The police department of a major city has found that the average height of their 1,250 officers is 71 inches (μ = 71 in.) with σ = 2.3 inches.

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There are two companies that sell the medication, Company A and Company B. Company A’s tablets have a mean of 5 mg of medication and Company B’s tablets also have a mean amount of 5 mg of medication. This information would lead you to believe that it would make no difference which company filled your prescription. But what if you were told that Company A’s tablets have a standard deviation of 1 mg and Company B’s a standard deviation of .001 mg.
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I would want the one with the lowest variability. SD is a measure of variability.
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