To analyze the survey data regarding preferred fruit (cherries or grapes) based on respondents' locations in the North or South of a state, we can first summarize the data in a clearer format:
| Location | Cherries | Grapes | Total | |----------|----------|--------|-------| | North | 120 | 125 | 245 | | South | 25 | 75 | 100 | | Total| 145 | 200| 345|
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Calculate Total Preferences:
- For the North:
- Total respondents: 120 (Cherries) + 125 (Grapes) = 245
- For the South:
- Total respondents: 25 (Cherries) + 75 (Grapes) = 100
- For the North:
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Overall Preferences:
- Total respondents for the survey: 245 (North) + 100 (South) = 345
- Total preferring Cherries: 120 (North) + 25 (South) = 145
- Total preferring Grapes: 125 (North) + 75 (South) = 200
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Percentage of Preferences:
- Percentage of North respondents preferring Cherries: \((120 / 245) \times 100 \approx 48.98%\)
- Percentage of North respondents preferring Grapes: \((125 / 245) \times 100 \approx 51.02%\)
- Percentage of South respondents preferring Cherries: \((25 / 100) \times 100 = 25%\)
- Percentage of South respondents preferring Grapes: \((75 / 100) \times 100 = 75%\)
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Overall Preference Distribution:
- Overall percentage of respondents preferring Cherries: \((145 / 345) \times 100 \approx 42.03%\)
- Overall percentage of respondents preferring Grapes: \((200 / 345) \times 100 \approx 57.97%\)
Conclusion:
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Location Preferences:
- In the North, preference is almost even between Cherries and Grapes, but slightly more people preferred Grapes.
- In the South, there is a clear preference for Grapes over Cherries.
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Overall Trend:
- Grapes are generally more preferred across both regions of the state, with 57.97% of respondents opting for Grapes and 42.03% choosing Cherries.
This data could be useful for businesses or organizations to understand regional fruit preferences for marketing, sales, or agricultural planning.