Hi Frank.
The "normal" scale is a bit debatable as the bridge position is not necessarily fixed to exactly the middle of the f-holes. Mine for example is a bit forward, ie. shorter.
Then there's all the different sizes of basses 4/4, 7/8, 3/4, 1/4 & 1/8. Obviously the scale lenght is different on all of them.
Finally (the thing I guess You're asking

), as the bass shape and dimensions aren't carved in stone, quite a bit of variation can be observed for the lenght of the neck and where it meets the body. Even a slight difference can make the bass look either "fat" or "slim" if You know what I mean.
Regards
Sam