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.

Variance: 636.4181818181823

Standard Deviation: 25.227330057264926

Solutions:

- 71 + 78 + 80 + 80 + 82 + 91 + 107 + 121 + 125 + 131 + 142 = 1108

- 1108 x 1108 = 1227664

- 1227664 / 11 = 111605.81818181818

- (71 x 71) + (78 x 78) + (80 x 80) + (80 x 80) + (82 x 82) + (91 x 91) + (107 x 107) + (121 x 121) + (125 x 125) + (131 x 131) + (142 x 142) = 117970

- 117970 - 111605.81818181818 = 6364.1818181818235

- 11 - 1 = 10

- 6364.1818181818235 / 10 = 636.4181818181823 (Variance)

- √ (636.4181818181823) = 25.227330057264926 (Standard Deviation)

The variance of this data set is 579

The population standard deviation for this data set is 24