Question

U.S. women’s soccer—2016 Earlier, we examined data on the number of goals scored by the 2016 U.S. women’s soccer team in 20 games played. The following dotplot displays the goal differential for those same games, computed as U.S. goals scored minus opponent goals scored.

Part (a). Explain what the dot above 3 represents.

Part (b). What does the graph tell us about how well the team did in 2016? Be specific.

Short answer

Part (a) In one game, the 2016 US soccer team outscored the opponent by three goals.

Part (b) The 2016 US soccer team appears to have played very well, as they tied three games and won the rest.

Step-by-step solution

Part (a) Step 1. Given information.

2016 U.S. Women's Soccer Championship Previously, we looked at data on the number of goals scored by the 2016 US women's soccer team in 20 games.

Part (a) Step 2. The dot above 3 represents.   

The dots in the dotplot represent the number of goals scored in a game between the 2016 United States women's soccer team and an opponent.

The dot above 3 represents one game in which the 2016 US soccer team scored three goals more than the adversary

In one game, the 2016 US soccer team outscored the opponent by three goals.

Part (b) Step 1. The difference in the number of goals is represented by a dotplot.

The dots in the dotplot represent the number of goals scored in a game between the 2016 United States women's soccer team and an opponent.

We can see that there are three dots above zero, implying that the 2016 US women's soccer team scored the same number of goals as their opponent in three games, and thus tied three games.

All other dots in the dotplot are placed above a positive integer, implying that the 2016 U.S. women's soccer team scored more goals than their opponents in the other games and thus won all games except the three tied games.

The 2016 US soccer team appears to have played very well, as they tied three games and won the rest.