Learn on PengiPengi Math (Grade 7)Chapter 9: Statistics - Sampling and Inferences

Lesson 3: Comparing Data Distributions Visually

In this Grade 7 Pengi Math lesson from Chapter 9, students learn to interpret the shape of data distributions by identifying clusters, peaks, gaps, and outliers in dot plots. They create and analyze double dot plots to compare two populations on the same scale, informally assessing the degree of visual overlap between distributions. The lesson builds skills in comparing the centers and spreads of two data sets using visual reasoning.

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

Comparing Histograms with Equal Intervals

Property

When comparing histograms with equal intervals, follow these steps:
(1) Verify both histograms use identical interval widths and boundaries;
(2) Compare which intervals contain more or fewer values in each distribution;
(3) Describe where most of the data are located and how spread out the data are overall;
(4) Use these observations to make a reasonable comparison between the groups.

Examples

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

Comparing Histograms with Equal Intervals

Property

When comparing histograms with equal intervals, follow these steps:
(1) Verify both histograms use identical interval widths and boundaries;
(2) Compare which intervals contain more or fewer values in each distribution;
(3) Describe where most of the data are located and how spread out the data are overall;
(4) Use these observations to make a reasonable comparison between the groups.

Examples