Question

If each observation of a dist. whose S.D. is $\sigma ,$ is increased by $\lambda ,$ then the variance of the new observations is

• A. $\sigma$
• B. $\sigma +\lambda$
• C. ${\sigma }^2$
• D. ${\sigma }^2+\lambda$

Answer 1

Answer: (C)

${\sigma }^2$

We know Variance of any distribution is independent of change of origin and hence S.D.
Hence variance of new dist. is ${\sigma }^2$