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The Normal Distribution

  • H. Mulholland
  • C. R. Jones

Abstract

The normal distribution is probably the most widely studied distribution in statistics because :
  1. (a)

    Distributions which are approximately normal are frequently encountered, e.g. most sets of random errors follow the normal distribution.

     
  2. (b)

    The normal distribution is important as a ‘limiting distribution’, i.e. it can be used as an approximation to other distributions (see sections 8.7 and 8.8).

     
  3. (c)

    The normal distribution is easy to use.

     
  4. (d)

    It has been shown that the results obtained by assuming a non-normal population to be normally distributed are reasonably accurate when the departure from normality is not too severe.

     
  5. (e)

    The central limit theorem shows that the means of samples of size n from any population are approximately normally distributed. The approximation improves as n gets bigger.

     

Keywords

Normal Distribution Poisson Distribution Binomial Distribution Normal Approximation Normal Curve 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1968

Authors and Affiliations

  • H. Mulholland
    • 1
  • C. R. Jones
    • 1
  1. 1.Liverpool Regional College of TechnologyUK

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