Question

Is it true that a smaller standard deviation means the data set tended to cluster around the mean? In the form of a paragraph, explain in complete sentences the reasons that you believe this statement is true or false. Complete your work in the space provided or upload a file that can display math symbols if your work requires i

Answer 1

Yes, the smaller the standard deviation the closer the results are clustered around the mean.

Standard deviations measure the spread of the values in a data set. The more spread out the values, the higher the standard deviation.