About This Chapter
Standard: Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. (CCSS.Math.Content.HSS-ID.B.5)
About This Chapter
Students who have mastered this standard are able to perform statistical analyses using categorical data. While completing these analyses, students will employ frequency tables, pie charts and bar graphs.
The lessons in this standard cover the following topics:
- Categorical data used for statistical analysis
- Tables for summarizing categorical data
- Pie charts and bar graphs
- Frequency and relative frequency tables
Students demonstrate mastery of this standard when they make effective use of bar graphs and pie charts to analyze categorical data, in addition to using relative and cumulative frequency tables to calculate percent increase. This standard can prepare them for college courses that require an ability to comprehend research being performed in their major areas of study.
How to Use These Lessons in Your Classroom
Here are some tips for incorporating these lessons into your curriculum to help meet the common core standards:
Have students watch the video lessons involving categorical data and tables. Gather information concerning those students in class who wear bicycle helmets and those who choose not to wear helmets. As a group, construct a table incorporating the data.
Bar Graphs and Pie Charts Lessons
After watching the video lessons about bar graphs and pie charts, use the data gleaned in the activity above to construct both a pie chart and a bar graph.
Relative Frequency Lessons
Share the video lessons concerned with relative frequency. In small groups, ask students to share whether brand names are important to them when they go shopping for clothing. Each group will then construct a relative frequency table and a bar graph using the data.
1. Statistical Analysis with Categorical Data
Learn why percentages are so important when analyzing categorical data in this video lesson. Watch as the data is turned into a data table and a visual bar graph as ways to analyze the data.
2. Summarizing Categorical Data using Tables
Watch this video lesson to find out why data tables are an excellent way to summarize your categorical data. Learn what you need to do to your data before constructing a table and the two ways you can show your data.
3. Understanding Bar Graphs and Pie Charts
In this lesson, we will examine two of the most widely used types of graphs: bar graphs and pie charts. These two graphs can provide the reader with a comparison of the different data that is displayed.
4. Frequency & Relative Frequency Tables: Definition & Examples
Frequency and relative frequency tables are a good way to visualize information. This is especially useful for information that is grouped into categories where you are looking for popularity or mode.
5. How to Calculate Percent Increase with Relative & Cumulative Frequency Tables
In statistics, one way to describe and analyze data is by using frequency tables. This lesson will discuss relative and cumulative frequencies and how to calculate percent increase using these two methods.
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