Question

The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standa
population data set.
2,9, 15, 5, 14, 8, 11, 7, 4, 10 0
The range is 13.
(Simplify your answer.)
The population mean is 8.6.
(Simplify your answer. Round to the nearest tenth as needed.)
The population variance is
(Simplify your answer. Round to the nearest hundredth as needed.)
The population standard deviation is
(Simplify your answer. Round to the nearest tenth as needed.)

Answer 1

Answer:

The range is: 13. The population mean is: 8.5. The population variance is: 15.85. The population standard deviation is: 3.9812.

Step-by-step explanation:

The range: 15 - 2 = 13

The population mean is:

Mean = ( 2 + 9 + 15 + 5 + 14 + 8 + 11 + 7 + 4 + 10 ) / 10 = 8.5

The population variance ( S² or Sigma² ):

S ² = 1/10 · ( ( 2 - 8.5 )² + ( 9 - 8.5 )² + ( 15 - 8.5 )² + ( 5 - 8.5 )² + ( 14 - 8.5 )² + ( 8 - 8.5 )² + ( 11 - 8.5 )² + ( 7 - 8.5 )² + ( 4 - 8.5 )² + ( 10 - 8.5 )² )

S ² = 15.85

The population standard deviation:

S = √(S²) = √15.85 = 3.9812