Hi! I've been searching the web trying to find out the average GPA's of undergraduates in physics who were accepted to Princeton, Caltech, Chicago, MIT, Cornell, etc... with no luck. Could someone enlighten me as to the approximate tiers of difficulty and the corresponding ~GPA's? On another note, would a GPA around a 3.8 while taking graduate classes and with several publications make it worth applying to some of these top schools? Any help is greatly appreciated. Thanks!