Deleting Values May Either Increase or Decrease Variance

David L. Farnsworth

International Journal of Mathematics and Mathematical Sciences, 2025, vol. 2025, 1-5

Abstract: The impact upon variance when a value is deleted is addressed. It is shown that the cutoff for the deleted value yielding an increase or a decrease in variance is approximately one standard deviation from the mean for a univariate random variable with equally distributed probability on a finite set of elements and for a univariate set of observations. The influence of truncation of the domain for such a discrete random variable and for observations is considered.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:8871109

DOI: 10.1155/ijmm/8871109

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