Deanna collected data on the favorite sports of the students of two grades. The data is displayed in the table.

\begin{tabular}{|c|l|l|l|l|}
\hline
\multicolumn{5}{|c|}{Favorite Sport} \\
\hline
& Swimming & Running & Volleyball & Row totals \\
\hline
Grade 8 & 14 & 18 & 22 & 54 \\
\hline
Grade 9 & 17 & 24 & 5 & 46 \\
\hline
Column totals & 31 & 42 & 27 & 100 \\
\hline
\end{tabular}

Based on the data, which statement is most likely correct?

A. In Grade 8, 18 students liked swimming.

B. In Grade 9, 31 students liked swimming.

C. In Grade 8, 22 students liked volleyball.

D. In Grade 9, 27 students liked volleyball.



Answer :

Let's analyze each statement based on the provided data.

1. In Grade 8, 18 students liked swimming.
- The table shows that in Grade 8, 14 students liked swimming.
- Therefore, this statement is incorrect.

2. In Grade 9, 31 students liked swimming.
- The table shows that in Grade 9, 17 students liked swimming.
- Therefore, this statement is incorrect.

3. In Grade 8, 22 students liked volleyball.
- According to the table, in Grade 8, 22 students indeed liked volleyball.
- This statement is correct.

4. In Grade 9, 27 students liked volleyball.
- The data in the table shows that in Grade 9, 5 students liked volleyball.
- Therefore, this statement is incorrect.

Given our analysis of the data, the most likely correct statement is:
- In Grade 8, 22 students liked volleyball.

This matches the data provided exactly.