standard deviation

Meanings

• noun

  A statistical measure of the amount of variation or dispersion of a set of values. It is calculated as the square root of the variance.

  - "The standard deviation of the data set is an important measure of its spread."
  - "In statistics, the standard deviation is often used to describe the amount of variation in a data set."

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Synonyms

sigma , standard error

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Variants

List of all variants of standard deviation that leads to same result
standard deviation , standard deviations

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Etymology

origin and the way in which meanings have changed throughout history.

The term 'standard deviation' was first introduced by mathematician Leonhard Euler in the 18th century. The term 'deviation' refers to the difference between an individual data point and the mean.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. Did you know that the standard deviation of a perfectly normal distribution is equal to its standard error?

2. The standard deviation is an important concept in statistical analysis and is used to measure the dispersion of data in various fields, including finance, engineering, and physics.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Variance: The variance is a statistical measure of the spread of a dataset. It is calculated as the average of the squared differences from the mean.

2. Mean: The mean is a statistical measure of central tendency. It is calculated by adding all the data points and dividing by the number of data points.

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Culture

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The standard deviation has been used extensively in various fields, including finance, engineering, and physics, to measure the dispersion of data.

How to Memorize "standard deviation"

1. visualize
   

   - To visualize standard deviation, imagine a bell curve or normal distribution. The standard deviation is represented by the width of the curve.
   - Another way to visualize standard deviation is by calculating it for different subsets of data and comparing the spread between them.

2. associate
   

   - Associate the standard deviation with the idea of dispersion or spread.
   - Think of the standard deviation as a measure of how far data points deviate from the mean.

3. mnemonics
   

   - Remember the mnemonic 'Silly Deviants' to remember that standard deviation measures the spread of data points around the mean.

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