To determine the correct two-way table that displays the given data from Will's survey, let's break down the information step-by-step and fill in the respective cells:
1. There are 35 students who own a skateboard and have snowboarded.
2. There are 13 students who have snowboarded but do not own a skateboard.
3. There are 147 students who have never snowboarded and do not own a skateboard.
4. A total of 99 students who own a skateboard.
---
Using this information, we can fill in the table:
### Skateboard Owners
- Students who have snowboarded: 35
- Students who have never snowboarded: [tex]\(99 - 35 = 64\)[/tex]
### Non-Skateboard Owners
- Students who have snowboarded: 13
- Students who have never snowboarded: 147
### Totals
- Total students who have snowboarded: [tex]\(35 + 13 = 48\)[/tex]
- Total students who have never snowboarded: [tex]\(64 + 147 = 211\)[/tex]
- Total students surveyed: [tex]\(99 + 160 = 259\)[/tex]
---
Now let's compile this information into the correct two-way table:
[tex]\[
\begin{tabular}{|r|c|c|c|}
\hline
& \begin{tabular}{c}
Have \\
Snowboarded
\end{tabular}
& \begin{tabular}{c}
Never \\
Snowboarded
\end{tabular}
& Total \\
\hline
Skateboard & 35 & 64 & 99 \\
\hline
No & 13 & 147 & 160 \\
Skateboard & & & \\
\hline
Total & 48 & 211 & 259 \\
\hline
\end{tabular}
\][/tex]
The correct table from the given options is:
\begin{tabular}{|r|c|c|c|}
\hline
& \begin{tabular}{c}
Have \\
Snowboarded
\end{tabular}
& \begin{tabular}{c}
Never \\
Snowboarded
\end{tabular}
& Total \\
\hline
Skateboard & 35 & 64 & 99 \\
\hline
No & 13 & 147 & 160 \\
\hline
\end{tabular}
This table aligns with the data provided and correctly summarizes the survey results.
