Which of the following is/are true?
I. Multiplying a variable by a positive constant will cause its standard deviation to be multiplied by the square of that constant.
II. Multiplying a variable by a constant will cause its mean to be multiplied by that constant.
III. Adding a constant leaves the mean of a variable unchanged.
IV. Adding a positive constant to a variable causes the standard deviation of the variable to increase by the same amount.
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A. B. C. D. E. F. G. H.C
Adding a constant changes the mean by the same amount and leaves the variance and standard deviation unchanged. Multiplying with a constant causes the mean and the standard deviation to be multiplied by the same constant. The variance gets multiplied by the square of the constant.