Question

If the average American male is 5'10" and the standard deviation is 3", then LeBron James, who is 6'8", is within (what) standard deviation of the mean?

A) 2
B) 3
C) both a and b
D) none of the above

Answer 1

LeBron James is within about 2.67 standard deviations of the mean.

Step-by-step explanation:

LeBron James' height of 6'8" is 10 inches above the average height of the average American male. To determine how many standard deviations LeBron James is from the mean, we can calculate his z-score using the formula (x - μ) / σ, where x is the value (6'8") and μ is the mean (5'10"), and σ is the standard deviation (3"). Plugging in the values, we get a z-score of approximately 2.67. Since each standard deviation is approximately 3", LeBron James is within about 2.67 standard deviations of the mean.