Calculate the mean number of goals per game for a soccer.

A mean is an arithmetic average of a set of observations. The mean number of goals per game the soccer team makes is 4.15 goals per game.
A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Given the table of goals and frequency. Therefore, the total number of goals can be written as,
0 × 17 = 0
1 × 15 = 15
2 × 12 = 24
3 × 11 = 33
4 × 11 = 44
5 × 13 = 65
6 × 21 = 126
7 × 9 = 63
8 × 10 = 80
9 × 9 = 81
Total number of goals = 0 + 15 + 24 + 33 + 44 + 65 + 126 + 63 + 80 + 81 = 531
Sum of all frequency = 17 + 15 + 12 + 11 + 11 + 13 + 21 + 9 + 10 + 9 = 128
Further, the mean number of goals per game of soccer is,
Mean = Total number of goal / sum of all frequency
= 531 / 128
= 4.15
Hence, the mean number of goals per game the soccer team makes is 4.15 goals per game.
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