Question

For the Normal distribution shown, the standard deviation is closest to

$$\begin{gathered} a.0. \\ b.1. \\ c.2. \\ d.3. \\ e.5. \end{gathered}$$

Short answer

The correct option is (d)$3$

Step-by-step solution

Given information

The figure is:

Explanation

The mean of the normal distribution is around $2$ while the peak of the normal distribution is at $2$

$\mu =2$

The distance between the vertical line and the inflection point where the curve seems to be essentially a straight line is the standard deviation of the normal distribution. This distance is around $3$ in this case, hence the standard deviation is approximately $3$ in this situation.

$\sigma =3$

Hence, the correct option is (d).