Question

The total number of goals scored in each of $43$ soccer matches in a tournament is shown in the following table. Find the average number of goals scored per match, to the nearest $0.1$ goal.

Total number of goals in a match	Number of matches with this total
0	4
1	10
2	5
3	9
4	7
5	5
6	1
7	2

• A. $1.0$
• B. $2.8$
• C. $3.0$
• D. $6.1$
• E. $17.14$

Answer 1

The correct option is B $2.8$

Average number of goals $=$ $\frac{\text{Total no. of goals}}{\text{total no. of matches}}$

$\Rightarrow \frac{4\times 0+10\times 1+5\times 2+9\times 3+7\times 4+5\times 5+6\times 1+7\times 2}{43}$

$\Rightarrow \frac{+10+10+27+28+25+6+14}{43}=\frac{120}{43}=2.79=2.8$