Yes, VARIED is a Scrabble word!

Letter values in Scrabble US: V 4, A 1, R 1, I 1, E 1, D 2.

Is it a valid word?

VARIED is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

become different in some particular way, without permanently losing one's or its former characteristics or essence
be at variance with; be out of line with
be subject to change in accordance with a variable
make something more diverse and varied

Also: wide-ranging.