I'm sure you can relate to others, you have at least one thing in common: you all are in the same dorm, in the same grad program or at least in grad school. See, there you go

I went to a predominantly white undergrad but it was easy for me to get to know others b/c I honestly had no choice. They were everywhere! In my dorm, my classes, on the diag. You just have to remember that there is always school in common with these folks. And, you'd be surprised at all the other things you have in common once you get to talking to them. Try not to go around thinking that they are of another race and just try to think of them as your fellow students who probably want to get to know you too. I think I got used to the idea of being around "others" because I had 4 years of undergrad to adjust.
I just turned 24 the other day and I started my grad program when I was 22. A lot of the students are doctors, nurses, pharmacists and professionals and it was veeeeeeeeery intimidating at first. All I had was a year of professional experience (which wasn't very professional) and wasn't sure if I belonged. My mom had to tell me that they weren't any smarter or better than me b/c they were in the same classes I was in LOL! Yeah, they know more about the real world than I probably do but everyone does things at different times. You never know, they might even be feeling old in a class with 20-something's. Don't let your age intimidate you, you should be happy that you are able to start grad school so young and get it out the way. Just because you're younger doesn't mean you don't have anything valuable to add to class and life discussions.