Residents of three counties were polled to find the percentage of residents who are Republican or Democrat.
| | Democrat | Republican | Total |
| :------ | :------- | :--------- | :---- |
| County 1 | 4,050 | 2,470 | 6,520 |
| County 2 | 3,925 | 6,010 | 9,935 |
| County 3 | 2,100 | 5,950 | 8,050 |
| Total | 10,075 | 14,430 | 24,505|
Find the following relative frequencies to the nearest tenth of a percent.
Republican residents of County 1: [ ] %
Democratic residents of County 1: [ ] %
Total Republican residents: [ ] %
Total Democratic residents: [ ] %
Answer (2)
The percentages calculated show that in County 1, approximately 37.9% of residents are Republican and 62.1% are Democratic. Overall, about 58.9% of all residents surveyed across the counties are Republican, while 41.1% are Democratic. These figures provide insights into the political affiliation of residents in the surveyed counties.
;
37.9% , 62.1% , 58.9% , 41.1%
Explanation
Understand the problem and provided data We are given a table with the number of Democrat and Republican residents in three counties. We need to find the relative frequencies (percentages) of Republican residents of County 1, Democratic residents of County 1, total Republican residents, and total Democratic residents to the nearest tenth of a percent.
Calculate the percentage of Republican residents in County 1 To find the percentage of Republican residents in County 1, we divide the number of Republican residents in County 1 by the total number of residents in County 1 and multiply by 100. 6520 2470 × 100 The result of this calculation is approximately 37.88%. Rounding to the nearest tenth of a percent, we get 37.9%.
Calculate the percentage of Democratic residents in County 1 To find the percentage of Democratic residents in County 1, we divide the number of Democratic residents in County 1 by the total number of residents in County 1 and multiply by 100. 6520 4050 × 100 The result of this calculation is approximately 62.12%. Rounding to the nearest tenth of a percent, we get 62.1%.
Calculate the percentage of total Republican residents To find the percentage of total Republican residents, we divide the total number of Republican residents by the total number of residents and multiply by 100. 24505 14430 × 100 The result of this calculation is approximately 58.89%. Rounding to the nearest tenth of a percent, we get 58.9%.
Calculate the percentage of total Democratic residents To find the percentage of total Democratic residents, we divide the total number of Democratic residents by the total number of residents and multiply by 100. 24505 10075 × 100 The result of this calculation is approximately 41.11%. Rounding to the nearest tenth of a percent, we get 41.1%.
State the final answer Republican residents of County 1: 37.9% Democratic residents of County 1: 62.1% Total Republican residents: 58.9% Total Democratic residents: 41.1%
Examples
Understanding the distribution of political affiliations within different regions can be very useful in political campaigns. For example, a campaign manager can use this data to decide where to focus their resources. If a county is heavily Republican, the campaign might focus on energizing their base rather than trying to persuade Democrats. Conversely, in a more Democratic county, they might focus on persuading undecided voters or turning out the Democratic vote.
