I'm currently trying to find out if the (very roughly paraphrased, possibly exaggerated) statistic that '1% of graduate students in mathematics go on to become a professor' varies according to the undergraduate institution those undergraduates came from.
One first part of this investigation is to find out what proportions of graduate students arrive from which universities (as in, how much different universities contribute towards graduate numbers out their undergraduate pool).
Where might I find such statistics? Would I be able to find statistics answering my initial question directly?