Question

consider the standard normal curve given.
the mean is
the standard deviation is
the data point 37 is one standard deviation from the mean.

Explanation:

Step1: Recall the properties of the standard normal curve

The mean of a normal distribution is at the center of the curve. From the graph, the center is at \(x = 30\).

Step2: Determine the standard deviation

Given \(\sigma=5\) (from the graph).

Step3: Check the distance of \(37\) from the mean

Calculate \(37 - 30=7\). Since \(7>5\) (the standard deviation \(\sigma = 5\)), \(37\) is more than one - standard deviation from the mean.

Answer:

The mean is \(30\).
The standard deviation is \(5\).
The data point \(37\) is more than one standard deviation from the mean.