Below is a histogram of the scores of all college-bound Seniors taking the SAT in $2014$.

Assume that the distribution of SAT scores is approximately normal with mean $ \mu = 1497 $ and standard deviation $ \sigma = 322 $.
Suppose the group that scores the test wants to change the scale of the test so that the top ten percent of students would score $2000$ and above.
**If the mean score stays at $1497$, what value should the group set the standard deviation to be?**
*Round your answer to the nearest whole number.*
[[☃ numeric-input 1]]