Question

this line plot shows the number of points scored by the hilltown soccer team in each game last season. use the line plot above to answer the questions. 1. how many games did the hilltown soccer team play? 2. what was the least number of points the soccer team scored? 3. what was the greatest number of points scored in a soccer game? 4. in how many games did the team score 8 points? 5. what was the number of points scored most often? 6. what was the range of points scored by the team? 7. in how many games did the soccer team score between 10 and 14 points? 8. what is the mode of the points scored? 9. in how many games did the team score fewer than 10 points?

Explanation:

1. How many games did the Hilltown soccer team play?

Step1: Count the number of X's

Each X represents a game. Count all X's: \(1 + 3+5 + 1+1=11\)

2. What was the least number of points the soccer team scored?

Step1: Look at the left - most X

The left - most X is at 6.

3. What was the greatest number of points scored in a soccer game?

Step1: Look at the right - most X

The right - most X is at 14.

4. In how many games did the team score 8 points?

Step1: Count X's at 8

Count X's above 8: 3.

5. What was the number of points scored most often?

Step1: Find the value with the most X's

The value with the most X's is 10 (5 X's).

6. What was the range of points scored by the team?

Step1: Use the range formula \(Range = Max - Min\)

\(Max = 14\), \(Min = 6\). So \(14 - 6=8\)

7. In how many games did the soccer team score between 10 and 14 points?

Step1: Count X's at 10, 12, 14

X's at 10: 5, at 12: 1, at 14: 1. \(5 + 1+1=7\)

8. What is the mode of the points scored?

Step1: Recall the mode definition

The mode is the value that appears most frequently. The value with the most X's is 10.

9. In how many games did the team score fewer than 10 points?

Step1: Count X's at 6 and 8

X's at 6: 1, at 8: 3. \(1 + 3=4\)

Answer:

1. 11 games
2. 6 points
3. 14 points
4. 3 games
5. 10 points
6. 8
7. 7 games
8. 10
9. 4 games