To calculate the percentage representation of each season in a pie chart, you first need to find the total number of responses and then determine the percentage of each season based on that total. Here’s how you can do it step-by-step:
-
Sum the total number of responses: \[ \text{Total} = 234 (\text{Winter}) + 673 (\text{Spring}) + 843 (\text{Summer}) + 425 (\text{Fall}) \] \[ \text{Total} = 234 + 673 + 843 + 425 = 2175 \]
-
Calculate the percentage for each season: To find the percentage for each season, use the formula: \[ \text{Percentage} = \left(\frac{\text{Number of responses for the season}}{\text{Total responses}}\right) \times 100 \]
-
Winter: \[ \text{Percentage for Winter} = \left(\frac{234}{2175}\right) \times 100 \approx 10.7% \]
-
Spring: \[ \text{Percentage for Spring} = \left(\frac{673}{2175}\right) \times 100 \approx 30.9% \]
-
Summer: \[ \text{Percentage for Summer} = \left(\frac{843}{2175}\right) \times 100 \approx 38.8% \]
-
Fall: \[ \text{Percentage for Fall} = \left(\frac{425}{2175}\right) \times 100 \approx 19.5% \]
-
-
Summarize the percentages (rounded to the nearest tenth):
- Winter: 10.7%
- Spring: 30.9%
- Summer: 38.8%
- Fall: 19.5%
All percentages add up to approximately 100%, which confirms that our calculations are correct.
1 answer