Certainly! Let's calculate the relative frequencies step by step.
### Republican Residents of County 1
To find the percentage of Republican residents in County 1:
1. Number of Republican Residents in County 1: 2,470
2. Total Residents in County 1: 6,520
[tex]\[ \text{Republican Percentage in County 1} = \left( \frac{2,470}{6,520} \right) \times 100 \][/tex]
This gives us:
[tex]\[ \text{Republican Percentage in County 1} \approx 37.9\% \][/tex]
### Democratic Residents of County 1
To find the percentage of Democratic residents in County 1:
1. Number of Democratic Residents in County 1: 4,050
2. Total Residents in County 1: 6,520
[tex]\[ \text{Democratic Percentage in County 1} = \left( \frac{4,050}{6,520} \right) \times 100 \][/tex]
This gives us:
[tex]\[ \text{Democratic Percentage in County 1} \approx 62.1\% \][/tex]
### Total Republican Residents
To find the percentage of total Republican residents in all counties:
1. Total Number of Republican Residents: 14,430
2. Total Number of Residents in All Counties: 24,505
[tex]\[ \text{Total Republican Percentage} = \left( \frac{14,430}{24,505} \right) \times 100 \][/tex]
This gives us:
[tex]\[ \text{Total Republican Percentage} \approx 58.9\% \][/tex]
### Total Democratic Residents
To find the percentage of total Democratic residents in all counties:
1. Total Number of Democratic Residents: 10,075
2. Total Number of Residents in All Counties: 24,505
[tex]\[ \text{Total Democratic Percentage} = \left( \frac{10,075}{24,505} \right) \times 100 \][/tex]
This gives us:
[tex]\[ \text{Total Democratic Percentage} \approx 41.1\% \][/tex]
Summarizing the results:
- Republican residents of County 1: [tex]\( 37.9\% \)[/tex]
- Democratic residents of County 1: [tex]\( 62.1\% \)[/tex]
- Total Republican residents: [tex]\( 58.9\% \)[/tex]
- Total Democratic residents: [tex]\( 41.1\% \)[/tex]
