Suppose that a college admissions office needs to compare scores of students who take the Scholastic Aptitude test(SAT) wit those who take the american college test (ACT). Suppose that among the college's applicants who take the SAT, scores have a mean of 896, and a standard deviation of 174. Further suppose that among the college's applicants who take ACT score have a mean of 20.6 and standard deviation of 5.2

My question is If applicant Bobby scored 1080 on SAT , how many points above the SAT mean did he score?

i just don't understand how to do it

I think i misunderstood the question.. is it just 1080 - 896

Yes, from the wording I would draw the same conclusion.

A more interesting question would have been:
What score on the ACT would be equivalent to Bobby's score of 1080 on the SAT ?

To find out how many points above the SAT mean Bobby scored, you can follow these steps:

1. Determine the mean of SAT scores: The mean of SAT scores is given as 896.

2. Calculate the difference between Bobby's SAT score and the SAT mean: Subtract the mean from Bobby's SAT score: 1080 - 896 = 184.

Therefore, Bobby scored 184 points above the SAT mean.

To find out how many points above the SAT mean Bobby scored, you need to subtract the mean from Bobby's score.

The mean SAT score is given as 896. So, subtracting this from Bobby's score of 1080 will give us the number of points above the mean.

Step by step, the calculation would look like this:

Bobby's score - Mean score = Points above the mean
1080 - 896 = 184

Therefore, Bobby scored 184 points above the SAT mean.