If we multiply a set of data by a constant, such as converting feet to inches, we will
A) leave the mean and variance unaffected.
B) multiply the mean and the standard deviation by the constant.
C) multiply the mean by the constant but leave the standard deviation unchanged.
D) leave the mean unchanged but alter the standard deviation.

Question

Quizplus · Accepted Answer

When you multiply a set of data by a constant, both the mean and the standard deviation of the dataset are multiplied by that constant. The variance, being the square of the standard deviation, is multiplied by the square of the constant.

If We Multiply a Set of Data by a Constant