Mathematics vs Statistics
There may be some who would baulk at the mere idea of differentiating between mathematics and statistics as they feel that statistics is just a special branch of mathematics that has been developed to tackle with practical problems in real life situations. Though most of the concepts and formulae used in statistics are derived from the vast knowledge base of mathematics, it is treated as separate and independent branch of math that has many applications. In fact, it is one of those branches of mathematics that are collectively referred to as applied mathematics. Let us take a closer look.
Mathematics
Mathematics is a basic subject that is taught from elementary levels in schools. Initially it deals in numbers and basic operations are taught to kids so as to be able to deal with real life situations such as counting, addition, subtraction, multiplication, and division. Later in depth knowledge of the subject is given to students, which introduces algebra, geometry, calculus, and finally statistics. Mathematics is an academic discipline that allows one to understand the concepts of quantity and structures. There are many who feel that math is all about seeking about patterns whether found in numbers, science, space, computers, designs, architecture, and so on. Logical reasoning and application of theorems allows a student of math to find relations and to reason with the ability to authenticate their assumptions.
Statistics
If you look at colleges and universities, they seem to have two separate departments of mathematics and applied mathematics, and this is where differences between mathematics and statistics become easy to comprehend. Applied mathematics is widely used in research and has industrial applications. Statistics is that branch of mathematics that deals in probability, graphical representation of mathematical data, and interpretation of uncertain observation that is not possible with formulae and principles of mathematics, and so on.
Statistics is mainly concerned with collection, analysis, explanation, and presentation of data. It also helps in forecasting and predicting results based upon insufficient data. Statistics finds applications in a wide variety of fields such as social sciences, governmental departments, businesses, investment practices, and stock markets besides helping those involved in betting. Statistics can improve the quality of any data and make interpretations from it easy.
What is the difference between Mathematics and Statistics? • Mathematics is an academic subject whereas statistics is a part of applied mathematics • Mathematics deals with numbers, patterns and their relationships whereas statistics is concerned with systematic representation and analysis of data • Mathematical concepts are freely used in statistics • Mathematics form the basis of our understanding of quantity and measurement whereas statistics makes understanding of data easy and • Both mathematics and statistics find wide usage in different fields

James Jan says
Very well explained with very simple and practical examples.