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If the deviations from the arithmetic mean `y` of the variables `y_1`,`y_2` and `y_3` be `x_1`,`x_2`and `x_3`respectively, then prove that `x_1^2+x_2^2+x_3^2=y_1^2+y_2^2+y_3^2-3bary^2`

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