Answer:
Rounding 15.87 to the next whole, we can affirm that 16% scored more than 65. The correct answer is B. 16.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Mean of the points obtained by students of a class in a test = 60
Standard deviation of the points obtained by students of a class in a test = 5
2. About what percent of students have scored more than 65 points?
Let's answer the question, making the following calculations:
65 points = Mean + Standard deviation
65 = 60 + 5
Now, that we know that 65 is + 1.0 Standard deviation, we use the z-score for +1.0 Standard deviation, as follows:
z-score for +1.0 = 0.8413
This means that 84.13% of the students obtained from 0 to 65, and therefore 15.87 (1 - 0.8413) obtained more than 65 points.
Rounding 15.87 to the next whole, we can affirm that 16% scored more than 65. The correct answer is B. 16.