The average estimated hours a person in the United States spent playing video games per year from 2002 to 2012 were 71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142. Use the statistics calculator to find the variance and population standard deviation. Round answers to the nearest whole number.

Answer:Population variance 579Population standard deviation 24Step-by-step explanation:The average estimated hours a person in the United States spent playing video games per year from 2002 to 2012 were 71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142.The population variance is given by:[tex]\sigma^2=\frac{\sum(x-\mu)^2}{n}[/tex][tex]\mu=\frac{71+80+82+78+80+91+107+121+125+131+142}{11}[/tex][tex]\mu=\frac{1108}{11}[/tex]This implies that:[tex]\sigma^2=\frac{(71-\frac{1108}{11})^2+(80-\frac{1108}{11})^2+(82-\frac{1108}{11})^2+(78-\frac{1108}{11})^2+(80-\frac{1108}{11})^2+...+(142-\frac{1108}{11})^2}{11}[/tex][tex]\sigma^2=\frac{70006}{121} =579[/tex] to the nearest whole numberThe population standard deviation is [tex]\sigma=\frac{\sqrt{70006} }{11}=24[/tex] to the nearest whole number.