What can be said about the relationship between variability in a data set, and the standard deviation?

Question

Quizplus · Accepted Answer

The standard deviation measures how spread out the data is from the mean. Therefore, a larger standard deviation indicates that there is a greater degree of variability in the data set. Option A is incorrect as high variability will result in a larger standard deviation. Option B is also incorrect as the standard deviation is a measure of variability in the data set. Option D is incorrect as the standard deviation remains constant regardless of the variability in the data set.

What Can Be Said About the Relationship Between Variability in a Data