\(a, b,\) and \(c\) are integers in the set \(\{a, b, c, 51,85,72\}.\) Is the median of the set greater than \(70?\)

[Vincen]

\(a, b,\) and \(c\) are integers in the set \(\{a, b, c, 51,85,72\}.\) Is the median of the set greater than \(70?\)

(1) \(b>c>69\)
(2) \(a<c<71\)

Answer: A

Source: Manhattan GMAT