You also get way more experience towards sneak skill from actually making sneak attacks. Sneaking around doesn't increase it that much.
With a dagger or melee weapon, generally you're going to get one sneak attack in before being seen. With archery, you can get several, often killing an enemy entirely with sneak attacks before spotted. It's also very easy to get sneak attacks with a bow, you don't even really have to spend much time or effort actually sneaking. It's often as simple as going into the sneaking position before shooting.
Not a major problem, although a little counter intuitive, but I figure this'd be useful information for anyone considering stealth characters.

