91Ó°ÊÓ

Mean,$\mathrm{μ}=0.261$

Standard deviation,$\mathrm{σ}=0.034$

In a normal distribution, $68$percent of the data lies within $1$ standard deviation of the mean.

In a normal distribution, $95\%$of the data lies within $2$standard deviations of the mean.

A normal distribution has $99.7\%$of its data inside $1$ standard deviation of the mean.

Then

The general Normal density graph is represented as:

Now,

On both sides of the mean, find the standard values.

From left to the mean,

$3$standard deviation:

$\mathrm{μ}−3\mathrm{σ}=0.261−3(0.034)=0.159$

$2$standard deviation:

$\mathrm{μ}−2\mathrm{σ}=0.261−2(0.034)=0.193$

$1$standard deviation:

$\mathrm{μ}−\mathrm{σ}=0.261−0.034=0.227$

From right to the mean,

$1$standard deviation:

$\mathrm{μ}+\mathrm{σ}=0.261+0.034=0.295$

$2$standard deviations:

$\mathrm{μ}+2\mathrm{σ}=0.261+2(0.034)=0.329$

$3$standard deviation:

$\mathrm{μ}+3\mathrm{σ}=0.261+3(0.034)=0.363$

To show the Normal density curve, write the estimated values in the figure below: