Strength - Megaton - Lucas Simms' house. On the desk in the bedroom (the door to your immediate left at the top of stairs) on the second floor. His house is directly to the right when you enter Megaton. Collect this item before blowing up Megaton or you will not be able to get it!
Perception - Republic of Dave - In the Museum of Dave, on a bookshelf to the right of the room.
Endurance - Deathclaw Sanctuary - Deathclaw Sanctuary entrance, on a small platform next to the rotting brahmin corpse.
Charisma - Vault 108 - Cloning Lab on top of a table in a large room with four beds and a copy of Lying, Congressional Style.
Intelligence - Rivet City - Science Lab. Downstairs on one of the tables in the center of the lab. The Science Lab can be reached through the Midship Deck and the Upper Deck.
Agility - Greener Pastures Disposal - Office.
Luck - Arlington Cemetery North - In the Arlington House on a hill near the center of the cemetery. It is on a shelf in the basement.
Barter - Evergreen Mills - Market Bazaar - In a dark cave-nook, in the corner of the room to the right of Smiling Jack. Jump over the work bench, it's on the right-most shelves.
Big Guns - Fort Constantine - CO Quarters (little bungalow) in the basement. It is in an open safe along with some caps, and the ICBM launchcode.
Energy Weapons - Raven Rock - On the right desk in Colonel Autumn's bedroom: after you pass the huge door from section 2B to 2C, when two Enclave soldiers come out of the right door, take the left one. Be sure to grab this before you leave the Enclave base, as you cannot return for it.
Explosives - WKML Broadcast Station - Sealed Cistern, the sewer (manhole cover) behind the station. It is tucked into the rocks.
Lockpick - Bethesda Ruins - Bethesda Offices East on a desk with an active lamp.
Medicine - Vault 101 - Dad's medical desk. It can be obtained before you take your G.O.A.T., during your escape from the vault or during your brief (optional) return to Vault 101. If taken this way, it is inside the clinic where you speak to Amata.
Melee Weapons - Dunwich Building - Virulent Underchambers, in the center of a room near the exit to Dunwich Building.
Repair - Arefu - Evan King's House (requires 50 Lockpick, no karma cost). As soon as you enter, look to your left. It is on the white table.
Science - Vault 106 - Living Quarters, on a shelf, in the east most room. As you enter the Living Quarters (uppermost floor) from the Vault Entrance, go east through the farther door and follow the passageway.
Small Guns - National Guard Depot - National Guard Armory, sitting on a shelf in the sealed storage room in the basement. The switch for the armory is found on the 3rd floor that can only be reached by going through the Depot Training Wing and Depot Offices.
Sneak - Yao Guai Tunnels - Yao Guai Den, on top of a metal box north of the big pool of water.
Speech - Paradise Falls - Eulogy's Pad, on the table next to the terminal.
Unarmed - Rockopolis - Due west of Smith Casey's Garage and due north of Girdershade. The entrance (a large boulder) is below a party banner. The bobblehead is next to Argyle's body.
The 'yes, I play with dolls' achievement is unlocked for collecting 10.
The 'Vault-Tec C.E.O.' achievement is unlocked for collecting all twenty.