6. Why would a human resources department use both mean and median when doing a salary evaluation of a department?
Answer: C
A large difference between mean and median shows there are outliers to assess.
Using both the mean and median in salary evaluations allows the human resources department to identify potential outliers in the salary data. When there is a significant discrepancy between the mean and median, it indicates that certain salaries may be disproportionately high or low, warranting further investigation.
A) A large difference between mean and median shows a miscalculation in the analysis.
This option is incorrect because a large difference between the mean and median does not necessarily indicate a miscalculation. Rather, it reflects the distribution of salaries and the presence of outliers, which are important for accurate salary assessments.
B) A large difference between mean and median shows an abnormal standard deviation.
While a large difference may suggest variability in the data, this option misinterprets the relationship between mean, median, and standard deviation. This difference is more indicative of outliers rather than simply an abnormal standard deviation.
C) A large difference between mean and median shows there are outliers to assess.
This option is correct as it directly addresses the implications of the relationship between the mean and median. A substantial difference signifies that there may be salaries that fall significantly outside the typical range, which could impact overall salary evaluations.
D) A large difference between mean and median shows that some employees need raises.
This choice is misleading because a difference between the mean and median does not inherently suggest that certain employees require raises. It instead highlights the need to evaluate salary distribution more closely to understand the causes of the discrepancy.
Conclusion
The correct answer highlights the importance of analyzing salary data for outliers, which can skew results when only the mean is considered. In contrast, the other options fail to accurately capture the significance of the mean and median relationship, which is crucial for a comprehensive understanding of salary distributions within a department.