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MinMax[list]

gives the list {Min[list],Max[list]}.

MinMax[list,δ]

gives {Min[list]-δ, Max[list]+δ}.

MinMax[list,Scaled[s]]

gives {Min[list]-δ, Max[list]+δ} where δ=s×(Max[list]-Min[list]).

MinMax[list,{δmin,δmax}]

gives {Min[list]-δmin,Max[list]+δmax}.

Details
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Examples  
Basic Examples  
Scope  
Generalizations & Extensions  
Properties & Relations  
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MinMax

MinMax[list]

gives the list {Min[list],Max[list]}.

MinMax[list,δ]

gives {Min[list]-δ, Max[list]+δ}.

MinMax[list,Scaled[s]]

gives {Min[list]-δ, Max[list]+δ} where δ=s×(Max[list]-Min[list]).

MinMax[list,{δmin,δmax}]

gives {Min[list]-δmin,Max[list]+δmax}.

Details

  • MinMax yields a definite result if all its arguments are real numbers.
  • In other cases, MinMax carries out some simplifications.
  • MinMax[list,…] flattens out all sublists in list.
  • MinMax[{}] gives {Infinity,-Infinity}.

Examples

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Basic Examples  (1)

Find the minimum and maximum of a list:

Wolfram Language code: MinMax[{1, 2, 3, 4}]

Pad by a fixed amount:

Wolfram Language code: MinMax[{1, 2, 3, 4}, .2]

Pad by a fraction of the difference:

Wolfram Language code: MinMax[{1, 2, 3, 4}, Scaled[.2]]

Scope  (1)

Find the minimum and maximum of a list:

Wolfram Language code: MinMax[{π, 1.3, E, Sqrt[10]}]

Pad by a fixed amount:

Wolfram Language code: MinMax[{π, 1.3, E, Sqrt[10]}, 1]

Pad by a fraction of the difference:

Wolfram Language code: MinMax[{π, 1.3, E, Sqrt[10]}, Scaled[1 / 4]]

Pad the minimum and maximum differently:

Wolfram Language code: MinMax[{π, 1.3, E, Sqrt[10]}, {0, 1}]

Generalizations & Extensions  (1)

When there are coordinates that are not numerical, the result is typically expressed in terms of Min and Max:

Wolfram Language code: MinMax[{{1, 2}, {a, b}, {3, 2}}]

Properties & Relations  (3)

MinMax[list] is equivalent to {Min[list],Max[list]}:

Wolfram Language code: list = {3, 1, 2, 5, 4};
Wolfram Language code: MinMax[list]
Wolfram Language code: {Min[list], Max[list]}

In particular:

Wolfram Language code: MinMax[{}]
Wolfram Language code: {Min[{}], Max[{}]}

MinMax[list] is equivalent to Quantile[list,{0,1}]:

Wolfram Language code: list = {3, 1, 2, 5, 4};
Wolfram Language code: MinMax[list]
Wolfram Language code: Quantile[list, {0, 1}]

CoordinateBounds generalizes MinMax to higher dimension:

Wolfram Language code: coords = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}, {10, 11, 12}};
Wolfram Language code: CoordinateBounds[coords]

That corresponds to MinMax in each dimension:

Wolfram Language code: Transpose[coords]
Wolfram Language code: MinMax /@ %
Wolfram Research (2015), MinMax, Wolfram Language function, https://reference.wolfram.com/language/ref/MinMax.html.

Text

Wolfram Research (2015), MinMax, Wolfram Language function, https://reference.wolfram.com/language/ref/MinMax.html.

CMS

Wolfram Language. 2015. "MinMax." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/MinMax.html.

APA

Wolfram Language. (2015). MinMax. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/MinMax.html

BibTeX

@misc{reference.wolfram_2026_minmax, author="Wolfram Research", title="{MinMax}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/MinMax.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_minmax, organization={Wolfram Research}, title={MinMax}, year={2015}, url={https://reference.wolfram.com/language/ref/MinMax.html}, note=[Accessed: 12-June-2026]}