Project 1 - Sets
Objective: To use survey data to explore different regions of three intersecting sets
- You may work alone or with one or two other people from the class (No more than three people in a group). If you work with other people, you will hand in one project and each of you will receive the same grade, so be sure every member of the group contributes equally to the project.
- When you submit the project, use only one side of each piece of paper. The project should have a title sheet with the name of each person.
- The first page should contain the description of the problem and the six questions, neatly written. The second page should contain the solution - hand drawn and hand-written neatly.
- If you hand in the project late, points will be deducted from your grade.
Method:
- Survey, interview, or hand out a questionnaire about a subject that interests you. The questionnaire should ask provide information about three different sets. Look at problems in Section 2.5 and the Survey Handout for some ideas.
- Write down the total number you surveyed and figure the totals for all the
possible overlaps of the three different sets. You should end up with eight regions.
- Draw three overlapping sets, surrounding by the universal set, U. Label each set. Fill in the correct numbers for each region.
- Construct five questions: the questions should all illustrate different types of set relationships with your survey information such as
none, only..., A or B but not C, exactly two, A or B, etc.
- Show your work and answer each question that you made up. Remember you have to show your work in order to receive the credit.