Objective

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Measures of Center and Variability Test

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Objective

Students will be able to demonstrate their abilities to apply measures of center and variability to solve problems.

Big Idea

See the fruits of your labor! Students will demonstrate their abilities to apply measures of center and variability to solve problems.

Lesson Author

Heather Stephan

Elon, NC

Grade Level

Seventh grade

Subjects

Math

making predictions

measures of central tendency

Statistics

Standards

7.SP.B

Draw informal comparative inferences about two populations.

7.SP.B.3

Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.

7.SP.B.4

Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.

MP1

Make sense of problems and persevere in solving them.

MP2

Reason abstractly and quantitatively.

MP4

Model with mathematics.

MP5

Use appropriate tools strategically.

MP6

Attend to precision.

Launch

10 minutes

As students enter the room, they will be asked to discuss the topics of mean, median, mode, range, mean absolute deviation, interquartile range, center, shape and spread with one another.

After completion of the opener, I will address the learning target, “I can calculate and apply measures of center and variability to solve problems.”

Explore

45 minutes

Test: Today students will take the Measures of Center and Variability Test. The test consists of 15 multiple choice questions. For multiple choice questions, I use the website www.masteryconnect.com, see my Instructional Strategy clip on Mastery Connect for more information.

Even though today's focus is a test, the mathematical practices are still present. The questions on the test require students to analyze both verbal and mathematical models, and abstract information and draw conclusions, as well as persevere with the problems until they can reach an answer - mathematical practices 1, 2, and 4. As with any test, precision is important - mathematical practice 6. Students will be permitted to use a calculator as well, mathematical practice 5.

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2 minutes

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