Team Average Score Analysis

Very Hard Data Sufficiency Analyzing Information

A high school mathematics team is analyzing the average test scores of its members. Let the average score of the team be denoted as $A$, and the total number of members be denoted as $N$. The average score can be calculated using the formula:

$A = \f\frac{T}{N}$,

where $T$ is the total score of all members combined.

Question: What is the relationship between the average score of the team $A$ and the total number of members $N$?

Statement (1): The total score of the team $T$ is 600.

Statement (2): The average score of the team $A$ is 75.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

Hint

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