Question

given the population, 20, 35, 55, 40, and 25, what is the variance?
\frac{\sum (x - \mu)^2}{n}
(round off to two decimal places as they occur.)
35
44
150
188

Explanation:

Step1: Calculate mean

$\mu=\frac{20 + 35+55+40+25}{5}=35$

Step2: Calculate squared - differences

$(20 - 35)^2+(35 - 35)^2+(55 - 35)^2+(40 - 35)^2+(25 - 35)^2=750$

Step3: Calculate variance

$\text{Variance}=\frac{750}{5}=150$

Answer:

C. 150