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In: Statistics and Probability

Types of Clusterings. Each of the following parts describes a collection of groups. Describe each of...

Types of Clusterings. Each of the following parts describes a collection of groups. Describe each of these groups in terms of the characteristics Types of Clusterings. Each of the following parts describes a collection of groups. Describe each of these groups in terms of the characteristics that we applied to sets of clusters. Specifically, classify the groups as to what Types of Clusterings. Each of the following parts describes a collection of groups. Describe each of these groups in terms of the characteristics that we applied to sets of clusters. Specifically, classify the groups as to whether they are her they are that we applied to sets of clusters. Specifically, classify the groups as to whether they are

        - hierarchical or partitional
- overlapping or non-overlapping
- fuzzy or crisp
- complete or incomplete

Note: Each part should be labeled with four characteristics, e.g., partitional, overlapping, crisp, and incomplete. Also, if you feel there may be some ambiguity about what characteristics a grouping has, provide a short justification of your answer.

Case 1: The objects are the students in a class. There are groups for each official grade students received for the class.

Case 2: The objects are cities. There are groups of cities corresponding to various locations, namely, county (local region), state or province, and country.

Case 3: The objects are the applicants to a college. Each applicant is assigned a score from 0 to 10 indicating the likelihood/desirability of their admission. Even before any decisions have been made, the admissions personnel view the students as belonging to two groups: those that will be accepted and those that will be rejected.

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