Standard score formula

Converts a raw score into the number of standard deviations it lies above or below the mean. It is used to compare values from different distributions on a common scale.

z = \frac{x - \mu}{\sigma}

What the symbols mean

standard score (z-score), dimensionless
raw score or observed value
mean of the distribution
standard deviation of the distribution

About this formula

  • FieldStatistics
  • TopicDescriptive statistics
  • LevelHigh school
  • Also calledz-score, z score, standardized score, standardization formula, number of standard deviations from the mean, z value formula
  • SourceWikidata Q1050272

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