Pregunta
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Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. Your pie chart must be wrong, because when I added the percentages on your wedges, they totaled \( 124 \% \). Choose the correct answer below. A. The statement does not make sense because pie charts are used primarily for relative frequencies, which can add to any total percentage. B. The statement does not make sense because pie charts are used primarily for relative frequencies, which can add to any total degrees. C. The statement makes sense because pie charts are used primarily for relative frequencies, so the total pie must always represent the total relative frequency of \( 100 \% \). D. The statement makes sense because pie charts are used primarily for relative frequencies, so the total pie must always represent the total relative frequency of \( 360^{\circ} \).

Ask by Donnelly Mullins. in the United States
Mar 05,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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The statement makes sense because pie charts represent parts of a whole, so the total percentages should add up to 100%. Since the wedges added up to 124%, the pie chart is incorrect.

Solución

Below is a step-by-step explanation: 1. **Nature of Pie Charts:** Pie charts represent data as parts of a whole, with each wedge corresponding to a percentage of the total. By definition, the sum of all these percentages must equal \(100\%\). 2. **Evaluating the Statement:** The statement says that the pie chart has wedges that add up to \(124\%\). This is problematic because if the data were correctly represented, the percentages should sum to exactly \(100\%\). A total of \(124\%\) indicates an error in the pie chart. 3. **Correct Answer:** Since pie charts are used primarily for relative frequencies where the parts represent percentages of a whole, the only reasonable conclusion is that the pie chart is in error. This corresponds to Option C: **C. The statement makes sense because pie charts are used primarily for relative frequencies, so the total pie must always represent the total relative frequency of \(100\%\).** Thus, Option C is the correct answer.

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Beyond the Answer

C. The statement makes sense because pie charts are used primarily for relative frequencies, so the total pie must always represent the total relative frequency of \( 100 \% \). A pie chart visually represents parts of a whole, and in a correctly constructed pie chart, the sum of the percentages for each section (or wedge) must equal \( 100 \% \). If the wedges in the provided pie chart total \( 124\% \), it indicates a clear error in the data representation. Therefore, the claim that the pie chart is wrong is indeed valid and makes perfect sense. In contrast, degrees (as referenced in option D) pertain to angles rather than percentages, so that option does not address the primary concern with the pie chart's integrity in terms of total percentage.

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