Re. Post #3819 Do you have the Scope Probe's ground lead connected to exactly the same Ground reference, and the Probes Tip connected to exactly the same point for each measurement condition (X1 vs X10)? Exactly, meaning you change the Probe from x1 to x10, and the the Scope setting from X1 to X10, without moving the Probe connections at all.
If this is the case, then please show us a schematic of the AC source, transformer (with winging details, etc), and the Bridge (I assume that this is a bridge rectifier) with details (diodes, etc), and what is connected to the Bridge. Please this has to a schematic with details, NOT a block diagram.
This has to be simple, so without details the problem won't necessarily be obvious to us. Oh - did I say Obvious (NFW). I can't really imagine this being a defect in your scope, although of course it could be.
Edit - Re. Post #3823: If you had the Bridge Rectifier DC negative (-) Output connected to chassis/earth Ground (same as O'Scope AC cord's Ground) you probably wouldn't have even had this issue. Anyway, you have a very good answer to the problem from 'hexreader' in the following reply's. Please take his advice and watch these videos, you will gain a lot of good insight for accurate measurements and safety.