Question

Will surveyed students at his school about whether they have ever gone snowboarding and whether they own a skateboard. He found that 35 of the 99 students who own a skateboard have snowboarded. Also, there were 13 students who have snowboarded but do not own a skateboard, and 147 students who have never gone snowboarding and do not own a skateboard. Which two-way table correctly displays this data?

Answer 1

third graph

Explanation:

We represent the above information in a two way frequency table.

Have Snowboarded Never Snawboarded Total

Skateboard 35 64 99

No Skateboard 13 147 160

Total 48 211 259

Therefore, the third graph is the correct answer.

Answer 2

We are given that,

The number of students who have gone snowboarding and who own a skateboard shown by the survey are,

Number of students who own a skateboard = 99

Out of these 99, the number of students who have snow-boarded = 35

So, the number of students who have not snow-boarded = 99 - 35 = 64

The number of students who have snow-boarded but do not own a skateboard = 13

And, the number of students who have never gone snowboarding and do not own a skateboard = 147

Thus, the two-way table is given by,

Have Snow-boarded Never snow-boarded Total

Skateboard 35 64 99

No skateboard 13 147 160

Total 48 211 259