A distribution has a mean equal to 12 and a standard deviation of 36. It has a coefficient of variation equal to:
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A. B. C. D.Explanation
The coefficient of variation equals the standard deviation divided by mean.
The coefficient of variation (CV) is a measure of relative variability and is calculated as the ratio of the standard deviation to the mean. It is often used to compare the variability between two or more distributions, especially when their means are different.
In this case, the distribution has a mean of 12 and a standard deviation of 36. To calculate the coefficient of variation, we divide the standard deviation by the mean:
CV = Standard Deviation / Mean
CV = 36 / 12
CV = 3
Therefore, the coefficient of variation for this distribution is 3. Option D, 3.00 D, is the correct answer.
Option A, zero, is incorrect because the distribution has a non-zero standard deviation, indicating variability in the data.
Option B, none of these answers, is incorrect because there is a specific value for the coefficient of variation in this case.
Option C, 0.335, is incorrect because the correct value is 3, not 0.335.