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

The property of the standard deviation is that multiplying each score by the same constant will change the standard deviation by that constant. This is known as the scaling property of the standard deviation. Option A is incorrect because the standard deviation can never be negative. Option B is incorrect because the standard deviation is used to describe quantitative variables, not qualitative variables. Option D is incorrect because adding the same constant to each score will not change the standard deviation.

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

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