Some schools have more than one administrator, some are administrator's to more than one school, some are district administrator's, Sherlock. Yes, we know you're a product of the dumbed down school system, I already pointed that out in two posts. Ok now you are putting it where it doesn't belong, But as for your assertion if there is more than one, Then the apostrophe goes after the "s" as in "Administrators' offices". Geez, learn your grammar.