Hi,
This type of graph is called a rose diagram. There is a report you can run in Business analyst called a "Wind Rose Report" but I'm not sure if this is what you are looking for.
How Wind Rose Report works—Help | ArcGIS Desktop
What kind of diagram/map are you trying to make?
Thank you for answer. Well, i have to make this rose diagram using the the average time it takes to a light vehicle to get from one city to another. The picture that i uploaded is the example.