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Consider the following : A. The algebraic sum of deviation of a set of values when taken from their…

Only the zero sum of deviations from the arithmetic mean is correct, (1). The sum of squared deviations is minimized, rather than maximized, at the arithmetic mean.

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Consider the following :
A. The algebraic sum of deviation of a set of values when taken from their arithmetic mean is zero.
B. The sum of squares of the deviations of a set of values is maximum when taken about the arithmetic mean.

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Answer and explanation

Correct answer A

Only the zero sum of deviations from the arithmetic mean is correct, (1). The sum of squared deviations is minimized, rather than maximized, at the arithmetic mean.

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