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Suppose you have a sample S = {x1, x2, ..., xn}, and further suppose that your boss, for reasons that reason cannot fathom, asks you

Suppose you have a sample S = {x1, x2, ..., xn}, and further suppose that your boss, for reasons that reason cannot fathom, asks you to add his favorite number, call it f, to each observation. What happens to the standard deviation

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