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Unformatted text preview: deviation of a distribution if you . . . adding/subtracting a constant to every score? multiplying/dividing a constant to every score? Transformations of Scale Adding a constant to each score--The Mean is changed (is added by that constant)--The standard deviation is unchanged Multiplying each score by a constant--The Mean is changed (is multiplied by that constant)--Standard Deviation is also changed (is multiplied by that constant) What happens to the SD if adding or multiplying by a constant to each score? SD: added by the constant SD: multiplied by the constant X1 = 41, X2 = 43, Distance between scores = 2 If each score added by 3 New X1 = 41 + 3 = 44, New X2 = 43 + 3 = 46 Distance between new scores = 2 If each score multiplied by 2 New X1 = 41 x 2 = 82, New X2 = 43 x 2 = 86 Distance between new scores = 4 SD is unchanged SD is multiplied by 2 Summary...
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- Spring '07