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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Bar Graph Analysis" ], "new_concepts": [ "Pie Chart Interpretation", "Percentage Representation" ], "current_concepts": [ "Bar Graph Analysis", "Pie Chart Interpretation", "Percentage Representation" ] } ## Calculate the percentage for "Other Colours" $$ \begin{aligned} &\text{Green} \approx 15\%\ &\text{Black} \approx 20\%\ &\text{White} \approx 15\%\ &\text{Other Colours} \approx 100\% - (15\% + 20\% + 15\%) = 50\% \end{aligned} $$ ## Match percentages to pie chart sectors $$ \begin{aligned} &\text{Other Colours} \approx 50\% \implies \text{Semicircle (half of the pie chart)}\ &\text{Green} \approx 15\% \implies \text{Sector of angle } 0.15 \times 360^\circ = 54^\circ\ &\text{Black} \approx 20\% \implies \text{Sector of angle } 0.20 \times 360^\circ = 72^\circ\ &\text{White} \approx 15\% \implies \text{Sector of angle } 0.15 \times 360^\circ = 54^\circ \end{aligned} $$ ## Identify the correct graph $$ \begin{aligned} &\text{Bottom-right graph shows "Other Colours" as exactly half } (50\%) \text{ of the circle.}\ &\text{The remaining half is divided into Green } (15\%), \text{ Black } (20\%), \text{ and White } (15\%). \end{aligned} $$

(A) Top-left graph (White, Green, Black sectors only)

(B) Top-right graph (White, Black, Green sectors only)

(C) Bottom-left graph (Other Colours sector is much larger than 50%)

(D) Bottom-right graph (Other Colours is 50%, with Green, Black, and White sharing the other half)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Pie Chart Interpretation" ] }

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Question

Explanation:

Calculate the percentage for "Other Colours"

Match percentages to pie chart sectors

Identify the correct graph

Answer: