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The ACT is a standardized test used by college admissions offices as a factor in whether an applicant is or is not admitted to their college. Since so many students take this test each year, the distribution of results are typically approximately normal. The table below shows the mean and standard deviation for each section of within the ACT for all test takers in the years 2015, 2016, and 2017.

Section Mean Standard Deviation
English 20.3 6.8
Math 20.7 5.4
Reading 21.4 6.5
Science 20.9 5.5
STEM 21.0 5.2
 
 
 

What are the z-score and the percentile rank of a student who scored 22 in the Math section of the ACT?

  

z = 

percentile 

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