One k-means assignment and update

Problem

For one-dimensional points $\{0,2,8,10\}$ and initial centers $0$ and $10$ , perform one assignment and center-update step. Give the new centers and the within-cluster sum of squared distances after the update.

Reveal answer or reference solution

The clusters are $\{0,2\}$ and $\{8,10\}$ ; the new centers are $1$ and $9$ . The objective is

$1+1+1+1=4.$

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Appears in

Machine Learning Diagnostic
Unsupervised Learning Practice