I've been searching (without luck) for the kind of information that was very easy to find when I was applying to undergrad; namely, information such as acceptance rates and median GRE scores of accepted applicants. I'm planning on applying to pure math grad school. Is there some online resource for finding this information?
This may not directly answers you question but I found it useful when applied to grad schools in the past. GradCafe results shows different applications results for institutes. Applicants usually put their GRE scores and GPA along with the decision.
Most importantly, some applicants communicate with their school and write something really useful as a note (like # of application received/accepted/rejected).