The mean lets us know the approximate 'number per attempts'; it can help predict the number we expect for, say, a sports game or other statistics. It also enables us to predict the probability that something will have a particular value or will happen at a particular time.
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Examples of the purpose of closure in math
What does length mean in math
Communitive means of, or belonging to, a community. It has no meaning in math. Communative does not mean anything - in math or elsewhere.
the mean is the average
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