Question

About what percent of $x$values lie between the second and third standard deviations (both sides)?

Short answer

Approximately $4.7\%$of $x$values lies between the second and third 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, the percentage of $x$values from normal distribution lie between second and third standard deviation will be:

$=99.7\%-95\%$

localid="1648289831679" $=4.7\%$