Question

question 2
20 pts
what is the rationale for using the coefficient of variation instead of standard deviation as a measure of variability?
the coefficient of variability is tailored to industrial applications where standard deviation is a more academic measure
the coefficient of variability is a more global measure where standard deviation is a local measure
the coefficient of variability takes into consideration workers impact on the line where standard deviation only deals with equipment
the coefficient of variability looks at relative variability where standard deviation has a hard time dealing with large ranges of measure

Explanation:

The coefficient of variation (CV) is the ratio of the standard - deviation to the mean, expressed as a percentage. It provides a relative measure of variability, making it useful for comparing the variability of datasets with different means and scales. Standard deviation is an absolute measure of variability and can be misleading when comparing datasets with different magnitudes. For example, a standard deviation of 10 might be high for one dataset with a mean of 20 but low for another with a mean of 1000. The CV accounts for this by normalizing the standard deviation with respect to the mean.

Answer:

The coefficient of variability looks at relative variability where standard deviation has a hard time dealing with large ranges of measure.