It is not meant to refer to perfect things, moral ideals nor to statistical averages but rather to stress certain elements common to most cases of the given phenomenon.
Weber wrote: "An ideal type is formed by the one-sided accentuation of one or more points of view and by the synthesis of a great many diffuse, discrete, more or less present and occasionally absent concrete individual phenomena, which are arranged according to those onesidedly emphasized viewpoints into a unified analytical construct..."[2] Therefore, ideal types are a form of perfect representation.
Weber described four "ideal types" of behavior: zweckrational (goal-rationality), wertrational (value-rationality), affektual (emotional-rationality), and traditional (custom, unconscious habit).
Homo economicus as presupposed by Neoclassicals is an idealized, abstract creature that can be characterized by an intention to exchange and whose only task is to take economic decisions.
Weber offers an excellent description and a user's guide to the technique of abstraction and idealization that also directly applies to the conceptualizing strategy of mainstream economics that is on a completely different track with its law-seeking efforts.