will surveyed students at his school about whether they have ever gone snowboarding and whether they own a…
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
Explanation:
Step1: Calculate number of students who own a skateboard and never snowboarded
We know 99 students own a skateboard and 35 of them have snowboarded. So the number of skate - board owners who never snowboarded is $99 - 35=64$.
Step2: Calculate row - totals and column - totals
The number of students who have snowboarded is $35 + 13=48$. The number of students who have never snowboarded is $64+147 = 211$. The total number of students surveyed is $48+211=259$.
The correct two - way table should have the following values:
| Have Snowboarded | Never Snowboarded | Total | |
|---|---|---|---|
| Skateboard | 35 | 64 | 99 |
| No Skateboard | 13 | 147 | 160 |
| Total | 48 | 211 | 259 |
The third table is correct as it has the values 35 (skateboard and have snowboarded), 64 (skateboard and never snowboarded), 13 (no skateboard and have snowboarded), 147 (no skateboard and never snowboarded) and correct row - totals and column - totals.