Day 3: Dispersion

October 16, 2008 by  
Filed under 10-Day Tour

We found the middle of the group because most people score about the same on any variable we measure. Now that you’ve found a representative for the group, how representative is the mean? Is the group unified and nearly everyone has the same score? Or are there wide fluctuations within the group? We want one number that will tell us if the scores are very similar to each other or if the group is composed of heterogeneous scores.

ll measures of dispersion get larger when the distribution of scores is more widely varied. A narrow distribution (a lot of similar scores) has a small amount of dispersion. A wide distribution (lots of different scores) has a wide distribution. The more dispersion, the more heterogeneous (dissimilar) the scores will be.
There are five measures of dispersion:
Range
Mean Absolute Deviation (Mean Variance)
Sum of Squares
Variance
Standard Deviation

NOW YOU CHOOSE:
    
Day 3: Dispersion

    A Bit More About Dispersion
    Even More About Dispersion
        
Range
        MAD
        Sum of Squares
        Variance
        Standard Deviation
    How To Calculate
        
Range
        MAD
        Sum of Squares
        Variance
        Standard Deviation
    Formulas For Dispersion
    Practice Problems
    More Practice Problems
    Basic Facts About Dispersion
    Audio: Lectures
    Vocabulary
    
Quiz 3
    Summary

 

 

 

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