*For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.*

**Subject Area:**Mathematics

**Grade:**7

**Domain-Subdomain:**Statistics & Probability

**Cluster:**Level 2: Basic Application of Skills & Concepts

**Cluster:**Draw informal comparative inferences about two populations. (Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved

**Assessed:**Yes

Assessed with:

MAFS.7.SP.2.4

**Test Item #:**Sample Item 1**Question:**Two classes have a trivia contest. Each student is asked eight questions and is scored on the number of correct answers. The teachers create a dot plot of the scores from 15 students from Class A and 14 students from Class B, as shown.

Another score is added to the plot for Class B to make the median of the two data sets equal.

Click on the dot plot to show where this score could have been added.

**Difficulty:**N/A**Type:**GRID: Graphic Response Item Display

## Related Courses

## Related Access Points

## Related Resources

## Assessments

## Formative Assessments

## Lesson Plans

## Original Student Tutorial

## Perspectives Video: Experts

## Perspectives Video: Professional/Enthusiasts

## Perspectives Video: Teaching Idea

## Problem-Solving Tasks

## Virtual Manipulatives

## MFAS Formative Assessments

Students are asked to informally determine the degree of overlap between two distributions with the same mean absolute deviation (MAD) by expressing the difference in their means as a multiple of the MAD.

Students are asked to informally determine the degree of overlap between two distributions with the same interquartile range (IQR) by expressing the difference between their medians as a multiple of the IQR.

Students are asked to informally determine the degree of overlap between two distributions with the same interquartile range (IQR) by expressing the difference between their medians as a multiple of the IQR.

## Original Student Tutorials Mathematics - Grades 6-8

Learn how math models can show why social distancing during a epidemic or pandemic is important in this interactive tutorial.

## Student Resources

## Original Student Tutorial

Learn how math models can show why social distancing during a epidemic or pandemic is important in this interactive tutorial.

Type: Original Student Tutorial

## Problem-Solving Task

In this task, students are able to conjecture about the differences and similarities in the two groups from a strictly visual perspective and then support their comparisons with appropriate measures of center and variability. This will reinforce that much can be gleaned simply from visual comparison of appropriate graphs, particularly those of similar scale.

Type: Problem-Solving Task

## Virtual Manipulatives

In this activity, students use preset data or enter in their own data to be represented in a box plot. This activity allows students to explore single as well as side-by-side box plots of different data. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the Java applet.

Type: Virtual Manipulative

This is an online graphing utility that can be used to create box plots, bubble graphs, scatterplots, histograms, and stem-and-leaf plots.

Type: Virtual Manipulative

Users select a data set or enter their own data to generate a box plot.

Type: Virtual Manipulative

Using an interactive applet, students can compare and contrast properties of measures of central tendency, specifically the influence of changes in data values on the mean and median. As students change the data values by dragging the red points to the left or right, the interactive figure dynamically adjusts the mean and median of the new data set.

(NCTM's Illuminations)

Type: Virtual Manipulative

## Parent Resources

## Problem-Solving Task

In this task, students are able to conjecture about the differences and similarities in the two groups from a strictly visual perspective and then support their comparisons with appropriate measures of center and variability. This will reinforce that much can be gleaned simply from visual comparison of appropriate graphs, particularly those of similar scale.

Type: Problem-Solving Task