Maria and Zoe are taking Biology 105, but are in different classes. Maria’s clas
ID: 3131972 • Letter: M
Question
Maria and Zoe are taking Biology 105, but are in different classes. Maria’s class has an average of 78% with a standard deviation of 5% on the midterm while Zoe’s class has an average of 83% with a standard deviation of 12%.Assume that scores in both classes follow a normal distribution. Convert Maria's midterm score of 84 to a standard z score. Z= 1.2. Convert Zoe’s midterm score of 89 to a standard z score. z=0.5. Compare answers, Who do you think did better relative to their class?
a. Maria
b. Zoe
c. They performed the same
d. cannot determine
Explanation / Answer
Maria has a Z score of 1.2 whereas Zoe has a Z score of 0.5
Which means that there are 88.5% of the class below Maria score and 69.1% of class below Zoe score
If the grading is relative to the class Obviously Maria did better than Zoe