5
QuizMultiple Choice

Applications with Standard Normal Distribution — Quiz

Question 5 • Mathematics III

About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution?

Answer
A
47 point 5 percent
B
99 point 7 percent
C
68 percent
D
95 percent

Explanation

In a normal distribution, the empirical rule says about 68% of the data lies within 1 standard deviation of the mean, about 95% lies within 2 standard deviations, and about 99.7% lies within 3. Therefore, the correct choice is 95 percent.

AI-written and checked against the verified answer.

Previous
Next