Multiple choice

Given the following data: Number of observations = 100 Arithmetic mean = 180 Variance = 324 The coefficient of variation will be:

  1. 32.4%

  2. 10%

  3. 18%

  4. 1.8%
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B Correct answer
Explanation

The coefficient of variation is calculated as (standard deviation / mean) * 100. Given variance = 324, the standard deviation is sqrt(324) = 18. Thus, CV = (18 / 180) * 100 = 0.1 * 100 = 10%.

AI explanation

The formula for the coefficient of variation is Standard Deviation divided by the Arithmetic Mean, multiplied by 100. The standard deviation is the square root of the variance, so the standard deviation is the square root of 324, which is 18. Therefore, the coefficient of variation is (18 / 180) * 100, resulting in 10%.

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