Question

If we multiply or divide the elements of a data set by a constant amount, What will happen to the standard deviation?

A) It remains the same.
B) It increases.
C) It decreases.
D) It becomes negative.

Answer 1

When you multiply or divide the elements of a data set by a constant amount, the standard deviation also gets multiplied or divided by the same constant.

Step-by-step explanation:

When you multiply or divide the elements of a data set by a constant amount, the standard deviation also gets multiplied or divided by the same constant.

If you multiply the elements by a constant, the standard deviation will increase by that constant. For example, if you multiply each element by 2, the standard deviation will also get multiplied by 2.

If you divide the elements by a constant, the standard deviation will decrease by that constant. For example, if you divide each element by 5, the standard deviation will also get divided by 5.