## Question 715:

Asked on May 5, 2009

Tags:
Z-Score

1

## Answer:

No answer provided yet.We can use the formula for the z-score for a datapoint to solve this one. The formula is (datapoint-mean)/standard deviation = z-score. Before we do this, we need to find the z-score for the top 10% by using a table of normal values for 1-sided area. We get the z-score of 1.28. Now we substitute that into our equation to solve for the unknown score.

- (datapoint - 3.0)/.5 = 1.28
- datapoint - 3.0= .640776
- datapoint = 3.640776

So you need to have a minimum GPA of 3.640776 to be considered in the top 10% of your school. Since you have a 3.5 GPA you just miss the cut-off of 3.640776 and you won't be accepted to UT.