Question

question 16 points 1

99.7% of the normal distribution lies within ______ standard deviation(s) of the mean.

• one
• three

Explanation:

State the empirical rule

Using the Empirical Rule and Normal Distribution Properties knowledge points

• Approximately \(68\%\) of data lies within \(1\) standard deviation of the mean.
• Approximately \(95\%\) of data lies within \(2\) standard deviations of the mean.
• Approximately \(99.7\%\) of data lies within \(3\) standard deviations of the mean.

Match with the question

Using the Empirical Rule knowledge point

• The question asks for the number of standard deviations containing \(99.7\%\) of the distribution.
• This corresponds to \(3\) standard deviations, which matches the option "three".

Answer:

• one
• three (Correct answer)