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91Ó°ÊÓ

About what percent of x values from a normal distribution lie within one standard deviation (left and right) of the mean of that distribution?

Short Answer

Expert verified

Approximately68%ofxvalues lies within one standard deviation.

Step by step solution

01

Concept introduction 

The empirical rule additionally alluded to as the three-sigma rule or 68-95-99.7 rule, is a factual decision that expresses that for a normal distribution, practically totally noticed information will fall inside three standard deviations of the mean or normal

02

Explanation 

The Empirical Rule expresses that99.7%of information noticed observing an normal distribution exists in 3standard deviations of the mean. Under this standard, 68%of the information falls inside one standard deviation, 95%percent inside two standard deviations, and 99.7%inside three standard deviations from the mean.

Therefore, about 68%percent of xvalues from a normal distribution lie within one standard deviation (left and right) of the mean of that distribution.

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