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What does the coefficient of variation represent?

  1. Mean divided by variance

  2. Standard deviation divided by mean

  3. Mean divided by standard deviation

  4. Variance divided by standard deviation

The correct answer is: Standard deviation divided by mean

The coefficient of variation is a statistical measure that represents the ratio of the standard deviation to the mean, often expressed as a percentage. This measure is useful because it provides a standardized way to evaluate the variability of data in relation to its mean, allowing for comparison between datasets with different units or widely differing mean values. By dividing the standard deviation by the mean, the coefficient of variation indicates how much variability exists in relation to the average value. A higher coefficient of variation signifies greater relative variability, while a lower value indicates more consistency or stability in the data. In contexts like occupational health and safety or any field that relies on data analysis, understanding the coefficient of variation assists professionals in assessing risks and identifying areas of concern where variability in performance or outcomes could impact safety and effectiveness.