Answer to Question #129605 in Statistics and Probability for Zuga

Question

The smaller the viriance, the closer the individual scores are to the mean. Is this statement true or false?

Answer 1

Answer : True

Explanation:A large variance indicates that numbers in the set are far from the mean and from each other, while a small variance indicates the opposite.From the formula for variance

Variance = $\frac{\Sigma(xi-mean)^2}{n}$ , variance is directly proportional to distance of scoresfrom the mean. Hence smaller the variance indicates the closer the individual scores are to the mean.