what are the standard deviation and coefficient of variation of ${5, 6, 7, 9, 8}$ ${5,6,7,9,8}$ ?

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Answer 1 · 2016-06-28T06:17:25

Standard Deviation is $1.4142$ $1.4142$ and Coefficient of variation is $20.2 %$ $20.2%$

The mean $(μ)$ $(mu)$ of data set is given by the sum of data divided by their number i.e. $(Sigmax)/N$

Hence mean is $1/5(5+6+7+9+8)=7$

Standard Deviation $(sigma)$ is given by $sqrt[(Sigmax^2)/N-((Sigmax)/N)^2$

$(Sigmax^2)/N=1/5(5^2+6^2+7^2+9^2+8^2)$

= $1/5(25+36+49+81+64)=255/5=51$

Hence Standard Deviation is $sqrt(51-(7)^2)=sqrt2=1.4142$

Coefficient of variation is $sigma/muxx100$ = $1.4142/7xx100=20.2%$

what are the standard deviation and coefficient of variation of {5,6,7,9,8}{5,6,7,9,8}{5,6,7,9,8}?