Statistics is defined as study of the collection, analysis, interpretation, presentation, and organization of data. Statistics have so many definitions when applying it to a scientific, industrial, or social problem.
Some are the popular definitions:
“Classified facts representing the conditions of a people in a state, especially the facts that can be stated in numbers or any other tabular or classified arrangement” by Merriam-Webster dictionary".
“Numerical statements of facts in any department of inquiry placed in relation to each other” as per Statistician Sir Arthur Lyon Bowley.
Statistics as branch of mathematics pertains to the
collection, analysis, interpretation and presentation of data. Some scientist considers
statistics to be a distinct mathematical science rather than a branch of
mathematics. And some
considers statistics is concerned with the use of data. Mathematical statistics
is the application mathematics concept in statistics. Use of Mathematical
techniques to collection and analysis of data includes mathematical analysis, linear algebra and differential equations.
