It's worth pointing out that men also tend to outnumber women significantly at the far left end of most bell curves. Data appears to show that for many traits, men have higher variability of traits, possibly caused by the differing sexual selection strategies of men and women. (There is much more diversity among mitochondrial DNA than Y-chromosomal DNA, which is just one piece of evidence among many that a smaller number of males produce a disproportionate amount of the offspring.)
The lack of understanding around the implications of normal distributions is such a problem when discussing this topic. Another thing that most people miss is that, if you're zoomed way in on the very end of the right side, things are going to look very different than if you are zoomed out and looking at the entire curve.
I'm not saying women have poor social skills, just that they perhaps have a different set of social skills. Bonding emotionally with someone is important in a family setting. Less so for platonic relationships.
Since we're on the topic of biological determinism, it's worth pointing out that women generally have higher levels of emotional intelligence than men. Estrogen is a hormone for emotional bonding.
And for that matter, a disproportionate amount of clinical psychopaths are in positions of leadership. That probably entails a better explanation for why men are disproportionately in higher levels of management.