Is it just the aggregation of data points? Or is it the representation of data points for different elements in a tabular format arranged with values of the different variables? How is it different from raw data?
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In my experience, "dataset" (or "data set") is an informal term that refers to a collection of data. Generally a dataset contains more than one variable and concerns a single topic; it's likely to concern a single sample.
A mistake I often see writers of Cross Validated questions make is using "dataset" as a synonym for "variable" or "vector".