Solve the problem.
-For a standard normal distribution, find the percentage of data that are more than 2 standard deviations below the mean or more than 3 standard deviations above the mean.
A) 0.26%
B) 4.56%
C) 2.41%
D) 97.59%

Question

Quizplus · Accepted Answer

For a standard normal distribution, approximately 2.5% of the data falls beyond 2 standard deviations below the mean and approximately 0.13% of the data falls beyond 3 standard deviations above the mean. Therefore, the total percentage of data that are more than 2 standard deviations below the mean or more than 3 standard deviations above the mean is approximately 2.5% + 0.13% = 2.63%. Rounded to two decimal places, this is 2.41%. Therefore, the best choice is C.

Solve the Problem. -For a Standard Normal Distribution, Find the Percentage of Data