Continuous Variable:
A continuous variable is a type of variable that can take any value within a certain range. It can include both whole numbers and fractional values. In other words, a continuous variable can be measured on a continuous scale, such as time, temperature, or weight.

Explanation:
A continuous variable is different from a discrete variable, which can only take on specific values. For example, the number of siblings a person has is a discrete variable because it can only be a whole number (0, 1, 2, etc.). On the other hand, the height of a person is a continuous variable because it can be any value within a certain range (e.g., 5.5 feet, 6.2 feet, etc.).

The characteristic that distinguishes a continuous variable is its ability to take fractional values. This means that a continuous variable can have an infinite number of possible values within its range. For example, if we measure the temperature in degrees Celsius, it can be 20.5°C, 20.51°C, 20.512°C, and so on. There is no limit to the number of decimal places we can use to measure the temperature.

In statistical analysis, continuous variables are often represented as real numbers. They can be measured with great precision and can be compared and analyzed using various mathematical operations. Continuous variables are commonly used in fields such as physics, economics, and biology.

Conclusion:
In summary, a continuous variable is a type of variable that can take fractional values within a specified range. It is different from a discrete variable because it can have an infinite number of possible values. Continuous variables are often represented as real numbers and can be measured with great precision.

A continuous variable can take any possible value, including fractions, within a specified range. Examples include temperature, height, and weight.