1. 1: Analyzing Categorical Data



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    • measures spread about the mean and should be used only when the mean is chosen as the measure of center.

    • is always greater than or equal to 0.

      • only when there is no variability. This happens only when all observations have the same value.

      • Otherwise, . As the observations become more spread out about their mean, gets larger.

    • has the same units of measurement as the original observations.

    • Like the mean , is not resistant. A few outliers can make very large. The use of squared deviations makes even more sensitive than to a few extreme observations.

      • Ex: The standard deviation of the travel times for the 15 New York State workers is 21.88 minutes. If we omit the maximum value of 85 minutes, the standard deviation drops to 18.34 minutes.




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