B1. The table with columns shows the number of goals scored in the matches of the last World Cup qualifying tournament.

A How many matches were played?

B What was the average number of goals scored per match? Write the result to two decimal places.

C What percentage of matches had fewer goals than the average?

![](https://cdn.mathpix.com/cropped/2024_06_07_474093644c4c736111d0g-3.jpg?height=982&width=848&top_left_y=840&top_left_x=1072)
B1. From the table, we read that the number of matches played is $5+8+14+9+8+2+2=48$. On average, the number of goals scored per match is $\frac{5 \cdot 0+8 \cdot 1+14 \cdot 2+9 \cdot 3+8 \cdot 4+2 \cdot 5+2 \cdot 6}{48}=2.4375$. In 27 matches, the teams scored fewer goals than the average, which represents $\frac{27}{48}=56.25\%$.

A Answer, e.g.: 48 matches were played.

B The calculated average number of goals per match:

$\frac{5 \cdot 0+8 \cdot 1+14 \cdot 2+9 \cdot 3+8 \cdot 4+2 \cdot 5+2 \cdot 6}{48}=2.4375 \approx 2.44$ $1 \text{t}$

Answer, e.g.: On average, 2.44 goals were scored per match. $1 \mathbf{t}$

C The calculated percentage $\frac{27}{48}=0.5625=56.25\% \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots 1$ t Answer, e.g.: In $56.25\%$ of the matches, the teams scored fewer goals than the average. . 1 t