Age is considered a continuous variable. This is because age can take on any value within a given range and can be measured in finer increments. For example, a person is not just 20 years old; they could be 20 years, 4 months, and 15 days old.
While we often talk about age in whole numbers (like saying someone is 30 years old), in reality, age is a continuous measure that accounts for every moment of time. This allows for more precise calculations and comparisons than a discrete variable, which can only take on distinct values without intermediate possibilities.
In summary, while we may often report age as whole numbers for simplicity, the underlying concept of age itself is continuous.