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What is the mean of four consecutive odd integers?

(1) The sum is equal to the median.

(2) The range is $6$ and $0$ is contained within the set.

Statement (1) ALONE is sufficient to answer the question, but statement (2) ALONE is not.

Statement (2) ALONE is sufficient to answer the question, but statement (1) ALONE is not.

Statement (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.

EITHER statement ALONE is sufficient to answer the question.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked - more relevant data is required.