Normalization (Statistics) Math Example 3

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Example 3

easy
Country A has 1000 hospital beds; Country B has 5000. Country A's population is 500,000; Country B's is 10,000,000. Calculate beds per 1000 people for each country and compare.

Solution

  1. 1
    Country A: 1000500,000×1000=2\frac{1000}{500,000} \times 1000 = 2 beds per 1000 people
  2. 2
    Country B: 500010,000,000×1000=0.5\frac{5000}{10,000,000} \times 1000 = 0.5 beds per 1000 people
  3. 3
    Country A has 4× more healthcare capacity per person despite having fewer total beds

Answer

Country A: 2 beds/1000 people; Country B: 0.5 beds/1000. Country A has superior per-capita capacity.
Healthcare capacity comparisons require per-capita rates. Country B has 5× more beds but 20× more people, resulting in far less per-person capacity. Raw totals mislead; normalization reveals the true comparison.

About Normalization (Statistics)

Normalization rescales data to a standard range or distribution — such as [0,1][0,1] or zero mean and unit variance — to make different variables comparable.

Learn more about Normalization (Statistics) →

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