Guesstimate: Sizing the UK's Total Inpatient Bed Capacity From Population Need
Company: Google
Role: Product Manager
Category: Product / Decision Making
Difficulty: medium
Interview Round: Other
How many hospital beds are there in the United Kingdom? Build an estimate without looking anything up: lay out the structure of your calculation, state each assumption as a round number, work through the arithmetic, and finish by checking whether the result is plausible.
```hint Beds follow overnight stays
A bed exists because someone needs to stay in hospital overnight. Consider how many nights of inpatient care the population needs in a year, and how full a hospital can realistically run.
```
### Clarifying Questions
- Should the count cover only public NHS hospitals in England, Scotland, Wales and Northern Ireland, or private hospitals as well?
- Does "bed" mean overnight inpatient beds only, or should day-case beds, maternity, intensive care and mental-health beds be included?
- Are we counting physical beds, or beds that are staffed and available on a typical day?
- Is a single number wanted, or a range with a sanity check?
### What a Strong Answer Covers
- A definition of what is being counted, agreed before any numbers appear.
- A logical equation, such as population need converted to bed-nights and divided by usable capacity per bed, or a hospital count multiplied by average size.
- Segmentation where it changes the answer, especially by age, since older people are admitted more often and stay longer.
- Clearly labeled round-number assumptions and arithmetic that is easy to follow.
- A sanity check using a second method or a beds-per-1,000-people comparison, plus a note on which assumption the answer is most sensitive to.
### Follow-up Questions
- How would your estimate change in a severe winter flu season, and what does that imply about the occupancy assumption?
- If the government wants shorter waiting lists, would you recommend adding beds or shortening hospital stays? What data would decide it?
- How would you estimate the number of intensive-care beds specifically?
Overview: A guesstimate asking how many hospital beds exist across the United Kingdom. It tests whether a candidate defines what counts as a bed, builds a structured equation from population need or hospital supply, labels round-number assumptions, and sanity-checks the result with a second method.