A normal mood to me would be being happy when you do something you like, or feeling disappointed when something goes wrong, not feeling like you're worthless for a minor mistake, not feeling like crying and very upset because you enjoyed yourself for a few moments, not suicidal when tranquil.
That sort of normal. The range of normal I have is fairly broad but I know my moods don't fit into any kind of normal. They're natural and they're kinda usual for me, but even I, ignoring all other humans and their feelings, consider my moods not normal for me personally. They worry me.