Question 1152171
sample variance of {{{6}}}}}},{{{6}}},{{{8}}},{{{8}}},{{{8}}},{{{14}}},{{{6}}}  
the sample variance measures how much the data is spread out in the sample 
For a data set {{{x[1]}}},.......{{{x[n]}}} ({{{n}}} elements ) with an average {{{x}}}, variance is

 {{{Var (x )= sum((x[i]-avarae(x))^2/(n-1),1,n)}}}

{{{n=7}}}

average {{{x}}}:

{{{(6+6+8+8+8+14+6)/7 =8}}}

{{{(x[i]-avarae(x))^2=(8-6)^2=4}}}, same tree times
{{{(x[i]-avarae(x))^2=(8-8)^2=0}}},same tree times
{{{(x[i]-avarae(x))^2 =(14-8)^2=6^2=36}}}, one time

sum of {{{(x[i]-avarae(x))^2 =4+4+4+0+0+0+36=48}}}

 {{{Var (x )= 48/(7-1)}}}

 {{{Var (x )= 48/6}}}

{{{Var (x )= 8}}}