<p>People who haven’t seen hundreds of IQ scores probably don’t have any idea what it means for a population to have an average (or median, or “typical”) IQ of 140 to 150, because they don’t know how rare or reliable such an IQ is or what it measures at that range. I certainly don’t. To discuss the OP’s question one would need to use some more discussable proxy for IQ.</p>
<p>I can tell you that the grad students at Harvard (School of Arts and Sciences, not Education School or Divinity School or some of the professional schools) are distinctly smarter on average than the undergrads, that undergrad intelligence varies by major, and that the hard-science faculty are distinctly smarter (although partly dulled by greater age) as a population than the grad students.</p>