Statistics And Probability Question 413

Question: The standard deviation of 25 numbers is 40. If each of the numbers is increased by 5, then the new standard deviation will be

[DCE 1995]

Options:

A) 40

B) 45

C) $ 40+\frac{21}{25} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

If each item of a data is increased or decreased by the same constant, the standard deviation of the data remains unchanged.