What proportion of the data from a normal distribution is within 2 standard deviations of the mean?
A) 0.3413 .
B) 0.4772 .
C) 0.6826 .
D) 0.9544 .

Question

What proportion of the data from a normal distribution is within 2 standard deviations of the mean? 
A) 0.3413 . 
B)  0.4772 . 
C)  0.6826 . 
D) 0.9544 .

Quizplus · Accepted Answer

According to the empirical rule, approximately 68% of the data in a normal distribution falls within one standard deviation of the mean, and approximately 95% of the data falls within two standard deviations of the mean. Therefore, the proportion of data within 2 standard deviations of the mean is 0.6826 (or approximately 68%).

What Proportion of the Data from a Normal Distribution Is