Under what circumstances is the median likely to produce a better measure of central tendency than the mean?

With a skewed distribution and data with outliers.

Step-by-step explanation:

There are three measures of central tendency.

Mean: It is the average value of data and affected by presence of outliers. Median: It is the value that divides the data into two equal parts. It is a position based measure of tendency. Mode: It is the most frequent observation in the data. For a symmetrical distribution for continuous data, the mean, median, and mode are equal. For such case mean is a better measure of central tendency because it includes all of the data in the calculations. Median is the best measure of central tendency when the data is not symmetrical because the median is position based. Advantage of the median:

The median is not affected by outliers and skewed data as compared to the mean.

Thus, median likely to produce a better measure of central tendency than the mean with a skewed distribution and data with outliers.