Many studies and articles have been written on the safety of flying. AOPA has a good article about the safety of flying. It can be found here. Even though flying is safe, some people are apprehensive about flying. Telling people about the statistical aspects of flying often does not help. The fear of being in a plane is a human issue, and it is very common. The path to over-coming anxiety is different for everyone. I tackle the issue with a few basic steps.

1) Be open and upfront about your fears
2) Take things one step at a time
3) Use education and knowledge
4) Be active with safety

Communication is the key. Working with your instructor can turn the fear of flying to the thrill and freedom of flying.