A researcher has determined that the distribution of annual

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 Kobe Bryant\'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.

Solution

Yes, introducing Kobe Bryant\'s last salary will skew the distribution because his annual salary would be considered as an outlier since it is significantly more than other NBA players.

Having outlier while using the mean method will significantly inflate the results. Therefore the best measure of Central tendency for this distribution is the median as the data is skewed.