Which of the following statements are true regarding the areas beneath any normal curve?
A) About 68.3% of the area is in the interval$\mu - \sigma \text { to } \mu + \sigma .$
B) About 95.5% of the area is in the interval$\mu - 2 ? \text { to } \mu + 2 \sigma$
C) Nearly all of the area (about 99.7%)is in the interval$\mu - 3 \sigma \text { to } \mu + 3 \sigma$
D) All of these are true.
E) None of these is true.

Question

Quizplus · Accepted Answer

These statements are commonly known as the empirical rule or the 68-95-99.7 rule, which applies to any normal distribution. It states that about 68.3% of the data falls within one standard deviation (σ) of the mean (μ), about 95.5% of the data falls within two standard deviations of the mean, and about 99.7% of the data falls within three standard deviations of the mean. Therefore, all three statements are true.

Which of the Following Statements Are True Regarding the Areas μ−σ to μ+σ.\mu - \sigma \text { to } \mu + \sigma .μ−σ to μ+σ.

Which of the Following Statements Are True Regarding the Areas $\mu - \sigma \text { to } \mu + \sigma .$