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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.

\[
\begin{tabular}{|c|c|c|c|}
\hline
& \text{Can swim} & \text{Cannot swim} & \text{Total} \\
\hline
\text{Adults} & 0.34 & 0.06 & \\
\hline
\text{Children} & 0.48 & 0.12 & \\
\hline
\text{Total} & & & \\
\hline
\end{tabular}
\]

What percentage of the people surveyed cannot swim?

A. $12\%$

B. $18\%$

C. $6\%$

D. $40\%$

Answer :

To solve the problem, we follow these steps:

1. The table shows that the relative frequency of adults who cannot swim is $0.06$, which means that out of the entire survey, $6\%$ of the people are adults who cannot swim.

2. Similarly, the relative frequency of children who cannot swim is $0.12$, so $12\%$ of the entire survey are children who cannot swim.

3. To find the percentage of all the people surveyed who cannot swim, we add the two relative frequencies:
$$
0.06 + 0.12 = 0.18
$$
This result represents the overall relative frequency.

4. Finally, to convert the relative frequency to a percentage, we multiply by $100$:
$$
0.18 \times 100 = 18\%
$$

Thus, the percentage of people surveyed who cannot swim is $\boxed{18\%}$.

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