Question

Consider these five values a population: 8, 3, 7, 3, and 4.a.determine the mean of the population.b.determine the variance

Answer 1

mean of the sample 8,3,7,3,4 is given by:
$\mu=\frac{ \Sigma x_i}{n}$
summation of x is:
$\Sigma x_i=8+3+7+3+4=25 n=5$
hence
$\mu= \frac{25}{5}=5$

The variance will be 
$\sigma^2= \frac{\Sigma(x- \mu)^2}{n}$
$\Sigma(x_i- \mu)^2= 22$
$\sigma^2= \frac{22}{5}=4.4$