Ideally, no difference in voltage over the various outlets. In reality, perhaps a volt or two. Properly wired, no outlet on a unit as small as an RV (short lengths of wire) should never have a 10% voltage drop across different outlets attached to the same main power source.
Corrosion is the number 1 cause added resistance in a circuit. Corrosion can occur because of many factors, the most common being improperly connected wiring terminals. Not tight enough so arcing occurs when a high current load is turned on... Such as a toaster, electric heater, hair dryer, etc.
I would check connectors in the 120v portion of fuse box and in the bathroom outlet. ALL POWER REMOVED FIRST! If necessary, get a qualified electrician to check the wiring.