Step 1 :The coefficient of variation is a measure of relative variability. It is the ratio of the standard deviation to the mean, and it is often expressed as a percentage. In this case, we need to calculate the coefficient of variation for height.
Step 2 :The formula for the coefficient of variation (CV) is: \(CV = \frac{Standard Deviation}{Mean} \times 100\)
Step 3 :Given that the mean height for adult men in the United States is 72.3 inches and the standard deviation is 3.1 inches, we can substitute these values into the formula to find the coefficient of variation for height.
Step 4 :Substituting the given values into the formula, we get \(CV = \frac{3.1}{72.3} \times 100\)
Step 5 :Calculating the above expression, we get CV = 4.288
Step 6 :Final Answer: The coefficient of variation for height is \(\boxed{4.288\%}\)