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 more than 65 points? Question 5 options: 2.5 16 34 47.5

Respuesta :

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.