Which of the following is a property of the standard deviation?
A)The standard deviation varies between - $\infty$ and + .
B)The standard deviation is used to describe qualitative variables.
C)Multiplying each score times the same constant will change the standard deviation by that constant.
D)Adding the same constant to each score will change the standard deviation by that constant.

Question

Which of the following is a property of the standard deviation?
A)The standard deviation varies between - $\infty$ and + . 
B)The standard deviation is used to describe qualitative variables. 
C)Multiplying each score times the same constant will change the standard deviation by that constant. 
D)Adding the same constant to each score will change the standard deviation by that constant.

Quizplus · Accepted Answer

Multiplying each score by the same constant will change the spread of the data, but the relative position of each score will remain the same. Therefore, the standard deviation will also be affected by the same constant. Option A is incorrect as the standard deviation can take any positive value and is not limited to a range between positive and negative values. Option B is incorrect as the standard deviation is used to describe quantitative variables. Option D is incorrect as adding a constant to each score will affect the spread of the data, but the relative position of each score will remain the same, and therefore, the standard deviation will not change by that constant.

Which of the Following Is a Property of the Standard ∞\infty∞

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