Colors of the iOS7 App Store
blog.brandisty.com
blog.brandisty.com
If you wrote a script to fetch the icons and do the subsequent analysis, it should be trivial to modify it to fetch a few hundred icons in each category instead, which should yield more accurate results. You may find out, for example, that a few colors are just as equally represented and that there is no real "dominant" color for a category.
But if you fetched the icons by hand, this would be problematic...