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.