Question

Euclidean distance based k-means clustering algorithm was run on a dataset of 100 points with k = 3. If the points \(\begin{bmatrix} 1 \\ 1 \end{bmatrix}\) and \(\begin{bmatrix} -1 \\ 1 \end{bmatrix}\) are both part of cluster 3, then which ONE of the following points is necessarily also part of cluster 3 ?

• A. \(\begin{bmatrix} 0 \\ 0 \end{bmatrix}\)
• B. \(\begin{bmatrix} 0 \\ 2 \end{bmatrix}\)
• C. \(\begin{bmatrix} 2 \\ 0 \end{bmatrix}\)
• D. \(\begin{bmatrix} 0 \\ 1 \end{bmatrix}\)

Answer 1

The Correct Option is D

The correct option is (D) : \(\begin{bmatrix} 0 \\ 1 \end{bmatrix}\).