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Non-parametric density-based approach assumes that the density around a normal data observation within a cluster (relatively big) is similar to the density around its neighbours,

Non-parametric density-based approach assumes that the density around a normal data observation within a cluster (relatively big) is similar to the density around its neighbours, and the density around an outlier (relatively small) is considerably different to the density around its neighbours. If we had the density of observation within a cluster smaller than the density around an outlier, please explain why we would have such a situation. And please provide a solution to this problem.

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