**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.

- What are the
**percentile ranks**of John’s, Emily’s, Fred’s, and Kate’s scores respectively? - Who performed best in this test?
- 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.

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