Question

1.5
2.0
2.5

Explanation:

Identify the mean of the distribution

The peak of a symmetric normal distribution curve occurs at its mean (\(\mu\)). Looking at the provided graph, the peak is aligned with the value \(2\) on the horizontal axis.

Identify the standard deviation

The inflection points of a normal distribution curve occur at one standard deviation away from the mean (\(\mu \pm \sigma\)). On the graph, the dashed vertical lines indicating these points are located at \(1.5\) and \(2.5\).

$$ \mu - \sigma = 1.5 \implies 2 - \sigma = 1.5 \implies \sigma = 0.5 $$

Determine the requested parameter

The question asks to identify a parameter from the options: \(1.5\), \(2.0\), and \(2.5\). The value \(2.0\) represents the mean (\(\mu\)) of this normal distribution.

Answer:

• 1.5
• 2.0 (Correct answer)
• 2.5