Which of the following is a discrete data random variable? The volume of water in a swimming pool each day Cars finished in a factory each day A person's height each birthday A person's weight on each year
Question
Which of the following is a discrete data random variable? The volume of water in a swimming pool each day Cars finished in a factory each day A person's height each birthday A person's weight on each year
Solution
The discrete data random variable among the options given is "Cars finished in a factory each day".
Here's why:
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Discrete data can only take particular values. For example, the number of students in a class, the number of cars in a parking lot, etc. These values are countable.
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"The volume of water in a swimming pool each day" is not discrete because volume is a continuous measurement. It can take on any value within a certain range, not just whole numbers.
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"A person's height each birthday" is also not discrete for the same reason. Height is a continuous measurement.
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"A person's weight on each year" is also not discrete. Weight is a continuous measurement.
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"Cars finished in a factory each day" is discrete because you can count the number of cars. It can't be a fraction or a decimal, it has to be a whole number. Therefore, this is a discrete data random variable.
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