Question

A Normal curve Estimate the mean and standard deviation of the Normal density curve in the figure below:

Short answer

From the graph, we can calculate the mean is $10$and the standard deviation is $2$

Step-by-step solution

Given Information

A normal density curve is given in the question.

Explanation

It observed that the inflection points are $8$and $12$from the given graph.

So, $\mu +\sigma =12$.

A peak value of $10$is also shown in the graph, this represents the mean.$\mu =10$.

We can determine the standard deviation by using the below equation.

$$\begin{gathered} \mu +\sigma =12 \\ \Rightarrow 10+\sigma =12 \\ \Rightarrow \sigma =2 \end{gathered}$$