I want to store a few values in the form of high scores. But since I'm not going to be storing more than 5 values, using SQLite doesn't seem appropriate. Another option I was considering was a flat file, but I'm not sure how to go about that...
See here for your Data Storage options. I suppose that in your case the easiest will be to use SharedPreferences.
You could also use Internal Storage to save data in a file that is private to your application. I wouldn't recommend to use External Storage for storing high scores.