Question

(a) Explain how the number of standard deviations could be found for any data set. Choose the correct answer below.(b) Find the number of standard deviations

Answer 1

Step-by-step explanation

The Empirical Rule states that:

• about 68% of values fall within one standard deviation of the mean,,

,

• about 95% of the values fall within two standard deviations from the mean,

,

• almost all of the values—about 99.7%—fall within three standard deviations from the mean.

According to this, to have at least 99.0% of the data inside our interval, we must select approximately k = 3 standard deviations.

Answer

• A. Use the Empirical Rule

,

• k = 3