Answer:
With a skewed distribution and data with outliers.
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.