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=( \Sigma x_i)/(n)`
summation of x is:

`image`
hence

`\mu= (25)/(5)=5`

The variance will be

`\sigma^2= (\Sigma(x- \mu)^2)/(n)`

`\Sigma(x_i- \mu)^2= 22`

`\sigma^2= (22)/(5)=4.4`