Question 1205588
{{{50}}}, {{{51}}}, {{{49}}}, {{{48}}}, {{{50}}}, {{{50, {{{49}}},{{{ 49}}}, {{{49}}}, {{{50}}}, {{{49}}}, {{{50}}}, {{{50}}}, {{{54}}}


mean 

{{{(50+51+49+48+50+50+ 49+49+49+50+49+50+ 50+ 54)/14=(6*50+51+5*49+48+ 54)/14=698/14=49.86}}}


sample standard deviation {{{sigma }}}

{{{sigma=sqrt((1/(n-1))*sum(x[i]-mu)^2)}}}


{{{n=14}}}


{{{sum((x[i]-mu)^2)=6*(50-49.86)^2+(51-49.86)^2+5*(49-49.86)^2+(48-49.86)^2+ (54-49.86)^2=25.7144}}}


{{{sigma=sqrt(25.7144/(14-1))}}}

{{{sigma=sqrt(25.7144/13)}}}

{{{sigma=1.406}}}