The score distribution of the final exam in a data science course follows a normal distribution with mean 70 and standard deviation 10.

Question

Let α in (0,1) . As a reminder, the quantile of order 1−α of a random variable X is the number qα such that

P(X≤qα)=1−α.

According to this distribution, what score do you need to get in order to be at the 90th percentile of the class, that is, in order that 90% of all students in the class have a score less than or equal to your score?

Answer 1

Required score will be 82.85