Answer to Question #347880 in Statistics and Probability for Nics

Question

Given the population 1,2,3,5,7,11 and 13 compute the following.

A.population of mean

B.Population of variance

C.population standard deviation

Answer 1

We have population values 1,2,3,5,7,11,13 population size N=7 .

A. Mean of population $(\mu)$ = 

$$\dfrac{1}{7}(1+2+3+5+7+11+13)=6$$

B. Variance of population 

$$\sigma^2=\dfrac{\Sigma(x_i-\bar{x})^2}{n}=\dfrac{1}{7}(25+16+9+1$$ $$+1+25+49)=\dfrac{126}{7}=18$$

C.

$$\sigma=\sqrt{\sigma^2}=\sqrt{18}=\sqrt{2}\approx4.24264$$