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Word Length Average Analysis of Federalist Papers Passage: AP Statistics

The actual word length average of the Passage is 4.9.

Average when the STUDENTS choose the 5 words=6.32
Average when the CALCULATOR chooses the 5 words=4.86

Which sampling technique is acceptable and why?

Notice the accuracy of the true S.R.S.
Notice the spread of the graphs as well. Guess which one has a smaller standard deviation.