In stats classes, I've always learned that a population is always a very broad, almost unquantifiable group (e.g., all voters in a country, all consumers of a company, all viewers of a TV channel), which is why we use samples to estimate population trends.
But in examples where we are able to have all the current information, but there will be more information in the future, do we treat the information we have as a population or sample?
For example, say you're analyzing the results of a game show and trying to estimate how women perform on it vs. men. Say the game show has only been played ~50 times, and we have all the data from it, but more games will be played in the future. Would you be able to treat those 50 games already played as a sample and run statistical tests on them, even though it's technically all of the information for that game that exists? Do the individuals of a population have to be ones that "exist" in the real time, or can you interpret the population in this case as all the iterations of the game show that are "hanging out in the ether" that just haven't been played yet?
Also, if we did treat the first 50 games as a sample, would that violate the sample's ability to be considered "random"?