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I completed the game with Patch 2 version and I couldn't unlock Statistician achievement even when I reached 100 (Agility, Charm, Fitness, Perception, Smarts) without boosts from magic items. In comparison Skillful achievement did proc without any problems with 5 skills boosted to 100 by magic items. Also did not have any problems with other achievements (not counting Bad to the Bone & Perfect Prowler cuz I didn't meet the requirements, and probably never will).
I had the same problem. I got almost the same 5 stats up to 100 that you did, minus Charm and plus Magic, and the achievement is still locked. Yet it says that 4/1% of people have gotten it so it should be gettable.

Edit: Never mind. it eventually popped up for me. It seems like this achievement is delayed in popping up. It pops up, but later than it should.
Post edited September 08, 2018 by cbingham
Well, I finished the game and it did not pop up for me... Not that I care that much or anything. They could look into it though.
We fixed this in Patch 3. The problem was Fitness, which for arcane programming and design reasons was counted as 10 points lower than the value we showed, so it was impossible to get it to 100.

Also, note that Skills are not Stats. To get Statistician, you need five of Fitness, Agility, Smarts, Magic, Moxie, Charm, Perception, and Luck... but Fitness didn't count in patch 2. It counts now.

The Skillful achievement requires any five of Stealth, Climbing, Throwing, Combat, Defense, Tool Use, and Gaming.