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Chapter 2 Concept Map: Displaying Categorical Data

Run the Chapter 2 Concept Map Fullscreen

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Description

This interactive concept map provides a visual overview of all the key concepts covered in Chapter 2: Displaying Categorical Data. The hierarchical structure shows how concepts relate to each other and builds understanding of the chapter's organization.

Main Branches

The concept map has four main branches stemming from the root concept:

  1. Organizing Data (Blue) - Methods for arranging raw categorical data
  2. Frequency Table
  3. Relative Frequency

  4. Cumulative Frequency

  5. Single Variable Displays (Green) - Visual representations for one variable

  6. Bar Graph

  7. Pie Chart

  8. Two Variable Analysis (Orange) - Examining relationships between two categorical variables

  9. Two-Way Table

    • Marginal Distribution
    • Conditional Distribution

  10. Association (Purple) - Understanding relationships between variables

  11. Direction (Positive / Negative)
  12. Strength

Interactive Features

  • Hover over any node to see its definition in a tooltip
  • Click on a node to highlight its branch (ancestors and descendants) while dimming other nodes
  • Click again on the same node or anywhere else to clear the selection and show all branches
  • Color-coded branches help distinguish between different concept themes

The color scheme reinforces the organization:

  • Blue nodes relate to organizing and summarizing data
  • Green nodes represent graphical displays
  • Orange nodes cover two-variable analysis
  • Purple nodes deal with association concepts

Lesson Plan

Learning Objective

Students will identify and recognize the key concepts in Chapter 2 and understand how they relate to each other in a hierarchical structure.

Bloom's Taxonomy Level

Remember (L1) - Recognize, identify

Grade Level

High School (AP Statistics) or Undergraduate Introduction to Statistics

Prerequisites

  • Reading of Chapter 2 introduction
  • Basic understanding of what categorical data means

Duration

10-15 minutes

Activities

  1. Orientation (3 minutes): Have students explore the concept map by hovering over each main branch to understand the four major themes of the chapter.

  2. Concept Exploration (5 minutes): Students click on each main branch one at a time to focus on that section. For each branch, have them:

  3. Read the definitions of all concepts in that branch
  4. Identify which concepts are sub-concepts of others

  5. Note any concepts they want to learn more about

  6. Connection Building (5 minutes): Ask students to consider:

  7. Which organizing method (frequency table, relative frequency, cumulative frequency) might be used with which display?
  8. How does a two-way table connect to the idea of association?

  9. Why are "direction" and "strength" important when describing associations?

  10. Preview Discussion (2 minutes): Use the concept map to preview the chapter structure and set expectations for what students will learn.

Assessment Questions

  1. What are the four main branches of concepts in Chapter 2?
  2. What is the difference between marginal and conditional distribution?
  3. Name two ways to display a single categorical variable.
  4. What two aspects describe an association between variables?

Extension

Have students return to this concept map after completing the chapter and see if they can now explain each concept without looking at the definitions.

References