The evidence presented is IQ scores from 1932. Given historical gender biases this not persuasive. Culling scientific evidence from conservative think tank Op-Eds is probably not a best practice...
Maybe most notable is a 1995 paper in Science http://www.sciencemag.org/content/269/5220/41 but it is both behind a paywall and completely devoid of figures! You get the main idea from the abstract, though: Except in tests of reading comprehension, perceptual speed, and associative memory, males typically outnumber females substantially among high-scoring individuals.
While there may be gender differences among high/low scoring individuals, I resent that that this is treated as a scientific fact when there are limited studies with contradictory findings.
http://m.psychologytoday.com/blog/the-how-and-why-sex-differ...
I'd be interested to read any studies with alternative outcomes. This seems like a well-promulgated meme, regardless of its factuality or not...