One of the most frequently asked questions How does changing the mean and standard deviation affect descriptive and inferential statistics?

had a very interesting answer that made me think

"I think this illustration may be causing some confusion - it is meant to show you what different types of datasets might look like. In actual analysis, one would not “set” the mean or standard deviation, one would find them, based on the dataset.

In descriptive statistics, one would observe the data and calculate the mean and standard deviation, which you could then report. As for inferential statistics, a larger standard deviation means a wider curve - the individual data points are more evenly distributed. The mean is simply the average. What can be inferred depends on what the data describes. Inferential statistics need some background knowledge to draw conclusions from the data.

TL;DR: You wouldn’t normally change the mean and standard deviation yourself. You would find/observe/report them based on the data. The exercise was for demonstration purposes."

this means the question itself might not make sense. because you would not really change the standard deviation or mean, you would always have to calculate them.

still assuming you calculated them wrong, wouldn’t that effect the inferential statistics. since you draw a conclusion basically from what you calculated?

I say this because according to this really great youtuber Descriptive Statistics vs Inferential Statistics

thank you all for taking the time to read