After seeing a presentation on the power of data mining and hearing about your past consulting work, you are approached to create a model for a university's admissions office. The members of the admissions review board just heard about a technique called "clustering", and they think it would be a good idea to try this technique on the newest batch of applying students for the upcoming academic year. By sorting applicants into groups, they believe it will be easier to then make application and recruiting decisions. For confidentiality reasons, you are provided with only a few select attributes for each of the university's roughly 4,000 undergraduate applicants