Question

problem 1
a large sample of females had their systolic blood pressure measured. the mean blood pressure was 125 millimeters of mercury and the standard deviation was 10 millimeters of mercury.
which normal distribution below best summarizes the data?
choose 1 answer:

Explanation:

Step1: Recall normal - distribution properties

A normal distribution is symmetric about the mean $\mu$. Here, $\mu = 125$ and the standard - deviation $\sigma=10$. The values in a normal distribution are centered around the mean.

Step2: Analyze the given options

The mean of the data is 125. In a normal distribution, the peak of the bell - curve is at the mean. Option A has the peak of the bell - curve at a value much higher than 125. A correct normal distribution for this data should have the peak at 125. Since no other options are provided, we assume that the correct normal distribution should have its center (highest point of the bell - curve) at 125 and spread out according to the standard deviation of 10. But based on the given option A, it is incorrect as its center is not at 125. If we assume a proper normal distribution for this data, the center of the bell - curve should be at 125.

Answer:

Since the mean of the data is 125 and the given option A has its peak at a value other than 125, no correct option is shown. If we were to draw a correct normal distribution, it would have its peak (center) at 125 and spread out with a standard deviation of 10.