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The Gaussian Distribution definitions

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  • Gaussian Distribution
    A smooth, bell-shaped curve resulting from repeated experiments without systematic error, modeling population data.
  • fx
    A mathematical function describing the probability distribution of all possible values in a population.
  • Population
    The complete set of data or measurements considered in a statistical analysis or experiment.
  • Mean
    The central value of a data set, located at the exact center of the distribution curve, representing the average.
  • Mu
    A symbol denoting the population mean, always positioned at the center of the Gaussian curve.
  • Standard Deviation
    A measure of spread indicating how far values extend from the center to the curve's edge.
  • Sigma
    A symbol representing the population standard deviation, determining the curve's broadness or narrowness.
  • Curve
    A graphical representation of the distribution, whose shape reflects changes in mean and standard deviation.
  • Broadness
    The width of the distribution curve, increasing with higher standard deviation and decreasing with lower values.
  • Systematic Error
    A consistent bias in measurements that, if absent, allows the formation of a true Gaussian distribution.
  • Center
    The midpoint of the distribution curve, corresponding to the population mean.
  • Edge
    The outermost part of the curve, marking the extent of spread from the center.
  • Measurement
    A single data point collected during an experiment, contributing to the overall distribution.