The science that deals with the collection, classification,
analysis, and interpretation of numerical facts or data, and that, by use of
mathematical theories of probability, impose order and regularity on aggregates
of more or less disparate elements.

**There are 2 parts of definition**

the
collection, classification, analysis, and interpretation of numerical facts or
data

the
use of probability theory to impose order on aggregates of data

In simpler words, statistics deals with summarizing
information about data in a meaningful and relevant way.

Statistics is also using data to predict things that are unknown. We can be 95% confident more people will vote for Candidate A than B.

Statistical analysis is like solving mysteries with data. We start with questions and attempt to answer them with data instead of our intuition. When we assemble enough data we make predictions.

With predictions, there's always a chance that we'll be wrong. Much of statistics is understanding what we know from data we do have, making our best prediction about data we don't have, and clearly understanding the chance that we're wrong and quantifying that

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