Question 1143169

given:

{{{26}}}, {{{35}}}, {{{37}}}, {{{41}}}, {{{31}}}

find mean :

 {{{(26+35+37+41+31)/5=170/5=34}}}


find the variance, subtract the mean from each of the{{{ x}}} values:
{{{x[1]=26-34=-8}}}
{{{x[2]=35-34=1}}}
{{{x[3]=37-34=3}}}
{{{x[4]=41-34=7}}}
{{{x[5]=31-34=-3}}}

Now square all the answers you have got from subtraction. 

{{{(-8)^2=64}}}
{{{1^2=1}}}
{{{3^2=9}}}
{{{7^2=49}}}
{{{(-3)^2=9}}}

add all the squared numbers:
{{{64+1+9+49+9=132}}}

divide the sum of squares by {{{(n-1)}}} , in your case {{{n=5}}}
{{{132/(5-1)=132/4=33}}}

so,the variance is {{{33}}}

find the square root of variance to find the standard deviation {{{delta}}}:

{{{delta=sqrt(33)}}}≈{{{5.75}}}