Explain Simpson's paradox with an example

Last updated: May 15, 2026

Quick Overview

Explain Simpson's paradox in simple terms and provide a concrete example.

Workday
Statistics & Math
Data Scientist
Workday
May 15, 2026
Data Scientist
Take-home Project
Statistics & Math
Easy

92

4

1,198 solved


Explain Simpson's paradox in simple terms and provide a concrete example.

Statistics questions at Workday test your ability to reason quantitatively and design rigorous experiments. This Take-home Project question evaluates your understanding of statistical inference and its application to business decisions.

What the Interviewer Expects
  • State the correct formula or theorem with clear definitions
  • Apply the concept to the given scenario step by step
  • Interpret the result in plain language
  • Identify assumptions and when they might be violated
Key Topics to Cover
Power analysis and sample size calculation
Confidence intervals and significance levels
Multiple testing correction (Bonferroni, FDR)
Central Limit Theorem
How to Approach This
  1. Define your hypotheses (H0 and H1) clearly before performing any test.
  2. Calculate required sample size BEFORE running an experiment, using power analysis.
  3. Remember the Central Limit Theorem: sample means become approximately normal with large n.
  4. Watch for Simpson's paradox. Always segment data by key dimensions.
  5. Distinguish between statistical significance and practical significance.
Possible Follow-up Questions
  • How would you explain this result to a non-technical audience?
  • How would you handle multiple comparisons?
  • How would you design a follow-up experiment based on these results?
  • What assumptions does this test make, and how would you validate them?
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Sample Answer
Setting Up the Problem

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Solution Approach

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