I was actually too lazy to study for my GRE, so I think I got like in the 600s on the math section (it had been a long time since I had studied any of that stuff); I realized while taking it that this was a stupid mistake and I was perfectly capable of answering everything, but the GRE cost too much for me to want to take it a second time. Oh well.

Statistics does not seem to be broken out in the latest GRE scores I found: https://www.ets.org/s/gre/pdf/gre_guide.pdf I think statistics is almost always part of the math department.

My guess is that there are a lot of grad schools (consider law schools, the standard advice is to not bother unless you can make the top 10, yet there are scores if not hundreds of active law schools), and few actually intend to do a PhD.