Question

question 2
consider the following normal distribution graph:
what is the mean?
μ=
what is the standard deviation?
σ=
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Explanation:

Step1: Recall the property of normal distribution mean

In a normal distribution graph, the mean ($\mu$) is at the center of the symmetric curve. From the graph, the center is at 36. So, $\mu = 36$.

Step2: Calculate the standard deviation

The distance between the mean and a point that is one - standard - deviation away can be used. Let's assume we use the distance from the mean to another marked point. For example, if we consider the fact that in a normal distribution, we can use the difference between two symmetric points. Suppose we take the difference between 36 and 24 (or 36 and 48). The formula for standard deviation ($\sigma$) can be derived from the relationship in a normal distribution. The distance from 36 to 24 is $36−24 = 12$. Since in a normal distribution, if we assume a simple case (for example, if 24 is $\mu - \sigma$), then $\sigma=12$.

Answer:

The mean $\mu = 36$ and the standard deviation $\sigma = 12$.