Question

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

Short answer

Approximately $95\%$of $x$ values lies within two standard deviation.

Step-by-step solution

Given Information 

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 $95\%$percent of $x$values from a normal distribution lie within one standard deviation (left and right) of the mean of that distribution.