Question

1. which two of the following statements are true for a normal distribution curve?

the curve is symmetrical. a
the fewest scores lie around the mean. b
the curve is asymmetrical. c
there are the same number of scores above and below the mean. d

Explanation:

• For a normal distribution curve, it is symmetric about the mean. So statement A is true.
• In a normal distribution, the most scores lie around the mean, not the fewest. So statement B is false.
• A normal distribution curve is symmetric, not asymmetrical. So statement C is false.
• Due to the symmetry of the normal distribution, the number of scores above the mean is equal to the number of scores below the mean. So statement D is true.

Answer:

A. The curve is symmetrical.
D. There are the same number of scores above and below the mean.