Answer to Question #316200 in Statistics and Probability for Moo

Question

Given that the variance is Q, determine the standard deviation in terms of Q.

a) 0.5Q

b) 2Q

c) Q

d) Q2

Answer 1

a) $\sigma^2=0.5Q \to\sigma =\sqrt{0.5Q}\approx 0.71\sqrt{Q}.$

b) $\sigma^2=2Q \to\sigma =\sqrt{2Q}\approx 1.41\sqrt{Q}.$

c) $\sigma^2=Q \to\sigma =\sqrt{Q}.$

d) $\sigma^2=Q^2 \to\sigma =\sqrt{Q^2}=Q.$