Estimation question
How many windows are there in New York City?
Practice this question out loud. An AI interviewer asks it, follows up like a real interviewer would, and scores your answer. Type or speak.
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What this question tests
Structured Fermi estimation and clean assumption-stating, splitting the problem into defensible pieces.
How to approach it
- State you'll estimate residential and commercial windows separately.
- Estimate NYC population at roughly 8.5 million and household size at roughly 2.5, giving about 3.4 million households.
- Assume an average of about 6 windows per household for residential.
- Separately estimate commercial buildings using building count times average floors times windows per floor.
- Sum both categories and sanity-check the order of magnitude.
- State the final number as a range, not a single overprecise figure.
What a strong answer includes
- States each assumption explicitly and clearly labels them as assumptions, not facts.
- Splits residential from commercial buildings, since window density differs hugely, e.g. glass office towers.
- Uses round, defensible numbers rather than false precision.
- Sanity-checks the final order of magnitude against something known, like NYC's total building count.
Common mistakes
- Giving a single guessed number with no visible math.
- Forgetting commercial and office buildings, which have very different window density than homes.
Likely follow-up questions
- How would your estimate change for high-rise-heavy Manhattan versus the outer boroughs?
- What's the biggest source of error in your estimate?
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Learn the skill behind it
Chapters of the AI PM course that teach what this question tests.
- Chapter 2: Data fluency: SQL, logs, and reading the truth yourself
- Chapter 9: Prove it paid off: outcomes, economics, and pricing
- Chapter 14: Get the job: the AI PM interview loop