The area between the mean and a Z score of +1.50 is 43.32%. This score is less than _________ of the scores in the distribution.
A) 43.32%
B) 6.68%
C) 3.32%
D) 93.32%

Question

Quizplus · Accepted Answer

Since the Z score of +1.50 represents the area that falls between the mean and +1.50 standard deviations above the mean, we know that this area encompasses 43.32% of the distribution. To determine what percentage of scores fall above the Z score of +1.50 (i.e. the percentage of scores that are greater than +1.50 standard deviations above the mean), we can subtract this area from 50% (since the area between the mean and +1.50 standard deviations above the mean represents half the distribution).

50% - 43.32% = 6.68%.

Therefore, only B (6.68%) satisfies the question prompt.

The Area Between the Mean and a Z Score of +1.50