Guesstimate: Sizing the UK's Total Inpatient Bed Capacity From Population Need

Quick 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.

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.

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Google
Feb 21, 2025
mediumProduct ManagerOtherProduct / Decision Making
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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.

Clarifying Questions Guidance

  • 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 Guidance

  • 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 Guidance

  • 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?