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

Explanation:

Step1: Recall standard - normal curve properties

The mean of a standard - normal curve is 0 when in the general $z$ - score context. But if we are looking at a normal distribution with given values, and the peak of the curve is at 30, the mean of this normal distribution is 30.

Step2: Identify standard deviation

Given that $\sigma = 5$, the standard deviation is 5.

Step3: Check distance from the mean

The mean is 30 and the standard deviation is 5. One standard deviation above the mean is $30 + 5=35$ and one standard deviation below the mean is $30 - 5 = 25$. Since $37>35$, the data - point 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.