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Probability & Statistics

Probability and statistics is the branch of mathematics that deals with collecting, analyzing, and interpreting data, and with predicting outcomes of random events. From descriptive statistics like mean and standard deviation to inferential methods like hypothesis testing and confidence intervals, this page connects you to every probability and statistics term on Mathwords.

Key Concepts

Addition Rule

The Addition Rule is a probability formula used to find the probability that at least one of two events occurs. It ac...

Sum Rule for Probability

The Addition Rule is a probability formula used to find the probability that at least one of two events occurs. It ac...

Gambling Odds

Odds in gambling is a way of expressing the payoff on a winning bet, stated as a ratio m : n, meaning a bet of n doll...

Odds in Gambling

Odds in gambling is a way of expressing the payoff on a winning bet, stated as a ratio m : n, meaning a bet of n doll...

Scatterplot

A scatterplot is a graph that displays paired data as individual points on a coordinate plane, where each point's pos...

Bernoulli Trials

Bernoulli Trials are a sequence of independent experiments, each with exactly two possible outcomes — "success" or "f...

Boxplot

A boxplot is a data display that uses a box and whiskers to show the five-number summary (minimum, first quartile, me...

Modified Boxplot

A boxplot is a data display that uses a box and whiskers to show the five-number summary (minimum, first quartile, me...

Box and Whisker Plot

A box-and-whisker plot is a visual display of a data set's five-number summary — the minimum, first quartile, median,...

Paired Data

Paired data is a set of data that occurs in ordered pairs, where each value in one data set is linked to a specific v...

Binomial Probability Formula

The Binomial Probability Formula is a formula that calculates the probability of getting exactly k successes in n ind...

Mathematical Model

A mathematical model is an equation or system of equations that represents real-world phenomena, patterns in data, or...

All Probability & Statistics Terms (72)

Frequently Asked Questions

What is the difference between probability and statistics?
Probability predicts the likelihood of future events based on a known model. Statistics uses observed data to draw conclusions, make predictions, or infer properties of a population. Probability reasons from a model to data; statistics reasons from data to a model.
What is AP Statistics about?
AP Statistics covers four major themes: exploring data (graphs, distributions, summary statistics), sampling and experimentation (study design, bias, randomization), probability (random variables, distributions, simulation), and statistical inference (confidence intervals, hypothesis tests).
What are the most important statistics formulas?
Key formulas include: mean (sum of values ÷ count), standard deviation (measuring spread), z-score ((x − μ)/σ), combinations (n! / (r!(n−r)!)), and the normal distribution probability density function.

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