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A random variable $X$ is called continuous if its set of possible values is uncountable, and the chance that it takes any particular value is zero ($\text{P}(X = x) = 0$ for every real number $x$). A random variable is continuous if and only if its cumulative probability distribution function is a continuous function.

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How to detect categorical data masquerading as continuous?

@whuber makes the correct explanation for this question. The data are categorical, discrete or continuous depending on your construction of the probability space, i.e. they are a modelling choice. For …
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