Use the answers to Exercises 5.6 and 5.7 to modify the answer to Exercise 5.8 to have a mean of 0 and a standard deviation of 1.00.

Exercise 5.6

Create a small data set of about seven scores and demonstrate that adding or subtracting a constant to each score does not change the standard deviation. What happens to the mean when a constant is added or subtracted?

Exercise 5.7

Given the data you created in Exercise 5.6, show that multiplying or dividing by a constant multiplies or divides the standard deviation by that constant. How does this relate to what happens to the mean under similar circumstances?

Exercise 5.8

Using what you have learned from Exercises 5.6 and 5.7, transform the following set of data to a new set with a standard deviation of 1.00.

5 8 3 8 6 9 9 7