Stats:
Strength - Megaton - Lucas Simms House
Perception - Republic of Dave - Museum of Dave
Endurance - Deathclaw Sanctuary - Deathclaw Sanctuary Entrance
Charisma - Vault 108 - Cloning Lab
Intelligence - Rivet city - Science Lab
Agility - Greener Pastures Disposal - Office
Luck - Arlington Cemetery North - Arlington House

Skills:
Barter - Evergreen Mills - Market Bazaar
Big Guns - Fort Constantine - CO Quarters
Energy Weapons - Ravenhold
Explosives - WKML Broadcast Station - Sealed Cistern
Lockpick - Bethesda - Bethesda Offices East
Medicine - Vault 101 - Dad's Desk
Melee Weapons - Dunwich Building - Virulent Underchambers
Repair - Aerefu - Evan Kings House
Science - Vault 106 - Living Quarters
Small Guns - National Guard Depot - National Guard Armory
Sneak - Yao Guai Tunnels - Yao Guai Den
Speech - Paradise Falls - Euology's pad
Unarmed - Rockopolis – Head directly west from Casey Smith's Garage, look for tattered banners strung up.