# Standardize

Standardize[list]

shifts and rescales the elements of list to have zero mean and unit sample variance.

Standardize[list,f1]

shifts the elements in list by f1[list] and rescales them to have unit sample variance.

Standardize[list,f1,f2]

shifts by f1[list] and scales by f2[list].

# Examples

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## Basic Examples(3)

Compute standard scores for data:

Shift to have mean zero without scaling:

Shift by the Median and scale by the InterquartileRange:

## Scope(5)

Standardize exact numeric data:

Symbolic values:

Standardize arbitraryprecision data:

Standardize matrix data by column:

Standardize a TimeSeries:

## Generalizations & Extensions(1)

Standardize a SparseArray:

## Applications(3)

Shift normally distributed values to a standard normal:

The theoretical curves:

Center a data matrix by subtracting column means:

The mean of the centered data is 0:

The covariance structure is unchanged:

Use Standardize to centralize a TimeSeries:

Centralize:

The variance is unchanged:

## Properties & Relations(1)

Compute MeanDeviation using Standardize:

Wolfram Research (2008), Standardize, Wolfram Language function, https://reference.wolfram.com/language/ref/Standardize.html.

#### Text

Wolfram Research (2008), Standardize, Wolfram Language function, https://reference.wolfram.com/language/ref/Standardize.html.

#### CMS

Wolfram Language. 2008. "Standardize." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Standardize.html.

#### APA

Wolfram Language. (2008). Standardize. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Standardize.html

#### BibTeX

@misc{reference.wolfram_2024_standardize, author="Wolfram Research", title="{Standardize}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/Standardize.html}", note=[Accessed: 18-September-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_standardize, organization={Wolfram Research}, title={Standardize}, year={2008}, url={https://reference.wolfram.com/language/ref/Standardize.html}, note=[Accessed: 18-September-2024 ]}