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?

Explanation:

Step1: Analyze the number of students who own a skateboard and never snowboarded

We know that the total number of students who own a skateboard is \(99\). The number of students who own a skateboard and have snowboarded is \(35\). So the number of students who own a skateboard and never snowboarded is \(99 - 35=64\).

Step2: Analyze the total number of students who have snowboarded

The number of students who have snowboarded is the sum of those who own a skateboard and have snowboarded (\(35\)) and those who do not own a skateboard and have snowboarded (\(13\)), so \(35 + 13=48\).

Step3: Analyze the total number of students who do not own a skateboard

The number of students who do not own a skateboard is the sum of those who do not own a skateboard and have snowboarded (\(13\)) and those who do not own a skateboard and never snowboarded (\(147\)), so \(13+147 = 160\).

Answer:

The third two - way table (the one with "Skateboard" row having \(35\) (Have Snowboarded), \(64\) (Never Snowboarded), \(99\) (Total); "No Skateboard" row having \(13\) (Have Snowboarded), \(147\) (Never Snowboarded), \(160\) (Total)) is correct.