adjective

Full Definition:

concerned with the individual rather than society, or limited in outlook or concern to one’s own activities or needs.

source: http://www.merriam-webster.com/dictionary/egocentrism

Leading your audience pg 56.

“one way to understand how speakers approach the public speaking process is in terms of egocentrism and audience-centeredness.”

now that I know more clearly what this word means, I understand what the sentence is saying. What the sentence is saying how the audience should understand the speaker the way he  or she  expresses him or herself as a person.