The only thing you MIGHT notice is a slight colour difference between your head and your shaft skin. This is because the head of your penis has been covered by your foreskin your whole life and hasn't been exposed to the wear and tear of the outer world.
"The average circumcised penis" is a difficult term to use, because circumcisions vary in technique. Sometimes they're done, as you were, right under the head and around the frenulum (a very signifcant pleasure centre under the head of the penis), so the skin is still loose.. some are done right directly around the circumference of the penis under the frenulum (like many at birth), and some, unfortunately, are done by removing all or portions of the frenulum.... not to worry, though, this is usually done by an untrained person, such as a tribal or inexperienced religious leader or something of the like.
In any case, it sounds like your doc knew what he was doing. You'll be fine!