Reports on a student's ACT, SAT, or MCAT usually give the percentile as well as the actual score. The percentile is the cumulative proportion stated as a percentage: the percentage of all scores that were lower than this one. In 2019, the scores on the Mathematics

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Reports on a student's ACT, SAT, or MCAT usually give the percentile as well as the actual score. The percentile is the cumulative proportion stated as a percentage: the percentage of all scores that were lower than this one. In 2019, the scores on the Mathematics portion of the SAT were close to Normal, with mean 528528 and standard deviation 117. Find the 85th85th percentile for the scores on the Mathematics portion of the SAT

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Step 1
Given that.
 
X~N( μ , ?)
 
μ=528     , ?=117
 
Z-score =( x - μ )/?
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Find the first quartile for the scores on the Mathematics portion of the SAT. 

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