There are many theories that suggest that if we primarily use the left side of our brains more than the right side we will have certain qualities and vice versa. Some studies suggest that people who utilize the left side of their brains are generally more logical, rational, analytical, and objective. It states that people who utilize the right side of their brains are generally more subjective, holistic, and intuitive. It is also thought that some people may actually use both sides of their brain equally and may possess a broad range of talents and strengths.
I have attached a link below that discusses this theory.
As far as what little I know those who are left handed (left brained) tend to be more conscious of their time, practical, and good at math. While those who are right handed ( right brained) tend go with the flow, do better in classes that are more abstract like English and Art.