There are 150 students in 7th grade. After signing up for electives for next year, the counselor posted the following data:

Art - 65 students
Band - 70 students
Theatre - 50 students

Not all students signed up for an elective.
Display this data using Venn Diagrams.

I do not think there is enough information to do anything but draw three intersecting circles.
Am I missing something?

I don't believe the teacher's solution:

30 take just art
30 take just theater
45 take just band
15 take all three
15 take none
5 take art and band
5 take art and theater
5 take band and theater
What do you think?

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No, you are correct. Based on the given information, there isn't enough data to create a Venn diagram with specific numbers for each intersection. However, we can still draw a general Venn diagram to represent the information provided.

To create the Venn diagram, start by drawing three overlapping circles to represent the three elective choices: Art, Band, and Theatre. Label each circle accordingly.

Then, based on the information given, you can provide an estimation of the number of students in each elective by shading the regions of the circles. For example, if 65 students signed up for Art, you can shade the region inside the Art circle to represent those students. Similarly, shade the appropriate regions for Band and Theatre based on the number of students who signed up for each elective.

Keep in mind that without specific numbers for each intersection, the shaded regions might overlap, indicating that there are students who signed up for multiple electives. However, since the exact number of students who signed up for multiple electives is not provided, it cannot be accurately represented in the Venn diagram.