Use the table to answer the question.

The following table shows the result of a random survey about favorite seasons.

Winter
234

Spring
673

Summer
843

Fall
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.

1 answer

To find the percentage that each season represents in a pie chart, we first need to calculate the total number of respondents surveyed. Then, we can find the percentage for each season by using the formula:

\[ \text{Percentage} = \left( \frac{\text{Number of respondents for the season}}{\text{Total number of respondents}} \right) \times 100 \]

Let’s go through the steps.

  1. Calculate the total number of respondents:

    \[ \text{Total} = 234 + 673 + 843 + 425 \]

    \[ \text{Total} = 234 + 673 = 907 \] \[ \text{Total} = 907 + 843 = 1750 \] \[ \text{Total} = 1750 + 425 = 2175 \]

    So, the total number of respondents is 2175.

  2. Calculate the percentage for each season:

    • Winter: \[ \text{Percentage} = \left( \frac{234}{2175} \right) \times 100 \approx 10.7% \]

    • Spring: \[ \text{Percentage} = \left( \frac{673}{2175} \right) \times 100 \approx 30.9% \]

    • Summer: \[ \text{Percentage} = \left( \frac{843}{2175} \right) \times 100 \approx 38.8% \]

    • Fall: \[ \text{Percentage} = \left( \frac{425}{2175} \right) \times 100 \approx 19.5% \]

  3. Rounding to the nearest tenth:

    • Winter: 10.7%
    • Spring: 30.9%
    • Summer: 38.8%
    • Fall: 19.5%

In summary, the percentages for each season represented in a pie chart are approximately:

  • Winter: 10.7%
  • Spring: 30.9%
  • Summer: 38.8%
  • Fall: 19.5%