Are you claiming that Ashkenazic Jews do not have an average IQ of 112? It is common knowledge that they do. They have won one fifth of Nobel Prizes.
In The Jews among the Greeks and Romans: a Diasporan Source Book Margaret H. Williams demonstrated that during the Roman Empire Jews were not considered to be of superior intelligence. The superiority of the Ashkenazim evolved quickly. For about one thousand years Jews in Europe were forbidden to own land. Most trades were closed to them. However, money lending was open to them because of Christian restrictions against usury. Success in finance and business requires superior intelligence. Also, the periodic programs favored Jews who were rich and resourceful enough to survive.