This data comes from the Institute of International Education's Open Doors project, and while it's valuable, it still points out the problems with pre-aggregated data. On the site, you'll find good stuff about students by enrollment level (graduate and undergraduate); you'll find good information about enrollment by institution; and you'll find information like this about enrollment by Carnegie Classification. But you can only ask one question of each data set. The result is that this information is intriguing, but not granular enough: For instance, what if I presumed that graduate students would naturally flock to doctoral and research institutions and a) I wanted to test that theory or b)I just wanted to look at undergraduates to see where they went?
Still. have a look, and especially use the year filters to see percent change over long and short periods.