Math worksheet featuring a line plot of Jackson's running distances with comprehension questions below.
Interpreting Line Plots Worksheet #1 showing distance Jackson ran with questions.
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Step-by-step solution for: Interpreting Line Plots with Fractions #1 - WORKSHEET for students!
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Show Answer Key & Explanations
Step-by-step solution for: Interpreting Line Plots with Fractions #1 - WORKSHEET for students!
Let’s solve this step by step.
We are given a line plot showing how far Jackson ran each day for 9 days. The distances are marked with X’s above numbers on a number line (in miles). Let’s count the X’s at each distance:
- At 1 mile: there are 2 X’s → so he ran 1 mile on 2 days.
- At 2 miles: there are 3 X’s → so he ran 2 miles on 3 days.
- At 4 miles: there are 4 X’s → so he ran 4 miles on 4 days.
Total days = 2 + 3 + 4 = 9 days — that matches the problem.
Now let’s answer each question one by one.
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1. What does each X represent?
Each X represents one day that Jackson ran that distance.
→ Answer: One day
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2. How many days did Jackson run?
We already counted: 2 + 3 + 4 = 9 days
→ Answer: 9
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3. What is the greatest distance Jackson ran?
Look at the farthest right X on the number line → it’s at 4 miles
→ Answer: 4 miles
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4. How many days did Jackson run ¼ of a mile?
Check the line plot — is there an X at ¼? No. All X’s are at 1, 2, or 4.
→ Answer: 0
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5. How many days did Jackson run 2/4 of a mile?
2/4 simplifies to ½. Is there an X at ½? No. Again, only 1, 2, and 4 have X’s.
→ Answer: 0
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6. How many days did Jackson run 1 mile?
Count the X’s above “1” → there are 2
→ Answer: 2
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7. What is the total distance that Jackson ran?
We need to add up all the miles he ran over the 9 days.
- He ran 1 mile on 2 days → 1 × 2 = 2 miles
- He ran 2 miles on 3 days → 2 × 3 = 6 miles
- He ran 4 miles on 4 days → 4 × 4 = 16 miles
Total = 2 + 6 + 16 = 24 miles
→ Answer: 24 miles
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8. What is the difference in distance between the longest distance and the shortest distance that Jackson ran?
Longest = 4 miles
Shortest = 1 mile (since those are the smallest and largest values with X’s)
Difference = 4 - 1 = 3 miles
→ Answer: 3 miles
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9. If Jackson adds his total distance to the country to each of the days he ran, how much would he have run each day?
Wait — this wording is confusing. Let’s read carefully:
> “If Jackson adds his total distance to the country to each of the days he ran, how much would he have run each day?”
This doesn’t make sense as written. But looking at context, maybe it means:
“If Jackson had run the same distance every day, and that distance was equal to his total distance divided by the number of days, how much would he have run each day?”
That would be the average per day.
Total distance = 24 miles
Number of days = 9
Average per day = 24 ÷ 9 = 2.666... miles, or 2⅔ miles
But let’s check if the question meant something else.
Alternative interpretation: Maybe “adds his total distance to the country” is a typo or misphrase. Perhaps it meant “if he distributed his total distance equally across each day”.
That makes more sense for a 5th grade worksheet.
So yes — average per day = 24 ÷ 9 = 8/3 = 2⅔ miles
→ Answer: 2⅔ miles (or 2.67 if decimal is allowed, but fraction is better here)
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Final Answers:
1. One day
2. 9
3. 4 miles
4. 0
5. 0
6. 2
7. 24 miles
8. 3 miles
9. 2⅔ miles
──────────────────────────────────────
Final Answer:
1. One day
2. 9
3. 4 miles
4. 0
5. 0
6. 2
7. 24 miles
8. 3 miles
9. 2⅔ miles
We are given a line plot showing how far Jackson ran each day for 9 days. The distances are marked with X’s above numbers on a number line (in miles). Let’s count the X’s at each distance:
- At 1 mile: there are 2 X’s → so he ran 1 mile on 2 days.
- At 2 miles: there are 3 X’s → so he ran 2 miles on 3 days.
- At 4 miles: there are 4 X’s → so he ran 4 miles on 4 days.
Total days = 2 + 3 + 4 = 9 days — that matches the problem.
Now let’s answer each question one by one.
---
1. What does each X represent?
Each X represents one day that Jackson ran that distance.
→ Answer: One day
---
2. How many days did Jackson run?
We already counted: 2 + 3 + 4 = 9 days
→ Answer: 9
---
3. What is the greatest distance Jackson ran?
Look at the farthest right X on the number line → it’s at 4 miles
→ Answer: 4 miles
---
4. How many days did Jackson run ¼ of a mile?
Check the line plot — is there an X at ¼? No. All X’s are at 1, 2, or 4.
→ Answer: 0
---
5. How many days did Jackson run 2/4 of a mile?
2/4 simplifies to ½. Is there an X at ½? No. Again, only 1, 2, and 4 have X’s.
→ Answer: 0
---
6. How many days did Jackson run 1 mile?
Count the X’s above “1” → there are 2
→ Answer: 2
---
7. What is the total distance that Jackson ran?
We need to add up all the miles he ran over the 9 days.
- He ran 1 mile on 2 days → 1 × 2 = 2 miles
- He ran 2 miles on 3 days → 2 × 3 = 6 miles
- He ran 4 miles on 4 days → 4 × 4 = 16 miles
Total = 2 + 6 + 16 = 24 miles
→ Answer: 24 miles
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8. What is the difference in distance between the longest distance and the shortest distance that Jackson ran?
Longest = 4 miles
Shortest = 1 mile (since those are the smallest and largest values with X’s)
Difference = 4 - 1 = 3 miles
→ Answer: 3 miles
---
9. If Jackson adds his total distance to the country to each of the days he ran, how much would he have run each day?
Wait — this wording is confusing. Let’s read carefully:
> “If Jackson adds his total distance to the country to each of the days he ran, how much would he have run each day?”
This doesn’t make sense as written. But looking at context, maybe it means:
“If Jackson had run the same distance every day, and that distance was equal to his total distance divided by the number of days, how much would he have run each day?”
That would be the average per day.
Total distance = 24 miles
Number of days = 9
Average per day = 24 ÷ 9 = 2.666... miles, or 2⅔ miles
But let’s check if the question meant something else.
Alternative interpretation: Maybe “adds his total distance to the country” is a typo or misphrase. Perhaps it meant “if he distributed his total distance equally across each day”.
That makes more sense for a 5th grade worksheet.
So yes — average per day = 24 ÷ 9 = 8/3 = 2⅔ miles
→ Answer: 2⅔ miles (or 2.67 if decimal is allowed, but fraction is better here)
---
Final Answers:
1. One day
2. 9
3. 4 miles
4. 0
5. 0
6. 2
7. 24 miles
8. 3 miles
9. 2⅔ miles
──────────────────────────────────────
Final Answer:
1. One day
2. 9
3. 4 miles
4. 0
5. 0
6. 2
7. 24 miles
8. 3 miles
9. 2⅔ miles
Parent Tip: Review the logic above to help your child master the concept of line plot worksheet with fractions.
