# Question: The standard deviation alone does not measure relative variation For

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 de fined by the formula CV = 100as x b. 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

a. For each of the given samples, calculate the mean and the standard deviation.

b. Compute the coefficient of variation for each sample. Do the results surprise you? Why or why not?

a. For each of the given samples, calculate the mean and the standard deviation.

b. Compute the coefficient of variation for each sample. Do the results surprise you? Why or why not?

## Answer to relevant Questions

Based on a large national sample of working adults, the U.S. Census Bureau reports the following information on travel time to work for those who do not work at home: lower quartile 7 minutes median 18 minutes upper quartile ...Shown here are the number of auto accidents per year for every 1000 people in each of 40 occupations (Knight Ridder Tribune, June 19, 2004): a. Would you recommend using the standard deviation or the iqr as a measure of ...A student took two national aptitude tests. The national average and standard deviation were 475 and 100, respectively, for the first test and 30 and 8, respectively, for the second test. The student scored 625 on the first ...The accompanying table gives the mean and standard deviation of reaction times (in seconds) for each of two different stimuli: If your reaction time is 4.2 seconds for the first stimulus and 1.8 seconds for the second ...Although bats are not known for their eyesight, they are able to locate prey (mainly insects) by emitting high-pitched sounds and listening for echoes. A paper appearing in Animal Behaviour (“The Echolocation of Flying ...Post your question