Some examples of continuous random variables are: The computer time (in seconds) required to process a certain program. The time in which poultry will gain 1.5 kg. Continuous variable definition | continuous quantitative variable | continuous random variable example | is money discrete or continuous | types of continuous variables | continuous and discontinuous variables in research | is age discrete or continuous | types of discrete variables. The heat gained by a ceiling fan when it has worked for one hour. A continuous variable is one which can take on an uncountable set of values.. For example, a variable over a non-empty range of the real numbers is continuous, if it can take on any value in that range. Continuous Variable. Continuous variable. Continuous. On the other hand, quantitative continuous variables are variables for which the values are not countable and have an infinite number of possibilities.For example: Age; Weight; Height; For simplicity, we usually referred to years, kilograms (or pounds) and centimeters (or feet and inches) for age, weight and height respectively. Anything that can be measured with arbitrary accuracy. Probability Density Function. Time, distance from point A to point B, human height, weight. The amount of rain falling in a certain city. Examples of Continuous Random Variables Example 1- A random variable that measures the time taken in completing a job, is continuous random variable, since there are infinite number of times (different times) to finish that job. You must also know the following topics. Continuous variables can have an infinite number of different values between two given points. The seconds hand on a clock is in continuous motion. The amount of water passing through a pipe connected with a high level reservoir. Suppose the fire department mandates that all fire fighters must weigh between 150 and 250 pounds. Note that the interpretation of each is the same as in the discrete setting, but we now have a different method of calculating them in the continuous setting. In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample. Example 2 - Noise voltage that is generated by an electronic amplifier has a continuous amplitude. If a variable can take on any value between its minimum value and its maximum value, it is called a continuous variable; otherwise, it is called a discrete variable.. 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