š Statistics District Ā· Pie charts
Read and construct comparing pie charts using accurate scales, totals and labels. In this lesson, focus on a statistical chart must represent each frequency honestly.
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Read and construct comparing pie charts using accurate scales, totals and labels. In this lesson, focus on a statistical chart must represent each frequency honestly.
A statistical chart must represent each frequency honestly. Bars use a consistent scale, pictograms depend on their key, and pie-chart sectors convert category proportions into angles out of 360 degrees. For comparing pie charts, the final written answer should make that exact relationship visible rather than hiding it inside an unexplained result.
Comparing pie charts: A statistical chart must represent each frequency honestly. Read every category back from the finished chart and compare with the original table. Keep the comparing pie charts representation visible until the final line.
Edit a frequency table and watch the matching chart redraw with labelled scales and categories. Use the model to explain one change you notice while working on comparing pie charts.
Read every category back from the finished chart and compare with the original table. Write that check beside the final comparing pie charts answer.
Given information: Comparing pie charts ā 10 of 40 pupils chose cycling. Find the pie-chart sector angle. Method choice: Identify the values, frequencies or categories that answer the question. Quote the numbers being compared and link the conclusion to the context. Calculation or reasoning: 10 Ć· 40 Ć 360 = 90Ā°. Final answer: 90. Check: Quote the numbers being compared and link the conclusion to the context.
Visual / interactive
Edit a frequency table and watch the matching chart redraw with labelled scales and categories. Use the model to explain one change you notice while working on comparing pie charts.
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 pie charts ā 10 of 40 pupils chose cycling. Find the pie-chart sector angle. Method choice: use the comparing pie charts method and show each step with the stated values. Calculation or reasoning: 10 Ć· 40 Ć 360 = 90Ā°. Final answer: 90. Check: substitute or compare with the original information to confirm the result fits the question.
Given information: Comparing pie charts ā A pie-chart sector is 180Ā°. What proportion of the whole circle is this? Method choice: use the comparing pie charts method and show each step with the stated values. Calculation or reasoning: Divide the sector by the full turn: 180/360 = 3/6. Final answer: 3/6. Check: substitute or compare with the original information to confirm the result fits the question.
Check: Check the comparing pie charts result against the original information.
Given information: Comparing pie charts ā A 288Ā° sector represents cycling in a survey of 100 pupils. How many pupils chose cycling? Method choice: use the comparing pie charts method and show each step with the stated values. Calculation or reasoning: 288 Ć· 360 Ć 100 = 80. Final answer: 80. 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 pie charts ā 40 of 50 pupils chose cycling. Find the pie-chart sector angle. Method choice: use the comparing pie charts method and show each step with the stated values. Calculation or reasoning: 40 Ć· 50 Ć 360 = 288Ā°. Final answer: 288. Check: substitute or compare with the original information to confirm the result fits the question.
Read every category back from the finished chart and compare with the original table. Write that check beside the final comparing pie charts answer.
Create a comparing pie charts problem with a tempting incorrect answer. Solve it, apply the check, and explain exactly where the incorrect method breaks down.
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Year 8 practice studio
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Use chart builder controls to solve three checked comparing pie charts rounds. Solve at least two of three marked rounds and use feedback to correct any error.
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Study cards and flashcards Ā· always open
Comparing pie charts: A statistical chart must represent each frequency honestly. Read every category back from the finished chart and compare with the original table. Keep the comparing pie charts representation visible until the final line.
Tap to mark reviewedfrequency Ā· scale Ā· axis Ā· category Ā· proportion Ā· comparing Ā· pie
Tap to mark reviewedFind the total and inspect the scale or key. Convert each frequency into the chart representation. Draw or read values accurately. Check labels and compare the represented total with the source data. Record the check explicitly for comparing pie charts.
Tap to mark reviewedGiven information: Comparing pie charts ā 10 of 40 pupils chose cycling. Find the pie-chart sector angle. Method choice: Identify the values, frequencies or categories that answer the question. Quote the numbers being compared and link the conclusion to the context. Calculation or reasoning: 10 Ć· 40 Ć 360 = 90Ā°. Final answer: 90. Check: Quote the numbers being compared and link the conclusion to the context.
Tap to mark reviewedGiven information: Comparing pie charts ā 10 of 40 pupils chose cycling. Find the pie-chart sector angle. Method choice: use the comparing pie charts method and show each step with the stated values. Calculation or reasoning: 10 Ć· 40 Ć 360 = 90Ā°. Final answer: 90. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Comparing pie charts ā A pie-chart sector is 180Ā°. What proportion of the whole circle is this? Method choice: use the comparing pie charts method and show each step with the stated values. Calculation or reasoning: Divide the sector by the full turn: 180/360 = 3/6. Final answer: 3/6. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Comparing pie charts ā A 288Ā° sector represents cycling in a survey of 100 pupils. How many pupils chose cycling? Method choice: use the comparing pie charts method and show each step with the stated values. Calculation or reasoning: 288 Ć· 360 Ć 100 = 80. Final answer: 80. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Comparing pie charts ā 40 of 50 pupils chose cycling. Find the pie-chart sector angle. Method choice: use the comparing pie charts method and show each step with the stated values. Calculation or reasoning: 40 Ć· 50 Ć 360 = 288Ā°. Final answer: 288. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedIgnoring the pictogram key or axis scale. This is a key trap when answering comparing pie charts questions.
Tap to mark reviewedFor comparing pie charts, show the key representation before the final calculation. Use this final check: Read every category back from the finished chart and compare with the original table.
Tap to mark reviewedSurveys, Reports and presentations
Tap to mark reviewedI can explain comparing pie charts, use the method, check for mistakes, and answer an exam-style question.
Tap to mark reviewedIām Stuck
Use this whenever a question feels confusing. Nothing here is locked.
Comparing pie charts: A statistical chart must represent each frequency honestly. Read every category back from the finished chart and compare with the original table. Keep the comparing pie charts representation visible until the final line.
Think of comparing pie charts 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 pie charts.
Find the total and inspect the scale or key.
Given information: Comparing pie charts ā 10 of 40 pupils chose cycling. Find the pie-chart sector angle. Method choice: use the comparing pie charts method and show each step with the stated values. Calculation or reasoning: 10 Ć· 40 Ć 360 = 90Ā°. Final answer: 90. Check: substitute or compare with the original information to confirm the result fits the question.
Method: Find the total and inspect the scale or key. ā Convert each frequency into the chart representation. ā Draw or read values accurately. ā Check labels and compare the represented total with the source data. Record the check explicitly for comparing pie charts.
Ignoring the pictogram key or axis scale. This is a key trap when answering comparing pie charts questions.
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