Yes, varied is a Scrabble word!

Adjective

1. Characterized by variety

2. Widely different

3. Broken away from sameness or identity or duplication

Verb

1. Become different in some particular way, without permanently losing one's or its former characteristics or essence

2. Be at variance with; be out of line with

3. Be subject to change in accordance with a variable

4. Make something more diverse and varied