Answer to Question #332272 in Statistics and Probability for Shahzad

Question

The larger the standard deviation of a distribution, the more heterogeneous the scores in that distribution. Is this statement true?explain.

Answer 1

It is true. Using $\sigma=\sqrt{\frac{\sum(x-\mu)^2}{n}}$ , when the difference between x and the mean is greater, then $\sigma$ is greater.