Grade 5 Math: Data Comparison
Compare categories and totals using compatible units. Choose supported, standard, or challenge practice with a worked example, printable visual, and explained answers.
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Use This WorksheetIncludes
Topics
Comparing two datasets
Name: Date:
Compare categories and totals using compatible units.
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: Tray A has 12 bean seedlings and B has 9, so A has 12 − 9 = 3 more bean seedlings.
1. Which tray has more pea seedlings?
2. Which plant has the same count in both trays?
3. How many more peas are in B than A?
4. How many bean seedlings are there in both trays together?
Supported answers
1. Tray B: 11 compared with 8.
2. Corn, with 10 in each tray.
3. 3 more: 11 − 8.
4. 21: 12 + 9.
Standard practice
Example: A larger count in one category does not necessarily mean a larger overall total.
1. Find each tray’s total.
2. Explain how different bean and pea counts can still give equal tray totals.
3. Which plant has the greatest combined count?
4. If 2 more peas sprout in A, what is its new total and difference from B?
Standard answers
1. A: 12 + 8 + 10 = 30. B: 9 + 11 + 10 = 30.
2. A has 3 more beans but 3 fewer peas; those differences cancel. Corn counts match.
3. Beans: 21, compared with peas 19 and corn 20.
4. A has 32 seedlings, 2 more than B’s 30.
Challenge practice
Example: Counts alone do not establish success rates. We must also know how many seeds were planted.
1. Can we conclude A’s bean seeds had a higher germination rate?
2. Suppose A planted 24 bean seeds and B planted 9. Compare the bean success fractions.
3. If each tray started with the same number of each seed, what comparison is supported?
4. A graph uses intervals of 2 for A and 5 for B. Why compare labeled values instead of drawn heights?
Challenge answers
1. No. A has more seedlings, but we do not know how many bean seeds were planted in either tray.
2. A: 12/24 = 1/2. B: 9/9 = 1. B has a higher success fraction despite fewer seedlings.
3. A produced more bean seedlings, B more pea seedlings, and both equal corn seedlings. This alone does not establish a cause.
4. The scales differ, so equal heights can represent different counts. Compare values or redraw with a shared scale.
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