example, large if it is describing the varlablity 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 of a particular brand of freezer. A quantity designed to give a relative measure of variability is the coefficient of variation. Denoted by CV, the coefficient of variation expresses the standard deviation as a percentage of the mean. It is defined by the following formula. CV = 100(s/x) 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 labeled as having net weight of 50 pounds. The weights for the two samples are as follows. 8.9| 7.7 7.3 8.9 7.3 Sample 1 7.3 7.5 8.9 8.4 7.3 51.5 50.6 53.0 50.4 50.8 Sample 2 47.0 50.4 50.3 48.7 48.2 In USE SALT (a) For each of the given samples, calculate the mean and the standard deviation. (Round your standard deviations to four decimal places.) Sample 1 7.95 0.5406 Mean Standard Deviation Sample 2 50.0667 x 1.8188 X Mean Standard Deviation (b) Calculate the coefficient of variation for each sample. (Round your answers to two decimal places.) cv, 9.25 CV, 3.63 Need Help? Read it

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Transcribed Image Text: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 of a particular brand of freezer. A quantity designed to give a relative measure of variability is the coefficient of variation. Denoted by CV, the coefficient of variation expresses the standard deviation as a percentage of the mean. It is defined by the following formula. CV = 100(s/x) 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 labeled as having a net weight of 50 pounds. The weights for the two samples are as follows. 8.9 7.7 7.3 8.9 7.3 Sample 1 8.9 8.4 7.3 7.3 7.5 51.5 50.6 53.0 50.4 50.8 Sample 2 47.0 50.4 50.3 48.7 48.2 In USE SALT (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 7.95 Standard Deviation 0.5406 Sample 2 Mean 50.0667X Standard Deviation |1.8188 (b) Calculate the coefficient of variation for each sample. (Round your answers to two decimal places.) CV 9.25 CV2 3.63 Need Help? Read It

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