PLEASEEEEE HELP THIS IS FOR AP STATS
Many colleges and universities require applicants to submit scores on standardized tests such as the SAT Writing, Math, and Critical Reading (Verbal)
tests. The college your little sister wants to apply to says that while there is no minimum score required, the middle 50% of their students have
combined SAT scores between 1530 and 1850. You'd feel confident if you knew her score was in their top 25%, but unfortunately she took the ACT
test, an alternative standardized test.
How high does her ACT score need to be to make it into the top quarter of equivalent SAT scores?
To answer this question you'll have to standardize all the scores, so you'll need to know the mean and standard deviations of scores for some group
on both tests. The college doesn't report the mean or standard deviation for their applicants on either test, so we'll use the group of all test takers
nationally. For college-bound seniors, the average combined SAT score is about 1500 and the standard deviation is about 250 points. For the same
group, the ACT average is 20.8 with a standard deviation of 4.8.