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If you add the same constant to each element of a sample then the mean of this collection of values will be the mean of the original sample plus the constant.

If you multiply each element of a sample by a constant then the mean of this collection of values will be the mean of the original sample multiplied by the constant.

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Q: How does the addition of a constant and multiplication by a constant affect the arithmetic mean?
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Related questions

Definition of commutative property?

The order in which the addends (in addition) or multiplicands (in multiplication) does not affect the answer. If symbolic form: a + b = b + a or a * b = b * a


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