The numbers of regular season wins for 10 football teams in a given season are g

Question

The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the population data set. 2, 9, 15, 4, 13, 7, 12, 7, 5, 6 The range is (Simplify your answer.) The population mean is (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.)

Explanation / Answer

a) range = maximum - minimum = 15 - 2 = 13

b) mean = (2 + 9 + 15 + 4 + 13 + 7 + 12 + 7 + 5 + 6) / 10 = 8

c) variance = [(2 - 8)2 + (9 - 8)2 + (15 - 8)2 + (4 - 8)2 + (13 - 8)2 + (7 - 8)2 + (12 - 8)2 + (7 - 8)2 + (5 - 8)2 + (6 - 8)2 ] / 10

                 = 15.8

d) standard deviation = sqrt(15.8) = 3.9

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