Venn Diagram Problem: Survey of 50 Students' Preferences

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Homework Help Overview

The discussion revolves around a Venn diagram problem involving survey data from 50 students regarding their preferences for three propositions. Participants are tasked with interpreting the given data to fill in the Venn diagram and answer related questions about the students' preferences.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss how to approach filling in the Venn diagram, suggesting starting with the intersections of the propositions and working outward. There are questions about how to label the counts accurately and how to set variables for regions not explicitly defined in the problem.

Discussion Status

The discussion has seen some guidance offered regarding the methodology for constructing the Venn diagram. However, there is a lack of consensus on the specific steps to take, as one participant claims the problem is solved without detailing the process.

Contextual Notes

Participants are working with specific counts provided in the problem statement, and there may be assumptions regarding the completeness of the data or the need for additional information to fully resolve the questions posed.

korr2221
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In an interview of 50 students,
12 liked Proposition 8 and Proposition 13
18 liked Proposition 8, but not Proposition 5
4 like Proposition 8, Proposition 13 and Proposition 5
25 liked Proposition 8
15 liked Proposition 13
10 liked Proposition 5, but not Proposition 8 or Proposition 13
1 liked Proposition 13 and Proposition 5, but not Proposition 8

a. Show the completed Venn diagram
b. Of those surveyed, how many did not like any of the three propositions?
c. How many liked Proposition 8 and Proposition 5?

Where do I start, can someone give me step by step directions? Thanks
 
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Draw as many circles (overlapping) as there are categories
Begin labeling counts where all 3 intersect, then 2 at at time, etc.
Be careful with your counting.
 
To help you a bit more:
As you work yourself "outward" as statdad suggests, set "x", "y" and so on in regions not covered by any explicit statements. These will help you establishing equations you'll probably need to solve.
 
problem solved. thanks everyone.
 

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