Explanation:

Distribution with Lower Coefficient of Variation
- The coefficient of variation (CV) is a measure of relative variability, which is calculated as the standard deviation divided by the mean.
- A distribution with a lower coefficient of variation indicates less variability relative to the mean.
- For example, if Distribution A has a CV of 0.2 and Distribution B has a CV of 0.3, Distribution A would have less variability relative to the mean compared to Distribution B.

Consistency of the Answer
- The statement that the distribution with a lower coefficient of variation has less variability is consistent with the definition of the coefficient of variation.
- Since the coefficient of variation standardizes the measure of dispersion by considering the mean, a lower CV indicates that the data points are closer to the mean.
- Therefore, a distribution with a lower coefficient of variation will have less variability and be more consistent in terms of relative dispersion around the mean.
- This relationship holds true across different datasets and distributions, making the statement universally applicable in the context of statistical analysis.
In conclusion, the distribution for which the coefficient of variation is less does indeed have less variability relative to the mean. This concept is consistent with the definition and calculation of the coefficient of variation, making it a reliable measure of relative variability in statistical analysis.