In the coefficient of variation formula, how is it expressed as a percentage?

The coefficient of variation is a statistical measure used to assess the relative variability of a dataset by expressing the standard deviation as a percentage of the mean. This is particularly helpful in comparing the degree of variation between datasets that may have different units or widely differing means.

In the formula for the coefficient of variation, the standard deviation is divided by the mean to get a ratio that expresses how much variability there is in relation to the average value. Multiplying this ratio by 100 converts it into a percentage, making it easier to interpret and compare across different contexts.

Thus, the correct expression for the coefficient of variation as a percentage is given by taking the standard deviation, dividing it by the mean, and then multiplying the result by 100. This allows for a clear understanding of the proportion of variability relative to the mean, providing a meaningful metric for analysis in mass appraising and other fields.