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MLA-C01 Practice Question: A data engineer is preparing a dataset for a…

A data engineer is preparing a dataset for a k-means clustering algorithm. The features have different scales: age (18-100), income ($20k-$200k), and number of purchases (0-50). Without scaling, which feature will dominate the distance calculations?

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

✓

Income

Income has the largest range (180,000 compared to 82 and 50), so it will dominate Euclidean distance calculations. Standardization or normalization is needed before clustering.

Answer analysis

Option-by-option breakdown

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

  • ✗

    All features will contribute equally

    Why it's wrong here

    Features with larger numeric ranges produce larger squared differences, so income ($20k-$200k) dominates the Euclidean distance and skews centroid assignment. It is tempting to assume k-means treats all features equally, but without normalisation the algorithm weights whichever feature has the widest raw scale most heavily.

  • ✓

    Income

    Why this is correct

    Euclidean distance sums squared differences, so the feature with the widest numeric range contributes most. Income spans roughly $180k against age's 82 and purchases' 50, making its squared deviations dominate the distance metric and skew cluster assignment.

  • ✗

    Number of purchases

    Why it's wrong here

    Purchases span 0–50, so its contribution to Euclidean distance is far smaller than income's 20,000–200,000 range. It is tempting because purchases are numeric and unscaled, but that suits a dataset where all features share comparable magnitudes, not this one.

  • ✗

    Age

    Why it's wrong here

    Age spans 18–100, giving a range of roughly 82, dwarfed by income's 180,000 spread, so it cannot dominate squared distances. It is tempting because age is unscaled, but that suits features with similar ranges, not this mix.

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