The following table shows the result of a random survey about favorite seasons. Winter Spring Summer Fall 234 673 843 425 You decide to display the information as a pie chart. What percentage would represent each season? Round to the nearest tenth. Show your work or explain how you got your answer. (4 points)

1 answer

To find the percentage that each season represents in a pie chart, we first need to calculate the total number of responses. We will then determine the percentage for each season by dividing the number of respondents who favor that season by the total number of respondents and multiplying by 100.

  1. Calculate the Total: \[ \text{Total} = \text{Winter} + \text{Spring} + \text{Summer} + \text{Fall} \] \[ \text{Total} = 234 + 673 + 843 + 425 = 2205 \]

  2. Calculate the Percentage for Each Season:

    • Winter: \[ \text{Percentage}_{\text{Winter}} = \left( \frac{234}{2205} \right) \times 100 \approx 10.6% \]
    • Spring: \[ \text{Percentage}_{\text{Spring}} = \left( \frac{673}{2205} \right) \times 100 \approx 30.6% \]
    • Summer: \[ \text{Percentage}_{\text{Summer}} = \left( \frac{843}{2205} \right) \times 100 \approx 38.2% \]
    • Fall: \[ \text{Percentage}_{\text{Fall}} = \left( \frac{425}{2205} \right) \times 100 \approx 19.3% \]
  3. Final Percentages (rounded to the nearest tenth):

    • Winter: 10.6%
    • Spring: 30.6%
    • Summer: 38.2%
    • Fall: 19.3%

Thus, summarizing:

  • Winter: 10.6%
  • Spring: 30.6%
  • Summer: 38.2%
  • Fall: 19.3%