Which of the following statements is true with regard to the proportion of normally distributed data and number of standard deviations from the mean?
A)The percentage of data from the mean to one standard deviation to the left of the mean is 42%.
B)The percentage of data from the mean to two standard deviations to the right of the mean is 68%.
C)The percentage of data within three standard deviations (plus/minus)from the mean is about 99%.
D)The percentage of data within one standard deviations (plus/minus)from the mean is about 95%.

Question

Quizplus · Accepted Answer

This is known as the Empirical Rule or the 68-95-99.7 rule, which states that approximately 68% of the data falls within one standard deviation of the mean, approximately 95% of the data falls within two standard deviations of the mean, and approximately 99.7% of the data falls within three standard deviations of the mean. Therefore, option C is the correct statement among the given options.

Which of the Following Statements Is True with Regard to the Proportion