Explanation

Statement (1) The integers must be the four consecutive odd integers centered around 250: 247, 249, 251, and 253.
Statement (1) alone is sufficient.
The answer is A or D.
Statement (2) The median must also be 250. We can also conclude that the four numbers are distributed evenly around 250; however, we cannot determine their exact values. This statement is insufficient.
**The correct option is A. **