Question

what is the mean of the normal distribution shown below?
image of a normal distribution curve with x-axis labeled 0,1,2,3,4,5,6,7,8 and the peak at 4
options: 0, 2, 4, 5

Explanation:

Step1: Recall Normal Distribution Property

In a normal distribution, the mean (μ) is the center of the symmetric bell - shaped curve. The curve is symmetric about the mean, so the peak of the curve (the highest point) occurs at the mean.

Step2: Identify the Peak's Position

Looking at the given normal distribution graph, the peak of the curve is at the value 4 on the x - axis. Since the mean is the center (where the peak is) of a normal distribution curve, the mean of this normal distribution is 4.

Answer:

4