Class 11

Math

JEE Main Questions

Statistics

If $n=10,X=12$ and $∑x_{12}=1530,$ then the coefficient of variation is (a) 36% (b) 41% (c) 25% (d) none of these

$∴$ Variance $(σ)_{2}=n1 (∑(x_{i}−(X)_{2})$

$⇒σ_{2}=101 (1530−10(12)_{2})=1090 =9$

$∴$ Standard deviation $(σ)=9 =3$

Now, we will calculate coefficient of variation which is given by,

$C.V.=Xσ ∗100$

$∴C.V.=123 ∗100=25%.$