The standard deviations of 25 numbers is 40. If each of the numbers is increased by 5, then find the new standard deviation.

Question

The standard deviations of 25 numbers is 40. If each of the numbers is increased by 5, then find the new standard deviation. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

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.
Therefore, the standard deviation of

25

numbers is

40

.

Q. The standard deviations of 25 numbers is 40. If each of the numbers is increased by 5, then find the new standard deviation.

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. Therefore, the standard deviation of 25 numbers is 40 .

Q. The standard deviations of $25$ numbers is $40.$ If each of the numbers is increased by $5,$ then find the new standard deviation.

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.
Therefore, the standard deviation of $25$ numbers is $40$ .