1. The problem is to calculate the coefficient of variation (CV) given the standard deviation $s=6.21$ and the mean $\bar{x}=16.5$.
2. The formula for the coefficient of variation is:
$$CV = \left(\frac{s}{\bar{x}}\right) \cdot 100$$
This formula expresses the ratio of the standard deviation to the mean as a percentage, which helps compare variability between datasets with different units or means.
3. Substitute the given values into the formula:
$$CV = \left(\frac{6.21}{16.5}\right) \cdot 100$$
4. Calculate the fraction:
$$\frac{6.21}{16.5} \approx 0.3764$$
5. Multiply by 100 to convert to percentage:
$$0.3764 \cdot 100 = 37.64\%$$
6. Therefore, the coefficient of variation is approximately $37.64\%$.
This means the standard deviation is about 37.64% of the mean, indicating the relative variability of the data.
Coefficient Variation 4Fb088
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