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# Statistics

Statistics is the study of the collection, organization, analysis, interpretation and presentation of data. Statistics looks at all aspects of data. Statistics is mostly application based due to its numerical roots. It is usually considered a distinct mathematical science rather than a branch of mathematics. People who study statistics are called statisticians.

Statisticians will improve data quality by developing specific experiment designs and survey samples. Statistics provides tools for both predictions and forecasting - the most important use of data and statistical models. It is applicable to a wide variety of academic disciplines. The methods can summarize a collection of data. It is useful in communicating the results of experiments and research. This method is called descriptive statistics.

Statistics is closely related to probability theory. Probability starts from the given parameters of a total population to deduce probabilities that pertain to samples.  Statistical inference moves in the opposite direction; it inductively infers from samples to the parameter of a total population.

Common concepts include probability distributions, density functions, z-scores, t-tests, regression analysis, hypothesis testing, ANOVA analysis, etc.