# When is the mean the best measure of central tendency?

Question 1:

When is the mean the best measure of central tendency? When is the median the best measure of central tendency? Explain.

Questions 2:

A researcher has determined that the distribution of annual salaries of NBA players is bell-shaped and symmetrical about the mean salary, do you think that introducing Michael Jordan's last annual salary of more than $30 million would skew this distribution? Explain why or why not. What would be the best measure of central tendency for this distribution? Explain

https://brainmass.com/statistics/quantative-analysis-of-data/when-is-the-mean-the-best-measure-of-central-tendency-304388

#### Solution Preview

1. Median is the best measure of central tendency when the distribution is skewed, or asymmetric. The reason for this is that the mean is extremely sensitive to outliers. For example, if a distribution has a heavy right tail, the mean will be pulled towards the right tail because the higher values will have a lot of influence when you ...

#### Solution Summary

This solution discusses mean and median in 234 words.