Depends on who you ask. I am taking formal statistics training at the moment and this is my observation…
I see statistics defined as either the science of uncertainty or definition is extracting information from data. I found that if the person comes from a mathematical background they tend to gravitate towards the science of uncertainty. If they have a engineering background then extracting information from data comes up more.
The Webster online dictionary gives this definition.
a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data
a collection of quantitative data
“Statistics.” Merriam-Webster.com. Merriam-Webster, n.d. Web. 26 Jan. 2017.
I am not saying any of these are right or wrong, but I did find it interesting nonetheless. I personally think a rose by any other name would smell just as sweet 😉