Explain Central Limit Theorem with an example
Last updated: March 1, 2026
Quick Overview
Explain Central Limit Theorem in simple terms and provide a concrete example.
Waymo
March 1, 202610
5
2,833 solved
Explain Central Limit Theorem in simple terms and provide a concrete example.
This statistics question from Waymo's Onsite tests your ability to apply mathematical reasoning to practical problems. The interviewer expects precise definitions, correct methodology, and awareness of assumptions and limitations.
What the Interviewer Expects
- Set up the problem formally with proper notation
- Apply the correct statistical test with clear justification
- Interpret results with appropriate caveats and confidence levels
- Discuss practical significance vs statistical significance
- Identify potential confounders and how to address them
Key Topics to Cover
How to Approach This
- Define your hypotheses (H0 and H1) clearly before performing any test.
- Calculate required sample size BEFORE running an experiment, using power analysis.
- Remember the Central Limit Theorem: sample means become approximately normal with large n.
- Watch for Simpson's paradox. Always segment data by key dimensions.
- Distinguish between statistical significance and practical significance.
Possible Follow-up Questions
- How would you design a follow-up experiment based on these results?
- What alternative statistical method could you use here?
- How would you explain this result to a non-technical audience?
- What assumptions does this test make, and how would you validate them?
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