Question

A recent survey of

300 juniors and seniors in physics in a certain high school had the following results: 160 males, 80 junior females, 130 seniors. Draw a vent diagram and label the data.

Answer 1

The total number of students in a survey is 300.

Let the number of junior male(JM) be x and the number of senior males(SM) be y.

Let the number of junior female(JF) be p and the number of senior males(SF) be q.

It is given that there are 160 males, 80 junior females, 130 seniors.

Since number of males are 160. So the number of females are,

`300-160=140`

Since number of junior females is 80.

`JF+SF=140\\80+SF=140\\SF=60`

Since number of seniors are 130.

`SM+SF=130\\SM+60=130\\SM=70`

Since number of males is 160.

`JM+SM=160\\JM+70=160\\JM=90`

Therefore, the table and venn diagram is shown below.