Learn on PengiBig Ideas Math, Advanced 2Chapter 9: Data Analysis and Displays

Section 9.4: Choosing a Data Display

In this Grade 7 lesson from Big Ideas Math Advanced 2, Chapter 9, students learn how to choose appropriate data displays — including bar graphs, circle graphs, line graphs, histograms, stem-and-leaf plots, box-and-whisker plots, dot plots, and scatter plots — based on the type of data and the information they want to communicate. Students analyze real-world data sets and practice matching each display type to its purpose, such as using a line graph to show change over time or a scatter plot to compare two related data sets.

Section 1

Selecting Appropriate Data Displays

Property

Choose data displays based on data type and purpose: categorical data \rightarrow bar graphs or circle graphs; numerical data over time \rightarrow line graphs; numerical data distribution \rightarrow histograms, dot plots, or box-and-whisker plots; relationship between two variables \rightarrow scatter plots; ordered numerical data \rightarrow stem-and-leaf plots.

Examples

Section 2

Bar Graphs

Property

We can use a bar graph to display the values of a variable. The height of the bar illustrates the value at each time or in each situation. A double bar graph can be used to compare the values of two different variables under the same conditions.

Examples

  • A bar graph shows daily screen time. On Monday, the bar reaches 3 hours. On Wednesday, it reaches 2 hours. This means screen time was 1 hour longer on Monday than on Wednesday.
  • A double bar graph compares the number of goals scored by Team A and Team B. In the first game, Team A's bar is at 4 and Team B's is at 2. Team A scored 2 more goals.

Section 3

Circle Graphs for Part-to-Whole Data

Property

Circle graphs (pie charts) display data as sectors of a circle where each sector represents a part of the whole. The central angle of each sector is proportional to the data value: Central Angle=Data ValueTotal×360°\text{Central Angle} = \frac{\text{Data Value}}{\text{Total}} \times 360°

Examples

Book overview

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Chapter 9: Data Analysis and Displays

  1. Lesson 1

    Section 9.1: Scatter Plots

  2. Lesson 2

    Section 9.2: Lines of Fit

  3. Lesson 3

    Section 9.3: Two-Way Tables

  4. Lesson 4Current

    Section 9.4: Choosing a Data Display

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Selecting Appropriate Data Displays

Property

Choose data displays based on data type and purpose: categorical data \rightarrow bar graphs or circle graphs; numerical data over time \rightarrow line graphs; numerical data distribution \rightarrow histograms, dot plots, or box-and-whisker plots; relationship between two variables \rightarrow scatter plots; ordered numerical data \rightarrow stem-and-leaf plots.

Examples

Section 2

Bar Graphs

Property

We can use a bar graph to display the values of a variable. The height of the bar illustrates the value at each time or in each situation. A double bar graph can be used to compare the values of two different variables under the same conditions.

Examples

  • A bar graph shows daily screen time. On Monday, the bar reaches 3 hours. On Wednesday, it reaches 2 hours. This means screen time was 1 hour longer on Monday than on Wednesday.
  • A double bar graph compares the number of goals scored by Team A and Team B. In the first game, Team A's bar is at 4 and Team B's is at 2. Team A scored 2 more goals.

Section 3

Circle Graphs for Part-to-Whole Data

Property

Circle graphs (pie charts) display data as sectors of a circle where each sector represents a part of the whole. The central angle of each sector is proportional to the data value: Central Angle=Data ValueTotal×360°\text{Central Angle} = \frac{\text{Data Value}}{\text{Total}} \times 360°

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 9: Data Analysis and Displays

  1. Lesson 1

    Section 9.1: Scatter Plots

  2. Lesson 2

    Section 9.2: Lines of Fit

  3. Lesson 3

    Section 9.3: Two-Way Tables

  4. Lesson 4Current

    Section 9.4: Choosing a Data Display