Estimation question
How many X-Rays are done in the World in a Year?
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What this question tests
Estimation using population health data and typical medical imaging frequency across countries.
How to approach it
- Pick a method: top-down from world population and average X-ray frequency per person per year.
- Segment by country income level, since developed countries have far higher access to imaging than low income countries.
- Assume a rough split: roughly 20 percent of world population in high access regions averaging 0.5 X-rays a year, and the rest averaging much lower, closer to 0.1.
- Include dental X-rays as a large separate contributor, since they are far more frequent than medical imaging X-rays.
- Multiply each segment's population by its assumed frequency and sum for a global total.
- State the result as an order of magnitude, likely in the low billions annually, not a precise figure.
What a strong answer includes
- Segments the world population by healthcare access level rather than applying one global average.
- Separately accounts for dental X-rays, which are far more common than diagnostic medical X-rays and easy to overlook.
- States clear numeric assumptions for each segment's frequency, marked openly as estimates.
- Lands on an order of magnitude, low billions per year, with the reasoning visible.
Common mistakes
- Applying a single developed-world frequency assumption to the entire global population.
- Forgetting dental and veterinary X-rays, which are a large share of total imaging.
Likely follow-up questions
- How would low income countries change this estimate significantly?
- What data would you look for to sanity check this number?
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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