A data scientist examines which questions need answering and where to find the related data. They have business acumen and analytical skills as well as the ability to mine, clean, and present data. Businesses use data scientists to source, manage, and analyze large amounts of unstructured data.
The mathematics required for data science includes but is not limited to Arithmetic, Linear Algebra, Geometry, Calculus, Probability, and Statistics.
In order to find the average income of a data scientist, please use this link.
For more information about data science, the US Bureau of Labor Statistics breaks down the job of a data scientist into multiple sections to help better understand the requirements of becoming a data scientist.