Question

the residents of three towns were polled to find the percentage of residents who take a vacation in the summer or in the winter. vacations summer winter total town 1 567 87 654 town 2 345 102 447 town 3 143 158 301 total 1,055 347 1,402 which is the joint relative frequency of those in town 2 who take a summer vacation? round the answer to the nearest percent.

Explanation:

Step1: Recall the formula for joint relative frequency

Joint relative frequency = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$
Here, the number of favorable outcomes is the number of residents in Town 2 who take a summer vacation ($345$), and the total number of outcomes is the total number of residents polled ($1402$).

Step2: Calculate the joint relative frequency

$ \text{Joint relative frequency}=\frac{345}{1402}\approx 0.246$

Step3: Convert to percentage

Multiply by $100$: $0.246\times100 = 24.6\%$
Rounding $24.6\%$ to the nearest percent gives $25\%$

Answer:

$25\%$