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Given the dataset: $(1,1),(3,3),(4,4),(5,5),(6,6),(9,9),(0,3),(3,0)$ and assuming the initial centroids for ( $K=3$ - means clustering) to be $C_1=$ $(3,3), C_2=(5,5)$ and $C_3=(6,6)$. One iteration of the Expectation Maximization Algorithm for K-means clustering, will update $C_3$ to ?

 

  1. $(15,15)$
  2. $(7.5,7.5)$
  3. $(6,6)$
  4. $(9,9)$

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