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Analyze Comment Distribution Using Statistical Metrics and Tests

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This interview question evaluates metric design, causal reasoning, experiment setup, diagnostics, SQL/statistical checks, and recommendations in a realistic interview setting. A strong answer for Analyze Comment Distribution Using Statistical Metrics and Tests states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

Scenario

You are analysing comment activity on a social media app to understand whether engagement is evenly spread across posts or dominated by a few viral ones.

Question

How would you quantitatively evaluate the distribution of comments per post? Which metrics or statistical tests would you choose, why, and what hypotheses would you formulate?

Hints

Consider Gini, Lorenz curve, power-law fit, chi-square or KS tests versus theoretical distribution.