WOLFRAM

Wolfram Language & System Documentation Center

MeanCI[list]

gives a confidence interval for the population mean estimated from list.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Options  
ConfidenceLevel  
KnownVariance  
See Also
Tech Notes
Related Guides
Cite this Page
HypothesisTesting`
HypothesisTesting`

MeanCI

MeanCI[list]

gives a confidence interval for the population mean estimated from list.

Details and Options

  • To use MeanCI, you first need to load the Hypothesis Testing Package using Needs["HypothesisTesting`"].
  • MeanCI[list] gives a confidence interval {min,max} centered at Mean[list].
  • If the variance is assumed known, MeanCI is based on the normal distribution.
  • If the variance is not assumed known, MeanCI is based on Student's distribution with Length[list]-1 degrees of freedom.
  • The following options can be given:
  • ConfidenceLevel 0.95probability associated with a confidence interval
    KnownVariance Nonevariance of population

Examples

open all close all

Basic Examples  (1)

Wolfram Language code: Needs["HypothesisTesting`"]

A 95% confidence interval for the population mean:

Wolfram Language code: MeanCI[{1,2,4,6,3}]

Options  (2)

ConfidenceLevel  (1)

Wolfram Language code: Needs["HypothesisTesting`"]

A 99% confidence interval:

Wolfram Language code: MeanCI[{1,2,4,6,3},ConfidenceLevel->.99]

KnownVariance  (1)

Wolfram Language code: Needs["HypothesisTesting`"]

A 95% confidence interval assuming the population variance is 1:

Wolfram Language code: MeanCI[{1, 2, 4, 6, 3}, KnownVariance -> 1]
Wolfram Research (2007), MeanCI, Wolfram Language function, https://reference.wolfram.com/language/HypothesisTesting/ref/MeanCI.html.

Text

Wolfram Research (2007), MeanCI, Wolfram Language function, https://reference.wolfram.com/language/HypothesisTesting/ref/MeanCI.html.

CMS

Wolfram Language. 2007. "MeanCI." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/HypothesisTesting/ref/MeanCI.html.

APA

Wolfram Language. (2007). MeanCI. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/HypothesisTesting/ref/MeanCI.html

BibTeX

@misc{reference.wolfram_2026_meanci, author="Wolfram Research", title="{MeanCI}", year="2007", howpublished="\url{https://reference.wolfram.com/language/HypothesisTesting/ref/MeanCI.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_meanci, organization={Wolfram Research}, title={MeanCI}, year={2007}, url={https://reference.wolfram.com/language/HypothesisTesting/ref/MeanCI.html}, note=[Accessed: 13-June-2026]}