63. Why would a human resources department use both mean and median when doing a salary evaluation of a department?
Answer: B
A large difference between mean and median shows there are outliers to assess.
Using both mean and median in salary evaluations allows the human resources department to identify potential outliers in salary data. A significant discrepancy between these two measures indicates that certain salaries are much higher or lower than the majority, necessitating further investigation.
A) A large difference between mean and median shows that some employees need raises.
This option is incorrect because while a disparity between mean and median may suggest salary discrepancies, it does not directly indicate that specific employees need raises. The focus is on outliers rather than the overall need for salary adjustments.
B) A large difference between mean and median shows there are outliers to assess.
This option is correct as it highlights that a notable difference between the mean and median indicates the presence of outliers. These outliers can skew the mean, thus requiring HR to analyze these salaries to understand the underlying causes.
C) A large difference between mean and median shows an abnormal standard deviation.
This statement is misleading. While a large difference might imply variability in data, it does not directly indicate an abnormal standard deviation. Standard deviation is a separate statistical measure that assesses the dispersion of salaries, which may not necessarily correlate with mean and median discrepancies.
D) A large difference between mean and median shows a miscalculation in the analysis.
This option is incorrect as a large difference does not inherently indicate a miscalculation. Such differences can arise naturally due to the presence of outliers rather than errors in data entry or calculation.
Conclusion
The correct answer, B, emphasizes the importance of identifying outliers in salary evaluations, which can significantly influence the mean. Understanding the relationship between mean and median is crucial for HR departments to make informed decisions about salary adjustments and address any disparities effectively. All other options fail to accurately capture the relevance of outliers in this context.