The mean of a distribution is 18 and the standard deviation is 4.5. What is the value of thecoefficient of variation?(a) 50%(b) 25%(c) 100%(d) 75%
Question
The mean of a distribution is 18 and the standard deviation is 4.5. What is the value of thecoefficient of variation?(a) 50%(b) 25%(c) 100%(d) 75%
Solution
The coefficient of variation (CV) is a statistical measure of the relative variability. It is the ratio of the standard deviation to the mean, and it is often expressed as a percentage.
Here's how to calculate it:
Step 1: Identify the mean and the standard deviation. From the question, we know that the mean (average) is 18 and the standard deviation is 4.5.
Step 2: Divide the standard deviation by the mean. So, 4.5 ÷ 18 = 0.25.
Step 3: To express this as a percentage, we multiply by 100. So, 0.25 x 100 = 25%.
Therefore, the coefficient of variation is 25%. The correct answer is (b) 25%.
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