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ERIC Number: EJ1166666
Record Type: Journal
Publication Date: 2017-Jun
Pages: 17
Abstractor: As Provided
ISSN: ISSN-0196-5042
Visualizing the Sample Standard Deviation
Sarkar, Jyotirmoy; Rashid, Mamunur
Educational Research Quarterly, v40 n4 p45-61 Jun 2017
The standard deviation (SD) of a random sample is defined as the square-root of the sample variance, which is the "mean" squared deviation of the sample observations from the sample mean. Here, we interpret the sample SD as the square-root of twice the mean square of all pairwise half deviations between any two sample observations. This interpretation leads to a geometric visualization of the sample SD, and a more elementary explanation as to why the denominator in the sample variance is one less than the sample size.
Behavioral Research Press. Grambling State University, Math Department, P.O. Box 1191, Grambling, LA 71245. Tel: 318-274-2425; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A