The scores on the Advanced Algebra final exam are approximately normally distributed with a mean of 150 and a standard deviation of 15. What percentage of the students who took the test scored above 180?
To find the percentage of students who scored above 180 on the Advanced Algebra final exam, we need to calculate the z-score for 180 and then find the percentage of scores above that z-score.
First, calculate the z-score:
z = (x - μ) / σ
z = (180 - 150) / 15
z = 2
Next, we find the percentage of scores above a z-score of 2 in a standard normal distribution table, which is approximately 2.28%. This means that approximately 2.28% of the students who took the test scored above 180.