Grade 5 Bar Graphs Worksheet
Read categorical bar graphs and explain totals and comparisons. Choose supported, standard, or challenge practice with a worked example, printable visual, and explained answers.
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Topics
Reading bar graphs
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Read categorical bar graphs and explain totals and comparisons.
Grade 5 review and application of earlier data skills. Use the stated units and scales. These activities do not claim to cover an entire Grade 5 standard.
Supported practice
Example: The Blue bar reaches 6. The Yellow bar reaches 2. Blue has 6 − 2 = 4 more votes than Yellow.
1. How many students chose Red? Read the height of its bar.
2. Which color has the fewest votes?
3. How many students chose Green and Yellow altogether?
4. How many more students chose Blue than Green?
Supported answers
1. 8 students; the Red bar reaches the tick labeled 8.
2. Yellow, with 2 votes.
3. 6 students: 4 + 2 = 6.
4. 2 students: 6 − 4 = 2.
Standard practice
Example: To find a total, add each category once. Blue and Purple together have 6 + 5 = 11 votes.
1. How many students voted altogether?
2. How many more votes did Red receive than Purple?
3. Which two colors together received the same number of votes as Red?
4. Three new students all vote for Purple. What is its new count, and which colors are tied for most votes?
Standard answers
1. 25 students: 6 + 8 + 4 + 2 + 5 = 25.
2. 3 more: 8 − 5 = 3.
3. Blue and Yellow: 6 + 2 = 8.
4. Purple has 8 votes. Purple and Red are tied at 8; the total becomes 28.
Challenge practice
Example: If a student changes a vote, subtract one from the old category and add one to the new category. The total does not change.
1. Two students change their votes from Red to Yellow. Give both new counts and the total.
2. A graph of one vote per student shows 5.5 students choosing Purple. Explain the problem.
3. Is it correct to say most students chose Red? Explain the difference between most popular and more than half.
4. Without changing existing votes, what is the smallest number of new Purple votes needed to make Purple the sole leader?
Challenge answers
1. Red becomes 6; Yellow becomes 4. There are still 25 votes.
2. A count of students must be a whole number. A half student cannot cast a vote; check the data or graph.
3. Red is the most popular single choice, but only 8 of 25 students chose it. That is fewer than half.
4. 4 new votes: Purple rises from 5 to 9, exceeding Red’s 8. Three would only create a tie.
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