Estimation question
Estimate the number of gas stations in SF city.
- Estimation
- Easy
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What this question tests
Geographic estimation using area, density, and reasonable ratios.
How to approach it
- Estimate San Francisco's population, roughly 850,000 people, and its land area, about 49 square miles, both commonly known reference figures.
- Assume a typical gas station serves a local radius, roughly one station per 5,000 to 7,000 residents based on general urban density patterns.
- Calculate using the population method: 850,000 divided by 6,000 gives roughly 140 gas stations.
- Cross check with the area method: assume one station roughly every quarter to half mile in a dense city grid, giving a similar order of magnitude.
- Adjust down slightly since San Francisco has unusually high transit use and low car ownership relative to a typical US city.
- State the final estimate as a range, roughly 100 to 150 gas stations.
What a strong answer includes
- Uses two independent methods, population-based and area-based, and checks that they roughly agree, a strong estimation technique.
- Adjusts for the city's specific context, lower car ownership, showing local reasoning rather than a generic formula.
- States assumptions clearly and gives a final range, not a false-precision number.
- Anchors on commonly known reference figures rather than inventing them.
Common mistakes
- Using only one estimation method with no cross check.
- Ignoring the city's atypically low car ownership and high transit use.
- Presenting a single overly precise number.
Likely follow-up questions
- How would you validate this estimate with real data, like a map search?
- How would the answer differ for a suburban city of similar population?
- What would change your estimate of stations per resident?
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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