Please refer back to the chart I posted showing Muslim majority nations and comparing their average years of education with their birth rates. You can see the correlation easily.
You can also look at this chart here, with a few examples listed
SOURCE
Country or area and average years of education for women
Afghanistan 5
Bangladesh 8
Iraq 8
Nigeria 8
Pakistan 6
Jordan 13
Indonesia 13
Egypt 11
India 10
Libya 17
USA 17
France 16
UK 17
Netherlands 17
It shows the average years of education for education for nations around the world and even differentiates between men and women.
As a whole Muslim nations fall far behind the US and Europe when it comes to education. This can be seen in the illiteracy rates of those countries also which has already been posted.
This is the number one factor in birth rates.
The countries mentioned by Naidamar (Indonesia, Pakistan, India and Bangladesh) are a mixed bag when it comes to education. Indonesia and India both do decently, but Pakistan and Bangladesh (with combined populations of close to 350,000,000) are woefully behind when it comes to years of education, with their average citizen getting about half of what the average American or European gets. With their population sizes they, along with other countries, bring the education numbers for Muslims as a whole around the world down considerably.
The fact that they had women leaders has absolutely nothing to do with these facts and is not an indicator of the level of education of women in those countries compared to the US and Europe.
If you truly believe that the level of education received in countries such as Bangladesh, Pakistan or Nigeria which all have huge Muslim populations is anything near that of Europe or the US then you are mistaken.