Refer to Exercise 13 in Lesson 4.6. The original data is shown at right. Instead of adding the same number to each score, one of the judges suggests that perhaps they should multiply the original scores by a factor that makes the highest score equal 100. They decide to try this method.
a. By what factor should they multiply the highest score, 94, to get 100?
b. What are the mean and the standard deviation of the original ratings? Of the altered ratings?
c. Let x represent the exhibit number, and let y represent the rating. Plot the original and altered ratings on the same graph. Describe what happened to the ratings visually. How does this explain what happened to the mean and the standard deviation?
d. Which method do you think the judges should use? Explain your reasoning.

Exhibit Exhibit number Ratingnumber Rating 81 12 13 14 15 16 17 18 19 20 83 10