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Example of the Impact of Skew on the Mean
In a set of four simple reaction times (, , , and milliseconds), the mean is milliseconds. If one extreme outlier score of milliseconds is added, the mean rises to milliseconds. This resulting mean is greater than % of the scores and fails to represent the typical behavior in the distribution, demonstrating why researchers prefer the median for highly skewed distributions.
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Research Methods in Psychology - 4th American Edition @ KPU
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Example of the Impact of Skew on the Mean
In a distribution with highly skewed data, how is the relationship between the mean and median affected, and which measure of central tendency is generally preferred?
Match each distribution shape with the correct description of how the mean and median relate to each other within that distribution.