With a height of 60 in, Marvin was the shortest president of a particular club i

Question

With a height of 60 in, Marvin was the shortest president of a particular club in the past century. The club president of the past century have a mean height of 75.1 in and a standard deviation of 2.9 in.
a. What is the positive difference between Marvin's height and the mean?
b. How many standard deviations is that [ the difference found in part (a)]?
c. Convert Marvin's height to a z score.
d. If we consider "usual " height to be those that convert to z score between -2 and 2, is Marvin's height usual or unusual?

a. The positive difference between Marvin's height and the mean is _____ in.

Explanation / Answer

a. the positive difference between Marvin's height and the mean = 75.1-60=15.1

b. Number of standard deviation = 15.1/2.9=5.207

c. Z-score =x-mean/SD=60-75.1/2.9=-5.207

d.Frome above part c. we got z=-5.205 which is below -2 and 2 so Marvin's height is unusual.

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