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Moment

Explore Moment on MathWorld


In statistics, a moment is a measure of the expected deviation from the mean. The most important example of a moment is the variance.

Moment is a college-level concept that would be first encountered in a probability and statistics course.

Examples

Mean: In statistics, a mean is quantity corresponding to one of possibly several different definitions of the "average" of a set of values, such as the arithmetic, geometric, or harmonic mean. In the absence of additional context, the term "mean" most commnly refers to the arithmetic mean (i.e., the average).
Standard Deviation: The standard deviation is a statistic defined as the square root of the variance that measures how spread out a set of data is.
Variance: In statistics, variance is the measure of the expected deviation from the mean. The square root of the variance is the standard deviation.

Prerequisites

Integral: An integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals and derivatives are the fundamental objects of calculus.
Probability: Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Classroom Articles on Probability and Statistics (Up to College Level)

  • Arithmetic Mean
  • Least Squares Fitting
  • Binomial Distribution
  • Median
  • Box-and-Whisker Plot
  • Mode
  • Central Limit Theorem
  • Normal Distribution
  • Chi-Squared Test
  • Outlier
  • Conditional Probability
  • Paired t-Test
  • Confidence Interval
  • Poisson Distribution
  • Correlation Coefficient
  • Problem
  • Covariance
  • Sample
  • Erf
  • Scatter Diagram
  • Histogram
  • Statistical Test
  • Hypothesis
  • Statistics
  • Independent Events
  • Uniform Distribution
  • Law of Large Numbers
  • z-Score