Last week Mrs. Hudson gave a math exam to the 17 students in her class. This table shows the scores her students earned on the exam: Student Score Anna 98 Ben 95 Carrie 92 David 82 Eddie 75 Fiona 95 Greg 92 Holly 30 Isabella 87 Jack 84 Kayla 94 Lance 73 Madison 92 Natalie 77 Olivia 80 Paul 90 Quentin 75 One of these test scores is an outlier. Whose score is it? Show calculations to demonstrate that the score is an outlier. First, answer all of these questions for the entire data set WITH THE OUTLIER INCLUDED: What is the mean of the data set? What is the median of the data set? Draw a box plot of the data set: Now REMOVE THE OUTLIER FROM THE DATA SET and answer the questions: What is the mean of the data set? What is the median of the data set? Draw a box plot of the data set: How did removing the outlier affect the median? How did it affect the mean? Which measure of center was most affected by the outlier? Which measure of center do you feel gives a more accurate representation of the “typical” student’s performance? Write a paragraph addressing these questions. Be sure to use at least three of your vocabulary words in your paragraph.