An actuary is a business professional who deals with the financial impact of risk and uncertainty. Actuaries apply mathematical and statistical theories to solve real business problems. They can assemble and analyze data to estimate the probability and likely cost of an event such as death, sickness, injury, disability, loss of property, or other events. They also address financial questions involving the way a company should invest its resources to maximize its return on investments.
The mathematics required for actuaries includes but is not limited to College Algebra, Trigonometry, Calculus I and II, Linear Algebra, Probability and Mathematical Statistics, Applied Statistics, Actuarial Mathematics, Optional courses in numerical analysis, some training in operations research, substantial training in computer science
In order to find the average income of an actuary, please use this link.
For more information about actuaries, the US Bureau of Labor Statistics breaks down the job of an actuary into multiple sections to help better understand the requirements of becoming an actuary.