ECON 3740 Lecture Notes - Lecture 89: Quartile, Standard Deviation, Interquartile Range

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The coefficient of variation and the inter-quartile range. The standard deviation of a variable has the same units as the variable itself. For example, if wages are measured in dollars per hour, then the standard deviation of wages is also measured in dollars per hour. If information is available on a person"s age measured in years, then the standard deviation of age is also measured in years. It does not make sense to compare the two standard deviations since the variables wage and age have different units. We cannot use standard deviations to make a statement such as: people"s wages are more dispersed than their ages because changing the units in which one of the variables is measured might reverse the order. For example, if age is multiplied by 12, the new age variable is measured in months and the new standard deviation for age would be 12 times larger.

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