The mean score on the SAT

Question

The mean score on the SAT is 1014 with a standard deviation of 115. The ACT has a mean score of 21 and a standard deviation of 5. If Luciano, score a 1240 on the SAT and a 30 on the ACT, find his z - score for the SAT

Answer 1

To find a Z-score, we take the value we want to look at (SAT score of 1240), subtract it from the mean (of 1014) and finally divide that difference by the standard deviation (of 115). Our formula looks like this:

(1240 - 1014) / 115 = 1.965217

So, we have a Z-score of approximately 1.97.