Question

The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation of 5 points. About what percent of students have scored between 60 and 65 points?

A. 13.5
B. 34
C. 50
D. 95

Answer 1

About 34% of students scored between 60 and 65 points on a test with scores that are normally distributed with a mean of 60 and a standard deviation of 5. This falls within one standard deviation above the mean.

Step-by-step explanation:

The question asks about the percentage of students who have scored between 60 and 65 points on a test where scores are normally distributed with a mean of 60 and a standard deviation of 5.

To find this percentage, we utilize the properties of the normal distribution. Scores of 60 and 65 are 0 and 1 standard deviations from the mean, respectively.

Using the standard normal distribution table (z-table) or a calculator with normal distribution functions, we know that approximately 34% of the data in a normal distribution lies between the mean and one standard deviation above the mean.

Therefore, the percent of students who scored between 60 and 65 points is about 34%, which corresponds to option B.