MA.8.S.3.1Archived Standard

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Select, organize and construct appropriate data displays, including box and whisker plots, scatter plots, and lines of best fit to convey information and make conjectures about possible relationships.

Remarks

 

Example: Alfonso's bowling scores are 125, 142, 165, 138, 176, 102, 156, 130, and 142. Make a box-and-whiskers plot of the data.
The box and whiskers plot below represents the bowling scores of Anna. Compare the bowling scores of Alfonso and Anna. Who is a better bowler?

 

General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 8
Body of Knowledge: Statistics
Idea: Level 2: Basic Application of Skills & Concepts
Big Idea: BIG IDEA 3 - Analyze and summarize data sets.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - 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 interpret data displayed in box-and-whisker plots, scatter plots, and lines of best fit and make conjectures.

    Students will select the best display for a given data set.

    Students will select the explanation that expresses the appropriate interpretation of the given data.

  • Content Limits :

    Data sets used in items should be limited to a maximum of 12 data points and three categories for all graphic displays except for scatter plots and lines of best fit.

    Graphic displays may include line graphs, line plots, pictographs, single/multiple-bar graphs, circle graphs, stem-and-leaf plots/tables, histograms, box-and-whisker plots, scatter plots, and lines of best fit.

    Items should have no more than two box-and-whisker plots from which to interpret data.

  • Stimulus Attributes :

    Items may ask students to use statistics to interpret and analyze real-world situations.

    All items should be set in a real-world context.

    Graphics should be used in all of these items.

    Items will use the terms first quartile and third quartile instead of lower quartile and upper quartile.

Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question: The table below shows a professional baseball player’s statistics for “Runs Batted In” (RBI) from 1998 through 2004.

    Statistics Table

     

     Which of the following box-and-whisker plots best represents the RBI data shown in the table?

  • 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 Plan

Spaghetti Bridges:

Students use data collection from their spaghetti bridge activity to write linear equations, graph the data, and interpret the data.

Type: Lesson Plan

Teaching Idea

Drops on a Penny (Box-and-Whiskers Graph):

Students collect data, compute measures of central tendency, and create stem-and-leaf plots and box-and-whiskers plots.

Type: Teaching Idea

Virtual Manipulatives

Advanced Data Grapher:

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

Curve Fitting:

With a mouse, students will drag data points (with their error bars) and watch the best-fit polynomial curve form instantly. Students can choose the type of fit: linear, quadratic, cubic, or quartic. Best fit or adjustable fit can be displayed.

Type: Virtual Manipulative

Box Plotter:

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

Type: Virtual Manipulative

Line of Best Fit:

This manipulative allows the user to enter multiple coordinates on a grid, estimate a line of best fit, and then determine the equation for a line of best fit.

Type: Virtual Manipulative

Student Resources

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

Virtual Manipulatives

Advanced Data Grapher:

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

Curve Fitting:

With a mouse, students will drag data points (with their error bars) and watch the best-fit polynomial curve form instantly. Students can choose the type of fit: linear, quadratic, cubic, or quartic. Best fit or adjustable fit can be displayed.

Type: Virtual Manipulative

Box Plotter:

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

Type: Virtual Manipulative

Line of Best Fit:

This manipulative allows the user to enter multiple coordinates on a grid, estimate a line of best fit, and then determine the equation for a line of best fit.

Type: Virtual Manipulative

Parent Resources

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