When means and standard deviations are an incomplete summary of a continuous variable: problems, solutions, and utilising the reference ranges to check normality

Abstract

The mean and standard deviation are commonly used to summarise continuous data, often without regard for the distribution of the data. For data in a non-normal distribution, the median and interquartile interval are often more appropriate. This article outlines circumstances where the mean and standard deviation alone are insufficient summary variables, and provides a simple appraisal method for reviewers without the raw data.

Publication DOI: https://doi.org/10.1136/bmjmed-2025-001796
Divisions: College of Health & Life Sciences > School of Optometry > Optometry
College of Health & Life Sciences
Aston University (General)
Additional Information: This is an open access article distributed in accordance with the Creative Commons Attribution Non Commercial (CC BY-NC 4.0) license, which permits others to distribute, remix, adapt, build upon this work non-commercially, and license their derivative works on different terms, provided the original work is properly cited, appropriate credit is given, any changes made indicated, and the use is non- commercial. See: https://creativecommons.org/licenses/by-nc/4.0/
Publication ISSN: 2754-0413
Last Modified: 13 Feb 2026 17:03
Date Deposited: 13 Feb 2026 17:03
Full Text Link:
Related URLs: https://bmjmedi ... ent/5/1/e001796 (Publisher URL)
PURE Output Type: Article
Published Date: 2026-02-04
Published Online Date: 2026-02-04
Accepted Date: 2026-01-08
Authors: Green, Dan J. (ORCID Profile 0000-0003-1934-6725)
Campbell, Michael J.
Koutoumanou, Eirini

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