Here is the way we want mailed items addressed:
Office of Undergraduate Admissions
Johns Hopkins University
3400 N. Charles St.
Baltimore, MD 21218
In answer to your question, it is typical that mailing addresses first list the name or title of the person the mail is going to (Application Coordinator), then the office (Office of Undergraduate Admissions), and then the business or institution (Johns Hopkins University) - followed by the rest of the address.
And apologies for the rude answer provided by the person above. I guess some people just prefer to be obnoxious rather than helpful.