Activity 5.3 Cardinality of Sets - Evaluation - Blank
The Grade 7 guidance counselor surveyed the students to inquire about their activities after school. There were four options: participating in community service, spending over 2 hours on homework, joining an interest club, or practicing with a varsity team.
Here are some of the results the guidance counselor collected. Use the following data to create a Venn diagram illustrating the cardinality of each region or set.
- There are 47 students who said that they do community service.
- There are 107 students who accomplish their homeworks for more than 2 hours.
- There are 50 students who participate in an interest club.
- There are 18 students who do community service, accomplish their homeworks for more than 2 hours, and practice as part of a varsity team.
- There are 14 students who do community service and accomplish their homeworks for more than 2 hours but did not practice as part of a varsity team.
- There are 40 students who accomplish their homeworks for more than 2 hours and practice as part of a varsity team.
- There are 27 students who do community service and practice as part of a varsity team.
- There are 22 students who practice as part of a varsity team and did not accomplish their homeworks for more than 2 hours.
- There are 112 students who join an interest club or practice with a varsity team.
- There are 35 students who did not do community service, nor accomplish their homeworks for more than 2 hours, nor practice as part of a varsity team.
- There are 163 students who either do community service, or accomplish their homeworks for more than 2 hours, or participate in an interest club, or practice as part of a varsity team.
- The total number of students surveyed is 170.