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Coefficient of Variation The coefficient of variation is a measure that is used when we do not know much about the data sets or when the data sets have different units of measure. To find the coefficient of variation (CV), we divide the standard deviation by the mean and multiply by 100 to find the percent. Population CV = = . 100 Sample CV = $ . 100 Let's now consider the following scenario. Suppose that we found the average weight of an adult ostrich is 270 pounds with a standard deviation of 16 pounds. We also found that the average weight of an adult robin is 2.7 ounces with a standard deviation of 0.2 ounces. Which data set is more variable? Since the data has different units of measure, we can use the coefficient of variation to determine which is more variable. Ostrich CV = ~ 0.0593 . 100 = 5.93 Robin CV = 0.0741 - 100 = 7.41 Now compare the coefficients of variation. The larger coefficient has more variability. The weight of a(n) robin is more variable. Check