The average number of days construction workers miss per yea

The average number of days construction workers miss per year is 5. The standard deviation is 1.2. The average number of days factory workers miss per year is 9 with a standard deviation of 1.2. Which class is more variable in terms of days missed? Calculate the coefficient of variation. Round your answers to two decimal places as needed.

Solution

Note that

coefficient of variation (Cvar) = sigma/mu

where sigma = standard deviation, mu = mean.

For construction workers,

Cvar = 1.2/5 * 100% = 24% [ANSWER]

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For factory workers,

Cvar = 1.2/9 * 100% = 13.33% [ANSWER]

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Hence, the factory workers are more variable.