Show that the square of an average is less than or equal to the averageof the squares

Chapter 6, Problem 22

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Show that the square of an average is less than or equal to the averageof the squares. More precisely, show that if a1;:::;an 2 R, then thesquare of the average of a1;:::;an is less than or equal to the averageof a12;:::;an2.

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