A researcher calculates the coefficient of variation for two datasets: weight (CV = 15%) and height (CV = 5%). Which statement is correct?

• A Weight has greater absolute variability than height
• B Height has greater relative variability than weight
• C The standard deviation of weight is 15 kg
• D Weight has greater relative variability than height ✓

Explanation

The coefficient of variation (CV) is the ratio of standard deviation to mean, expressed as a percentage. It measures relative variability, allowing comparison across variables with different units. A CV of 15% for weight means greater relative variability than 5% for height. CV does not give absolute values, so the standard deviation cannot be determined from CV alone without knowing the mean.

Reference: Methods in Biostatistics, 8th ed.

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