The question isn't mathematical, the question is what reproductive advantage is there to people who fall within the average of the IQ distribution. Not is there an advantage, but what specifically is the advantage.
Ah, here my IQ is so high I could identify your mistake. Are you ready for it?
People who fall as you say within the average of the IQ distribution do not necessarily make a population apart from those who fall outside. They may reproduce with people outside the range. Their offspring may spread across the spectrum. Many people marry outside their category just because criteria for selecting a reproduction partner are themselves extremely varied. Many men may choose a dumb woman and many women may elect to appear dumb or indeed just act dumb because of their emotional or hormonal state.
There seems to be no reason to assume an advantage to being in the average, unlike for example the tendency to be gregarious if you're not a predator. Intelligence is not a trait which is easily identifiable. Many intelligent people will adopt a low profile if they feel it's in their interest, for whatever reason, including that of avoiding being conspicuously more intelligent than their neighbour, especially if it's a Nazi sympathiser.
People may not want to advertise their intelligence except perhaps in modern times, where the state may come to find useful to select an elite of intelligent people, perhaps for example through higher education, and where finding a job and a better pay can sometimes depends on how smart your are. Yet, even there, it may well be that many intelligent people will just prefer to stay out of that elite. Intelligent people presumably have emotions and emotions may be more predictive of what people do in life. Unless IQ tests are biased against emotional people, as I think they are.
And it's not a sign of intelligence to insist on wearing your better intelligence on your sleeve, including in business.
On the other side, many idiots may be intelligent enough to make sure they appear more intelligent than they are. I'm not even convinced we're too good at judging intelligence in others. There are too many social, cultural, ethnic, gender-based prejudices to skew your judgement.
You would have a point if intelligence was somehow correlated with any number of pathologies, deficiencies, inadaptations etc., and then only if those had an effect on the ability to reproduce. Many famously bright people were also epileptic, for example. Well, apparently they still managed to do well enough to become famous to begin with, like Julius Caesar for instance.
I think the mistake is to conceive of the population in the average range as a kind of huddled mass of people living and reproducing together, and people on the outside of the range as isolated and maladjusted individuals with a red mark on their forehead saying "Loonie, Beware". The reality seems to be that there are all sort of reproductive strategies, and more importantly, that those strategies trump any rational strategy to select your partner on the basis mainly similarity of intelligence. This in my view prevent each group from constituting a population appart from the rest.
Well, I'm running out of arguments here. I hope this will be enough to convince you.
EB