Which of the following describes a continuous variable?

A continuous variable is defined as a variable that can take on an infinite number of values within a given range. This means that it can be measured at infinitely fine intervals and can represent any value within that range, including fractions and decimals.

For example, variable such as height, weight, temperature, or time can be measured continuously and can theoretically take on any value. This characteristic distinguishes continuous variables from discrete variables, which only take on distinct, separate values, such as whole numbers.

In understanding the definitions of the other options: A variable limited in its value range describes a discrete variable, while a static variable implies no change over time or measurement, which does not apply to the definition of a continuous variable. Whole numbers are associated with discrete variables rather than continuous ones since continuous variables can take on fractional values.

Therefore, the choice that defines a continuous variable accurately is the one indicating that it can take on an infinite number of values.