Epidemiology & Public Health
Basic

Case Fatality Rate

Proportion of diagnosed individuals who die from the disease.

Formula

CFR=DeathsConfirmed Cases×100CFR = \frac{\text{Deaths}}{\text{Confirmed Cases}} \times 100

Variables

CFRCase fatality rate (%)
\text{Deaths}Deaths from the disease
\text{Confirmed Cases}Total diagnosed cases

Example

50 deaths out of 2 500 cases → CFR = 2 %

How it works

The case fatality rate shows what fraction of people who have been diagnosed with a disease die from it. It is calculated by dividing the number of deaths caused by the disease by the number of confirmed cases, then multiplying by 100 to convert the fraction into a percentage. This works because it compares deaths to the total group at risk within the diagnosed cases, giving a simple measure of how severe the disease is in that group.

When to use it

Use this formula when analyzing how deadly a disease is among confirmed patients, such as during an outbreak or for a specific illness in a hospital or region. It is useful in public health reports, outbreak investigations, and comparing severity across diseases or time periods.

Worked example, step by step

Suppose a city reports 18 deaths from a disease among 900 confirmed cases. CFR = (Deaths / Confirmed Cases) × 100 CFR = (18 / 900) × 100 CFR = 0.02 × 100 CFR = 2% So, the case fatality rate is 2%.

Common mistakes to avoid

  • Using all people exposed to the disease instead of only confirmed cases
  • Forgetting to multiply by 100 when reporting the result as a percentage
  • Counting deaths from other causes instead of deaths caused by the disease

Did You Know?

CFR can be misleading during an outbreak because many cases haven't yet resolved — the true rate often differs from early estimates.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026