Rand has a very useful out-of-battle ability. When activated he spins into a ball and can roll around the world map. As long as you dont hit anything you continue rolling. If you do hit something like a tree or rock you revert back and may encounter a battle. Once you master the art of rolling it can save you alot of uncessecary battles.
Rand has the most hit points in the game. His attack and defense are also one of the most amazing. The only thing Rand does lack is Wisdom and Speed. Both can be helped though.