The variance, for first six prime numbers greater than 5 , is

Question

Aicharya · Accepted Answer

First six prime numbers greater than 5 are 7,11 , $13,17,19,23$. $\begin{aligned} & 	ext { Variance }\left(\sigma^2ight)=\frac{1}{\mathrm{n}}\left(\sum_{\mathrm{i}=1}^{\mathrm{n}} x_{\mathrm{i}}^2ight)-(\bar{x})^2 \ & 	herefore \quad \sigma^2=\frac{1}{6}\left(7^2+11^2+13^2+17^2+19^2+23^2ight) \ & -\left(\frac{7+11+13+17+19+23}{6}ight)^2 \ & =\frac{1518}{6}-\left(\frac{90}{6}ight)^2 \ & =253-225 \ & =28 \ & \end{aligned}$

The variance, for first six prime numbers greater than 5 , is

Solution