Sports Stats Graph Worksheet
Data & Statistics Practice
Goal Trackers: Reading Bar Graphs
Soccer Championship Series
Name:
Date:
Class Period:
Tournament Goals Scored by Team
Each gridline = 2 goals
20 18 16 14 12 10 8 6 4 2 0 Goals Scored Cobras Rapids Phoenix Strikers Wolves Thunder
Vocabulary Key:
“At least” means that value or greater (≥).
“At most” means that value or fewer (≤).
1 Combined Total
What is the total number of goals scored by the Strikers and the Thunder combined?
Answer:
goals
2 Least Frequency
Which team scored the least frequency (fewest goals), and how many did they score?
Team: Goals:
3 “At Least” Range Condition
How many teams scored at least 14 goals? List the teams that qualify.
Teams: Total:
4 “At Most” Range Condition
How many teams scored at most 12 goals? List the teams that qualify.
Teams: Total:
5 Tournament Spread & Comparison
Analysis
How many more goals did the team with the greatest frequency score than the team with the least frequency? Show the two team values and subtract.
Calculation: Difference: goals
Double-check your values against the bar graph axis before submitting. Show all addition and subtraction steps in the workspace.
Sports Stats Graph Answer Key
Teacher Reference & Solutions ANSWER KEY
Goal Trackers: Reading Bar Graphs
Standards Aligned Data Analysis & Inequalities
Graph Data Summary (Goals Scored) Total Tournament Goals = 74
Cobras 6
Rapids 8
Phoenix 12
Strikers 14
Wolves 16
Thunder 18
1 Combined Total (Strikers + Thunder)
Answer: 32 goals
Step-by-Step: Read Strikers bar = 14 goals; read Thunder bar = 18 goals. 14 + 18 = 32
Common error: misreading grid lines by 1 instead of 2.
2 Least Frequency (Minimum Value)
Answer: Cobras (6 goals)
Step-by-Step: Identify the shortest bar on the graph: Cobras with a height aligning to 6 on the vertical axis.
Vocabulary note: “Least frequency” means the lowest count.
3 “At Least” Condition (≥ 14 goals)
Answer: 3 teams (Strikers, Wolves, Thunder)
Step-by-Step: “At least 14” means 14 or more (Value ≥ 14). Qualifying teams: Strikers (14), Wolves (16), Thunder (18). Total = 3 teams.
Key Misconception Alert: Students often think “at least 14” means strictly greater than 14, accidentally leaving out the Strikers (14). Emphasize that the threshold value (14) is included.
4 “At Most” Condition (≤ 12 goals)
Answer: 3 teams (Cobras, Rapids, Phoenix)
Step-by-Step: “At most 12” means 12 or fewer (Value ≤ 12). Qualifying teams: Cobras (6), Rapids (8), Phoenix (12). Total = 3 teams.
Key Misconception Alert: The word “most” tricks some students into looking for the maximum bar (Thunder = 18). Remind students that “at most” establishes an upper ceiling/limit, not the highest category.
5 Comparative Spread (Max − Min)
Answer: 18 − 6 = 12 more goals
Step-by-Step: Highest frequency = Thunder (18); Lowest frequency = Cobras (6). 18 − 6 = 12
Also known as the range of the data set.
Teacher Facilitation & Discussion Prompts
Sentence Stem for Students: “Because it says at least 14, 14 is the floor, so any team with 14 or higher counts.”
Quick Check Extension: Ask students: “How many total goals were scored across the entire tournament?” (6+8+12+14+16+18 = 74 goals).
Sports Statistics Data Interpretation Series • For Classroom Instruction & Evaluation