Given a normal distribution with a mean of 20 and a standard deviation of 4, which of the following statements is correct?
A)More scores are above 20 than below 20.
B)More scores are above 24 than below 16.
C)There are more scores of 16 than of 18.
D)There are as many scores below 16 as there are scores above 24.

Question

Quizplus · Accepted Answer

In a normal distribution, the mean divides the distribution into two equal halves. Statement D is correct because both 16 and 24 are one standard deviation away from the mean (20), but in opposite directions. This means that the proportion of scores within one standard deviation below the mean is equal to the proportion of scores within one standard deviation above the mean.

Given a Normal Distribution with a Mean of 20 and a Standard