Dean 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 & 17 & 24 & 5 & 46 \\
\hline Grade 9 & 14 & 18 & 22 & 54 \\
\hline Column totals & 31 & 42 & 27 & 100 \\
\hline
\end{tabular}

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

A. In Grade 8, 31 students liked swimming.
B. In Grade 9, 27 students liked volleyball.
C. In Grade 9, 14 students liked running.
D. In Grade 9, 18 students liked running.



Answer :

Let's carefully examine the data provided in the table to determine which statement is most likely correct.

The table breaks down the favorite sports of students in grades 8 and 9. Here is the data:

| Favorite Sport | Swimming | Running | Volleyball | Row totals |
|----------------|----------|---------|------------|------------|
| Grade 8 | 17 | 24 | 5 | 46 |
| Grade 9 | 14 | 18 | 22 | 54 |
| Column totals | 31 | 42 | 27 | 100 |

We need to check the accuracy of the following statements based on this data:

1. In Grade 8, 31 students liked swimming.
2. In Grade 9, 27 students liked volleyball.
3. In Grade 9, 14 students liked running.
4. In Grade 9, 18 students liked running.

Now, let's verify each statement step by step:

1. In Grade 8, 31 students liked swimming.

According to the table, 17 students in Grade 8 liked swimming. Therefore, the statement is incorrect.

2. In Grade 9, 27 students liked volleyball.

According to the table, 22 students in Grade 9 liked volleyball. Therefore, the statement is incorrect.

3. In Grade 9, 14 students liked running.

According to the table, 18 students in Grade 9 liked running. Therefore, the statement is incorrect.

4. In Grade 9, 18 students liked running.

According to the table, 18 students in Grade 9 liked running. Therefore, the statement is correct.

Based on the data provided in the table, the most likely correct statement is:

In Grade 9, 18 students liked running.