What is the meaning of Standard Normal Distribution or Standardized Normal Distribution?

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Occurs when the underlying normal distribution is converted by changing its scale. The importance of this is that different normal distributions can now be compared to one another. Otherwise, separate tables of values would have to be generated for each pairing of mean and standard deviation values. This standardized variate term is often expressed as Z is N(0, 1), or Z is a normal distribution with a mean value of zero and variance equal to one.

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APABarry Goldsmith. (2010). Standard Normal Distribution or Standardized Normal Distribution. Retrieved September 21, 2026, from http://smartdefine.org/standard_normal_distribution_or_standardized_normal_distribution/definitions/1164071
ChicagoBarry Goldsmith. 2010. "Standard Normal Distribution or Standardized Normal Distribution" http://smartdefine.org/standard_normal_distribution_or_standardized_normal_distribution/definitions/1164071 (accessed September 21, 2026).
HarvardBarry Goldsmith 2010, Standard Normal Distribution or Standardized Normal Distribution, Smart Define, viewed 21 September, 2026, <http://smartdefine.org/standard_normal_distribution_or_standardized_normal_distribution/definitions/1164071>.
MLABarry Goldsmith. "Standard Normal Distribution or Standardized Normal Distribution" 21 October 2010. Web. 21 September 2026. <http://smartdefine.org/standard_normal_distribution_or_standardized_normal_distribution/definitions/1164071>