What is 2D dataset with two real groups of data where an agglomerative clustering method will be able to cluster the data correctly, and K-means will not?

I thought about a data set that would look like the figure below, but still I can't think of any real world features that would graph such a data set. enter image description here

  • $\begingroup$ the term "real" is misleading. In a world where increasingly digtal data are gathered almost all data can be pointed to some real digital scenario $\endgroup$
    – Nikos M.
    Oct 14 '21 at 16:59

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