Draw a Venn diagram

Question

A survey of 175 Newspaper readers, 112 indicated that they read Daily Express, 108 said they read The Tribune, and 82 said they read The Star. Of these, 60 read both Daily Express and The Tribune, 40 read Daily Express and The Star and 50 read The Tribune and The Star. Ten persons indicted he reads all the three newspapers.

     i.           Draw a Venn diagram to represent this information.                                    (6 Marks)

    ii.           How many did not read any of the three newspapers?                     (2 Marks)

   iii.           How many read The Star or Tribune but not Daily Express? (2 Marks)

Answer 1

15 didn't read any of the 3

132 read either Star or Tribune but not Daily Express

50 read the Star and Tribune but not the Daily Express

Draw 3 overlapping circles, inside a rectangle

all 3 overlap with 10

D amd T overlap with 60

T and S overlap with 50

D and S overlap with 90

Just D =22, just T=8, just S=2

Just D&T =50

Just T&S =40

Just D&T =30

S+T+D = 160

inside the rectangle, but outside the circles = 15