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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 multiply each observation by a fudge factor f. What happens to the variance? Let V = variance(S) and W = variance( {x1f, x2f, ..., xnf} )

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