High School

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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 cannot swim?

A. [tex]$18\%$[/tex]
B. [tex]$40\%$[/tex]
C. [tex]$6\%$[/tex]
D. [tex]$12\%$[/tex]

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].

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada