Question

a college says it admits only people with sat scores among the top 10%. how high an sat score does it take to be g

Answer 1

Full question:

Suppose SAT scores among students are normally distributed with a mean of 500 and a standard deviation of 100.

If a college says it admits only people with sat scores among the top 10%. how high a sat score does it take to be eligible?

Answer and explanation:

To find where SAT score of student falls in the test given mean and standard deviation of scores, we can calculate: x-500/100 where x is number of SAT score of students

A sat score in the top 10% region would have a score better than 90% of other SAT scores. Therefore 0.90 has a z score of 1.28

We use algebra to find the score to be eligible thus:

1.28=x-500/100

x-500=128

x=128+500

x=628

Therefore to be eligible, a student needs to score at least 628, and be in the top 10% of scores