# What is Prevalence in Statistics? (Definition & Example)

In statistics, prevalence is the proportion of individuals in a population who have a specific characteristic at a certain time period.

Researchers typically measure prevalence by taking a random sample of individuals from the population and simply counting how many of the individuals in the sample have the specific characteristic. For example, suppose researchers want to understand the prevalence of disease X in a certain city.

To calculate this, they may collect a random sample of 5,000 individuals from the city and find that 120 of the individuals in the sample have disease X.

The prevalence of disease X would then be calculated as:

• Prevalence = Individuals with disease / Total individuals in sample
• Prevalence = 120 / 5,000
• Prevalence = .024

The researchers would conclude that the prevalence of disease X in this particular city at this point in time is .024 or 2.4%.

Note: It’s important that a random sampling method is used so that a representative sample is obtained. This ensures that the findings from the sample can be extrapolated to the overall population of interest.

## How to Report Prevalence

When reporting prevalence in a formal paper, researchers typically either use a percentage or a number divided by 10,000 or 100,000.

For example, suppose the prevalence of disease X is calculated as .024.

When reporting this value, researchers will write something like:

• The prevalence of disease X is 2.4%.
• Disease X is prevalent in 240 out of 10,000 people.
• Disease X is prevalent in 2,400 out of 100,000 people.

In general, the lower the value for prevalence the higher the denominator for the number of people will be.

For example, suppose the prevalence of disease X is .000031.

Since this number is so tiny, researchers may report this as:

• The prevalence of disease X is 31 out of 1,000,000 people.

This makes the value for the prevalence easier to interpret and understand.

## The Difference Between Prevalence and Incidence

One term that people sometimes confuse with prevalence is incidence.

Incidence refers to the number of new cases of a specific characteristic at a certain time period.

For example, suppose researchers take a random sample of 5,000 individuals in a certain city and find that 90 people have developed disease X in the past year while an additional 30 have been living with disease X for a long time.

We would calculate the incidence as:

• Incidence = Individuals with newly developed disease / Total sample size
• Incidence = 90 / 5,000
• Incidence = .018

The researchers would conclude that the incidence of disease X in this particular city at this point in time is .018 or 1.8%.

However, the prevalence would be calculated as the total proportion of individuals in the sample with disease X, regardless of when they developed the disease.

Thus, the prevalence would be calculated as:

• Prevalence = (Newly developed disease + Existing disease) / Total individuals in sample
• Prevalence = (90 + 30) / 5,000
• Prevalence = .024

The researchers would conclude that the incidence of disease X in this particular city at this point in time is .024 or 2.4%.