Hi, I'm a 2nd year math major (stats minor) interested in applying to Statistics grad schools down the line. The problem I'm having is in choosing how to balance math classes vs. statistics classes and schoolwork vs. research (and what types of research?)
In terms of classes, I'm probably going to take an introduction to Measure Theory next quarter. But how useful would classes like Topology, Complex Analysis, Set Theory, Grad level Measure Theory, and Grad level Probability be? The alternatives would probably be taking a couple extra statistics electives.
In terms of Research, how useful would it be to do work in Applied Math? Or doing some statistical analysis for researchers in a completely separate field? Or is it much more useful to do straight statistical research?
Lastly, what's a typical undergrad GPA for a top 10 or top 20 program? Is there much of a difference between the two levels?
(apologies if any of these questions are naive or asked too frequently. It seems like it's hard to find concrete information on what grad schools expect, and instead people always say just to "do what you're interested in.")