Continuous vs. Discrete Random Variables

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What is a discrete random variable?

Back

A discrete random variable is a type of variable that can take on a countable number of distinct values. Examples include the number of students in a class or the number of heads when flipping a coin.

Front

What is a continuous random variable?

Back

A continuous random variable is a type of variable that can take on an infinite number of values within a given range. Examples include height, weight, and time.

Front

Identify whether the following is discrete or continuous: Rotating a spinner that has 4 equally divided parts: blue, green, yellow, and red.

Back

Discrete Random Variable

Front

Identify whether the following is discrete or continuous: Recording the number of times each student goes to the bathroom in each school day.

Back

Discrete Random Variable

Front

Identify whether the following is discrete or continuous: The time it takes for a car battery to die.

Back

Continuous Random Variable

Front

Identify whether the following is discrete or continuous: Collecting data about the mileage per liter of a certain brand and model of a car.

Back

Continuous Random Variable

Front

Identify whether the following is discrete or continuous: The number of orange Skittles in a bag.

Back

Discrete Random Variable

Front

What is an example of a situation that involves a discrete random variable?

Back

Counting the number of cars in a parking lot.

Front

What is an example of a situation that involves a continuous random variable?

Back

Measuring the temperature in a room.

Front

How can you determine if a variable is discrete or continuous?

Back

If the variable can only take specific values (like counts), it is discrete. If it can take any value within a range (like measurements), it is continuous.