A group of Widener students took the math101 midterm test, the mean score is 40, and standard deviation is 8. John’s Z score is -.50, Emily’s Z score is 0, Fred’s  Z score is 0.25, and Kate’s Z score is 1.25.

Question 1: (You need to use Table A.1 , attached with the question)

 A group of Widener students took the math101 midterm test, the mean score is 40, and standard deviation is 8.

John’s Z score is -.50, Emily’s Z score is 0, Fred’s  Z score is 0.25, and Kate’s Z score is 1.25.

1. What are the percentile ranks of John’s, Emily’s, Fred’s, and Kate’s scores respectively?
2. Who performed best in this test?
3. Except for mean score, why it is also important to know the standard deviation to understand each individual score?

Question 2: You need to use Table A.1, attached with the question)

Assume that a set of 300 scores in normally distributed with a mean of 60 and a standard deviation (SD) of 20

• What are the Z scores corresponding to the raw scores of 100, 60, and 45?
• How many scores lies between 45 and 100?
• How many scores exceed the score of 100?
• How many scores are less than the score of 45?
• Find the percentile ranks of the score of 100, 60, and 45.