Question

The height of males approximates a normal distribution. The average height of the players on an NBA team is 6.6 feet with a standard deviation of 0.2 feet. If one of the players is 7.5 feet tall, how many standard deviations away from the mean is this player’s height?

A. 4.5 standard deviations below the mean
B. 0.9 standard deviations below the mean
C. 0.9 standard deviations above the mean
D. 4.5 standard deviations above the mean

Answer 1

D

Explanation:

Since the player is taller than the mean, he is some number of standard deviations above the mean.

He is (7.5-6.6)/0.2 = 4.5 standard deviations above the mean.

So, the answer is D.