Resolved: Confused of what does continuous mean
It's said that the continuous distribution is a one with a sequence of infinitely many
So does that mean we cant have a dataset for such a distribution because its infinite? If so then for example the state of the central limit theorem that the sampling distribution of the means would approximate a normal distribution. Those sampling means are finite! So I dont understand the part of infinite values
When we say that a continuous distribution has a sequence of infinitely many consecutive values, we mean that between any two values, no matter how close, there are an infinite number of other values. Think of the real number line: between 0 and 1, there's 0.5, 0.25, 0.75, 0.125, and so on. You can keep "zooming in" and finding more values.
Hope this make sense!