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

Question

Quizplus · Accepted Answer

Adding a constant to each score in a data set does not change the standard deviation, as it does not affect the spread of the data. However, multiplying each score by a constant will scale the standard deviation by that constant, affecting the spread of the data.

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

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