Question

residents of three counties were polled to find the percentage of residents who are republican or democrat. 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: %

	democrat	republican	total
county 2	3,925	6,010	9,935
county 3	2,100	5,950	8,050
total	10,075	14,430	24,505

Explanation:

Step1: Calculate Republican residents of County 1 relative - frequency

Relative - frequency = $\frac{\text{Number of Republican residents in County 1}}{\text{Total residents in County 1}}\times100\%=\frac{2470}{6520}\times100\%\approx37.9\%$

Step2: Calculate Democratic residents of County 1 relative - frequency

Relative - frequency = $\frac{\text{Number of Democratic residents in County 1}}{\text{Total residents in County 1}}\times100\%=\frac{4050}{6520}\times100\%\approx62.1\%$

Step3: Calculate total Republican residents relative - frequency

Relative - frequency = $\frac{\text{Total number of Republican residents}}{\text{Total number of residents}}\times100\%=\frac{14430}{24505}\times100\%\approx58.9\%$

Step4: Calculate total Democratic residents relative - frequency

Relative - frequency = $\frac{\text{Total number of Democratic residents}}{\text{Total number of residents}}\times100\%=\frac{10075}{24505}\times100\%\approx41.1\%$

Answer:

Republican residents of County 1: $37.9\%$
Democratic residents of County 1: $62.1\%$
Total Republican residents: $58.9\%$
Total Democratic residents: $41.1\%$