Q 39. - The Practice of Statistics for AP

Question

U.S. women’s soccer—$2004$ Earlier, we examined data on the number of goals scored by the U.S. women’s soccer team in games during the $2004$ season. The dot plot below displays the goal differential for those same games, computed as the U.S. score minus the opponent’s score

(a) Explain what the two dots above $-2$ represent.

(b) What does the graph tell us about how well the team did in $2004$? Be specific.

Step-by-Step Solution

Answer

Part (a) The two dots above $-2$ represent two times the US team lost the games by $2$ goals.

Part (b) The graph shows that the US team did well in $2004$, scoring two points less than the opponent's squad only twice out of $34$ times.

Part (a) Step 1: Given information

Given graph : 

Part (a) Step 2: Concept

The concept of a positive score is the number of goals that the US has given more than the opponent. A negative score is the less number of scores initiated by the US.

Part (a) Step 3: Explanation

The two dots above $-2$ reflect two games in which the US team was defeated by two goals. The game was won by the opposing team with a score of $2$ goals. There have been two occasions when the US side has scored two goals less than the opponent's team.

Part (b) Step 1: Explanation

The graph shows that the US team did well in $2004$, scoring two points less than the opponent's squad only twice out of $34$ times. The graph has a right-hand slant. It's one-dimensional.