The standard deviation of the numbers 3 8 12 17 and 25 is 75

The standard deviation of the numbers 3, 8, 12, 17 and 25 is 7.56 correct to 2 decimal places. What happens if each of the five numbers is increased by 2.

Solution

Note that

s(x+c) = s(x)

Thus, adding a constant to the observations have no effect on the standard deviation.

Thus, after adding 2 to each number,the standard deviation will still be 7.56. [ANSWER]