We appreciate your visit to In a survey 250 adults and children were asked whether they know how to swim The survey data are shown in the relative frequency table. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
- Add the relative frequencies of adults and children who cannot swim: $0.06 + 0.12 = 0.18$.
- Multiply the result by 100 to convert it to a percentage: $0.18 \times 100 = 18$.
- The percentage of people who cannot swim is $18\%$.
- Final Answer: $\boxed{18\%}$
### Explanation
1. Understand the problem
We are given a relative frequency table showing the proportion of adults and children who can and cannot swim. We need to find the percentage of all people surveyed who cannot swim.
2. Calculate the total proportion of people who cannot swim
The proportion of adults who cannot swim is 0.06, and the proportion of children who cannot swim is 0.12. To find the total proportion of people who cannot swim, we add these two values: $$0.06 + 0.12 = 0.18$$
3. Convert the proportion to a percentage
To express this proportion as a percentage, we multiply by 100: $$0.18 \times 100 = 18$$Therefore, 18% of the people surveyed cannot swim.
4. State the final answer
The percentage of people surveyed who cannot swim is $18\%$.
### Examples
Understanding survey data is crucial in many real-world scenarios. For example, public health officials might use survey data to determine the percentage of people who don't know how to swim in order to allocate resources for swimming lessons and water safety programs. Similarly, marketers could use survey data to understand the proportion of their target audience that possesses a particular skill or knowledge.
- Multiply the result by 100 to convert it to a percentage: $0.18 \times 100 = 18$.
- The percentage of people who cannot swim is $18\%$.
- Final Answer: $\boxed{18\%}$
### Explanation
1. Understand the problem
We are given a relative frequency table showing the proportion of adults and children who can and cannot swim. We need to find the percentage of all people surveyed who cannot swim.
2. Calculate the total proportion of people who cannot swim
The proportion of adults who cannot swim is 0.06, and the proportion of children who cannot swim is 0.12. To find the total proportion of people who cannot swim, we add these two values: $$0.06 + 0.12 = 0.18$$
3. Convert the proportion to a percentage
To express this proportion as a percentage, we multiply by 100: $$0.18 \times 100 = 18$$Therefore, 18% of the people surveyed cannot swim.
4. State the final answer
The percentage of people surveyed who cannot swim is $18\%$.
### Examples
Understanding survey data is crucial in many real-world scenarios. For example, public health officials might use survey data to determine the percentage of people who don't know how to swim in order to allocate resources for swimming lessons and water safety programs. Similarly, marketers could use survey data to understand the proportion of their target audience that possesses a particular skill or knowledge.
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