Question

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.

Answer 1

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%**