Z-score
Z-score
The Z-score (pronounced "zee score"), also known as a standard score, is a statistical measurement that describes a value's relationship to the mean of a group of values. It is measured in terms of standard deviations from the mean.
Pronunciation
- IPA: /ziː skɔːr/
Etymology
The term "Z-score" originates from the field of Statistics, where "Z" is often used to denote standard deviation. The "score" part of the term refers to the value being measured.
Definition
A Z-score is a numerical measurement used in Statistics to describe a value's relationship to the mean of a group of values. It is a dimensionless quantity derived by subtracting the population mean from an individual raw score, then dividing the difference by the population standard deviation.
Formula
The Z-score is calculated using the following formula:
Z = (X - μ) / σ
Where:
- Z is the Z-score,
- X is the value being measured,
- μ is the mean of the population, and
- σ is the standard deviation of the population.
Related Terms
See Also
References
- Z-Score: Definition, Formula and Calculation - Investopedia
- Z-Score - MathWorld
External links
- Medical encyclopedia article on Z-score
- Wikipedia's article - Z-score
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