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DA0-002 Data Analysis Practice Question

A data analyst uses the elbow method to determine the number of clusters for k-means. The plot shows a sharp bend at k=3 and a small bend at k=5. What is the recommended number of clusters?

Answer choices

Why each option matters

Answer the question above first, then reveal the full breakdown to understand why each option is right or wrong.

Correct answer & explanation

3

The elbow method suggests choosing k where the decrease in inertia becomes marginal; the sharp bend at 3 indicates the optimal k.

Answer analysis

Option-by-option breakdown

For each option: why learners choose it and why it is or isn't the right answer here.

  • 5

    Why it's wrong here

    Small bend may be considered, but 3 is the more pronounced elbow.

  • The method is inconclusive.

    Why it's wrong here

    There is a clear elbow at 3.

  • 2

    Why it's wrong here

    Not indicated by elbow.

  • 3

    Why this is correct

    The sharp bend suggests 3 clusters.

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Written by Johnson Ajibi, MSc IT Security

Senior Network & Security Engineer · founder of Courseiva

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