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  Σ(mii2)    -   n w2
Weighted variance (s2w) =   
n - 1
where:
  • i indicates the ith value of the cluster means,
  • mi indicates the number of units (= weights) in each cluster,
  • is the average cluster size (Σmi/n),
  • n is the number of clusters,
  • w is the weighted mean.