Question

1. use the normal curve shown to identify the mean and standard deviation.

normal curve with 34%, 13.5%, x - values 51, 58, 65, 72, 79, 86, 93
standard deviation
mean
choices
65
72
79
5
7
12

Explanation:

Step1: Find the mean

In a normal distribution, the mean is at the center of the normal curve (the peak). Looking at the x - values (51, 58, 65, 72, 79, 86, 93), the middle value (the peak) is 72. So the mean $\mu = 72$.

Step2: Find the standard deviation

The standard deviation $\sigma$ is the distance between consecutive key points on the x - axis. Let's take two consecutive points, for example, 58 and 65. The difference is $65 - 58=7$, or $72 - 65 = 7$, $79 - 72=7$, etc. So the standard deviation $\sigma = 7$.

Answer:

standard deviation: 7
mean: 72