Question

John surveyed 25 of his classmates about their music preferences7 students said they like hip-hop, 13 students said they pop, and 8 students said they liked neither hip-hop nor pop musicJohn made a Venn diagram to find the number of students who like both hip-hop and pop music Evaluate John's work Did he use the Venn diagram accurately to arrive at a correct solution?

Answer 1

The venn diagram is not included in the question, but il try to answer it in a general way.

We have a sample of 25 persons.

7 of them like hiphop.

13 of them like pop

8 of them do not like neither.

So in our Venn diagarm we will have two circles, one for the students that like pop and other for the students that like hip-hop.

in the pop circle we have 13 students, in the circle of hiphop we have 7 students, and outside both circles we have 8 stundents.

Now, if we add it all we get:

13 + 7 + 8 = 28,

But we have 25 students, this means that 3 of the students like both genres, hip hop and pop.

Then the circles of hip hop and pop must have an intersection, and in the intersection we must have 3 students.