Question

missing work the average number of days construction workers miss per year is 9. the standard deviation is 3.1. the average number of days factory workers miss per year is 5 with a standard deviation of 1.7. which class is more variable in terms of days missed? part: 0 / 2 part 1 of 2 calculate the coefficient of variation. round your answers to two decimal places as needed. construction workers cvar: % factory workers cvar: %

Explanation:

Step1: Recall coefficient of variation formula

The formula for the coefficient of variation (CV) is $CV=\frac{\sigma}{\mu}\times100\%$, where $\sigma$ is the standard - deviation and $\mu$ is the mean.

Step2: Calculate CV for construction workers

For construction workers, $\mu = 9$ and $\sigma=3.1$. So, $CV_{construction}=\frac{3.1}{9}\times100\%=\frac{310}{9}\% \approx 34.44\%$.

Step3: Calculate CV for factory workers

For factory workers, $\mu = 5$ and $\sigma = 1.7$. So, $CV_{factory}=\frac{1.7}{5}\times100\%= 34\%$.

Answer:

Construction workers CVar: $34.44\%$
Factory workers CVar: $34.00\%$