Below is a histogram of the scores of all college-bound Seniors taking the SAT in $2014$.
![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/50a8bfe159e97e54e104c1e6d760f99beb1c16c6)
Assume that the distribution of SAT scores is approximately normal with mean $ \mu = 1497 $ and standard deviation $ \sigma = 322 $.
A certain summer program only admits students whose SAT scores are in the top 15 percent of those who take the test in a given year.
**What is the minimum SAT score in $2014$ that meets the program’s requirements?**
*Round to the nearest whole number.*
[[☃ numeric-input 1]]