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The mean number of days construction workers miss per year is 11. The standard deviation is 2.3. The mean number of days factory workers miss per year is 8 with a standard deviation of 1.8. Which class is more variable in terms of days missed?

Please show work.

Sagot :

saya

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.

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