Question

(3.14) The total scores on the Medical College Admission Test (MCAT) follow a Normal distribution with...

(3.14) The total scores on the Medical College Admission Test (MCAT) follow a Normal distribution with mean 25.4 and standard deviation 6.2 .

What are the median and the first and third quartiles of the MCAT scores?

(Use software or your calculator )

Q1Q1 (±±0.001) =

Median (±±0.001) =

Q3Q3 (±±0.001) =

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

We are given here that the distribution is given as:

Note that the median is equal to the mean for a normal distribution. Therefore Median = 25.4

Also from standard normal tables, we have:
P(Z < 0.6745) = 0.75
and P(Z < -0.6745) = 0.25

Therefore, The first and third quartiles here are given as:

Q1 = Mean - 0.6745*Std Dev = 25.4 - 0.6745*6.2 = 21.218

Q3 = Mean + 0.6745*Std Dev = 25.4 + 0.6745*6.2 = 29.582

Therefore the final values here are given as:

Q1: 21.218

Q3: 29.582

Median: 25.4

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