If the distribution is skewed the mean, median and mode are really not very informative. it’s more informative to also provide quartiles also.
Five – number Summary – The five number summary of a distribution consists of the Median, the quatiles Q1 and Q3, and the smallest and largest observations written in the order of Minimum, Q1, Median, Q3 and Maximum.
Boxplots are a popular way of visualizing a distribution, specifically five number summary. A Boxplot incorporates the five number summary as follows.
- The ends of the box are at the quartiles
- The median is marked by a line within the box
- Two lines outside the box extend the smallest and largest observations.