Why does K-Means struggle with categorical data?

Updated May 16, 2026

Short answer

K-Means relies on Euclidean distance, which is not meaningful for categorical variables.

Deep explanation

Categorical data lacks a natural ordering or numeric distance. Using Euclidean distance on encoded categories introduces artificial geometry, leading to incorrect centroid calculations and misleading clusters.

Real-world example

Clustering users by country or device type incorrectly.

Common mistakes

  • Applying K-Means directly on label-encoded categories.

Follow-up questions

  • What algorithms handle categorical data?
  • Why is one-hot encoding not enough?

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