Question

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

Approximately$68\%$of$x$values lies within one standard deviation.

Step-by-step solution

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

Explanation 

The Empirical Rule expresses that$99.7\%$of information noticed observing an normal distribution exists in $3$standard 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 $x$values from a normal distribution lie within one standard deviation (left and right) of the mean of that distribution.