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qaws [65]
3 years ago
7

The total scores on the Medical College Admissions Test (MCAT) in 2013 follow a Normal distribution with mean 25.3 and standard

deviation 6.5.
a) what are the median and the first and third quartiles of the MCAT scores? what is the interquartile range?

please i need help!!!
Mathematics
1 answer:
aivan3 [116]3 years ago
8 0
1st quartile (25%) and the 3rd quartile (75%) values are -0.6745 and 0.6745 respectively. Use this formula z= (x-mean)SD -0.6745 = (x-25.3)/6.5. 
x=25.3 - 0.6745(6.5) = 25.3 - 4.3843 = 20.9157 1st Quartile
 0.6745 = (x - 25.3) 6.5
 x = 25.3 + 0.6745 = 25.3 + 4.3843 = 29.6843 3rd quartile 
 interquartile range is the difference between the 1st quartile and the 4th quartile
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