I would expect the third digit after the decimal to change from bit and electrical noise. The bit resolution with the input set up for +/- 5V will be 0.15 mV, so the bit noise is in the 4th place after the decimal (assuming you're not gaining in software by 10 or more). Chances are you're seeing electrical noise.
Multimeters have some time averaging in them that will eliminate what you're seeing through the 9205.
It's certainly worth checking over your wiring, perhaps verifying with a battery, and looking for ground loops (evil things!). You've not mentioned behavior that would lead me to think you have a wiring problem. (A lack of understanding, yes, but wiring problem no.)