Which operation updates a cluster center by averaging all its assigned points?

Which operation updates a cluster center by averaging all its assigned points?

• A. Allocation
• B. Recalculation
• C. Euclidean distance
• D. Initialization

Answer: (B)

The operation that updates a cluster center by averaging all its assigned points is the centroid recomputation step. After points are assigned to a cluster, the center is recalculated as the mean of those points, so the centroid moves to best represent the current members of the cluster. This contrasts with allocation, which assigns points to the nearest center; Euclidean distance, which is the metric used to determine those assignments; and initialization, which sets the starting centers before any updates.

The operation that updates a cluster center by averaging all its assigned points is the centroid recomputation step. After points are assigned to a cluster, the center is recalculated as the mean of those points, so the centroid moves to best represent the current members of the cluster. This contrasts with allocation, which assigns points to the nearest center; Euclidean distance, which is the metric used to determine those assignments; and initialization, which sets the starting centers before any updates.