- Reporting the number of observations.
- Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.
- Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
- Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

**Subject Area:**Mathematics

**Grade:**6

**Domain-Subdomain:**Statistics & Probability

**Cluster:**Level 3: Strategic Thinking & Complex Reasoning

**Cluster:**Summarize and describe distributions. (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 :**

Displays should include only dot/line plots, box plots, or histograms.**Calculator :**No

**Context :**Required

**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.What is the range of the number of people who ride the bus each week?

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

**Test Item #:**Sample Item 2**Question:**Alex found the mean number of food cans that were donated by students for the canned food drive at Epping Middle School. Alex’s work is shown.How many students donated food cans?

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

**Test Item #:**Sample Item 3**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.What is the interquartile range of the data?

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

**Test Item #:**Sample Item 4**Question:**A dot plot shows the number of cans students at Epping Middle School collected for a canned food drive.Select all the options that describe the best measure of center to represent the data in the dot plot.

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

**Test Item #:**Sample Item 5**Question:**A line plot shows the number of cans a class of students at Epping Middle School collected for a canned food drive.How many students collected cans of food?

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

## Related Courses

## Related Access Points

## Related Resources

## Assessments

## Formative Assessments

## Lesson Plans

## Original Student Tutorial

## Perspectives Video: Professional/Enthusiast

## Problem-Solving Tasks

## Student Center Activity

## Teaching Ideas

## Text Resource

## Tutorials

## Video/Audio/Animation

## Virtual Manipulatives

## Worksheet

## STEM Lessons - Model Eliciting Activity

Students are asked to break down player statistics into percentages to determine the best players to send to an all star team. Students are then requested to write about the procedure used to make their decisions. Students are then asked to rank the players from one to five with one being the top pick.

In this MEA, students will apply the concepts of heat transfer, especially convection. Students will analyze factors such as temperature that affect the behavior of fluids as they form convection currents.

Use tables, graphs and models to represent, analyze and solve real world problems.

## MFAS Formative Assessments

Students are asked to calculate measures of center and variability, identify extreme values, and interpret the meaning of each in context.

Students are given a histogram and are asked to describe the variable under investigation and the number of observations.

Students are asked to calculate measures of center and variability, identify outliers, and interpret the meaning of each in context.

Students are asked to select the better measure of center and variability to describe each of two distributions 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.

## Student Resources

## Original Student Tutorial

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

## Problem-Solving Task

Students are given a context and a dotplot and are asked a number of questions regarding shape, center, and spread of the data.

Type: Problem-Solving Task

## Student Center Activity

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Type: Student Center Activity

## Tutorials

In this video, you will see two ways to find the Mean Absolute Deviation of a data set.

Type: Tutorial

This video shows how to find the value of a missing piece of data if you know the mean of the data set.

Type: Tutorial

## 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

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

Students are given a context and a dotplot and are asked a number of questions regarding shape, center, and spread of the data.

Type: Problem-Solving Task