Reports on a student's ACT, SAT, or MCAT usually give the percentile as well as the...
Reports on a student's ACT, SAT, or MCAT usually give the
percentile as well as the actual score. The percentile is just the
cumulative proportion stated as a percent: the percent of all
scores that were lower than this one. In a certain year, the total
MCAT scores were close to Normal with mean 25.4 and standard
deviation 6.1.
A student scored 30. What was the percentile? (Round your answer to
the nearest whole number.)
Homework Answers
Solution :
Given that ,
mean = 
= 25.4
standard deviation = 
=6.1
P(X<30 ) = P[(X- 
) /
< (30 -25.4) /6.1 ]
= P(z <0.75 )
Using z table
=0.7734
answer=77%
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