We don't need some magical list of figures to know the general distribution.
We have descriptions, from many sources, even before Herodotus, of what this or that country's people looked like. We also have actual depictions of populations in the various hellenistic, then Roman and Byzantine provinces in mosaics and other painted scenes.
Feel free to link to some relevant data or source if you have something. As far as I'm aware, historical data on skin color demographics are extremely scanty. Even in the case of major historical figures like Cleopatra, we just don't know for sure.
There is no historical consensus on Cleopatra's skin color. Plenty of people have their own favorite speculations about it, but there's no hard evidence.
