Estimation question
How would you go about finding out the number of red cars in China?
- Estimation
- Medium
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What this question tests
Estimation methodology combined with data-gathering strategy, since the question asks how you would find out, not just for a number.
How to approach it
- Clarify the two interpretations: estimate the number directly, or describe a data collection methodology, and address both.
- For estimation, start with China's total vehicle count, roughly 300 million registered vehicles, a commonly cited order-of-magnitude figure.
- Assume the share of cars that are red, based on general color popularity data, roughly 5 to 8 percent of cars globally.
- Calculate: 300 million times 6 percent gives roughly 18 million red cars.
- For methodology, describe validating this via sampling traffic camera or dealership sales data across regions.
- State the final estimate as a range, roughly 15 to 20 million, noting regional variation in color popularity.
What a strong answer includes
- Explicitly addresses the how-would-you-find-out framing with both an estimate and a real data-gathering method.
- Uses a defensible color-share assumption grounded in general automotive color trend data.
- Proposes traffic camera or dealership sales sampling as a genuinely feasible validation method.
- States the final range with an explicit uncertainty caveat about regional color preference variation.
Common mistakes
- Answering only with a number and ignoring the methodology angle of the question.
- Using an unfounded color-share assumption with no reasoning.
- Not acknowledging regional variation in car color preference.
Likely follow-up questions
- What data source would you trust most for validating the color-share assumption?
- How would you adjust for newer versus older vehicles having different color popularity?
- How confident are you in the total vehicle count assumption?
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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