Financial records, manufacturing processes, political polls, economic data, online activities: all of these produce enormous amounts of data. In many fields, it's not possible to figure out what's going on without using mathematical and statistical tools.
Aside from explaining and analyzing processes and trends, statistics and other mathematical techniques are also used for planning. Supply chains and logistics, interest rates on new loans, and government budgets are all largely determined by number crunchers rather than intuition and gut feelings.
As you would expect, students of pure as well as applied mathematics need to be logical and methodical in their approach to work. Good critical, spatial, and quantitative reasoning skills are also very useful.