Final answer:
The coefficient of variation can range from 0 to an undefined upper limit, thus the possible range of values for the coefficient of variation is non-negative. It is calculated as the ratio of the standard deviation to the mean and expressed as a percentage.
Step-by-step explanation:
The coefficient of variation is defined as the ratio of the standard deviation to the mean, expressed as a percentage. The standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation means that the values tend to be close to the mean, while a high standard deviation means that the values are spread out over a wider range.
Since the standard deviation can only be zero or a positive number (it cannot be negative), and the mean is also a positive number for the coefficient of variation to be meaningful, the possible range of values for the coefficient of variation is from 0 to infinity. Therefore, the correct answer to the question is that the coefficient of variation can have non-negative values.
The correlation coefficient, a different statistical measure, will always be between -1 and 1.