Would it be a good idea to take online Master's program in Statistics?
Some possible pros of doing the master's on campus: doing the program on campus could lead to a higher chance of actually finishing the program.  It's nice to have professors, classmates, advisors, administrators to talk to in person, when you (inevitably) experience a rough patch in the program - it could make the difference between finishing and not finishing.

Some possible pros of doing the master's online: you can learn at your own pace, to some extent, without peer pressure from classmates, and this might fit your learning style better.  Also, I imagine the online programs are much cheaper.

So ultimately, you have to decide whether you'll have the discipline to start and finish an online program.  As for job searching in stats, your skills probably matter way more than whether you did a degree on-campus or online, unlike, say, going for an MBA or JD, where prestige matters a great deal.  Also, you have other verifiable credentials to go after, with your stats skills set - such as actuarial exams.   

Edit: Just saw your other questions and it seems that you are also considering PhD programs.  If so, you'll need letters of recommendation from professors, but for this to happen, you'll need to do the program on-campus.