Explore BrainMass

Explore BrainMass

    When is the mean the best measure of central tendency?

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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

    © BrainMass Inc. brainmass.com June 3, 2020, 11:52 pm ad1c9bdddf
    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.

    $2.19

    ADVERTISEMENT