3
QuizMultiple Choice

Applications with Standard Normal Distribution

Question 3 • AZ-Common Core Algebra II B

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

Answer
A
47.5%
B
68%
C
95%
D
99.7%

Explanation

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

AI-written and checked against the verified answer.

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