Depends. The most popular engineered wood for furniture is MDF, which from the name ("medium density") you can imagine is not too dense and not too light.
The solid wood choices I thought were really beautiful for furniture (for the aesthetics and tactile qualities) are teak, oak, mahogany, and american walnut, all of which are rather dense (e.g. Asian teak is extremely heavy, while walnut is just as dense as MDF).