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Clustering is a technique to group the data objects in such a way that the data objects of a group are similar to each other in that group and dissimilar to the data objects of other groups. It is being performed for the diverse purpose such as statistical data analysis and exploratory data mining. This algorithm is applied based on the data object types, the complexity of the algorithm, and appropriateness for a specific grouping. The list of cluster algorithm includes possibly more than one hundred published clustering algorithms but most of them do not provide models for cluster. In this paper, we analyze the complexity of the mostly used clustering algorithms.