Estimation question

Estimate the number of hospital beds in the UK.

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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

  1. State the UK population, approximately 67 million, as the starting anchor, marked as an assumption if recalled approximately.
  2. 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.
  3. Multiply population by the beds-per-1,000 ratio to get a total estimate.
  4. Sanity check the result against known scale, the UK has a large public healthcare system, so tens of thousands of beds is plausible.
  5. State the final estimate clearly, e.g. roughly 150,000 to 200,000 beds, with the ratio and population both flagged as assumptions.
  6. Note what real data source, e.g. NHS statistics, would be used to verify this in practice.

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