The field of Statistics is quite interdisciplinary because statistical methodology is used in all areas where research studies are carried out, data are collected, and statistical analyses are done to make comparisons, predictions, and forecasts.
The study of Statistics can be combined with business, data science, economics, finance, genomics, health studies, insurance, pharmaceutical science, etc.
A statistician's work can vary from a focus on application areas (requiring knowledge of subject areas), to theoretical development of methodology (requiring advanced mathematics), and the development of statistical software (requiring skills in scientific programming).
Data science focuses on data visualization, data management, data analytics and large databases; data scientists should understand variation and uncertainty, representativeness, efficient data collection, meaningful data reduction and summarization, and analytic tools from different sciences.
The American Statistical Association (ASA) has a good reference page called This is Statistics.