Using your method, the average stat array is ~16, ~14, ~13, ~12, ~10, ~8. That's a normal PC with an aggregate modifier of +6.
@Dannyalcatraz 's array of 15, 15, 13, 11, 8, 6 is certianly in-line with the above array. However, due to the frequency of odd results, it produces a character that is...