If scores on an exam are normally distributed with a mean of

If scores on an exam are normally distributed with a mean of 550 and standard deviation of 100, and 1 student scored a 650 on the exam, what percentile would he be in?

Solution

u = mean = 550

SD = 100

x = 650

z-score = (x - u) / SD

z = 650-550/100

z = 1

At z = 1, we get 0.84

So, he will will be in the 84th percentile approx