Deciphering Cockwork Familiar Skill Points

I am creating a 6th level Alchemist (Tinkerer) and trying to determine my clockwork familiar's skills. Most of them seem straight forward, until I come to stealth.

The monster manual entry gives the clockwork familiar's stealth as +12. If we assume that the creature has no skill ranks in stealth then she would have +2 dex ability modifier, and +8 size modifier (tiny) for a total bonus of +10. However, if we assume she has1 skill rank in stealth, which is treated as a class skill for the clockwork familiar, then she would have +2 dex ability modifier, +1 skill point, +8 size modifier (tiny), +3 class skill bonus for a total bonus of +14. 

Have I missed something in my math? Can someone help me understand where +12 comes from?
Sign In or Register to comment.