free open-source software for statistical computing. Please let me know if you are interested in educational products on using R for the Common Core.

Want more complete lessons on these topics? Check these out!:

Statistics: Boxplots from Five-Number Summaries (Min, Q1, Median, Q3, Max)
Statistics: Look at your Data! Histograms (Common Core Aligned Lesson)
Statistics: Look at your Data! Dot Plots (Common Core Aligned Lesson)
Compare Populations: Median and Interquartile Range (Common Core Aligned Lesson)

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Disclaimer:
The National Governors Association Center for Best Practices and Council of Chief State School Officers are the sole owners and developers of the Common Core State Standards. © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

This product is the work of Statistics Education Resources. Claims of alignment with the Common Core State Standards are the personal opinion of Statistics Education Resources and do not necessarily reflect the official views of the National Governors Association Center for Best Practices and Council of Chief State School Officers. No association with or endorsement by the National Governors Association Center for Best Practices and Council of Chief State School Officers is intended or implied.
Total Pages
3 pages
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Teaching Duration
30 minutes
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