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, 7, 15, 5, 14, 10, 12, 9, 2, 7

Answer 1

Number	Values
1	2	39.69 ( 2 - 8.3)2
2	2	39.69 ( 2 - 8.3)2
3	5	10.89 ( 5 - 8.3)2
4	7	1.69 ( 7 - 8.3)2
5	7	1.69 ( 7 - 8.3)2
6	9	0.49 ( 9 - 8.3)2
7	10	2.89 ( 10 - 8.3)2
8	12	13.69  ( 12 - 8.3)2
9	14	32.49  ( 14 - 8.3)2
10	15	44.89  ( 15 - 8.3)2
Total	83	188.1

Range = Maximum value - Minimum Value

Arrange the data set in ascending order

Maximum value = 15

Minimum Value = 2

Range = 15 - 2 = 13

Mean

83 / 10 = 8.3

Variance

= 188.1 / 10 = 18.81

Standard Deviation

4.34