In Exercise 11.5.17 the instructor divided all the scores by 2 and then subtracted 1 point from each. Suppose a second method is to first subtract 1 from the scores and then divide by 2. 

a. How will the means of the two different methods compare? 

b. How will the standard deviations of the two different methods compare? 

Data from Exercise 11.5.17

A statistics instructor gave a 10-point quiz in which the mean was 8.28 with a standard deviation of 1.58. Suppose the instructor, being a mean ogre, adjusts all the scores by dividing them all by 2 and then subtracting a point from each one. What are the values of the mean and standard deviation of the adjusted scores?