GMAT Data Sufficiency Question 06: Median and Mean

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

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.