B webassignnet a} HW04.a... la The standard deviation alone does not measure relative variation. For example, a standard deviation of $1 would be considered large if it is describing the variability from store to store in the price of an ice cube tray. On the other hand, a standard deviation of $1 would be considered small if it is describing store-to-store variability in the price ofa particular brand of freezer. A quantity designed to give a relative measure of variability is the coefcient of variation. Denoted by CV, the coefficient of variation expresses the standard deviation as a percentage of the mean. It is dened by the following formula. cv = 100(5/70 Consider two samples. Sample 1 gives the actual weight (in ounces) of the contents of cans of pet food labeled as having a net weight of 8 ounces. Sample 2 gives the actual weight (in pounds) of the contents of bags of dry pet food abeled as having a net weight of 50 pounds. The weights for the two samples are as follows. 6.4 5.6 5.5 6.7 5.5 Sample 1 6.4 6.7 5.7 5.7 5.2 51.1 51.5 50.3 52.9 51.0 Sample 2 47.0 50.4 50.3 48.7 48.2 USE S (a) For each of the given samples, calculate the mean and the standard deviation. (Round your standard deviations to four decimal places.) Sample 1 Mean Standard Deviation Sample 2 Mean Standard Deviation (b) Calculate the coefcient of variation for each sample. (Round your answers to two decimal places.) cv1 cv2 Need Help? @