The table below shows the total number of goals scored in each of 43 soccer matches in a regional tournament. What is the average number of goals scored per match, to the nearest 0.1 goal.
total number of goals number of matches with this total
0 4
1 10
2 5
3 9
4 7
5 5
6 1
7 2
Answers:
A. 1.0
B. 2.8
C. 3.0
D. 6.1
E. 17.1
To find the average number of goals scored per match, we need to calculate the total number of goals scored in all matches and divide it by the total number of matches.
Total goals scored = (0 * 4) + (1 * 10) + (2 * 5) + (3 * 9) + (4 * 7) + (5 * 5) + (6 * 1) + (7 * 2) = 0 + 10 + 10 + 27 + 28 + 25 + 6 + 14 = 120
Total number of matches = 4 + 10 + 5 + 9 + 7 + 5 + 1 + 2 = 43
Average number of goals scored per match = total goals scored / total matches = 120 / 43 ≈ 2.8
Therefore, the average number of goals scored per match is 2.8 goals.
The answer is B. 2.8.