Question 1180685
We have the population {{{1}}},{{{2}}},{{{3}}},{{{4}}},{{{5}}},{{{6}}}


Population mean {{{mu=(1+2+3+4+5+6)/6=21/6=3.5}}}

Population variance

{{{V=((1-3.5)^2+(2-3.5)^2+(3-3.5)^2+(4-3.5)^2+(5-3.5)^2+(6-3.5)^2)/6}}}

{{{(6.25+2.25+0.25+0.25+2.25+6.25)/6}}}

={{{2.91}}}


Standard deviation {{{delta=sqrt(2.91)=1.70}}}


Now, size of {{{3}}} is taken from the sample => {{{5C3=10 }}}