7th Grade Math

20 Start Smart

Display Data in a Venn Diagram

BAND Silvia conducted a survey asking eight of her friends

whether they are members of the jazz band or orchestra. Display

the results shown below in a Venn diagram.

Survey Results

Jazz Band Trina, Jerome, Logan, Kylie, Miguel

Orchestra Natalie, Kylie, Jerome, Malina, Tyree

First, draw two overlapping circles to represent jazz band and

orchestra. Label each circle.

Since Kylie and Jerome are in

both jazz band and orchestra,

write their names in the

overlapping region.

Write each of the other names

in the appropriate region.

Trina, Logan, and Miguel are

in jazz band only. Natalie,

Malina, and Tyree are in

orchestra only.

Analyze a Venn Diagram

BOOKS Use the Venn diagram

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Fiction

Nonfiction

Mystery

Book Preference

that shows students’ book

preferences.

Which students prefer to read

mystery and fiction books?

The region where the circle

labeled Mystery and the circle

labeled Fiction overlap contains

3 students: Ito, Mai, and Eva.

Which students prefer to read nonfiction but not mystery books?

Look at the circle labeled Nonfiction. It contains 6 students.

However, you need to find the students that do not prefer

mystery books. So, Beth, Jessica, and Alisa prefer nonfiction

but not mystery books.

A Venn diagram is often

two or more overlapping

circles. However, other

shapes can also be used.

Jazz Band Orchestra

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Survey

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