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Title: Reasonable Averages That Give Wrong Answers
Url: http://www.rsscse-edu.org.uk/tsj/bts/shahani1/text.html
Creator: Shahani, A. K. (Arjan Kewalram)
Publisher: University of Southampton
Description: Averages are meant to convey the essential features of a set of data, or a random variable, in a simple and a concise way. Like any other summary, an average can be misleading, misused and abused; there is a fair amount of literature on this aspect of averages, the book by D. Huff(1973) being a particularly readable account. In one intuitive use of averages there is a source of error which can be quite serious and which is often not recognized. This source of error is illustrated below by a quality control problem, a project, an experiment and a game. A Taylor series expansion gives an insight into the nature of the error.
LC Classification: Science -- Mathematics -- Mathematical statistics -- Analysis of variance and covariance. Experimental design
Science -- Mathematics -- Mathematical statistics -- Study and teaching. Research
GEM Subject: Mathematics -- Statistics
Key Concept: Mathematics -- Averages
Mathematics -- Statistical errors
Mathematics -- Statistics
Mathematics -- Tests of variance
Key Concepts Complete: Yes
Resource Type: Mathematics Materials
Reference
Format: html
Audience: College/University Instructors
Higher Education
Secondary Education
Students
Teachers
Technical School First Cycle
Technical School Second Cycle
University First Cycle
University Second Cycle
Vocational Training
Language: English
Access Rights: Free access
Date Of Record Release: 2009-03-09 03:00:02 (W3C-DTF)
Date Last Modified: 2011-06-15 15:31:38 (W3C-DTF)
Source: CAUSEweb
Full Record Views: 28
Resource URL Clicks: 5
Cumulative Rating: this resource has a 1 star rating (Based on 1 response.)
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