What's the difference between mathematical statistics and statistics? What's the difference of mathematical statistics and statistics?
I've read this:

Statistics is the study of the collection, organization, analysis, and
  interpretation of data. It deals with all aspects of this, including
  the planning of data collection in terms of the design of surveys and
  experiments.

And this:

Mathematical statistics is the study of statistics from a mathematical
  standpoint, using probability theory as well as other branches of
  mathematics such as linear algebra and analysis.

So what would be the difference beetween them? I can understand that the processes of collection may not be mathematical, but I guess that organization, analysis and interpretation are, am I missing something?
 A: The boundaries are always very blurry but I would say that mathematical statistics is more focused on the mathematical foundations of statistics, whereas statistics in general is more driven by the data and its analysis.
A: There are three types of statisticians;


*

*those that (prefer to) work with real data,

*those that (prefer to) work with simulated data,

*those that (prefer to) work with the symbol $X$.


math stat types would be (3). Typically, type 
(1) statisticians have some prefix attached to 
make clear the source of the data they work with 
(biostatistics, econometrics, psychometrics,....) 
because these fields have implicit shared 
assumptions about the data they use and some commonly accepted ordering
of the plausibility of these assumptions.  
A: Mathematical statistics concentrates on theorems and proofs and mathematical rigor, like other branches of math. It tends to be studied in math departments, and mathematical statisticians often try to derive new theorems.
"Statistics" includes mathematical statistics, but the other parts of the field tend to concentrate on more practical problems of data analysis and so on. 
A: There is no difference. The science of Statistics as it is taught in academic institutions throughout the world is basically short for "Mathematical Statistics". This is divided into "Applied (mathematical) Statistics" and "Theoretical (mathematical) Statistics". In both cases, Statistics is a subfield of math (or applied math if you will) while all its principles and theorems are derived from pure math. 
"Non-mathematical" statistics, for lack of a better term, would be (for me) something like the percentage of ball possession of a football team after a game, i.e. the act to register and report some real-world statistic(s). 
