Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of numerical data .
The two main statistical methodologies used in data analysis are descriptive statistics, which summarizes data from a sample using indexes such as the mean or standard deviation, and inferential statistics, which draws conclusions from data that are subject to random variation (e.g., observational errors, sampling variation).
"Applied statistics" comprises descriptive statistics and the application of inferential statistics. Theoretical statistics concerns both the logical arguments underlying justification of approaches to statistical inference, as well encompassing mathematical statistics. Mathematical statistics includes not only the manipulation of probability distributions necessary for deriving results related to methods of estimation and inference, but also various aspects of computational statistics and the design of experiments.
vCalc's Statistics library concerns equations that deal with the analysis , organization and interpretation of data.