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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.

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

What percentage of the people surveyed are adults?

A. [tex]$6 \%$[/tex]
B. [tex]$40 \%$[/tex]
C. [tex]$82 \%$[/tex]
D. [tex]$34 \%$[/tex]

Answer :

To find the percentage of the people surveyed who are adults, we can follow these steps:

1. Understand the Table: The relative frequency table shows the proportions of adults and children who can and cannot swim. It includes:
- Adults who can swim: 0.34
- Adults who cannot swim: 0.06
- Children who can swim and cannot swim are also represented but we focus on adults for this question.

2. Calculate the Total Relative Frequency for Adults:
- Add the relative frequencies for both adults who can swim and adults who cannot swim:
[tex]\[
0.34 + 0.06 = 0.40
\][/tex]
This 0.40 represents the proportion of adults in the survey.

3. Convert the Proportion to a Percentage:
- To find the percentage, multiply the relative frequency by 100:
[tex]\[
0.40 \times 100 = 40\%
\][/tex]

Therefore, 40% of the people surveyed are adults.

The correct answer is B. 40%.

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