Give an example of a set of three items on a straight line for which the K-mean algorithm, with k = 2, would give a different answer for the two clusters depending on the choice of items for the initial clusters.
What will be an ideal response?
One choice for the three items is at distances of 1, 1.9, and 3. If the initial choice of
items is 1 and 1.9, the final clusters are
1 1.9,3
and if the initial choice is 1 and 3, the final clusters are
1,1.9 3
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