Question

Draw a Venn diagram to help answer the following survey:

A middle school teacher found the following information for her group of students:

34 had seen Despicable Me

29 had seen Epic

26 had seen Turbo

16 had seen Despicable Me and Epic

12 had seen Despicable Me and Turbo

10 had seen Epic and Turbo

4 had seen all three of the films

5 had seen none of the three films

a)How many students had seen Turbo only?

b) How many saw Epic only?

c) How many had seen exactly two of the films?

d) How many students were surveyed?

Answer 1

a)8

b)7

c)26

d)60

Explanation:

The Venn Diagram is attached

For number of people who saw a single movie only

See the number associated with the movie name excluding all intersection parts

For people who watched only 2 movies exactly

Sum all the intersection parts of any 2 circle parts=6+12+8=26

For total number of students surveyed

Sum up every number in the Venn diagram including the number 5 outside 3 circles(it represents that 5 people did not watch any of the films)

=7+12+10+6+4+8+8+5=60