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At a local company, the median salary for all employees is $\$58{,}020$ and the standard deviation is $\$19{,}694$. An individual making $\$140{,}396$ while working at this company would be in the $95^\text{th}\text{ percentile}$ while an individual in the $25^\text{th}\text{ percentile}$ would be making about $\$44{,}735$.

Which of the following reasons might cause us to suspect that the distribution of salaries at this company is not approximately normal?

A

The difference between the $95^\text{th}\text{ percentile}$ and the mean is greater than the difference between the mean and the $25^\text{th}\text{ percentile}$.

B

It is impossible for an individual working for this company to be earning $3$ standard deviations below the mean.

C

If the salaries were normally distributed, someone at the $95^\text{th}\text{ percentile}$ should be making more than $\$140{,}396$.

D

If the salaries were normally distributed, someone at the $25^\text{th}\text{ percentile}$ should be making less than $\$44{,}735$.

E

All of the above are valid reasons why we may suspect the distribution is not approximately normal.

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