I'd say you are about right. Although, I think it's difficult for a 5 string to fall into that range. Larger pickups, bridge, extra tuner, big fat and heavy B string, more wood for the wider neck and frets.
IMHO, for a 4 string Fender type P Bass..........8.5 lbs and under.
I am fortunate to have a Warmoth + Allparts P Bass that weighs 7 lbs 3 oz. It's so light that it feels broken!
Music Man Stingrays are a "bear" with most of them pushing close to 10 lbs.
I took my Stingray and did all that I could to get the weight down. Dropped 10 oz off of it and it still weight 9 lbs 2 oz.