Question

A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 983 and a standard deviation of 195. Scores on the ACT test are normally distributed with a mean of 20.5 and a standard deviation of 4.8. It is assumed that the two tests measure the same aptitude, but use different scales.

If a student gets an SAT score that is the 52-percentile, find the actual SAT score.
SAT score =  
Round answer to a whole number.

What would be the equivalent ACT score for this student?
ACT score =  
Round answer to 1 decimal place.

If a student gets an SAT score of 1354, find the equivalent ACT score.
ACT score =

Answer 1

For SAT we are finding 52 percentile value

for ACT also the equivalent score will be at 52 percentile value

Soution a-985):0.52 195 a992.773 u 8 hem tablo fatrn (3-0 느2085-o.osis b = 20.74 | 20.7

for SAT score of 1354 find the z value

by using this z value find the equivalent ACT score

19.5 )-7026 Z 1. 9026 20.5 .go26 ug 27-6