Probability and Statistics

Statistics is a field of knowledge that enables an investigator to derive and evaluate conclusions about a population from sample data. In other words, statistics allow us to make generalizations about a large group based on what we find in a smaller group.

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Statistics is used in almost every field of research: the discovery of the Higgs particle, social sciences, climate research.

Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data.

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Probability is introduced by Math Goodies. Learn probability at your own pace.

Probability is the measure of the likeliness that an event will occur. Probability is quantified as a number between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty).

What is probability? Describes how to interpret probability. Shows how to compute probability. Includes sample problems with solutions plus free, video lesson.

Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics.

Probability and statistics are two related but separate academic disciplines. Statistical analysis often uses probability distributions, and the two topics are often studied together.