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Answer :
To solve the question of what percentage of the people surveyed cannot swim, we need to interpret the relative frequency table and calculate the percentage based on the provided data.
Here's a step-by-step explanation of how to determine the percentage of people who cannot swim:
1. Understand the given data:
- The survey has two groups: Adults and Children.
- For people who cannot swim, the relative frequency for adults is 0.06, and for children, it is 0.12.
2. Calculate the total relative frequency for 'Cannot swim':
- Add the relative frequencies for both adults and children who cannot swim:
[tex]\[
\text{Total relative frequency for 'Cannot swim'} = 0.06 + 0.12 = 0.18
\][/tex]
3. Convert the relative frequency to a percentage:
- To convert a relative frequency to a percentage, multiply by 100:
[tex]\[
\text{Percentage who cannot swim} = 0.18 \times 100 = 18\%
\][/tex]
Therefore, the percentage of the people surveyed who cannot swim is [tex]\(18\%\)[/tex].
The correct answer is A. [tex]\(18\%\)[/tex].
Here's a step-by-step explanation of how to determine the percentage of people who cannot swim:
1. Understand the given data:
- The survey has two groups: Adults and Children.
- For people who cannot swim, the relative frequency for adults is 0.06, and for children, it is 0.12.
2. Calculate the total relative frequency for 'Cannot swim':
- Add the relative frequencies for both adults and children who cannot swim:
[tex]\[
\text{Total relative frequency for 'Cannot swim'} = 0.06 + 0.12 = 0.18
\][/tex]
3. Convert the relative frequency to a percentage:
- To convert a relative frequency to a percentage, multiply by 100:
[tex]\[
\text{Percentage who cannot swim} = 0.18 \times 100 = 18\%
\][/tex]
Therefore, the percentage of the people surveyed who cannot swim is [tex]\(18\%\)[/tex].
The correct answer is A. [tex]\(18\%\)[/tex].
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