Standard Deviation Equation, Formula & Examples
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In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the data set 5,9,10,11,15 (a) Use the defining formula, the computation formula, or a calculator to compute s (b) Multiply each data value by 5 to obtain the new data set 25,45,50,55 75. Compute s (c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c ? (d) You record
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