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Title: Star Library: What Makes the Standard Deviation Larger or Smaller?
Url: https://www.causeweb.org/cause/archive/repository/StarLibrary/activiti...
Creator: delMas, Robert C.
Publisher: University of Minnesota
Description: The activity is designed to help students develop a better intuitive understanding of what is meant by variability in statistics. Emphasis is placed on the standard deviation as a measure of variability. As they learn about the standard deviation, many students focus on the variability of bar heights in a histogram when asked to compare the variability of two distributions. For these students, variability refers to the €œvariation€ in bar heights. Other students may focus only on the range of values, or the number of bars in a histogram, and conclude that two distributions are identical in variability even when it is clearly not the case. This activity can help students discover that the standard deviation is a measure of the density of values about the mean of a distribution and to become more aware of how clusters, gaps, and extreme values affect the standard deviation.
LC Classification: Science -- Mathematics -- Mathematical statistics -- Addresses, essays, lectures
Science -- Mathematics -- Mathematical statistics -- Analysis of variance and covariance. Experimental design
Science -- Mathematics -- Probabilities -- Distributions. Characteristic functions
GEM Subject: Mathematics -- Statistics
Key Concept: Mathematics -- Normal distribution
Mathematics -- Standard deviation
Mathematics -- Statistics
Mathematics -- Tests of variance
Date Issued: 2001
Resource Type: Reference Material
Instructional Material
Instructional Material -- Lesson/Lesson Plan
Instructional Material -- Instructor Guide/Manual
Format: Document -- HTML
Audience: Educator
Learner
Education Level: High School
Higher Education
Higher Education -- Undergraduate (Lower Division)
Higher Education -- Undergraduate (Upper Division)
Higher Education -- Technical Education (Upper Division)
Higher Education -- Technical Education (Lower Division)
Vocational/Professional Development Education
Language: English
Rights: Robert C. delMas
Access Rights: Free access
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Source: CAUSEweb
Full Record Views: 2
Resource URL Clicks: 45
Cumulative Rating: NOT YET RATED
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