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### Grade 7 - Mathematics10.4 Organizing Data in Venn Diagrams

A Venn diagram is a diagram that uses circles to illustrate the relationships among sets.

Examples:

1. The Venn diagram below shows the number of grade 7 students who scored above 50% on Math, above 50% on Science, and above 50% on both Math and Science.

From the above Venn diagram, 16 students scored above 50% on Math, 21 students scored above 50% on Science, and 6 students scored above 50% on both Math and Science.

2. In a survey, the genders and ages of people who completed the questions are shown in the table below. Make a Venn diagram to show the number of people who are female and over age 30.
Survey Results:
 Gender Age Gender Age M 18 M 16 F 30 M 35 F 25 F 28 M 50 F 45 M 60 F 35 F 17 M 38 F 42 F 29 F 30 F 46 M 27 M 32 F 48 F 25

Directions: Answer the following questions. Also write at least 2 examples of your own.
• Make a Venn Diagram to show how many seventh grade females students responded to a recent survey.
Survey results:
 Grade 6th 5th 8th 6th 7th 8th 7th 8th 6th 5th Gender M F M F M F M F F M
• Make a Venn Diagram to show how many unemployed college graduates responded to a recent survey.
Survey results:
 College Graduates yes no yes yes yes yes no yes no yes yes no Employed yes yes no no yes no yes yes yes no yes no