MA.5.DP.1.2

Interpret numerical data, with whole-number values, represented with tables or line plots by determining the mean, mode, median or range.

Examples

Rain was collected and measured daily to the nearest inch for the past week. The recorded amounts are 1,0,3,1,0,0 and 1. The range is 3 inches, the modes are 0 and 1 inches and the mean value can be determined as begin mathsize 12px style fraction numerator open parentheses 1 plus 0 plus 3 plus 1 plus 0 plus 0 plus 1 close parentheses over denominator 7 end fraction end style which is equivalent to begin mathsize 12px style 6 over 7 end style of an inch. This mean would be the same if it rained begin mathsize 12px style 6 over 7 end style of an inch each day.

Clarifications

Clarification 1: Instruction includes interpreting the mean in real-world problems as a leveling out, a balance point or an equal share.
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 5
Strand: Data Analysis and Probability
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.5.DP.1.AP.2: Interpret numerical data, with whole-number values, represented with tables or line plots by determining the mean, mode or range. Line plot scales to include only whole numbers, halves and quarters.

Related Resources

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

Lesson Plans

How Does Force Affect Motion?:

Students will explore how force affects an object's motion. Students will discuss how the greater the mass of an object, the greater the force required to move an object.  Students will use data gathered through experimentation to justify their reasoning and understanding of forces and motion.

Type: Lesson Plan

Marbelous Pool Noodle Ramps:

In this lesson, students will build a ramp out of a pool noodle and use it to launch a marble across the room. Students will investigate by adjusting the height and slope of the ramp and record their findings on a data sheet. Students will practice collecting and analyzing data and will investigate the importance of performing repeated experimental trials. Students will practice converting metric units of distance as well as the addition and division of decimals to find the mean of a small data set.

Type: Lesson Plan

Paper Airplanes Away!:

In this lesson, students will design and fly their own paper airplane and analyze their flight data to determine the best designs for getting planes to travel the farthest distance. Students will organize class flight data into a line plot and calculate the mean, median, mode, and range for the data set.

Type: Lesson Plan

Practicing With Mean:

In this lesson plan, students will practice finding the mean of a set of data and be able to connect that to how mean is used in real-life. Students will be able to collect data, create line plots, interpret the data, and find the mean.

Type: Lesson Plan

Voter Turnout and the 15th Amendment:

In this lesson plan, students will graph and analyze voting data to explain how the 15th Amendment expanded civic participation.

Type: Lesson Plan

Teaching Ideas

Ball Bounce Experiment:

Students investigate different balls' abilities to bounce and represent the data they collect graphically.

Type: Teaching Idea

Jump or Be Lunch! SeaWorld Classroom Activity:

Students will predict how high they can jump and then compare the height of their jumps to how high a rockhopper penguin can jump out of the water. They will practice mathematical skills for determining averages.

Type: Teaching Idea

Tutorials

Redistributing Trail Mix:

This Khan Academy tutorial video presents a strategy for solving the following problem: given a dot plot with different measurements of trail mix in bags, find the amount of trail mix each bag would contain, if the total amount in all the bags was equally redistributed.

Type: Tutorial

Frequency tables and Dot Plots:

In this video, we organize data into frequency tables and dot plots (sometimes called line plots).

Type: Tutorial

Student Resources

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

Tutorials

Redistributing Trail Mix:

This Khan Academy tutorial video presents a strategy for solving the following problem: given a dot plot with different measurements of trail mix in bags, find the amount of trail mix each bag would contain, if the total amount in all the bags was equally redistributed.

Type: Tutorial

Frequency tables and Dot Plots:

In this video, we organize data into frequency tables and dot plots (sometimes called line plots).

Type: Tutorial

Parent Resources

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