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

• A. 40
• B. 45
• C. $40+\frac{21}{25}$
• D. None of these

Answer 1

Answer: (A)

40

Because we know that if each term of data is either increased or decreased by the same constant number then the standard deviation of the data is remains unchanged$.$ And in question its already given that the standard deviation of $25$ numbers is $40.$

Hence,

option $\left(A\right)$ is correct answer.