For epidemiology: compute the crude mortality rate (per 1,000 or 100,000), the cause-specific mortality rate, the case-fatality rate (CFR), the infant mortality rate (IMR) and proportional mortality — with the definitions from the CDC's Principles of Epidemiology.
Numbers computed by this tool's own engine (oracle-verified). Population figures are the CDC's United States 2003 examples; the plague and proportional-mortality rows are illustrative:
| Measure | Result |
|---|---|
| Crude mortality rate | 832.13 deaths per 100,000 population (2,419,921 deaths / 290,809,777 people) |
| Cause-specific rate (accidents) | 37.23 per 100,000 population (108,256 accident deaths / 290,809,777 people) |
| Case-fatality rate (pneumonic plague example) | 83.33% of diagnosed cases (10 deaths / 12 cases) |
| Infant mortality rate | 6.85 per 1,000 live births (28,025 infant deaths / 4,089,950 live births) |
| Proportional mortality (one cause) | 3.85% of all deaths (1,588 / 41,300 deaths) |
Crude and cause-specific examples use the CDC's US 2003 figures (2,419,921 deaths; 290,809,777 estimated population; 108,256 accident deaths). Infant figures: 28,025 infant deaths and 4,089,950 live births, 2003. All values recomputed here with independent Decimal arithmetic.
Crude mortality rate = deaths / mid-interval population × 1,000 (or 100,000) — the mortality rate from all causes of death for a population.
Cause-specific mortality rate = deaths from that cause / mid-interval population × 100,000 — the numerator is deaths attributed to one specific cause; the denominator stays the whole population.
Case-fatality rate (death-to-case ratio) = deaths / diagnosed cases × 100 — the share of ill people who die; a measure of lethality, not of population mortality.
Infant mortality rate = deaths under age 1 / live births × 1,000 — note the denominator is live births, not the population; the CDC notes it is technically a ratio, not a rate.
Proportional mortality = deaths from one cause / deaths from all causes × 100 — shows the relative importance of a cause; it is NOT a measure of the risk of dying from that cause.
| Measure | Numerator | Denominator | × multiplier |
|---|---|---|---|
| Crude mortality rate | All deaths in the interval | Mid-interval population | 1,000 or 100,000 |
| Cause-specific mortality rate | Deaths from that cause | Mid-interval population | 100,000 |
| Case-fatality rate | Deaths from the disease | Diagnosed cases of the disease | 100 (%) |
| Infant mortality rate | Deaths under age 1 | Live births | 1,000 |
| Proportional mortality | Deaths from one cause | Deaths from all causes | 100 (%) |
Summary of CDC Table 3.4, "Frequently Used Measures of Mortality".
Mortality rate = deaths during a given time period / size of the population among which the deaths occurred x multiplier. The CDC (Principles of Epidemiology, Lesson 3, Table 3.4) gives the crude mortality rate as (total deaths / mid-interval population) x 1,000 or x 100,000. For example, 2,419,921 deaths in a population of 290,809,777 gives 832.13 deaths per 100,000 population.
Their denominators are different. The mortality rate divides deaths by the population, so it measures how often death occurs in the population. The case-fatality rate divides deaths by diagnosed cases of the disease (x 100), so it measures lethality among the ill. A disease can have a low mortality rate (few deaths in the population) but a high CFR (most people who get it die).
Incidence counts NEW CASES per person-time at risk; mortality counts DEATHS per population. Incidence measures how fast a disease is occurring; mortality measures how often death occurs. See the Incidence Rate Calculator for the person-time rate, cumulative incidence and rate ratios.
Crude mortality uses all deaths over the whole population (per 1,000 or 100,000). Cause-specific mortality narrows the numerator to deaths from one cause, still over the whole population (usually per 100,000). Proportional mortality divides deaths from one cause by deaths from ALL causes (x 100) — it shows the relative importance of a cause, not the risk of dying from it.
The CDC uses both 1,000 and 100,000 for most mortality measures; cause-specific rates are usually reported per 100,000. The multiplier only rescales the number for readability — 8.32 per 1,000 = 832 per 100,000. State the multiplier you used so readers can compare.
No — a CFR above 100% is impossible and signals a data problem: more deaths than diagnosed cases. Usually the deaths were counted from a larger or different group than the cases (for example, deaths that include earlier outbreaks divided by this week's cases). This calculator rejects deaths > cases and asks you to check the inputs.
The infant mortality rate = deaths among children under age 1 / number of live births x 1,000, usually per year. The CDC notes it is technically a ratio rather than a rate, because some of the deaths in the numerator occurred among children born the previous year, who are not in the denominator. It is widely used to compare health status between populations.
Only with caution. Crude rates reflect the population's age structure: a country with an older population will have a higher crude mortality rate even with the same health conditions. The CDC illustrates this with Alaska vs Florida — use age-specific or age-adjusted rates for fair comparisons.
Strictly speaking this is a case-fatality rate: among diagnosed cases, what share died. For example, 10 deaths among 12 diagnosed pneumonic plague cases gives a CFR of 10 / 12 x 100 = 83.33%. The WHO notes pneumonic plague is almost always fatal when left untreated, while bubonic plague has a CFR of 30% to 60% untreated — antibiotics are effective when given early. These figures describe lethality among the ill, not the death rate in the general population.
No. It is an educational calculator for standard epidemiologic measures of mortality in populations, using the definitions from the CDC's Principles of Epidemiology. It does not diagnose, predict any individual's outcome, or replace professional epidemiologic analysis.
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