Statistics-And-Probability Question 596

Question: If the standard deviation of the observations $ -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

Options:

A) $ \sqrt{10}+20 $

B) $ \sqrt{10}+10 $

C) $ \sqrt{10} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] The new observations are obtained by adding 20 to each. Hence, $ \sigma $ does not change.