Harry wasn't really that average though. He figured out some of the riddles like the golden snitch thing without much help, and his booksmarts aside, his reasoning skills were quite adept. He was no voldemort or dumbledore, but for his age he was pretty skilled. And man could he handle an Expeliarmus spell.
Also, hombre does possess all 3 of those relic things...technically. He's definitely above average.