As long as the set A doesn't contain a 2, x (the range of set A) is always even. Thus, xy is even.
(2) doesn't tell us anything. If the set contains {2,3,5,7,11,13,17,101}, x (the range) is odd and y (the median) is 9 which is odd. So, xy is odd. And of course, we can remove the 2 and then xy will be even.