📊 Statistics District · Reasoning
Use real data and precise language to work confidently with comparing data sets. In this lesson, focus on data work begins with a clear question and ends with a supported conclusion.
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Use real data and precise language to work confidently with comparing data sets. In this lesson, focus on data work begins with a clear question and ends with a supported conclusion.
Data work begins with a clear question and ends with a supported conclusion. Choose an honest representation, calculate relevant summaries and quote evidence rather than relying on vague impressions. For comparing data sets, the final written answer should make that exact relationship visible rather than hiding it inside an unexplained result.
Comparing data sets: Data work begins with a clear question and ends with a supported conclusion. Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question. Keep the comparing data sets representation visible until the final line.
Build a frequency table from raw values and switch between chart and summary views before writing a conclusion. Use the model to explain one change you notice while working on comparing data sets.
Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question. Write that check beside the final comparing data sets answer.
Given information: Comparing data sets — Set A has median 8 and range 4. Set B has median 8 and range 7. Which set is more consistent? Justify your choice using the ranges. Method choice: Use the medians to compare typical values and the ranges to compare consistency. Quote both values before writing a comparison sentence. Calculation or reasoning: Compare the ranges: Set A has range 4 and Set B has range 7. Since 4 < 7, Set A is more consistent. Model sentence: Set A is more consistent because its range is smaller. Final answer: Set A. Check: Quote both values before writing a comparison sentence.
Visual / interactive
Build a frequency table from raw values and switch between chart and summary views before writing a conclusion. Use the model to explain one change you notice while working on comparing data sets.
Worked examples
Understand the idea with small numbers, one representation and one clear step.
Use the standard Year 8 method with mixed examples and normal wording.
Handle multi-step or less familiar questions and explain choices.
Solve a worded question, show reasoning, check accuracy and write a final sentence.
Given information: Comparing data sets — Set A has median 8 and range 4. Set B has median 8 and range 7. Which set is more consistent? Method choice: use the comparing data sets method and show each step with the stated values. Calculation or reasoning: Set A has the smaller range (4), so its values are more consistent. Final answer: Set A. Check: substitute or compare with the original information to confirm the result fits the question.
Given information: Comparing data sets — Set A has median 10 and range 5. Set B has median 11 and range 9. Which set has the higher typical value? Method choice: use the comparing data sets method and show each step with the stated values. Calculation or reasoning: Compare the medians: 10 and 11. Set B has the higher typical value. Final answer: Set B. Check: substitute or compare with the original information to confirm the result fits the question.
Check: Check the comparing data sets result against the original information.
Given information: Comparing data sets — Set A has median 12 and range 6. Set B has median 12 and range 11. Which set is more consistent? Method choice: use the comparing data sets method and show each step with the stated values. Calculation or reasoning: Set A has the smaller range (6), so its values are more consistent. Final answer: Set A. Check: substitute or compare with the original information to confirm the result fits the question.
Try explaining why each step works before checking the answer.
Given information: Comparing data sets — Set A has median 9 and range 7. Set B has median 10 and range 8. Which set has the higher typical value? Method choice: use the comparing data sets method and show each step with the stated values. Calculation or reasoning: Compare the medians: 9 and 10. Set B has the higher typical value. Final answer: Set B. Check: substitute or compare with the original information to confirm the result fits the question.
Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question. Write that check beside the final comparing data sets answer.
Create a comparing data sets problem with a tempting incorrect answer. Solve it, apply the check, and explain exactly where the incorrect method breaks down.
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Use evidence case controls to solve three checked comparing data sets rounds. Solve at least two of three marked rounds and use feedback to correct any error.
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Comparing data sets: Data work begins with a clear question and ends with a supported conclusion. Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question. Keep the comparing data sets representation visible until the final line.
Tap to mark revieweddata · frequency · sample · comparison · evidence · comparing · sets
Tap to mark reviewedIdentify the question and the type of data. Organise values carefully and choose a suitable display or summary. Calculate or read the relevant evidence. Write a contextual conclusion supported by values. Record the check explicitly for comparing data sets.
Tap to mark reviewedGiven information: Comparing data sets — Set A has median 8 and range 4. Set B has median 8 and range 7. Which set is more consistent? Justify your choice using the ranges. Method choice: Use the medians to compare typical values and the ranges to compare consistency. Quote both values before writing a comparison sentence. Calculation or reasoning: Compare the ranges: Set A has range 4 and Set B has range 7. Since 4 < 7, Set A is more consistent. Model sentence: Set A is more consistent because its range is smaller. Final answer: Set A. Check: Quote both values before writing a comparison sentence.
Tap to mark reviewedGiven information: Comparing data sets — Set A has median 8 and range 4. Set B has median 8 and range 7. Which set is more consistent? Method choice: use the comparing data sets method and show each step with the stated values. Calculation or reasoning: Set A has the smaller range (4), so its values are more consistent. Final answer: Set A. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Comparing data sets — Set A has median 10 and range 5. Set B has median 11 and range 9. Which set has the higher typical value? Method choice: use the comparing data sets method and show each step with the stated values. Calculation or reasoning: Compare the medians: 10 and 11. Set B has the higher typical value. Final answer: Set B. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Comparing data sets — Set A has median 12 and range 6. Set B has median 12 and range 11. Which set is more consistent? Method choice: use the comparing data sets method and show each step with the stated values. Calculation or reasoning: Set A has the smaller range (6), so its values are more consistent. Final answer: Set A. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Comparing data sets — Set A has median 9 and range 7. Set B has median 10 and range 8. Which set has the higher typical value? Method choice: use the comparing data sets method and show each step with the stated values. Calculation or reasoning: Compare the medians: 9 and 10. Set B has the higher typical value. Final answer: Set B. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedUsing a vague conclusion without numbers. This is a key trap when answering comparing data sets questions.
Tap to mark reviewedFor comparing data sets, show the key representation before the final calculation. Use this final check: Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question.
Tap to mark reviewedSurvey design, Evidence-based decisions
Tap to mark reviewedI can explain comparing data sets, use the method, check for mistakes, and answer an exam-style question.
Tap to mark reviewedI’m Stuck
Use this whenever a question feels confusing. Nothing here is locked.
Comparing data sets: Data work begins with a clear question and ends with a supported conclusion. Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question. Keep the comparing data sets representation visible until the final line.
Think of comparing data sets as a careful model: make the important values visible, change one thing at a time, and use the check to prove the answer fits.
Start by naming the given information and the exact result required for comparing data sets.
Identify the question and the type of data.
Given information: Comparing data sets — Set A has median 8 and range 4. Set B has median 8 and range 7. Which set is more consistent? Method choice: use the comparing data sets method and show each step with the stated values. Calculation or reasoning: Set A has the smaller range (4), so its values are more consistent. Final answer: Set A. Check: substitute or compare with the original information to confirm the result fits the question.
Method: Identify the question and the type of data. → Organise values carefully and choose a suitable display or summary. → Calculate or read the relevant evidence. → Write a contextual conclusion supported by values. Record the check explicitly for comparing data sets.
Using a vague conclusion without numbers. This is a key trap when answering comparing data sets questions.
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