MA.6.S.6.2Archived Standard

loading spinner
Export Print
Select and analyze the measures of central tendency or variability to represent, describe, analyze, and/or summarize a data set for the purposes of answering questions appropriately.

Remarks

A teacher can give students data sets that contain test/quiz grades for hypothetical classes. Students are asked to calculate and compare the class mean, median, mode, and range and discuss the effects of any outliers on the measures of central tendency.
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 6
Body of Knowledge: Statistics
Idea: Level 3: Strategic Thinking & Complex Reasoning
Supporting Idea: Data Analysis - Data Analysis
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
  • Item Type(s): This benchmark may be assessed using: MC item(s)

  • Clarification :
    Students will determine which measures of central tendency or variability should be used to best describe the given data. 

    Students will identify one missing data point in a data set given the mean, median, and/or mode of the data set and all other data points. 

    Students will identify which question can be answered from a given measure of central tendency or variability.

  • Content Limits :
    Items may include data sets that are presented as lists, frequency tables, and charts.

    The number of data points may not exceed six when the mean is being calculated.

    The number of data points may not exceed ten when the median or mode is being determined.

    Graphical displays are limited to line graphs, double bar graphs, bar graphs, pictographs, and line plots.

    Items will not assess the vocabulary measures of central tendency or variability.

    Items may include, in both stem or answer options, the vocabulary word outlier.
  • Stimulus Attributes :
    Items should be set in a real-world or mathematical context.

    Graphics should be used in most of these items, as appropriate.
Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question: Noreen took 5 tests in her science class. Her test scores are shown in the table below.

    Table

    Noreen’s teacher calculated the mean, median, mode, and range of Noreen’s set of test scores. Which of these measures has the highest value?

  • Difficulty: N/A
  • Type: MC: Multiple Choice

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Lesson Plans

Calculating the Mean, Median, Mode, and Range from a Frequency Chart:

This lesson lasts a total of two hours: 15-minute pre-lesson, 90-minute lesson, and 15-minute follow up lesson or homework. Students will need the two worksheets, a mini-whiteboard, a pen, and an eraser. Each small group will need both card sets, a large sheet of paper, and a glue stick. Students will generate responses to a question about favorite computer games and use this data for the lesson. Students will then work collaboratively to display different data and discuss various strategy approaches.

Type: Lesson Plan

Flipping the house:

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.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Exploring Central Tendency:

Students will review measures of central tendency and practice selecting the best measure with real-world categorical data. This relatable scenario about ranking the characteristics considered when purchasing a pair of sneakers, is used to finally answer the age-old question of "When will I ever use this?".

Type: Lesson Plan

Data Doctors:

Have your students become "Data Doctors" by examining and analyzing means of central tendency. This lesson is a great introduction to mean, median, mode and range. Students will be sets of data, get to work in small groups examining the sets, learn a poem that will help them remember each term and take surveys to get real data sets.

Type: Lesson Plan

Candy Colors: Figuring the Mean, Median & Mode:

In this lesson, students will count candy of different colors and use the data to calculate mean, median, and mode. Groups of students will work together to share their data and calculate the measures of central tendency again. At the end of the lesson, they will apply their learning to another collection of data.

Type: Lesson Plan

STEM Lessons - Model Eliciting Activity

Flipping the house:

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.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.