Answer:
Factory Workers
Explanation:
While a common mistake may be to take in count of only the standard deviation (like I had done previously), there is an equation to use that measures the dispersion of data points in a data set around the mean, called coefficient of variation.
[tex]CV=\frac{\sigma}{\mu} *100[/tex] where sigma is the population standard deviation and mu is the population's mean.
The highest percentage of CV is considered more variable.
Let's do the math:
Construction workers: [tex]\frac{\sigma}{\mu} =\frac{2.3}{11} =0.209*100=20.9%\\[/tex]
Factory workers: [tex]\frac{\sigma}{\mu} =\frac{1.8}{8} =0.225*100=22.5%[/tex]
Since factory workers have a higher percentage, their data is more variable.
