The following GMAT data sufficiency question tests your understanding of the relationship between average (arithmetic mean) and median when given additional constraints.

**Question 6**:

Given $a \gt b \gt c \gt 0$, is the average of $a$, $b$, and $c$ equal to their median ?

- (1) $\dfrac{a}{b} – 1 = 1 – \dfrac{c}{b} $
- (2) $b$ is equal to the average of $a$ and $c$.

- 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 TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- EACH statement ALONE is sufficient.
- Statements (1) and (2) TOGETHER are NOT sufficient.

**Video Explanation**

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