How is the formula for the percent of coefficient of variation expressed?

The percent of the coefficient of variation is expressed as the standard deviation divided by the mean, multiplied by 100. This formula allows for the measurement of relative variability in a dataset expressed as a percentage.

Using this formula facilitates comparisons of variability across different datasets, regardless of the scale of measurement. This is particularly useful in clinical and research settings, such as bone density assessment, where one may need to evaluate the consistency of measurements across different populations or instruments.

In contrast, other options do not properly reflect how variability is quantified in relation to the mean. For example, using the mean divided by the standard deviation does not provide a percentage of variability, nor does adding or subtracting standard deviation from the mean relate to standardization of variability. Thus, the correct understanding of the percent coefficient of variation is critical for proper data interpretation and analysis in various scientific fields.