Counselor Education Comprehensive Exam (CECE) Practice Exam

Which statement about the normal curve is NOT true?

1. It is symmetrical with the highest point at the center

2. The curve is asymptotic

3. It is also known as a bell curve

4. All of the above statements are true

The correct answer is: All of the above statements are true

The focus of this question is on the properties of the normal curve. To determine the validity of the statements made, it is important to understand the characteristics of the normal distribution. The first statement about the normal curve being symmetrical with the highest point at the center is a fundamental property of the normal distribution. It indicates that the distribution has equal values on both sides of the mean, creating a mirror image around the center point – this is indeed true. The second statement highlights that the curve is asymptotic, which means it approaches but never actually touches the x-axis as it extends indefinitely in either direction. This is also a true characteristic of the normal distribution, as it theoretically extends infinitely. The third statement refers to the curve being known as a bell curve. This is a common term used to describe the shape of the normal distribution, which indeed resembles a bell. Thus, this statement is correct as well. Since the question asks for the statement that is NOT true, and all three individual statements about the normal curve are true, the choice indicating that all of the above statements are true accurately reflects the correctness of each individual statement. Therefore, this illustrates the concept of the normal curve and affirms that all provided statements about it are indeed valid.