Double Line Graph Comprehension worksheet displaying coin collection data for Henry and Chris over six years, with related questions.
Double line graph showing hundreds of coins collected per year by Henry and Chris from 2010 to 2016, with questions about data interpretation.
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Show Answer Key & Explanations
Step-by-step solution for: Graph Worksheets | Learning to Work with Charts and Graphs
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Show Answer Key & Explanations
Step-by-step solution for: Graph Worksheets | Learning to Work with Charts and Graphs
Let's solve each question based on the double line graph titled *"Hundreds of Coins Collected per Year"*, where:
- Red line = Henry
- Blue line = Chris
- The Y-axis represents hundreds of coins collected, so values are in hundreds.
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We'll extract data for each year:
| Year | Henry (Red) | Chris (Blue) |
|------|-------------|--------------|
| 2010 | 4 | 8 |
| 2011 | 8 | 6 |
| 2012 | 2 | 7 |
| 2013 | 1 | 1 |
| 2014 | 5 | 3 |
| 2015 | 6 | 4 |
| 2016 | 3 | 5 |
*(All values are in hundreds of coins.)*
---
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From the table:
- Henry: 8 hundreds = 800 coins
- Chris: 6 hundreds = 600 coins
Total = 800 + 600 = 1,400 coins
✔ Answer: 1,400 coins
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- Henry: 6 hundreds = 600 coins
- Chris: 4 hundreds = 400 coins
Absolute difference = |600 - 400| = 200 coins
✔ Answer: 200 coins
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Compare Henry and Chris yearly:
- 2010: 4 vs 8 → Chris > Henry
- 2011: 8 vs 6 → Henry > Chris
- 2012: 2 vs 7 → Chris > Henry
- 2013: 1 vs 1 → Equal
- 2014: 5 vs 3 → Henry > Chris
- 2015: 6 vs 4 → Henry > Chris
- 2016: 3 vs 5 → Chris > Henry
So, Henry collected more than Chris in: 2011, 2014, 2015
✔ Answer: 2011, 2014, 2015
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Add up all coins from both years:
#### 2010:
- Henry: 4 × 100 = 400
- Chris: 8 × 100 = 800
→ Total = 400 + 800 = 1,200
#### 2011:
- Henry: 8 × 100 = 800
- Chris: 6 × 100 = 600
→ Total = 800 + 600 = 1,400
Combined total = 1,200 + 1,400 = 2,600 coins
✔ Answer: 2,600 coins
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⚠️ Important: The graph shows annual data (per year), not monthly. So we cannot determine monthly data from this graph.
But let’s interpret carefully.
The graph gives data per year, so we can only compare annual totals.
We need to know in how many months Chris collected more than Henry — but we don’t have monthly data.
Therefore, this question cannot be answered accurately with the given information.
However, if the question is interpreted as asking how many years Chris collected more than Henry, then:
- 2010: Chris (8) > Henry (4) → Yes
- 2011: Henry (8) > Chris (6) → No
- 2012: Chris (7) > Henry (2) → Yes
- 2013: Equal → No
- 2014: Henry (5) > Chris (3) → No
- 2015: Henry (6) > Chris (4) → No
- 2016: Chris (5) > Henry (3) → Yes
So Chris collected more in 2010, 2012, 2016 → 3 years
But again, the question asks for months, not years.
Since the graph does not provide monthly data, it's impossible to determine how many months Chris collected more.
✘ Answer: Cannot be determined from the graph.
But if the question meant years, then answer is 3 years.
But since it says months, and no monthly data exists, we must say:
✔ Answer: Not enough information (data is annual, not monthly).
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1) 1,400 coins
2) 200 coins
3) 2011, 2014, 2015
4) 2,600 coins
5) Cannot be determined (no monthly data provided)
---
Let me know if you'd like a version of the worksheet with answers filled in!
- Red line = Henry
- Blue line = Chris
- The Y-axis represents hundreds of coins collected, so values are in hundreds.
---
Step-by-step Analysis of the Graph
We'll extract data for each year:
| Year | Henry (Red) | Chris (Blue) |
|------|-------------|--------------|
| 2010 | 4 | 8 |
| 2011 | 8 | 6 |
| 2012 | 2 | 7 |
| 2013 | 1 | 1 |
| 2014 | 5 | 3 |
| 2015 | 6 | 4 |
| 2016 | 3 | 5 |
*(All values are in hundreds of coins.)*
---
Now, answer each question:
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1) How many coins were collected by both Henry & Chris in 2011?
From the table:
- Henry: 8 hundreds = 800 coins
- Chris: 6 hundreds = 600 coins
Total = 800 + 600 = 1,400 coins
✔ Answer: 1,400 coins
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2) What was the absolute difference in coins collected between Henry & Chris during the year 2015?
- Henry: 6 hundreds = 600 coins
- Chris: 4 hundreds = 400 coins
Absolute difference = |600 - 400| = 200 coins
✔ Answer: 200 coins
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3) During which year(s) did Henry collect more coins than Chris?
Compare Henry and Chris yearly:
- 2010: 4 vs 8 → Chris > Henry
- 2011: 8 vs 6 → Henry > Chris
- 2012: 2 vs 7 → Chris > Henry
- 2013: 1 vs 1 → Equal
- 2014: 5 vs 3 → Henry > Chris
- 2015: 6 vs 4 → Henry > Chris
- 2016: 3 vs 5 → Chris > Henry
So, Henry collected more than Chris in: 2011, 2014, 2015
✔ Answer: 2011, 2014, 2015
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4) In the years of 2010 and 2011, how many coins were collected between both kids?
Add up all coins from both years:
#### 2010:
- Henry: 4 × 100 = 400
- Chris: 8 × 100 = 800
→ Total = 400 + 800 = 1,200
#### 2011:
- Henry: 8 × 100 = 800
- Chris: 6 × 100 = 600
→ Total = 800 + 600 = 1,400
Combined total = 1,200 + 1,400 = 2,600 coins
✔ Answer: 2,600 coins
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5) How many months did Chris collect more coins than Henry?
⚠️ Important: The graph shows annual data (per year), not monthly. So we cannot determine monthly data from this graph.
But let’s interpret carefully.
The graph gives data per year, so we can only compare annual totals.
We need to know in how many months Chris collected more than Henry — but we don’t have monthly data.
Therefore, this question cannot be answered accurately with the given information.
However, if the question is interpreted as asking how many years Chris collected more than Henry, then:
- 2010: Chris (8) > Henry (4) → Yes
- 2011: Henry (8) > Chris (6) → No
- 2012: Chris (7) > Henry (2) → Yes
- 2013: Equal → No
- 2014: Henry (5) > Chris (3) → No
- 2015: Henry (6) > Chris (4) → No
- 2016: Chris (5) > Henry (3) → Yes
So Chris collected more in 2010, 2012, 2016 → 3 years
But again, the question asks for months, not years.
Since the graph does not provide monthly data, it's impossible to determine how many months Chris collected more.
✘ Answer: Cannot be determined from the graph.
But if the question meant years, then answer is 3 years.
But since it says months, and no monthly data exists, we must say:
✔ Answer: Not enough information (data is annual, not monthly).
---
✔ Final Answers:
1) 1,400 coins
2) 200 coins
3) 2011, 2014, 2015
4) 2,600 coins
5) Cannot be determined (no monthly data provided)
---
Let me know if you'd like a version of the worksheet with answers filled in!
Parent Tip: Review the logic above to help your child master the concept of graph worksheet for 5th graders.