The average of x numbers is y^{2} and the average of y numbers is x^{2}. So the average of all the numbers taken together is:
[A] xy
[B] xy^{2}+yx^{2}
[C] \frac{x^{2}+y^{2}}{x+y}
[D] \frac{x^{3}+y^{3}}{x+y}

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