Estimation question
Estimate the number of hospital beds in the UK.
- Estimation
- Easy
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What this question tests
Estimation using population data and known healthcare ratios to reach a defensible order-of-magnitude number.
How to approach it
- State the UK population, approximately 67 million, as the starting anchor, marked as an assumption if recalled approximately.
- Recall or estimate hospital beds per 1,000 people, a commonly cited healthcare capacity ratio, roughly 2 to 3 per 1,000 for developed countries.
- Multiply population by the beds-per-1,000 ratio to get a total estimate.
- Sanity check the result against known scale, the UK has a large public healthcare system, so tens of thousands of beds is plausible.
- State the final estimate clearly, e.g. roughly 150,000 to 200,000 beds, with the ratio and population both flagged as assumptions.
- Note what real data source, e.g. NHS statistics, would be used to verify this in practice.
What a strong answer includes
- Shows the full calculation, population times beds-per-1,000, rather than just stating a memorized number.
- Clearly labels every input as an assumption, population figure and bed ratio, so the interviewer can follow the logic.
- Sanity checks the result against general knowledge of the UK's healthcare system scale.
- Arrives at a specific numeric range rather than a vague 'a lot' answer.
Common mistakes
- Stating a number with no visible reasoning or calculation.
- Not flagging the population or ratio as assumptions.
- Skipping a sanity check against plausibility.
Likely follow-up questions
- How would this estimate change during a public health crisis.
- What data would you use to verify this number in the real world.
- How does this compare to bed counts in other countries.
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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