Question

Complete the two-way frequency table below. The table shows that, of 40 students in a physical education class, 16 play football, 9 play basketball, and 4 play both sports. How many students in this class do not play football or basketball?
Football Do Not Play Football Total
Basketball 4 9
Do Not Play Basketball
Total 16 40

A.) 19
B.) 21
C.) 4
D.) 17

Answer 1

i tried working this out but it doesnt make sense, at least the table doesnt... did you make this question up or get it off of a school assignment??

Answer 2

Answer: Option A; 19

Step-by-step explanation:

The data is:

We have 40 students.

16 play football

9 play basketball

4 play bot sports.

We want to find the number of students that do not play either sport, for this we should add the number of students that play football and the number of students that play basketball, subtracting the number of students that play both sports (because we sill be counting those two times, this is because those 4 students are included in the 16 for football and also in the 9 for basketball.)

N = 16 + 9 - 4 = 12 + 9 = 21

the number of students that do not play basket or football is equal to:

40 - N = 40 - 21 = 19

The correct option is A