Estimation question
How many police stations are there in the US?
- Estimation
- Easy
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What this question tests
Basic structured estimation: deriving a national facility count from population and jurisdiction size assumptions.
How to approach it
- Clarify whether to count only municipal police stations or include county sheriff and state police offices.
- Estimate the US population, roughly 330 million.
- Estimate an average population served per police station, for example 10,000 to 20,000 people.
- Divide population by that figure to get an estimated station count.
- Sanity check against the number of US cities and counties, since most jurisdictions have at least one station.
What a strong answer includes
- States the population per station assumption clearly and explains why it varies between dense cities and rural counties.
- Lands on a range, for example 15,000 to 20,000 stations, rather than one falsely precise figure.
- Cross checks the number against roughly 3,000 US counties and thousands of incorporated cities, each likely to have at least one station.
Common mistakes
- Ignoring rural versus urban density differences and using one flat ratio nationwide.
- Not cross checking against a second method, like counting by county.
Likely follow-up questions
- How would your estimate change if you only counted major city departments?
- What data source would you use to verify this?
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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