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The problem with averages is more often than not the type of average being used is not specified.
There can be a vast difference between Mean, Median or Mode.
Central Limits Theorem
What are you trying to say?
The Central Limits Theorem is what establishes the requirements on a dataset to give a statistical analysis efficacy.
In general, it is a true blind sampling paired against a control sampling, both of which contain a population of at least 30. In extreme cases like this, the "30/30" rule would not be sufficient to give the mean analysis efficacy.
If you were me in 2007 learning about statics, you would have been answering test questions like "Cite a condition of the central limits theorem that would invalidate a mean analysis of US Presidents to Felony indictments."
That was a long ass time ago, so if I am messing up fine details, feel free to counter. I'm not digging out all my old text books to re-teach myself. I didn't grow up to be a statistician after all.
I have a masters in math, I know what the theorem is, I just don't see how the phrase "Central Limit Theorem" forms a coherent point in this context. What about the theorem?
It is where you would look to understand why "the average president had 2 felonies" is not a statement that holds efficacy. Maybe.
Congrats on the tuition paid. Maybe should have taken a few more english/lit/humanities courses. Buffed up that critical thinking.
That's not the context. The context is someone pointing out that there are different measures of central tendency that can be referred to as "average." The response was "Central Limit Theorem". Not particularly coherent... especially since the central limit theorem has nothing to do with it.
I didn't pay tuition. I earned a stipend and had my tuition waived like most math grad students. But pop off, dipshit.