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ERIC Number: ED474272
Record Type: Non-Journal
Publication Date: 2003-Feb
Pages: 15
Abstractor: N/A
Reference Count: N/A
ISBN: N/A
ISSN: N/A
There Are Infinitely Many Normal Distributions: Not All Normal Distributions Are Standard Normal.
Schroeder, Carolyn M.
Many researchers and students assume that the univariate distribution has a single, ubiquitous "bell" shape, perhaps because most books only portray the "standard normal" or normal z-score distribution. This paper shows that the normal curve can have infinitely many appearances. It illustrates that the width to height ratio can change an infinite number of times as the mean and standard deviation change, making the curve appear slightly different each time, while remaining a normal curve. Trying to judge normality by simply looking at the curve may be deceptive. The final judgment must be made by checking the criteria for normality: symmetry, bell shape, unimodality, and fit to the equation for normality. (Contains 6 figures and 11 references.) (Author/SLD)
Publication Type: Reports - Descriptive; Speeches/Meeting Papers
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A