# How to explain a Box Plot? [duplicate]

Assuming that I'm able to augment their knowledge about boxplot I can give the below insights for box plot

First Quartile(Q1)
Second Quartile(Q2)
Third Quartile(Q3)
Inter Quartile Range(IQR) = Q3-Q1
Inner Fence:
Lower bound = Q1 - (1.5 * (Q3-Q1))
Upper bound = Q3 + (1.5 * (Q3-Q1))
Outer Fence:
Lower bound = Q1 - (3 * (Q3-Q1))
Upper bound = Q3 + (3 * (Q3-Q1))

Total Number of Outliers(< Q1 or > Q3)


Let's assume this much is articulated and (hopefully) understood by the 'receiver'.

What is the cleanest, easiest way to explain someone the concept of boxplot? What does it intuitively mean? If one is to explain this to a person or manager who was not aware of statistics, how would one go about it "Storytelling with Boxplot Visualization"?

• The last line in your list of characterizations is incorrect: values beyond the first or third quartiles are definitely not "outliers," because--by definition--half the data lie in those regions!
– whuber
Jun 20, 2020 at 13:10
• Are you trying to use a boxplot to explain something about a dataset or are you trying to explain to someone what a boxplot is? Jun 21, 2020 at 3:01
• @RyanVolpi both Jun 21, 2020 at 5:03
• If your audience doesn't know what a boxplot is, I suspect using it would more likely obscure whatever story you want to tell. Your question lists nine conclusions from the boxplot. That alone is likely too much information to communicate a clear message. When you add to that the definition of a boxplot and a description of the ways to interpret it, I believe your 'reciever' will have missed the story. Jun 21, 2020 at 5:55
• @whuber How to get the number of outliers? Is that values <Lower bound of Inner Fence and > Upper bound of Inner Fence?? Jun 21, 2020 at 9:36