Question

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

Short answer

About $27\%$ of the $x$ values from normal distribution will lie between first and second standard deviation.

Step-by-step solution

Given information

Given in the question that, We have to find the percent of $x$values lie between the first and second standard deviations from the mean (both sides)

Explanation

According to the empirical rule of normal distribution, within one standard deviation of the mean, there are approximately $68\%$values of $x$lies and within two standard deviations of the mean, there are approximately$95\%$values of $x$lies. So, the percent of the $x$values from normal distribution lie between first and second standard deviation from the mean will be:

$=95\mathrm{\%}-68\mathrm{\%}$

$=27\mathrm{\%}$

Therefore, about $27\%$ of the $x$ values from normal distribution will lie between first and second standard deviation.