Problem

Height and weight: A national public health agency study states that the mean height for aduit men in the United States is 72.3 inches with a standard deviation of 3.1 inches, and the mean weight is 181.4 pounds with a standard deviation of 29.1 pounds.
Part: $0 / 3$
Part 1 of 3
(a) Compute the coefficient of variation for height. Round the answer to at least three decimal places.
The coefficient of variation for height is

Answer

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Answer

Final Answer: The coefficient of variation for height is \(\boxed{4.288\%}\)

Steps

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 \(\boxed{4.288\%}\)

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