Summarize a Dataset without Losing Its Meaning
Add the supplied counts only when every number represents the same kind of quantity.
About 18 minutes, plus any extended practice
Supplied materials
- Paper and pencil; answers may also be spoken or typed.
- All cases, labels, numbers and rules are supplied on this page. No real account, private information or purchase is needed.
Learn the idea
A summary combines recorded values for a purpose. A total count adds quantities for different items in the same unit. It should not add category codes or mix incompatible units. The worked data is complete and fictional; the answer describes only these rows.
Add the supplied counts only when every number represents the same kind of quantity. A total loses meaning if kilograms and item counts are combined.
Use this supplied case: Complete fictional box counts are 2, 3 and 4 tiles. What is the total? Use the details in this example. Say which detail helped you choose. This pretend example does not tell us how every real system works.
- Follow the worked example one step at a time. Say or draw what happens.
- Add the supplied counts only when every number represents the same kind of quantity.
- Say which detail makes the example answer fit. Pick another answer and say why it does not fit.
- Try the question and practice questions. Read the rule again if your answer does not match the explanation.
See the method in action
Complete fictional box counts are 2, 3 and 4 tiles. What is the total? The supported answer is 9 tiles. Applying the stated rule gives 9 tiles. Add the supplied counts only when every number represents the same kind of quantity. A total loses meaning if kilograms and item counts are combined. Calculation: ((2+3)+4) = 9.
Check your reasoning
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Helpful tips
- Add the supplied counts only when every number represents the same kind of quantity.
- A total loses meaning if kilograms and item counts are combined.
See the answer and explanation
10 tiles
Using the supplied inputs: ((3+5)+2) = 10. Add the supplied counts only when every number represents the same kind of quantity. A total loses meaning if kilograms and item counts are combined.
Take it further
New complete counts:5, 7, 2. Expected:14 items. If the final count becomes unknown, 12 is only a known subtotal.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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Check the subject sources
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