standardized normal distribution

distribution

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standardized normal distribution

Summary

Key Facts

standardized normal distribution is a type of normal distribution^[1].
standardized normal distribution's Commons category is recorded as Standard normal distribution^[2].
standardized normal distribution's facet of is recorded as statistics^[3].
standardized normal distribution's described by source is recorded as ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability^[4].
standardized normal distribution's TeX string is recorded as \mathcal{N}(0,\,1)^[5].
standardized normal distribution's maintained by WikiProject is recorded as WikiProject Mathematics^[6].

Body

Definition and Type

standardized normal distribution is a type of normal distribution^[1].

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Quick Facts

Subclass of normal distribution

Facet of statistics

Properties

Characteristic function \mathrm{e}^{-\frac{t^2}{2}}

Cumulative distribution function \frac{1}{2} \operatorname{erfc}\left( -\frac{x}{\sqrt{2}} \right)

Defining formula f(x) = \frac{1}{\sqrt{2 \pi} } \mathrm{e}^{-\frac{x^2}{2}}

Described by source ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability

Excess kurtosis 0

Imported from wholeness_audit_2026-05-02

In defining formula f(x)

Maintained by wikiproject WikiProject Mathematics

Mean of a probability distribution 0

Median of a probability distribution 0

Moment-generating function \mathrm{e}^{\frac{t^2}{2}}

Skewness 0

Tex string \mathcal{N}(0,\,1)

Variance of a probability distribution 1

External References (1)

Mathworld id StandardNormalDistribution

References

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APA

4ort.xyz Knowledge Graph. (2026). standardized normal distribution. Retrieved May 7, 2026, from https://4ort.xyz/entity/standardized-normal-distribution

MLA

“standardized normal distribution.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/standardized-normal-distribution.

BibTeX

@misc{4ortxyz_standardized-normal-distribution_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{standardized normal distribution}}, year = {2026}, url = {https://4ort.xyz/entity/standardized-normal-distribution}, note = {Accessed: 2026-05-07}}

LLM prompt

According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): standardized normal distribution — https://4ort.xyz/entity/standardized-normal-distribution (retrieved 2026-05-07)

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