Just to be clear, I wasn't arguing that it wasn't bigger at the extremes. I was arguing that even relatively close to the median, there are certain abilities which are notably divergent between typical male and female populations - and occupations that allow little room for divergent strategies will tend to be dominated by one group or another.
An interesting minor reference in one of the links is how females who are exceptional in verbal ability - even among females - appear to be able to perhaps be able to use that area of ability to compensate in the SAT-M, whereas males generally don't.
You were clear before — I didn’t mean to suggest otherwise.
The possibility of using language ability to get better scores in (purported) tests of math ability is intriguing.