Question

4,000 students take an exam and get scores with a mean of 68 and a standard deviation of 26.

Approximately how many students scored between 16 and 120? Hint: Empirical Rule: 68%, 95%, 99.7%

Answer 1

95%

Explanation:

We have a normal distribution with a mean of 6 students and standard deviation of 26.

To solve this problem, we're going to need the help of a calculator.

P(16<z<120) = 0.9545 ≈ 95.45%

Rounding, we can say that 95% of the students scored between 16 and 120.