Nobody can tell you your chances for graduate school, as that depends on who else is applying when you do, as well as your other qualifications. Research isn't as important for an MS program, especially if you plan to work as a professional statistician after your MS instead of continuing on to a PhD (although most statisticians work in support of research, so it may be more important for that job).
Is your statistics GPA higher than your cumulative? That may help you, too.
A 2.77 is quite low. It may get you into some mid-tier MS programs, but top statistics MS degrees will be more competitive and prefer at least a 3.0. You can still apply, but prepare a viable Plan B. Statistics majors can likely get a job with a bachelor's in statistics (maybe not as a statistician per se, but in support roles), so I would attempt to get a job too and work for a few years, then return for a master's.