Or, the easy way is to start with the real ship so if, for example, the actual 34m vessel you're looking at weighs (displacement - often shown on the plans) 2000 tonnes (2,000,000 kilos), then the weight at 1/50 would be approximately 2,000,000 divided by 50x50x50 which comes to 16 kilos*.
In a similar manner at 1/16 it would weigh 2,000,000 divided by 16x16x16 which comes to just about 488 kilos or just about half a tonne.
I've found it to give a good starting point, especially if you're either building very large or very small; certainly enough to tell you if you can either move it or if it's going to float
Just one thing to note is that the displacement you're looking for is with all the stuff like fuel/cargo etc. on board so, the displacement when it goes to sea and not just for the bare boat.
Good Luck
* Not far away from Tug!