Discrete vs Continuous Statistics

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What is a Discrete Random Variable?

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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 siblings in a family.

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What is a Continuous Random Variable?

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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.

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Example of a Discrete Random Variable: Number of siblings in a family.

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Discrete Random Variable: The number of siblings can only be whole numbers (0, 1, 2, etc.).

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Example of a Continuous Random Variable: Weight of newborns.

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Continuous Random Variable: Weight can take any value within a range and can include decimals (e.g., 3.5 kg, 3.75 kg).

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Is the amount of sugar in a cup of coffee a discrete or continuous variable?

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Continuous Random Variable: The amount of sugar can vary and can be measured in fractions.

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Is the time needed to finish a test a discrete or continuous variable?

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Continuous Random Variable: Time can be measured in hours, minutes, and seconds, allowing for infinite values.

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Is the number of dropouts in a school district a discrete or continuous variable?

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Discrete Random Variable: The number of dropouts is countable and can only be whole numbers.

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What is the difference between discrete and continuous variables?

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Discrete variables are countable and take distinct values, while continuous variables can take any value within a range.

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Can a variable be both discrete and continuous?

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No, a variable is either discrete or continuous based on its nature of values.

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Example of a situation with a Continuous Random Variable: Measuring temperature.

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Continuous Random Variable: Temperature can be measured in degrees and can take any value within a range.