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.