**Subject Area:**Mathematics

**Grade:**6

**Domain-Subdomain:**Statistics & Probability

**Cluster:**Level 1: Recall

**Cluster:**Develop understanding of statistical variability. (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

**Assessment Limits :**

Data sets in items must be numerical data sets.**Calculator :**No

**Context :**Allowable

**Test Item #:**Sample Item 1**Question:**Tim drives the Grand Avenue bus route. The total number of people who ride the bus each week for 5 weeks is shown in the data table.How many more people need to ride the bus in week 6 to increase the mean number of riders per week by 10?

**Difficulty:**N/A**Type:**EE: Equation Editor

**Test Item #:**Sample Item 2**Question:**Linda recorded the number of minutes she practiced playing her violin for 10 days. The table shown represents the data she collected.A. According to the data, what is the average amount of time Linda spent practicing per day?

B. What is Linda’s variation among all 10 days?

**Difficulty:**N/A**Type:**EE: Equation Editor

**Test Item #:**Sample Item 3**Question:**Tim drives the Grand Avenue bus route. He records the total number of passengers each week for 4 weeks. The mean and mean absolute deviation of the data are shown.- Mean: 17,123
- Mean absolute deviation: 611

**Difficulty:**N/A**Type:**MS: Multiselect

## Related Courses

## Related Access Points

## Related Resources

## Assessments

## Formative Assessments

## Lesson Plans

## Original Student Tutorials

## Perspectives Video: Expert

## Problem-Solving Task

## Teaching Ideas

## Tutorials

## Virtual Manipulatives

## Worksheet

## STEM Lessons - Model Eliciting Activity

After reading the market report for the real estate sales in Miami during the first quarter, students will decide which type of property they want to consider for investment that can be sold during the next year and still make a profit from the sale. In addition, students will determine the best location to make the investment. Luxury homes are selling faster this year, while there is not inventory for single families houses. The median prices for condos and apartments are lower, but the number of sales is going up. Students also consider price fluctuation between different locations.

## MFAS Formative Assessments

Students are asked to explain the difference between measures of center and measures of variability.

Students are asked to list measures of center and explain what they indicate about a set of data.

Students are asked to list measures of variability and explain what they indicate about a set of data.

## Original Student Tutorials Mathematics - Grades 6-8

Learn how to calculate and interpret the Mean Absolute Deviation (MAD) of data sets in this travel-themed, interactive statistics tutorial.

## Original Student Tutorials Mathematics - Grades 9-12

Discover how to calculate and interpret the mean, median, mode and range of data sets from the zoo in this interactive tutorial.

## Student Resources

## Original Student Tutorials

Learn how to calculate and interpret the Mean Absolute Deviation (MAD) of data sets in this travel-themed, interactive statistics tutorial.

Type: Original Student Tutorial

Discover how to calculate and interpret the mean, median, mode and range of data sets from the zoo in this interactive tutorial.

Type: Original Student Tutorial

## Tutorial

The focus of this video is to help you understand the core concepts of arithmetic mean, median, and mode.

Type: Tutorial

## Virtual Manipulatives

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