Deanna collected data on the favorite sports of the students in 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 :

Based on the provided data, let's evaluate each statement one by one to determine which is most likely correct:

1. In Grade 8, 18 students liked swimming.
- According to the table, Grade 8 had:
- 14 students for Swimming.
- 18 students for Running.
- 22 students for Volleyball.
- The statement claims 18 students liked swimming, but the table shows 18 students liked running, not swimming. Thus, this statement is false.

2. In Grade 9, 31 students liked swimming.
- According to the table, Grade 9 had:
- 17 students for Swimming.
- 24 students for Running.
- 5 students for Volleyball.
- The statement claims 31 students liked swimming, but the table shows only 17 students for this sport. Thus, this statement is false.

3. In Grade 8, 22 students liked volleyball.
- According to the table, Grade 8 had:
- 14 students for Swimming.
- 18 students for Running.
- 22 students for Volleyball.
- The statement claims 22 students liked volleyball, and the table confirms this exact number. Thus, this statement is true.

4. In Grade 9, 27 students liked volleyball.
- According to the table, Grade 9 had:
- 17 students for Swimming.
- 24 students for Running.
- 5 students for Volleyball.
- The statement claims 27 students liked volleyball, but the table shows only 5 students for this sport. Thus, this statement is false.

After evaluating all statements, we can conclude that:

The correct statement is: In Grade 8, 22 students liked volleyball.