Question

ayer's career statistics are shown in the table below. Find the player's average number of goals perg her career. Round to the nearest hundredth if necessary.

Answer 1

The player's average number of goals per game during her career is 1.09.

To find this value, we have that the mean and the expected value are the same things. We have that the total number of goals during her career were:

$N=37+24+15+9+0+3\Rightarrow N=88$

Then, the probability of having zero goals during her career is:

$P(1\text{goal)}=\frac{37}{88}$

And we can find the rest of the probabilities using the same procedure. Then, to find the player's average number of goals per game during her career, we can proceed as follows:

$\frac{37}{88}\cdot0+\frac{24}{88}\cdot1+\frac{15}{88}\cdot2+\frac{9}{88}\cdot3+\frac{0}{88}\cdot4+\frac{3}{88}\cdot5=1.09090909091$

If we round the result to the nearest hundredth, we will have that the average number of goals per game during the player's career was 1.09 goals per game.

In summary, we have that the