Answer :
Katlyn’s math score of 561 is in the 92nd percentile.
What is z score?
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean) / standard deviation
Given mean of 490 and a standard deviation of 50.
The 92nd percentile has a z score of 1.41
Hence:
1.41 = (x - 490)/50
x = 561
Katlyn’s math score of 561 is in the 92nd percentile.
Find out more on z score at: brainly.com/question/25638875