Learn on PengiIllustrative Mathematics, Grade 7Chapter 8: Probability and Sampling

Lesson 3: Sampling

In this Grade 7 Illustrative Mathematics lesson, students learn how to compare two groups of data using measures of center such as mean and median alongside measures of variability such as mean absolute deviation (MAD) and interquartile range. Using real-world contexts like team heights and song lengths, students practice creating and interpreting dot plots to determine whether differences between groups are meaningful. The lesson builds statistical reasoning skills by showing how a single summary statistic must be considered alongside spread to draw valid comparisons.

Section 1

Visualizing Data Distributions with Double Dot Plots

Property

A double dot plot displays two data sets on the same number line using different symbols or colors, allowing direct visual comparison of distribution shapes, centers, spreads, and overlap between populations.

Examples

Section 2

Defining Population and Sample

Property

A population is the complete set of all individuals or items that we want to study and draw conclusions about. A sample is a subset of the population that is actually observed or measured to gather data.

Examples

Book overview

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Chapter 8: Probability and Sampling

  1. Lesson 1

    Lesson 1: Probabilities of Single Step Events

  2. Lesson 2

    Lesson 2: Probabilities of Multi-step Events

  3. Lesson 3Current

    Lesson 3: Sampling

  4. Lesson 4

    Lesson 4: Using Samples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Visualizing Data Distributions with Double Dot Plots

Property

A double dot plot displays two data sets on the same number line using different symbols or colors, allowing direct visual comparison of distribution shapes, centers, spreads, and overlap between populations.

Examples

Section 2

Defining Population and Sample

Property

A population is the complete set of all individuals or items that we want to study and draw conclusions about. A sample is a subset of the population that is actually observed or measured to gather data.

Examples

Book overview

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

Continue this chapter

Chapter 8: Probability and Sampling

  1. Lesson 1

    Lesson 1: Probabilities of Single Step Events

  2. Lesson 2

    Lesson 2: Probabilities of Multi-step Events

  3. Lesson 3Current

    Lesson 3: Sampling

  4. Lesson 4

    Lesson 4: Using Samples