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Prove by contradiction that the average of any set of real numbers {a1,a2,a3,...,an} is greater than or equal to at least one of the numbers.
Prove by contradiction that the average of any set of real numbers {a1,a2,a3,...,an} is greater than or equal to at least one of the numbers. Hint: Assume for contradiction that the average is less than all of the numbers. Use the denition of average.
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