1. Tilen threw a game die. In the table, he presented the number of throws for each number of points.

| number of points | 1 | 2 | 3 | 4 | 5 | 6 |
| :--- | :---: | :---: | :---: | :---: | :---: | :---: |
| number of throws | $3(x-2)$ | $2 x$ | $2(x-1)$ | $x+2$ | $2 x+1$ | $x$ |

a) How many times did he roll each number of points if the number of sixes represents exactly $10 \%$ of all throws?

b) Calculate the average number of points rolled.

c) Draw a frequency pie chart.

(6 points)