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Standard Deviation

Noun
US US /ˈstændərd ˌdevɪˈeɪʃən/ GB UK /ˈstændəd ˌdevɪˈeɪʃən/
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STEM Mathematics intermediate

Definition

A statistical measure of how spread out data values are from the average.

Visual Reference

Standard Deviation illustration

Detailed Explanation

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Example

A small standard deviation means data is tightly clustered around the mean.

In Practice

Test score standard deviation shows how much students' scores vary from average.

Video Explanation

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Case Study

Standard deviation quantifies variability—essential for understanding data quality. In a normal distribution, about 68% of data falls within one standard deviation of the mean, following the empirical rule.

Word Usage

Essential in quality control, research analysis, and understanding data reliability.

STEM Mathematics

Use Case

Manufacturing engineers use standard deviation to monitor product consistency.

Also Known As

measure of spreadvariabilitysigmadispersion measuredistribution width

Synonyms

measure of spreadvariability

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