Q. If the standard deviation of the observation $- 5, - 4, - 3 - 2, - 1,0,1,2,3,4,5$ is $\sqrt{10}$. The standard deviation of observations 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 will be
A) $\sqrt{10} + 20$
B) $\sqrt{10} + 10$
C) $\sqrt{10}$
D)
Explanation
(d)
The new observations are obtained by adding 20 to each. Hence, $\sigma\$does not change.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.